# Extensions 1→N→G→Q→1 with N=C22 and Q=C22×C8

Direct product G=N×Q with N=C22 and Q=C22×C8
dρLabelID
C24×C8128C2^4xC8128,2301

Semidirect products G=N:Q with N=C22 and Q=C22×C8
extensionφ:Q→Aut NdρLabelID
C221(C22×C8) = D4×C2×C8φ: C22×C8/C2×C8C2 ⊆ Aut C2264C2^2:1(C2^2xC8)128,1658
C222(C22×C8) = C22×C22⋊C8φ: C22×C8/C22×C4C2 ⊆ Aut C2264C2^2:2(C2^2xC8)128,1608

Non-split extensions G=N.Q with N=C22 and Q=C22×C8
extensionφ:Q→Aut NdρLabelID
C22.1(C22×C8) = C8×C4○D4φ: C22×C8/C2×C8C2 ⊆ Aut C2264C2^2.1(C2^2xC8)128,1696
C22.2(C22×C8) = C42.691C23φ: C22×C8/C2×C8C2 ⊆ Aut C2232C2^2.2(C2^2xC8)128,1704
C22.3(C22×C8) = C42.697C23φ: C22×C8/C2×C8C2 ⊆ Aut C2264C2^2.3(C2^2xC8)128,1720
C22.4(C22×C8) = C2×D4○C16φ: C22×C8/C2×C8C2 ⊆ Aut C2264C2^2.4(C2^2xC8)128,2138
C22.5(C22×C8) = Q8○M5(2)φ: C22×C8/C2×C8C2 ⊆ Aut C22324C2^2.5(C2^2xC8)128,2139
C22.6(C22×C8) = C2×C23⋊C8φ: C22×C8/C22×C4C2 ⊆ Aut C2232C2^2.6(C2^2xC8)128,188
C22.7(C22×C8) = C2×C22.M4(2)φ: C22×C8/C22×C4C2 ⊆ Aut C2264C2^2.7(C2^2xC8)128,189
C22.8(C22×C8) = C42.371D4φ: C22×C8/C22×C4C2 ⊆ Aut C2232C2^2.8(C2^2xC8)128,190
C22.9(C22×C8) = C23.8M4(2)φ: C22×C8/C22×C4C2 ⊆ Aut C2232C2^2.9(C2^2xC8)128,191
C22.10(C22×C8) = C42.393D4φ: C22×C8/C22×C4C2 ⊆ Aut C2232C2^2.10(C2^2xC8)128,192
C22.11(C22×C8) = C42.394D4φ: C22×C8/C22×C4C2 ⊆ Aut C2264C2^2.11(C2^2xC8)128,193
C22.12(C22×C8) = C2×C23.C8φ: C22×C8/C22×C4C2 ⊆ Aut C2232C2^2.12(C2^2xC8)128,846
C22.13(C22×C8) = M5(2).19C22φ: C22×C8/C22×C4C2 ⊆ Aut C22324C2^2.13(C2^2xC8)128,847
C22.14(C22×C8) = C2×C42.12C4φ: C22×C8/C22×C4C2 ⊆ Aut C2264C2^2.14(C2^2xC8)128,1649
C22.15(C22×C8) = C42.695C23φ: C22×C8/C22×C4C2 ⊆ Aut C2264C2^2.15(C2^2xC8)128,1714
C22.16(C22×C8) = C22×M5(2)φ: C22×C8/C22×C4C2 ⊆ Aut C2264C2^2.16(C2^2xC8)128,2137
C22.17(C22×C8) = C2×C22.7C42central extension (φ=1)128C2^2.17(C2^2xC8)128,459
C22.18(C22×C8) = C424C8central extension (φ=1)128C2^2.18(C2^2xC8)128,476
C22.19(C22×C8) = C4×C22⋊C8central extension (φ=1)64C2^2.19(C2^2xC8)128,480
C22.20(C22×C8) = C8×C22⋊C4central extension (φ=1)64C2^2.20(C2^2xC8)128,483
C22.21(C22×C8) = C4×C4⋊C8central extension (φ=1)128C2^2.21(C2^2xC8)128,498
C22.22(C22×C8) = C8×C4⋊C4central extension (φ=1)128C2^2.22(C2^2xC8)128,501
C22.23(C22×C8) = C2×C165C4central extension (φ=1)128C2^2.23(C2^2xC8)128,838
C22.24(C22×C8) = C4×M5(2)central extension (φ=1)64C2^2.24(C2^2xC8)128,839
C22.25(C22×C8) = C162M5(2)central extension (φ=1)64C2^2.25(C2^2xC8)128,840
C22.26(C22×C8) = C2×C22⋊C16central extension (φ=1)64C2^2.26(C2^2xC8)128,843
C22.27(C22×C8) = C2×C4⋊C16central extension (φ=1)128C2^2.27(C2^2xC8)128,881
C22.28(C22×C8) = C42.13C8central extension (φ=1)64C2^2.28(C2^2xC8)128,894
C22.29(C22×C8) = D4×C16central extension (φ=1)64C2^2.29(C2^2xC8)128,899
C22.30(C22×C8) = Q8×C16central extension (φ=1)128C2^2.30(C2^2xC8)128,914
C22.31(C22×C8) = C22×C4⋊C8central extension (φ=1)128C2^2.31(C2^2xC8)128,1634
C22.32(C22×C8) = Q8×C2×C8central extension (φ=1)128C2^2.32(C2^2xC8)128,1690
C22.33(C22×C8) = C243C8central stem extension (φ=1)32C2^2.33(C2^2xC8)128,511
C22.34(C22×C8) = C42.425D4central stem extension (φ=1)64C2^2.34(C2^2xC8)128,529
C22.35(C22×C8) = C23.32M4(2)central stem extension (φ=1)64C2^2.35(C2^2xC8)128,549
C22.36(C22×C8) = C428C8central stem extension (φ=1)128C2^2.36(C2^2xC8)128,563
C22.37(C22×C8) = C425C8central stem extension (φ=1)128C2^2.37(C2^2xC8)128,571
C22.38(C22×C8) = C429C8central stem extension (φ=1)128C2^2.38(C2^2xC8)128,574
C22.39(C22×C8) = C23.21M4(2)central stem extension (φ=1)64C2^2.39(C2^2xC8)128,582
C22.40(C22×C8) = C23.22M4(2)central stem extension (φ=1)64C2^2.40(C2^2xC8)128,601
C22.41(C22×C8) = C4⋊C43C8central stem extension (φ=1)128C2^2.41(C2^2xC8)128,648
C22.42(C22×C8) = C22⋊C44C8central stem extension (φ=1)64C2^2.42(C2^2xC8)128,655
C22.43(C22×C8) = C42.61Q8central stem extension (φ=1)128C2^2.43(C2^2xC8)128,671
C22.44(C22×C8) = C42.325D4central stem extension (φ=1)64C2^2.44(C2^2xC8)128,686
C22.45(C22×C8) = C42.327D4central stem extension (φ=1)128C2^2.45(C2^2xC8)128,716
C22.46(C22×C8) = C24.5C8central stem extension (φ=1)32C2^2.46(C2^2xC8)128,844
C22.47(C22×C8) = (C2×D4).5C8central stem extension (φ=1)64C2^2.47(C2^2xC8)128,845
C22.48(C22×C8) = C4⋊M5(2)central stem extension (φ=1)64C2^2.48(C2^2xC8)128,882
C22.49(C22×C8) = C4⋊C4.7C8central stem extension (φ=1)64C2^2.49(C2^2xC8)128,883
C22.50(C22×C8) = C42.6C8central stem extension (φ=1)64C2^2.50(C2^2xC8)128,895
C22.51(C22×C8) = C8.12M4(2)central stem extension (φ=1)64C2^2.51(C2^2xC8)128,896
C22.52(C22×C8) = C169D4central stem extension (φ=1)64C2^2.52(C2^2xC8)128,900
C22.53(C22×C8) = C166D4central stem extension (φ=1)64C2^2.53(C2^2xC8)128,901
C22.54(C22×C8) = C164Q8central stem extension (φ=1)128C2^2.54(C2^2xC8)128,915

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