Extensions 1→N→G→Q→1 with N=C22 and Q=C22xC8

Direct product G=NxQ with N=C22 and Q=C22xC8
dρLabelID
C24xC8128C2^4xC8128,2301

Semidirect products G=N:Q with N=C22 and Q=C22xC8
extensionφ:Q→Aut NdρLabelID
C22:1(C22xC8) = D4xC2xC8φ: C22xC8/C2xC8C2 ⊆ Aut C2264C2^2:1(C2^2xC8)128,1658
C22:2(C22xC8) = C22xC22:C8φ: C22xC8/C22xC4C2 ⊆ Aut C2264C2^2:2(C2^2xC8)128,1608

Non-split extensions G=N.Q with N=C22 and Q=C22xC8
extensionφ:Q→Aut NdρLabelID
C22.1(C22xC8) = C8xC4oD4φ: C22xC8/C2xC8C2 ⊆ Aut C2264C2^2.1(C2^2xC8)128,1696
C22.2(C22xC8) = C42.691C23φ: C22xC8/C2xC8C2 ⊆ Aut C2232C2^2.2(C2^2xC8)128,1704
C22.3(C22xC8) = C42.697C23φ: C22xC8/C2xC8C2 ⊆ Aut C2264C2^2.3(C2^2xC8)128,1720
C22.4(C22xC8) = C2xD4oC16φ: C22xC8/C2xC8C2 ⊆ Aut C2264C2^2.4(C2^2xC8)128,2138
C22.5(C22xC8) = Q8oM5(2)φ: C22xC8/C2xC8C2 ⊆ Aut C22324C2^2.5(C2^2xC8)128,2139
C22.6(C22xC8) = C2xC23:C8φ: C22xC8/C22xC4C2 ⊆ Aut C2232C2^2.6(C2^2xC8)128,188
C22.7(C22xC8) = C2xC22.M4(2)φ: C22xC8/C22xC4C2 ⊆ Aut C2264C2^2.7(C2^2xC8)128,189
C22.8(C22xC8) = C42.371D4φ: C22xC8/C22xC4C2 ⊆ Aut C2232C2^2.8(C2^2xC8)128,190
C22.9(C22xC8) = C23.8M4(2)φ: C22xC8/C22xC4C2 ⊆ Aut C2232C2^2.9(C2^2xC8)128,191
C22.10(C22xC8) = C42.393D4φ: C22xC8/C22xC4C2 ⊆ Aut C2232C2^2.10(C2^2xC8)128,192
C22.11(C22xC8) = C42.394D4φ: C22xC8/C22xC4C2 ⊆ Aut C2264C2^2.11(C2^2xC8)128,193
C22.12(C22xC8) = C2xC23.C8φ: C22xC8/C22xC4C2 ⊆ Aut C2232C2^2.12(C2^2xC8)128,846
C22.13(C22xC8) = M5(2).19C22φ: C22xC8/C22xC4C2 ⊆ Aut C22324C2^2.13(C2^2xC8)128,847
C22.14(C22xC8) = C2xC42.12C4φ: C22xC8/C22xC4C2 ⊆ Aut C2264C2^2.14(C2^2xC8)128,1649
C22.15(C22xC8) = C42.695C23φ: C22xC8/C22xC4C2 ⊆ Aut C2264C2^2.15(C2^2xC8)128,1714
C22.16(C22xC8) = C22xM5(2)φ: C22xC8/C22xC4C2 ⊆ Aut C2264C2^2.16(C2^2xC8)128,2137
C22.17(C22xC8) = C2xC22.7C42central extension (φ=1)128C2^2.17(C2^2xC8)128,459
C22.18(C22xC8) = C42:4C8central extension (φ=1)128C2^2.18(C2^2xC8)128,476
C22.19(C22xC8) = C4xC22:C8central extension (φ=1)64C2^2.19(C2^2xC8)128,480
C22.20(C22xC8) = C8xC22:C4central extension (φ=1)64C2^2.20(C2^2xC8)128,483
C22.21(C22xC8) = C4xC4:C8central extension (φ=1)128C2^2.21(C2^2xC8)128,498
C22.22(C22xC8) = C8xC4:C4central extension (φ=1)128C2^2.22(C2^2xC8)128,501
C22.23(C22xC8) = C2xC16:5C4central extension (φ=1)128C2^2.23(C2^2xC8)128,838
C22.24(C22xC8) = C4xM5(2)central extension (φ=1)64C2^2.24(C2^2xC8)128,839
C22.25(C22xC8) = C16o2M5(2)central extension (φ=1)64C2^2.25(C2^2xC8)128,840
C22.26(C22xC8) = C2xC22:C16central extension (φ=1)64C2^2.26(C2^2xC8)128,843
C22.27(C22xC8) = C2xC4:C16central extension (φ=1)128C2^2.27(C2^2xC8)128,881
C22.28(C22xC8) = C42.13C8central extension (φ=1)64C2^2.28(C2^2xC8)128,894
C22.29(C22xC8) = D4xC16central extension (φ=1)64C2^2.29(C2^2xC8)128,899
C22.30(C22xC8) = Q8xC16central extension (φ=1)128C2^2.30(C2^2xC8)128,914
C22.31(C22xC8) = C22xC4:C8central extension (φ=1)128C2^2.31(C2^2xC8)128,1634
C22.32(C22xC8) = Q8xC2xC8central extension (φ=1)128C2^2.32(C2^2xC8)128,1690
C22.33(C22xC8) = C24:3C8central stem extension (φ=1)32C2^2.33(C2^2xC8)128,511
C22.34(C22xC8) = C42.425D4central stem extension (φ=1)64C2^2.34(C2^2xC8)128,529
C22.35(C22xC8) = C23.32M4(2)central stem extension (φ=1)64C2^2.35(C2^2xC8)128,549
C22.36(C22xC8) = C42:8C8central stem extension (φ=1)128C2^2.36(C2^2xC8)128,563
C22.37(C22xC8) = C42:5C8central stem extension (φ=1)128C2^2.37(C2^2xC8)128,571
C22.38(C22xC8) = C42:9C8central stem extension (φ=1)128C2^2.38(C2^2xC8)128,574
C22.39(C22xC8) = C23.21M4(2)central stem extension (φ=1)64C2^2.39(C2^2xC8)128,582
C22.40(C22xC8) = C23.22M4(2)central stem extension (φ=1)64C2^2.40(C2^2xC8)128,601
C22.41(C22xC8) = C4:C4:3C8central stem extension (φ=1)128C2^2.41(C2^2xC8)128,648
C22.42(C22xC8) = C22:C4:4C8central stem extension (φ=1)64C2^2.42(C2^2xC8)128,655
C22.43(C22xC8) = C42.61Q8central stem extension (φ=1)128C2^2.43(C2^2xC8)128,671
C22.44(C22xC8) = C42.325D4central stem extension (φ=1)64C2^2.44(C2^2xC8)128,686
C22.45(C22xC8) = C42.327D4central stem extension (φ=1)128C2^2.45(C2^2xC8)128,716
C22.46(C22xC8) = C24.5C8central stem extension (φ=1)32C2^2.46(C2^2xC8)128,844
C22.47(C22xC8) = (C2xD4).5C8central stem extension (φ=1)64C2^2.47(C2^2xC8)128,845
C22.48(C22xC8) = C4:M5(2)central stem extension (φ=1)64C2^2.48(C2^2xC8)128,882
C22.49(C22xC8) = C4:C4.7C8central stem extension (φ=1)64C2^2.49(C2^2xC8)128,883
C22.50(C22xC8) = C42.6C8central stem extension (φ=1)64C2^2.50(C2^2xC8)128,895
C22.51(C22xC8) = C8.12M4(2)central stem extension (φ=1)64C2^2.51(C2^2xC8)128,896
C22.52(C22xC8) = C16:9D4central stem extension (φ=1)64C2^2.52(C2^2xC8)128,900
C22.53(C22xC8) = C16:6D4central stem extension (φ=1)64C2^2.53(C2^2xC8)128,901
C22.54(C22xC8) = C16:4Q8central stem extension (φ=1)128C2^2.54(C2^2xC8)128,915

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