# Extensions 1→N→G→Q→1 with N=C22 and Q=C4.4D4

Direct product G=N×Q with N=C22 and Q=C4.4D4
dρLabelID
C22×C4.4D464C2^2xC4.4D4128,2168

Semidirect products G=N:Q with N=C22 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C221(C4.4D4) = C4246D4φ: C4.4D4/C42C2 ⊆ Aut C2264C2^2:1(C4.4D4)128,1582
C222(C4.4D4) = C23.372C24φ: C4.4D4/C22⋊C4C2 ⊆ Aut C2232C2^2:2(C4.4D4)128,1204
C223(C4.4D4) = C23.335C24φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2:3(C4.4D4)128,1167
C224(C4.4D4) = C24.565C23φ: C4.4D4/C2×Q8C2 ⊆ Aut C2264C2^2:4(C4.4D4)128,1168

Non-split extensions G=N.Q with N=C22 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C22.1(C4.4D4) = C42.326D4φ: C4.4D4/C42C2 ⊆ Aut C2232C2^2.1(C4.4D4)128,706
C22.2(C4.4D4) = C42.116D4φ: C4.4D4/C42C2 ⊆ Aut C2232C2^2.2(C4.4D4)128,707
C22.3(C4.4D4) = C24.592C23φ: C4.4D4/C42C2 ⊆ Aut C2264C2^2.3(C4.4D4)128,1371
C22.4(C4.4D4) = C42.355D4φ: C4.4D4/C42C2 ⊆ Aut C2264C2^2.4(C4.4D4)128,1863
C22.5(C4.4D4) = C42.239D4φ: C4.4D4/C42C2 ⊆ Aut C2264C2^2.5(C4.4D4)128,1867
C22.6(C4.4D4) = M4(2).24D4φ: C4.4D4/C22⋊C4C2 ⊆ Aut C2232C2^2.6(C4.4D4)128,661
C22.7(C4.4D4) = C42.427D4φ: C4.4D4/C22⋊C4C2 ⊆ Aut C22164C2^2.7(C4.4D4)128,664
C22.8(C4.4D4) = C42.8D4φ: C4.4D4/C22⋊C4C2 ⊆ Aut C22164C2^2.8(C4.4D4)128,763
C22.9(C4.4D4) = C24⋊Q8φ: C4.4D4/C22⋊C4C2 ⊆ Aut C22168+C2^2.9(C4.4D4)128,764
C22.10(C4.4D4) = M4(2).8D4φ: C4.4D4/C22⋊C4C2 ⊆ Aut C22168+C2^2.10(C4.4D4)128,780
C22.11(C4.4D4) = M4(2).9D4φ: C4.4D4/C22⋊C4C2 ⊆ Aut C22328-C2^2.11(C4.4D4)128,781
C22.12(C4.4D4) = M4(2).10D4φ: C4.4D4/C22⋊C4C2 ⊆ Aut C2232C2^2.12(C4.4D4)128,783
C22.13(C4.4D4) = M4(2).11D4φ: C4.4D4/C22⋊C4C2 ⊆ Aut C2264C2^2.13(C4.4D4)128,784
C22.14(C4.4D4) = C23.388C24φ: C4.4D4/C22⋊C4C2 ⊆ Aut C2264C2^2.14(C4.4D4)128,1220
C22.15(C4.4D4) = C42.366C23φ: C4.4D4/C22⋊C4C2 ⊆ Aut C2232C2^2.15(C4.4D4)128,1868
C22.16(C4.4D4) = C42.367C23φ: C4.4D4/C22⋊C4C2 ⊆ Aut C2264C2^2.16(C4.4D4)128,1869
C22.17(C4.4D4) = C8.(C4⋊C4)φ: C4.4D4/C2×D4C2 ⊆ Aut C22324C2^2.17(C4.4D4)128,565
C22.18(C4.4D4) = M4(2).31D4φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.18(C4.4D4)128,709
C22.19(C4.4D4) = M4(2).32D4φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.19(C4.4D4)128,710
C22.20(C4.4D4) = M4(2).33D4φ: C4.4D4/C2×D4C2 ⊆ Aut C2264C2^2.20(C4.4D4)128,711
C22.21(C4.4D4) = M4(2)⋊7Q8φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.21(C4.4D4)128,718
C22.22(C4.4D4) = C24.176C23φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.22(C4.4D4)128,728
C22.23(C4.4D4) = (C2×D4)⋊2Q8φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.23(C4.4D4)128,759
C22.24(C4.4D4) = (C2×Q8)⋊2Q8φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.24(C4.4D4)128,760
C22.25(C4.4D4) = C242Q8φ: C4.4D4/C2×D4C2 ⊆ Aut C2216C2^2.25(C4.4D4)128,761
C22.26(C4.4D4) = C24.180C23φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.26(C4.4D4)128,762
C22.27(C4.4D4) = (C2×C8).D4φ: C4.4D4/C2×D4C2 ⊆ Aut C22168+C2^2.27(C4.4D4)128,813
C22.28(C4.4D4) = (C2×C8).6D4φ: C4.4D4/C2×D4C2 ⊆ Aut C22328-C2^2.28(C4.4D4)128,814
C22.29(C4.4D4) = C24.579C23φ: C4.4D4/C2×D4C2 ⊆ Aut C2264C2^2.29(C4.4D4)128,1235
C22.30(C4.4D4) = C23.461C24φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.30(C4.4D4)128,1293
C22.31(C4.4D4) = C42.240D4φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.31(C4.4D4)128,1870
C22.32(C4.4D4) = C42.241D4φ: C4.4D4/C2×D4C2 ⊆ Aut C2264C2^2.32(C4.4D4)128,1871
C22.33(C4.4D4) = C42.242D4φ: C4.4D4/C2×D4C2 ⊆ Aut C2232C2^2.33(C4.4D4)128,1872
C22.34(C4.4D4) = C24.175C23φ: C4.4D4/C2×Q8C2 ⊆ Aut C2232C2^2.34(C4.4D4)128,696
C22.35(C4.4D4) = M4(2)⋊13D4φ: C4.4D4/C2×Q8C2 ⊆ Aut C2232C2^2.35(C4.4D4)128,712
C22.36(C4.4D4) = C4211D4φ: C4.4D4/C2×Q8C2 ⊆ Aut C2232C2^2.36(C4.4D4)128,771
C22.37(C4.4D4) = C4212D4φ: C4.4D4/C2×Q8C2 ⊆ Aut C2232C2^2.37(C4.4D4)128,772
C22.38(C4.4D4) = C24.33D4φ: C4.4D4/C2×Q8C2 ⊆ Aut C2232C2^2.38(C4.4D4)128,776
C22.39(C4.4D4) = C23.404C24φ: C4.4D4/C2×Q8C2 ⊆ Aut C2264C2^2.39(C4.4D4)128,1236
C22.40(C4.4D4) = C23.491C24φ: C4.4D4/C2×Q8C2 ⊆ Aut C2264C2^2.40(C4.4D4)128,1323
C22.41(C4.4D4) = C42.243D4φ: C4.4D4/C2×Q8C2 ⊆ Aut C2264C2^2.41(C4.4D4)128,1873
C22.42(C4.4D4) = C42.244D4φ: C4.4D4/C2×Q8C2 ⊆ Aut C2264C2^2.42(C4.4D4)128,1874
C22.43(C4.4D4) = C24.624C23central extension (φ=1)128C2^2.43(C4.4D4)128,166
C22.44(C4.4D4) = C24.625C23central extension (φ=1)128C2^2.44(C4.4D4)128,167
C22.45(C4.4D4) = C24.626C23central extension (φ=1)128C2^2.45(C4.4D4)128,168
C22.46(C4.4D4) = C232C42central extension (φ=1)64C2^2.46(C4.4D4)128,169
C22.47(C4.4D4) = C24.50D4central extension (φ=1)64C2^2.47(C4.4D4)128,170
C22.48(C4.4D4) = C24.5Q8central extension (φ=1)64C2^2.48(C4.4D4)128,171
C22.49(C4.4D4) = C24.52D4central extension (φ=1)64C2^2.49(C4.4D4)128,172
C22.50(C4.4D4) = C24.631C23central extension (φ=1)128C2^2.50(C4.4D4)128,173
C22.51(C4.4D4) = C24.632C23central extension (φ=1)128C2^2.51(C4.4D4)128,174
C22.52(C4.4D4) = C24.633C23central extension (φ=1)128C2^2.52(C4.4D4)128,175
C22.53(C4.4D4) = C24.635C23central extension (φ=1)128C2^2.53(C4.4D4)128,177
C22.54(C4.4D4) = C24.636C23central extension (φ=1)128C2^2.54(C4.4D4)128,178
C22.55(C4.4D4) = C42.55Q8central extension (φ=1)128C2^2.55(C4.4D4)128,566
C22.56(C4.4D4) = C42.56Q8central extension (φ=1)128C2^2.56(C4.4D4)128,567
C22.57(C4.4D4) = C42.24Q8central extension (φ=1)128C2^2.57(C4.4D4)128,568
C22.58(C4.4D4) = C2.(C88D4)central extension (φ=1)128C2^2.58(C4.4D4)128,665
C22.59(C4.4D4) = C2.(C87D4)central extension (φ=1)64C2^2.59(C4.4D4)128,666
C22.60(C4.4D4) = C2.(C8⋊D4)central extension (φ=1)128C2^2.60(C4.4D4)128,667
C22.61(C4.4D4) = C2.(C82D4)central extension (φ=1)64C2^2.61(C4.4D4)128,668
C22.62(C4.4D4) = C42.431D4central extension (φ=1)128C2^2.62(C4.4D4)128,688
C22.63(C4.4D4) = C42.432D4central extension (φ=1)64C2^2.63(C4.4D4)128,689
C22.64(C4.4D4) = C42.433D4central extension (φ=1)64C2^2.64(C4.4D4)128,690
C22.65(C4.4D4) = C42.110D4central extension (φ=1)64C2^2.65(C4.4D4)128,691
C22.66(C4.4D4) = C42.111D4central extension (φ=1)128C2^2.66(C4.4D4)128,692
C22.67(C4.4D4) = C42.112D4central extension (φ=1)64C2^2.67(C4.4D4)128,693
C22.68(C4.4D4) = C42.436D4central extension (φ=1)128C2^2.68(C4.4D4)128,722
C22.69(C4.4D4) = C42.437D4central extension (φ=1)128C2^2.69(C4.4D4)128,723
C22.70(C4.4D4) = C42.124D4central extension (φ=1)128C2^2.70(C4.4D4)128,724
C22.71(C4.4D4) = C42.125D4central extension (φ=1)128C2^2.71(C4.4D4)128,725
C22.72(C4.4D4) = C2×C428C4central extension (φ=1)128C2^2.72(C4.4D4)128,1013
C22.73(C4.4D4) = C2×C24.C22central extension (φ=1)64C2^2.73(C4.4D4)128,1021
C22.74(C4.4D4) = C2×C24.3C22central extension (φ=1)64C2^2.74(C4.4D4)128,1024
C22.75(C4.4D4) = C2×C23.67C23central extension (φ=1)128C2^2.75(C4.4D4)128,1026
C22.76(C4.4D4) = C2×C23⋊Q8central extension (φ=1)64C2^2.76(C4.4D4)128,1117
C22.77(C4.4D4) = C2×C23.10D4central extension (φ=1)64C2^2.77(C4.4D4)128,1118
C22.78(C4.4D4) = C2×C23.11D4central extension (φ=1)64C2^2.78(C4.4D4)128,1122
C22.79(C4.4D4) = C2×C23.83C23central extension (φ=1)128C2^2.79(C4.4D4)128,1126
C22.80(C4.4D4) = C2×C4.4D8central extension (φ=1)64C2^2.80(C4.4D4)128,1860
C22.81(C4.4D4) = C2×C4.SD16central extension (φ=1)128C2^2.81(C4.4D4)128,1861
C22.82(C4.4D4) = C2×C42.78C22central extension (φ=1)64C2^2.82(C4.4D4)128,1862
C22.83(C4.4D4) = C2×C42.28C22central extension (φ=1)64C2^2.83(C4.4D4)128,1864
C22.84(C4.4D4) = C2×C42.29C22central extension (φ=1)64C2^2.84(C4.4D4)128,1865
C22.85(C4.4D4) = C2×C42.30C22central extension (φ=1)128C2^2.85(C4.4D4)128,1866
C22.86(C4.4D4) = (C2×D4)⋊Q8central stem extension (φ=1)64C2^2.86(C4.4D4)128,755
C22.87(C4.4D4) = (C2×Q8)⋊Q8central stem extension (φ=1)128C2^2.87(C4.4D4)128,756
C22.88(C4.4D4) = C4⋊C4.84D4central stem extension (φ=1)64C2^2.88(C4.4D4)128,757
C22.89(C4.4D4) = C4⋊C4.85D4central stem extension (φ=1)128C2^2.89(C4.4D4)128,758
C22.90(C4.4D4) = C4⋊C47D4central stem extension (φ=1)64C2^2.90(C4.4D4)128,773
C22.91(C4.4D4) = C4⋊C4.94D4central stem extension (φ=1)64C2^2.91(C4.4D4)128,774
C22.92(C4.4D4) = C4⋊C4.95D4central stem extension (φ=1)128C2^2.92(C4.4D4)128,775
C22.93(C4.4D4) = (C2×C4).24D8central stem extension (φ=1)64C2^2.93(C4.4D4)128,803
C22.94(C4.4D4) = (C2×C4).19Q16central stem extension (φ=1)128C2^2.94(C4.4D4)128,804
C22.95(C4.4D4) = C428C4⋊C2central stem extension (φ=1)64C2^2.95(C4.4D4)128,805
C22.96(C4.4D4) = (C2×Q8).109D4central stem extension (φ=1)128C2^2.96(C4.4D4)128,806
C22.97(C4.4D4) = (C2×C4).28D8central stem extension (φ=1)128C2^2.97(C4.4D4)128,831
C22.98(C4.4D4) = (C2×C4).23Q16central stem extension (φ=1)128C2^2.98(C4.4D4)128,832
C22.99(C4.4D4) = C4⋊C4.Q8central stem extension (φ=1)128C2^2.99(C4.4D4)128,833

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