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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C22⋊C4

Direct product G=N×Q with N=C22 and Q=C2×C22⋊C4
dρLabelID
C23×C22⋊C464C2^3xC2^2:C4128,2151

Semidirect products G=N:Q with N=C22 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×C22⋊C4) = D4×C22⋊C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C2232C2^2:1(C2xC2^2:C4)128,1070
C22⋊2(C2×C22⋊C4) = C2×C23.23D4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2264C2^2:2(C2xC2^2:C4)128,1019
C22⋊3(C2×C22⋊C4) = C2×C24⋊3C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2:3(C2xC2^2:C4)128,1009

Non-split extensions G=N.Q with N=C22 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C22⋊C4) = C24.549C23φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C2264C2^2.1(C2xC2^2:C4)128,1071
C22.2(C2×C22⋊C4) = D4○(C22⋊C8)φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C2232C2^2.2(C2xC2^2:C4)128,1612
C22.3(C2×C22⋊C4) = C23.C24φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C22168+C2^2.3(C2xC2^2:C4)128,1615
C22.4(C2×C22⋊C4) = M4(2).24C23φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C22168+C2^2.4(C2xC2^2:C4)128,1620
C22.5(C2×C22⋊C4) = M4(2).25C23φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C22328-C2^2.5(C2xC2^2:C4)128,1621
C22.6(C2×C22⋊C4) = 2+ 1+4⋊5C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C2232C2^2.6(C2xC2^2:C4)128,1629
C22.7(C2×C22⋊C4) = 2- 1+4⋊4C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C2264C2^2.7(C2xC2^2:C4)128,1630
C22.8(C2×C22⋊C4) = 2- 1+4⋊5C4φ: C2×C22⋊C4/C22⋊C4 → C2 ⊆ Aut C22164C2^2.8(C2xC2^2:C4)128,1633
C22.9(C2×C22⋊C4) = 2+ 1+4⋊2C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2232C2^2.9(C2xC2^2:C4)128,522
C22.10(C2×C22⋊C4) = 2+ 1+4.2C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C22324C2^2.10(C2xC2^2:C4)128,523
C22.11(C2×C22⋊C4) = 2+ 1+4⋊3C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2232C2^2.11(C2xC2^2:C4)128,524
C22.12(C2×C22⋊C4) = 2- 1+4⋊2C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2232C2^2.12(C2xC2^2:C4)128,525
C22.13(C2×C22⋊C4) = 2+ 1+4⋊4C4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C22324C2^2.13(C2xC2^2:C4)128,526
C22.14(C2×C22⋊C4) = C23.179C24φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2264C2^2.14(C2xC2^2:C4)128,1029
C22.15(C2×C22⋊C4) = C24.90D4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2232C2^2.15(C2xC2^2:C4)128,1040
C22.16(C2×C22⋊C4) = C24.542C23φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2264C2^2.16(C2xC2^2:C4)128,1043
C22.17(C2×C22⋊C4) = C2×(C22×C8)⋊C2φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2264C2^2.17(C2xC2^2:C4)128,1610
C22.18(C2×C22⋊C4) = C24.73(C2×C4)φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2232C2^2.18(C2xC2^2:C4)128,1611
C22.19(C2×C22⋊C4) = C2×M4(2).8C22φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2232C2^2.19(C2xC2^2:C4)128,1619
C22.20(C2×C22⋊C4) = C2×C23.24D4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2264C2^2.20(C2xC2^2:C4)128,1624
C22.21(C2×C22⋊C4) = C2×C23.36D4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2264C2^2.21(C2xC2^2:C4)128,1627
C22.22(C2×C22⋊C4) = C24.98D4φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2232C2^2.22(C2xC2^2:C4)128,1628
C22.23(C2×C22⋊C4) = C22×C4≀C2φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2232C2^2.23(C2xC2^2:C4)128,1631
C22.24(C2×C22⋊C4) = C2×C42⋊C22φ: C2×C22⋊C4/C22×C4 → C2 ⊆ Aut C2232C2^2.24(C2xC2^2:C4)128,1632
C22.25(C2×C22⋊C4) = C2×C4.9C42φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.25(C2xC2^2:C4)128,462
C22.26(C2×C22⋊C4) = C2×C23.9D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.26(C2xC2^2:C4)128,471
C22.27(C2×C22⋊C4) = C2×M4(2)⋊4C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.27(C2xC2^2:C4)128,475
C22.28(C2×C22⋊C4) = C25⋊C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2216C2^2.28(C2xC2^2:C4)128,513
C22.29(C2×C22⋊C4) = C24.165C23φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.29(C2xC2^2:C4)128,514
C22.30(C2×C22⋊C4) = C25.C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2216C2^2.30(C2xC2^2:C4)128,515
C22.31(C2×C22⋊C4) = C4.C22≀C2φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.31(C2xC2^2:C4)128,516
C22.32(C2×C22⋊C4) = (C23×C4).C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.32(C2xC2^2:C4)128,517
C22.33(C2×C22⋊C4) = C4○D4.D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.33(C2xC2^2:C4)128,527
C22.34(C2×C22⋊C4) = (C22×Q8)⋊C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22328-C2^2.34(C2xC2^2:C4)128,528
C22.35(C2×C22⋊C4) = (C2×C42)⋊C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22164C2^2.35(C2xC2^2:C4)128,559
C22.36(C2×C22⋊C4) = C24.C23φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.36(C2xC2^2:C4)128,560
C22.37(C2×C22⋊C4) = C24.6(C2×C4)φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.37(C2xC2^2:C4)128,561
C22.38(C2×C22⋊C4) = (C2×Q8).211D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22328-C2^2.38(C2xC2^2:C4)128,562
C22.39(C2×C22⋊C4) = M4(2)⋊19D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22164C2^2.39(C2xC2^2:C4)128,616
C22.40(C2×C22⋊C4) = C24.23D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.40(C2xC2^2:C4)128,617
C22.41(C2×C22⋊C4) = C4⋊Q8⋊15C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.41(C2xC2^2:C4)128,618
C22.42(C2×C22⋊C4) = C24.24D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2216C2^2.42(C2xC2^2:C4)128,619
C22.43(C2×C22⋊C4) = C4.4D4⋊13C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.43(C2xC2^2:C4)128,620
C22.44(C2×C22⋊C4) = C25.C22φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2216C2^2.44(C2xC2^2:C4)128,621
C22.45(C2×C22⋊C4) = C24.26D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.45(C2xC2^2:C4)128,622
C22.46(C2×C22⋊C4) = (C2×C8)⋊D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22164C2^2.46(C2xC2^2:C4)128,623
C22.47(C2×C22⋊C4) = C4.(C4×D4)φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22328-C2^2.47(C2xC2^2:C4)128,641
C22.48(C2×C22⋊C4) = (C2×C8)⋊4D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.48(C2xC2^2:C4)128,642
C22.49(C2×C22⋊C4) = C42⋊D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.49(C2xC2^2:C4)128,643
C22.50(C2×C22⋊C4) = C42.7D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22328-C2^2.50(C2xC2^2:C4)128,644
C22.51(C2×C22⋊C4) = C24.28D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.51(C2xC2^2:C4)128,645
C22.52(C2×C22⋊C4) = M4(2)⋊21D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.52(C2xC2^2:C4)128,646
C22.53(C2×C22⋊C4) = M4(2).50D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22328-C2^2.53(C2xC2^2:C4)128,647
C22.54(C2×C22⋊C4) = C2×C2≀C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2216C2^2.54(C2xC2^2:C4)128,850
C22.55(C2×C22⋊C4) = C2×C23.D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.55(C2xC2^2:C4)128,851
C22.56(C2×C22⋊C4) = C4○C2≀C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22164C2^2.56(C2xC2^2:C4)128,852
C22.57(C2×C22⋊C4) = C24.36D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.57(C2xC2^2:C4)128,853
C22.58(C2×C22⋊C4) = C2≀C4⋊C2φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.58(C2xC2^2:C4)128,854
C22.59(C2×C22⋊C4) = C23.(C2×D4)φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22328-C2^2.59(C2xC2^2:C4)128,855
C22.60(C2×C22⋊C4) = C2×C42⋊C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2216C2^2.60(C2xC2^2:C4)128,856
C22.61(C2×C22⋊C4) = C2×C42⋊3C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.61(C2xC2^2:C4)128,857
C22.62(C2×C22⋊C4) = C4⋊Q8⋊29C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22164C2^2.62(C2xC2^2:C4)128,858
C22.63(C2×C22⋊C4) = C24.39D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.63(C2xC2^2:C4)128,859
C22.64(C2×C22⋊C4) = C4.4D4⋊C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.64(C2xC2^2:C4)128,860
C22.65(C2×C22⋊C4) = C4⋊Q8⋊C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22328-C2^2.65(C2xC2^2:C4)128,861
C22.66(C2×C22⋊C4) = C2×C42.C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.66(C2xC2^2:C4)128,862
C22.67(C2×C22⋊C4) = C2×C42.3C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.67(C2xC2^2:C4)128,863
C22.68(C2×C22⋊C4) = (C2×D4).135D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22164C2^2.68(C2xC2^2:C4)128,864
C22.69(C2×C22⋊C4) = C4⋊Q8.C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22328-C2^2.69(C2xC2^2:C4)128,865
C22.70(C2×C22⋊C4) = C4⋊1D4.C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22168+C2^2.70(C2xC2^2:C4)128,866
C22.71(C2×C22⋊C4) = (C2×D4).137D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C22328-C2^2.71(C2xC2^2:C4)128,867
C22.72(C2×C22⋊C4) = C2×C23.34D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2264C2^2.72(C2xC2^2:C4)128,1011
C22.73(C2×C22⋊C4) = C25.85C22φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.73(C2xC2^2:C4)128,1012
C22.74(C2×C22⋊C4) = C23.191C24φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.74(C2xC2^2:C4)128,1041
C22.75(C2×C22⋊C4) = C23.192C24φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2264C2^2.75(C2xC2^2:C4)128,1042
C22.76(C2×C22⋊C4) = C2×C24.4C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.76(C2xC2^2:C4)128,1609
C22.77(C2×C22⋊C4) = C22×C23⋊C4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.77(C2xC2^2:C4)128,1613
C22.78(C2×C22⋊C4) = C22×C4.D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.78(C2xC2^2:C4)128,1617
C22.79(C2×C22⋊C4) = C22×C4.10D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2264C2^2.79(C2xC2^2:C4)128,1618
C22.80(C2×C22⋊C4) = C2×C23.37D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2232C2^2.80(C2xC2^2:C4)128,1625
C22.81(C2×C22⋊C4) = C2×C23.38D4φ: C2×C22⋊C4/C24 → C2 ⊆ Aut C2264C2^2.81(C2xC2^2:C4)128,1626
C22.82(C2×C22⋊C4) = C4×C2.C42central extension (φ=1)128C2^2.82(C2xC2^2:C4)128,164
C22.83(C2×C22⋊C4) = C24.17Q8central extension (φ=1)64C2^2.83(C2xC2^2:C4)128,165
C22.84(C2×C22⋊C4) = C24.624C23central extension (φ=1)128C2^2.84(C2xC2^2:C4)128,166
C22.85(C2×C22⋊C4) = C24.625C23central extension (φ=1)128C2^2.85(C2xC2^2:C4)128,167
C22.86(C2×C22⋊C4) = C24.626C23central extension (φ=1)128C2^2.86(C2xC2^2:C4)128,168
C22.87(C2×C22⋊C4) = C23⋊2C42central extension (φ=1)64C2^2.87(C2xC2^2:C4)128,169
C22.88(C2×C22⋊C4) = C2×C23⋊C8central extension (φ=1)32C2^2.88(C2xC2^2:C4)128,188
C22.89(C2×C22⋊C4) = C2×C22.M4(2)central extension (φ=1)64C2^2.89(C2xC2^2:C4)128,189
C22.90(C2×C22⋊C4) = C42.371D4central extension (φ=1)32C2^2.90(C2xC2^2:C4)128,190
C22.91(C2×C22⋊C4) = C23.8M4(2)central extension (φ=1)32C2^2.91(C2xC2^2:C4)128,191
C22.92(C2×C22⋊C4) = C42.393D4central extension (φ=1)32C2^2.92(C2xC2^2:C4)128,192
C22.93(C2×C22⋊C4) = C42.394D4central extension (φ=1)64C2^2.93(C2xC2^2:C4)128,193
C22.94(C2×C22⋊C4) = C2×D4⋊C8central extension (φ=1)64C2^2.94(C2xC2^2:C4)128,206
C22.95(C2×C22⋊C4) = C2×Q8⋊C8central extension (φ=1)128C2^2.95(C2xC2^2:C4)128,207
C22.96(C2×C22⋊C4) = C42.455D4central extension (φ=1)64C2^2.96(C2xC2^2:C4)128,208
C22.97(C2×C22⋊C4) = C42.397D4central extension (φ=1)64C2^2.97(C2xC2^2:C4)128,209
C22.98(C2×C22⋊C4) = C42.398D4central extension (φ=1)32C2^2.98(C2xC2^2:C4)128,210
C22.99(C2×C22⋊C4) = C42.399D4central extension (φ=1)64C2^2.99(C2xC2^2:C4)128,211
C22.100(C2×C22⋊C4) = C2×C22.7C42central extension (φ=1)128C2^2.100(C2xC2^2:C4)128,459
C22.101(C2×C22⋊C4) = C23.28C42central extension (φ=1)64C2^2.101(C2xC2^2:C4)128,460
C22.102(C2×C22⋊C4) = C23.29C42central extension (φ=1)64C2^2.102(C2xC2^2:C4)128,461
C22.103(C2×C22⋊C4) = C2×C42⋊6C4central extension (φ=1)32C2^2.103(C2xC2^2:C4)128,464
C22.104(C2×C22⋊C4) = C24.63D4central extension (φ=1)32C2^2.104(C2xC2^2:C4)128,465
C22.105(C2×C22⋊C4) = C2×C22.4Q16central extension (φ=1)128C2^2.105(C2xC2^2:C4)128,466
C22.106(C2×C22⋊C4) = C24.132D4central extension (φ=1)64C2^2.106(C2xC2^2:C4)128,467
C22.107(C2×C22⋊C4) = C24.152D4central extension (φ=1)64C2^2.107(C2xC2^2:C4)128,468
C22.108(C2×C22⋊C4) = C24.162C23central extension (φ=1)32C2^2.108(C2xC2^2:C4)128,472
C22.109(C2×C22⋊C4) = C2×C22.C42central extension (φ=1)64C2^2.109(C2xC2^2:C4)128,473
C22.110(C2×C22⋊C4) = C23.15C42central extension (φ=1)32C2^2.110(C2xC2^2:C4)128,474
C22.111(C2×C22⋊C4) = C4×C22⋊C8central extension (φ=1)64C2^2.111(C2xC2^2:C4)128,480
C22.112(C2×C22⋊C4) = C42.378D4central extension (φ=1)64C2^2.112(C2xC2^2:C4)128,481
C22.113(C2×C22⋊C4) = C42.379D4central extension (φ=1)64C2^2.113(C2xC2^2:C4)128,482
C22.114(C2×C22⋊C4) = C4×C23⋊C4central extension (φ=1)32C2^2.114(C2xC2^2:C4)128,486
C22.115(C2×C22⋊C4) = C4×C4.D4central extension (φ=1)32C2^2.115(C2xC2^2:C4)128,487
C22.116(C2×C22⋊C4) = C4×C4.10D4central extension (φ=1)64C2^2.116(C2xC2^2:C4)128,488
C22.117(C2×C22⋊C4) = C4×C4≀C2central extension (φ=1)32C2^2.117(C2xC2^2:C4)128,490
C22.118(C2×C22⋊C4) = D4.C42central extension (φ=1)32C2^2.118(C2xC2^2:C4)128,491
C22.119(C2×C22⋊C4) = C4×D4⋊C4central extension (φ=1)64C2^2.119(C2xC2^2:C4)128,492
C22.120(C2×C22⋊C4) = C4×Q8⋊C4central extension (φ=1)128C2^2.120(C2xC2^2:C4)128,493
C22.121(C2×C22⋊C4) = D4⋊C42central extension (φ=1)64C2^2.121(C2xC2^2:C4)128,494
C22.122(C2×C22⋊C4) = Q8⋊C42central extension (φ=1)128C2^2.122(C2xC2^2:C4)128,495
C22.123(C2×C22⋊C4) = C24⋊3C8central extension (φ=1)32C2^2.123(C2xC2^2:C4)128,511
C22.124(C2×C22⋊C4) = C42.425D4central extension (φ=1)64C2^2.124(C2xC2^2:C4)128,529
C22.125(C2×C22⋊C4) = C23.32M4(2)central extension (φ=1)64C2^2.125(C2xC2^2:C4)128,549
C22.126(C2×C22⋊C4) = C23.22M4(2)central extension (φ=1)64C2^2.126(C2xC2^2:C4)128,601
C22.127(C2×C22⋊C4) = C42.325D4central extension (φ=1)64C2^2.127(C2xC2^2:C4)128,686
C22.128(C2×C22⋊C4) = C42.327D4central extension (φ=1)128C2^2.128(C2xC2^2:C4)128,716
C22.129(C2×C22⋊C4) = C22×C2.C42central extension (φ=1)128C2^2.129(C2xC2^2:C4)128,998
C22.130(C2×C22⋊C4) = C2×C4×C22⋊C4central extension (φ=1)64C2^2.130(C2xC2^2:C4)128,1000
C22.131(C2×C22⋊C4) = C2×C23.7Q8central extension (φ=1)64C2^2.131(C2xC2^2:C4)128,1010
C22.132(C2×C22⋊C4) = C2×C24.3C22central extension (φ=1)64C2^2.132(C2xC2^2:C4)128,1024
C22.133(C2×C22⋊C4) = C2×C23.67C23central extension (φ=1)128C2^2.133(C2xC2^2:C4)128,1026
C22.134(C2×C22⋊C4) = C22×C22⋊C8central extension (φ=1)64C2^2.134(C2xC2^2:C4)128,1608
C22.135(C2×C22⋊C4) = C2×C23.C23central extension (φ=1)32C2^2.135(C2xC2^2:C4)128,1614
C22.136(C2×C22⋊C4) = C22×D4⋊C4central extension (φ=1)64C2^2.136(C2xC2^2:C4)128,1622
C22.137(C2×C22⋊C4) = C22×Q8⋊C4central extension (φ=1)128C2^2.137(C2xC2^2:C4)128,1623
C22.138(C2×C22⋊C4) = C24.50D4central stem extension (φ=1)64C2^2.138(C2xC2^2:C4)128,170
C22.139(C2×C22⋊C4) = C24.5Q8central stem extension (φ=1)64C2^2.139(C2xC2^2:C4)128,171
C22.140(C2×C22⋊C4) = C24.52D4central stem extension (φ=1)64C2^2.140(C2xC2^2:C4)128,172
C22.141(C2×C22⋊C4) = C24.631C23central stem extension (φ=1)128C2^2.141(C2xC2^2:C4)128,173
C22.142(C2×C22⋊C4) = C24.635C23central stem extension (φ=1)128C2^2.142(C2xC2^2:C4)128,177
C22.143(C2×C22⋊C4) = C24.636C23central stem extension (φ=1)128C2^2.143(C2xC2^2:C4)128,178
C22.144(C2×C22⋊C4) = C25.3C4central stem extension (φ=1)16C2^2.144(C2xC2^2:C4)128,194
C22.145(C2×C22⋊C4) = (C2×C4)⋊M4(2)central stem extension (φ=1)32C2^2.145(C2xC2^2:C4)128,195
C22.146(C2×C22⋊C4) = C42.42D4central stem extension (φ=1)32C2^2.146(C2xC2^2:C4)128,196
C22.147(C2×C22⋊C4) = C23⋊M4(2)central stem extension (φ=1)32C2^2.147(C2xC2^2:C4)128,197
C22.148(C2×C22⋊C4) = C42.43D4central stem extension (φ=1)32C2^2.148(C2xC2^2:C4)128,198
C22.149(C2×C22⋊C4) = C42.44D4central stem extension (φ=1)64C2^2.149(C2xC2^2:C4)128,199
C22.150(C2×C22⋊C4) = C23⋊C8⋊C2central stem extension (φ=1)32C2^2.150(C2xC2^2:C4)128,200
C22.151(C2×C22⋊C4) = C42.395D4central stem extension (φ=1)32C2^2.151(C2xC2^2:C4)128,201
C22.152(C2×C22⋊C4) = C42.396D4central stem extension (φ=1)64C2^2.152(C2xC2^2:C4)128,202
C22.153(C2×C22⋊C4) = C24.(C2×C4)central stem extension (φ=1)32C2^2.153(C2xC2^2:C4)128,203
C22.154(C2×C22⋊C4) = C24.45(C2×C4)central stem extension (φ=1)32C2^2.154(C2xC2^2:C4)128,204
C22.155(C2×C22⋊C4) = C42.372D4central stem extension (φ=1)32C2^2.155(C2xC2^2:C4)128,205
C22.156(C2×C22⋊C4) = C42.45D4central stem extension (φ=1)64C2^2.156(C2xC2^2:C4)128,212
C22.157(C2×C22⋊C4) = C42.46D4central stem extension (φ=1)64C2^2.157(C2xC2^2:C4)128,213
C22.158(C2×C22⋊C4) = C42.373D4central stem extension (φ=1)64C2^2.158(C2xC2^2:C4)128,214
C22.159(C2×C22⋊C4) = C42.47D4central stem extension (φ=1)64C2^2.159(C2xC2^2:C4)128,215
C22.160(C2×C22⋊C4) = C42.400D4central stem extension (φ=1)64C2^2.160(C2xC2^2:C4)128,216
C22.161(C2×C22⋊C4) = C42.401D4central stem extension (φ=1)64C2^2.161(C2xC2^2:C4)128,217
C22.162(C2×C22⋊C4) = D4⋊M4(2)central stem extension (φ=1)32C2^2.162(C2xC2^2:C4)128,218
C22.163(C2×C22⋊C4) = Q8⋊M4(2)central stem extension (φ=1)64C2^2.163(C2xC2^2:C4)128,219
C22.164(C2×C22⋊C4) = C42.374D4central stem extension (φ=1)64C2^2.164(C2xC2^2:C4)128,220
C22.165(C2×C22⋊C4) = D4⋊4M4(2)central stem extension (φ=1)64C2^2.165(C2xC2^2:C4)128,221
C22.166(C2×C22⋊C4) = D4⋊5M4(2)central stem extension (φ=1)32C2^2.166(C2xC2^2:C4)128,222
C22.167(C2×C22⋊C4) = Q8⋊5M4(2)central stem extension (φ=1)64C2^2.167(C2xC2^2:C4)128,223
C22.168(C2×C22⋊C4) = C42.315D4central stem extension (φ=1)64C2^2.168(C2xC2^2:C4)128,224
C22.169(C2×C22⋊C4) = C42.316D4central stem extension (φ=1)64C2^2.169(C2xC2^2:C4)128,225
C22.170(C2×C22⋊C4) = C42.305D4central stem extension (φ=1)64C2^2.170(C2xC2^2:C4)128,226
C22.171(C2×C22⋊C4) = C42.52D4central stem extension (φ=1)64C2^2.171(C2xC2^2:C4)128,227
C22.172(C2×C22⋊C4) = C42.53D4central stem extension (φ=1)64C2^2.172(C2xC2^2:C4)128,228
C22.173(C2×C22⋊C4) = C42.54D4central stem extension (φ=1)64C2^2.173(C2xC2^2:C4)128,229
C22.174(C2×C22⋊C4) = C2×C22.SD16central stem extension (φ=1)32C2^2.174(C2xC2^2:C4)128,230
C22.175(C2×C22⋊C4) = C2×C23.31D4central stem extension (φ=1)32C2^2.175(C2xC2^2:C4)128,231
C22.176(C2×C22⋊C4) = C42.375D4central stem extension (φ=1)32C2^2.176(C2xC2^2:C4)128,232
C22.177(C2×C22⋊C4) = C24.53D4central stem extension (φ=1)32C2^2.177(C2xC2^2:C4)128,233
C22.178(C2×C22⋊C4) = C42.403D4central stem extension (φ=1)32C2^2.178(C2xC2^2:C4)128,234
C22.179(C2×C22⋊C4) = C42.404D4central stem extension (φ=1)32C2^2.179(C2xC2^2:C4)128,235
C22.180(C2×C22⋊C4) = C24.150D4central stem extension (φ=1)16C2^2.180(C2xC2^2:C4)128,236
C22.181(C2×C22⋊C4) = C42.55D4central stem extension (φ=1)32C2^2.181(C2xC2^2:C4)128,237
C22.182(C2×C22⋊C4) = C42.56D4central stem extension (φ=1)32C2^2.182(C2xC2^2:C4)128,238
C22.183(C2×C22⋊C4) = C24.54D4central stem extension (φ=1)32C2^2.183(C2xC2^2:C4)128,239
C22.184(C2×C22⋊C4) = C24.55D4central stem extension (φ=1)32C2^2.184(C2xC2^2:C4)128,240
C22.185(C2×C22⋊C4) = C42.57D4central stem extension (φ=1)32C2^2.185(C2xC2^2:C4)128,241
C22.186(C2×C22⋊C4) = C24.56D4central stem extension (φ=1)32C2^2.186(C2xC2^2:C4)128,242
C22.187(C2×C22⋊C4) = C24.57D4central stem extension (φ=1)32C2^2.187(C2xC2^2:C4)128,243
C22.188(C2×C22⋊C4) = C42.58D4central stem extension (φ=1)32C2^2.188(C2xC2^2:C4)128,244
C22.189(C2×C22⋊C4) = C24.58D4central stem extension (φ=1)32C2^2.189(C2xC2^2:C4)128,245
C22.190(C2×C22⋊C4) = C42.59D4central stem extension (φ=1)32C2^2.190(C2xC2^2:C4)128,246
C22.191(C2×C22⋊C4) = C42.60D4central stem extension (φ=1)32C2^2.191(C2xC2^2:C4)128,247
C22.192(C2×C22⋊C4) = C24.59D4central stem extension (φ=1)32C2^2.192(C2xC2^2:C4)128,248
C22.193(C2×C22⋊C4) = C42.61D4central stem extension (φ=1)32C2^2.193(C2xC2^2:C4)128,249
C22.194(C2×C22⋊C4) = C42.62D4central stem extension (φ=1)32C2^2.194(C2xC2^2:C4)128,250
C22.195(C2×C22⋊C4) = C24.60D4central stem extension (φ=1)32C2^2.195(C2xC2^2:C4)128,251
C22.196(C2×C22⋊C4) = C24.61D4central stem extension (φ=1)32C2^2.196(C2xC2^2:C4)128,252
C22.197(C2×C22⋊C4) = C42.63D4central stem extension (φ=1)32C2^2.197(C2xC2^2:C4)128,253
C22.198(C2×C22⋊C4) = C2×C42.C22central stem extension (φ=1)64C2^2.198(C2xC2^2:C4)128,254
C22.199(C2×C22⋊C4) = C2×C42.2C22central stem extension (φ=1)128C2^2.199(C2xC2^2:C4)128,255
C22.200(C2×C22⋊C4) = C42.66D4central stem extension (φ=1)64C2^2.200(C2xC2^2:C4)128,256
C22.201(C2×C22⋊C4) = C42.405D4central stem extension (φ=1)64C2^2.201(C2xC2^2:C4)128,257
C22.202(C2×C22⋊C4) = C42.406D4central stem extension (φ=1)64C2^2.202(C2xC2^2:C4)128,258
C22.203(C2×C22⋊C4) = C42.407D4central stem extension (φ=1)32C2^2.203(C2xC2^2:C4)128,259
C22.204(C2×C22⋊C4) = C42.408D4central stem extension (φ=1)64C2^2.204(C2xC2^2:C4)128,260
C22.205(C2×C22⋊C4) = C42.376D4central stem extension (φ=1)64C2^2.205(C2xC2^2:C4)128,261
C22.206(C2×C22⋊C4) = C42.67D4central stem extension (φ=1)64C2^2.206(C2xC2^2:C4)128,262
C22.207(C2×C22⋊C4) = C42.68D4central stem extension (φ=1)64C2^2.207(C2xC2^2:C4)128,263
C22.208(C2×C22⋊C4) = C42.69D4central stem extension (φ=1)64C2^2.208(C2xC2^2:C4)128,264
C22.209(C2×C22⋊C4) = C42.70D4central stem extension (φ=1)32C2^2.209(C2xC2^2:C4)128,265
C22.210(C2×C22⋊C4) = C42.71D4central stem extension (φ=1)64C2^2.210(C2xC2^2:C4)128,266
C22.211(C2×C22⋊C4) = C42.72D4central stem extension (φ=1)64C2^2.211(C2xC2^2:C4)128,267
C22.212(C2×C22⋊C4) = C42.73D4central stem extension (φ=1)64C2^2.212(C2xC2^2:C4)128,268
C22.213(C2×C22⋊C4) = C42.74D4central stem extension (φ=1)64C2^2.213(C2xC2^2:C4)128,269
C22.214(C2×C22⋊C4) = C2×C4.D8central stem extension (φ=1)64C2^2.214(C2xC2^2:C4)128,270
C22.215(C2×C22⋊C4) = C2×C4.10D8central stem extension (φ=1)128C2^2.215(C2xC2^2:C4)128,271
C22.216(C2×C22⋊C4) = C42.409D4central stem extension (φ=1)64C2^2.216(C2xC2^2:C4)128,272
C22.217(C2×C22⋊C4) = C2×C4.6Q16central stem extension (φ=1)128C2^2.217(C2xC2^2:C4)128,273
C22.218(C2×C22⋊C4) = C42.410D4central stem extension (φ=1)64C2^2.218(C2xC2^2:C4)128,274
C22.219(C2×C22⋊C4) = C42.411D4central stem extension (φ=1)64C2^2.219(C2xC2^2:C4)128,275
C22.220(C2×C22⋊C4) = C42.412D4central stem extension (φ=1)64C2^2.220(C2xC2^2:C4)128,276
C22.221(C2×C22⋊C4) = C42.413D4central stem extension (φ=1)32C2^2.221(C2xC2^2:C4)128,277
C22.222(C2×C22⋊C4) = C42.414D4central stem extension (φ=1)64C2^2.222(C2xC2^2:C4)128,278
C22.223(C2×C22⋊C4) = C42.78D4central stem extension (φ=1)64C2^2.223(C2xC2^2:C4)128,279
C22.224(C2×C22⋊C4) = C42.415D4central stem extension (φ=1)64C2^2.224(C2xC2^2:C4)128,280
C22.225(C2×C22⋊C4) = C42.416D4central stem extension (φ=1)64C2^2.225(C2xC2^2:C4)128,281
C22.226(C2×C22⋊C4) = C42.79D4central stem extension (φ=1)64C2^2.226(C2xC2^2:C4)128,282
C22.227(C2×C22⋊C4) = C42.80D4central stem extension (φ=1)64C2^2.227(C2xC2^2:C4)128,283
C22.228(C2×C22⋊C4) = C42.81D4central stem extension (φ=1)64C2^2.228(C2xC2^2:C4)128,284
C22.229(C2×C22⋊C4) = C42.417D4central stem extension (φ=1)64C2^2.229(C2xC2^2:C4)128,285
C22.230(C2×C22⋊C4) = C42.418D4central stem extension (φ=1)64C2^2.230(C2xC2^2:C4)128,286
C22.231(C2×C22⋊C4) = C42.82D4central stem extension (φ=1)32C2^2.231(C2xC2^2:C4)128,287
C22.232(C2×C22⋊C4) = C42.83D4central stem extension (φ=1)64C2^2.232(C2xC2^2:C4)128,288
C22.233(C2×C22⋊C4) = C42.84D4central stem extension (φ=1)64C2^2.233(C2xC2^2:C4)128,289
C22.234(C2×C22⋊C4) = C42.85D4central stem extension (φ=1)64C2^2.234(C2xC2^2:C4)128,290
C22.235(C2×C22⋊C4) = C42.86D4central stem extension (φ=1)64C2^2.235(C2xC2^2:C4)128,291
C22.236(C2×C22⋊C4) = C42.87D4central stem extension (φ=1)64C2^2.236(C2xC2^2:C4)128,292
C22.237(C2×C22⋊C4) = C42.88D4central stem extension (φ=1)64C2^2.237(C2xC2^2:C4)128,293
C22.238(C2×C22⋊C4) = C24.51(C2×C4)central stem extension (φ=1)64C2^2.238(C2xC2^2:C4)128,512
C22.239(C2×C22⋊C4) = C23.35D8central stem extension (φ=1)32C2^2.239(C2xC2^2:C4)128,518
C22.240(C2×C22⋊C4) = C24.155D4central stem extension (φ=1)64C2^2.240(C2xC2^2:C4)128,519
C22.241(C2×C22⋊C4) = C24.65D4central stem extension (φ=1)64C2^2.241(C2xC2^2:C4)128,520
C22.242(C2×C22⋊C4) = C24.66D4central stem extension (φ=1)32C2^2.242(C2xC2^2:C4)128,521
C22.243(C2×C22⋊C4) = C42.95D4central stem extension (φ=1)64C2^2.243(C2xC2^2:C4)128,530
C22.244(C2×C22⋊C4) = C24.167C23central stem extension (φ=1)32C2^2.244(C2xC2^2:C4)128,531
C22.245(C2×C22⋊C4) = C42.96D4central stem extension (φ=1)32C2^2.245(C2xC2^2:C4)128,532
C22.246(C2×C22⋊C4) = C42.97D4central stem extension (φ=1)64C2^2.246(C2xC2^2:C4)128,533
C22.247(C2×C22⋊C4) = C42.98D4central stem extension (φ=1)64C2^2.247(C2xC2^2:C4)128,534
C22.248(C2×C22⋊C4) = C42.99D4central stem extension (φ=1)128C2^2.248(C2xC2^2:C4)128,535
C22.249(C2×C22⋊C4) = C42.100D4central stem extension (φ=1)64C2^2.249(C2xC2^2:C4)128,536
C22.250(C2×C22⋊C4) = C42.101D4central stem extension (φ=1)128C2^2.250(C2xC2^2:C4)128,537
C22.251(C2×C22⋊C4) = C42.102D4central stem extension (φ=1)32C2^2.251(C2xC2^2:C4)128,538
C22.252(C2×C22⋊C4) = C24.53(C2×C4)central stem extension (φ=1)64C2^2.252(C2xC2^2:C4)128,550
C22.253(C2×C22⋊C4) = C24.68D4central stem extension (φ=1)16C2^2.253(C2xC2^2:C4)128,551
C22.254(C2×C22⋊C4) = C24.169C23central stem extension (φ=1)32C2^2.254(C2xC2^2:C4)128,552
C22.255(C2×C22⋊C4) = (C22×C4).275D4central stem extension (φ=1)32C2^2.255(C2xC2^2:C4)128,553
C22.256(C2×C22⋊C4) = (C22×C4).276D4central stem extension (φ=1)32C2^2.256(C2xC2^2:C4)128,554
C22.257(C2×C22⋊C4) = C23.36D8central stem extension (φ=1)64C2^2.257(C2xC2^2:C4)128,555
C22.258(C2×C22⋊C4) = C24.157D4central stem extension (φ=1)64C2^2.258(C2xC2^2:C4)128,556
C22.259(C2×C22⋊C4) = C24.69D4central stem extension (φ=1)64C2^2.259(C2xC2^2:C4)128,557
C22.260(C2×C22⋊C4) = C24.70D4central stem extension (φ=1)32C2^2.260(C2xC2^2:C4)128,558
C22.261(C2×C22⋊C4) = C23⋊2M4(2)central stem extension (φ=1)64C2^2.261(C2xC2^2:C4)128,602
C22.262(C2×C22⋊C4) = C24.72D4central stem extension (φ=1)32C2^2.262(C2xC2^2:C4)128,603
C22.263(C2×C22⋊C4) = C24.160D4central stem extension (φ=1)64C2^2.263(C2xC2^2:C4)128,604
C22.264(C2×C22⋊C4) = C24.73D4central stem extension (φ=1)64C2^2.264(C2xC2^2:C4)128,605
C22.265(C2×C22⋊C4) = C23.38D8central stem extension (φ=1)64C2^2.265(C2xC2^2:C4)128,606
C22.266(C2×C22⋊C4) = C24.74D4central stem extension (φ=1)64C2^2.266(C2xC2^2:C4)128,607
C22.267(C2×C22⋊C4) = C24.135D4central stem extension (φ=1)64C2^2.267(C2xC2^2:C4)128,624
C22.268(C2×C22⋊C4) = C23.23D8central stem extension (φ=1)64C2^2.268(C2xC2^2:C4)128,625
C22.269(C2×C22⋊C4) = C24.75D4central stem extension (φ=1)64C2^2.269(C2xC2^2:C4)128,626
C22.270(C2×C22⋊C4) = C24.76D4central stem extension (φ=1)64C2^2.270(C2xC2^2:C4)128,627
C22.271(C2×C22⋊C4) = (C2×C4)≀C2central stem extension (φ=1)16C2^2.271(C2xC2^2:C4)128,628
C22.272(C2×C22⋊C4) = C42⋊7D4central stem extension (φ=1)32C2^2.272(C2xC2^2:C4)128,629
C22.273(C2×C22⋊C4) = C24.78D4central stem extension (φ=1)16C2^2.273(C2xC2^2:C4)128,630
C22.274(C2×C22⋊C4) = C24.174C23central stem extension (φ=1)32C2^2.274(C2xC2^2:C4)128,631
C22.275(C2×C22⋊C4) = M4(2)⋊20D4central stem extension (φ=1)32C2^2.275(C2xC2^2:C4)128,632
C22.276(C2×C22⋊C4) = M4(2).45D4central stem extension (φ=1)32C2^2.276(C2xC2^2:C4)128,633
C22.277(C2×C22⋊C4) = C42.109D4central stem extension (φ=1)64C2^2.277(C2xC2^2:C4)128,687
C22.278(C2×C22⋊C4) = C42.431D4central stem extension (φ=1)128C2^2.278(C2xC2^2:C4)128,688
C22.279(C2×C22⋊C4) = C42.432D4central stem extension (φ=1)64C2^2.279(C2xC2^2:C4)128,689
C22.280(C2×C22⋊C4) = C42.433D4central stem extension (φ=1)64C2^2.280(C2xC2^2:C4)128,690
C22.281(C2×C22⋊C4) = C42.110D4central stem extension (φ=1)64C2^2.281(C2xC2^2:C4)128,691
C22.282(C2×C22⋊C4) = C42.111D4central stem extension (φ=1)128C2^2.282(C2xC2^2:C4)128,692
C22.283(C2×C22⋊C4) = C42.112D4central stem extension (φ=1)64C2^2.283(C2xC2^2:C4)128,693
C22.284(C2×C22⋊C4) = C43⋊C2central stem extension (φ=1)32C2^2.284(C2xC2^2:C4)128,694
C22.285(C2×C22⋊C4) = C42⋊8D4central stem extension (φ=1)32C2^2.285(C2xC2^2:C4)128,695
C22.286(C2×C22⋊C4) = C24.175C23central stem extension (φ=1)32C2^2.286(C2xC2^2:C4)128,696
C22.287(C2×C22⋊C4) = M4(2)⋊12D4central stem extension (φ=1)32C2^2.287(C2xC2^2:C4)128,697
C22.288(C2×C22⋊C4) = C42.114D4central stem extension (φ=1)64C2^2.288(C2xC2^2:C4)128,698
C22.289(C2×C22⋊C4) = C42.115D4central stem extension (φ=1)32C2^2.289(C2xC2^2:C4)128,699
C22.290(C2×C22⋊C4) = M4(2)⋊13D4central stem extension (φ=1)32C2^2.290(C2xC2^2:C4)128,712
C22.291(C2×C22⋊C4) = C42.117D4central stem extension (φ=1)128C2^2.291(C2xC2^2:C4)128,713
C22.292(C2×C22⋊C4) = C42.118D4central stem extension (φ=1)64C2^2.292(C2xC2^2:C4)128,714
C22.293(C2×C22⋊C4) = C42.119D4central stem extension (φ=1)64C2^2.293(C2xC2^2:C4)128,715
C22.294(C2×C22⋊C4) = C42.120D4central stem extension (φ=1)128C2^2.294(C2xC2^2:C4)128,717
C22.295(C2×C22⋊C4) = M4(2)⋊7Q8central stem extension (φ=1)32C2^2.295(C2xC2^2:C4)128,718
C22.296(C2×C22⋊C4) = C42.121D4central stem extension (φ=1)128C2^2.296(C2xC2^2:C4)128,719
C22.297(C2×C22⋊C4) = C42.122D4central stem extension (φ=1)128C2^2.297(C2xC2^2:C4)128,720
C22.298(C2×C22⋊C4) = C42.123D4central stem extension (φ=1)128C2^2.298(C2xC2^2:C4)128,721
C22.299(C2×C22⋊C4) = C42.436D4central stem extension (φ=1)128C2^2.299(C2xC2^2:C4)128,722
C22.300(C2×C22⋊C4) = C42.437D4central stem extension (φ=1)128C2^2.300(C2xC2^2:C4)128,723
C22.301(C2×C22⋊C4) = C42.124D4central stem extension (φ=1)128C2^2.301(C2xC2^2:C4)128,724
C22.302(C2×C22⋊C4) = C42.125D4central stem extension (φ=1)128C2^2.302(C2xC2^2:C4)128,725
C22.303(C2×C22⋊C4) = C42⋊16Q8central stem extension (φ=1)32C2^2.303(C2xC2^2:C4)128,726
C22.304(C2×C22⋊C4) = C42⋊Q8central stem extension (φ=1)32C2^2.304(C2xC2^2:C4)128,727
C22.305(C2×C22⋊C4) = C24.176C23central stem extension (φ=1)32C2^2.305(C2xC2^2:C4)128,728
C22.306(C2×C22⋊C4) = M4(2)⋊8Q8central stem extension (φ=1)64C2^2.306(C2xC2^2:C4)128,729
C22.307(C2×C22⋊C4) = C42.128D4central stem extension (φ=1)64C2^2.307(C2xC2^2:C4)128,730

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