# 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
C22×C22⋊C864C2^2xC2^2:C8128,1608

Semidirect products G=N:Q with N=C22 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C221(C22⋊C8) = C23.22M4(2)φ: C22⋊C8/C2×C8C2 ⊆ Aut C2264C2^2:1(C2^2:C8)128,601
C222(C22⋊C8) = C243C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2:2(C2^2:C8)128,511

Non-split extensions G=N.Q with N=C22 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C22.1(C22⋊C8) = C23.8M4(2)φ: C22⋊C8/C2×C8C2 ⊆ Aut C2232C2^2.1(C2^2:C8)128,191
C22.2(C22⋊C8) = C42.455D4φ: C22⋊C8/C2×C8C2 ⊆ Aut C2264C2^2.2(C2^2:C8)128,208
C22.3(C22⋊C8) = C42.397D4φ: C22⋊C8/C2×C8C2 ⊆ Aut C2264C2^2.3(C2^2:C8)128,209
C22.4(C22⋊C8) = (C2×D4).5C8φ: C22⋊C8/C2×C8C2 ⊆ Aut C2264C2^2.4(C2^2:C8)128,845
C22.5(C22⋊C8) = M5(2).19C22φ: C22⋊C8/C2×C8C2 ⊆ Aut C22324C2^2.5(C2^2:C8)128,847
C22.6(C22⋊C8) = C2×D4.C8φ: C22⋊C8/C2×C8C2 ⊆ Aut C2264C2^2.6(C2^2:C8)128,848
C22.7(C22⋊C8) = M5(2)⋊12C22φ: C22⋊C8/C2×C8C2 ⊆ Aut C22324C2^2.7(C2^2:C8)128,849
C22.8(C22⋊C8) = C421C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.8(C2^2:C8)128,6
C22.9(C22⋊C8) = C426C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.9(C2^2:C8)128,8
C22.10(C22⋊C8) = C23.21C42φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.10(C2^2:C8)128,14
C22.11(C22⋊C8) = C24⋊C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2216C2^2.11(C2^2:C8)128,48
C22.12(C22⋊C8) = C23.15M4(2)φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.12(C2^2:C8)128,49
C22.13(C22⋊C8) = (C2×D4)⋊C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.13(C2^2:C8)128,50
C22.14(C22⋊C8) = (C2×C42).C4φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.14(C2^2:C8)128,51
C22.15(C22⋊C8) = C24.C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C22164C2^2.15(C2^2:C8)128,52
C22.16(C22⋊C8) = C23.1M4(2)φ: C22⋊C8/C22×C4C2 ⊆ Aut C22324C2^2.16(C2^2:C8)128,53
C22.17(C22⋊C8) = C42⋊C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.17(C2^2:C8)128,56
C22.18(C22⋊C8) = C423C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.18(C2^2:C8)128,57
C22.19(C22⋊C8) = C23.2M4(2)φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.19(C2^2:C8)128,58
C22.20(C22⋊C8) = C42.C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C22164C2^2.20(C2^2:C8)128,59
C22.21(C22⋊C8) = C22⋊C4.C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C22324C2^2.21(C2^2:C8)128,60
C22.22(C22⋊C8) = C42.2C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.22(C2^2:C8)128,107
C22.23(C22⋊C8) = C42.7C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.23(C2^2:C8)128,108
C22.24(C22⋊C8) = M4(2).C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C22324C2^2.24(C2^2:C8)128,110
C22.25(C22⋊C8) = C2×C23⋊C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.25(C2^2:C8)128,188
C22.26(C22⋊C8) = C2×C22.M4(2)φ: C22⋊C8/C22×C4C2 ⊆ Aut C2264C2^2.26(C2^2:C8)128,189
C22.27(C22⋊C8) = C42.398D4φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.27(C2^2:C8)128,210
C22.28(C22⋊C8) = C42.399D4φ: C22⋊C8/C22×C4C2 ⊆ Aut C2264C2^2.28(C2^2:C8)128,211
C22.29(C22⋊C8) = C23.32M4(2)φ: C22⋊C8/C22×C4C2 ⊆ Aut C2264C2^2.29(C2^2:C8)128,549
C22.30(C22⋊C8) = C24.5C8φ: C22⋊C8/C22×C4C2 ⊆ Aut C2232C2^2.30(C2^2:C8)128,844
C22.31(C22⋊C8) = C42.46Q8central extension (φ=1)128C2^2.31(C2^2:C8)128,11
C22.32(C22⋊C8) = C23.19C42central extension (φ=1)64C2^2.32(C2^2:C8)128,12
C22.33(C22⋊C8) = C23⋊C16central extension (φ=1)32C2^2.33(C2^2:C8)128,46
C22.34(C22⋊C8) = C22.M5(2)central extension (φ=1)64C2^2.34(C2^2:C8)128,54
C22.35(C22⋊C8) = D4⋊C16central extension (φ=1)64C2^2.35(C2^2:C8)128,61
C22.36(C22⋊C8) = Q8⋊C16central extension (φ=1)128C2^2.36(C2^2:C8)128,69
C22.37(C22⋊C8) = C22.7M5(2)central extension (φ=1)128C2^2.37(C2^2:C8)128,106
C22.38(C22⋊C8) = M5(2)⋊C4central extension (φ=1)64C2^2.38(C2^2:C8)128,109
C22.39(C22⋊C8) = M5(2)⋊7C4central extension (φ=1)64C2^2.39(C2^2:C8)128,111
C22.40(C22⋊C8) = C2×D4⋊C8central extension (φ=1)64C2^2.40(C2^2:C8)128,206
C22.41(C22⋊C8) = C2×Q8⋊C8central extension (φ=1)128C2^2.41(C2^2:C8)128,207
C22.42(C22⋊C8) = C2×C22.7C42central extension (φ=1)128C2^2.42(C2^2:C8)128,459
C22.43(C22⋊C8) = C2×C22⋊C16central extension (φ=1)64C2^2.43(C2^2:C8)128,843
C22.44(C22⋊C8) = C2×C23.C8central extension (φ=1)32C2^2.44(C2^2:C8)128,846
C22.45(C22⋊C8) = (C2×C4).98D8central stem extension (φ=1)64C2^2.45(C2^2:C8)128,2
C22.46(C22⋊C8) = C4⋊C4⋊C8central stem extension (φ=1)128C2^2.46(C2^2:C8)128,3
C22.47(C22⋊C8) = (C2×Q8)⋊C8central stem extension (φ=1)128C2^2.47(C2^2:C8)128,4
C22.48(C22⋊C8) = C23.M4(2)central stem extension (φ=1)64C2^2.48(C2^2:C8)128,47
C22.49(C22⋊C8) = C23.7M4(2)central stem extension (φ=1)64C2^2.49(C2^2:C8)128,55
C22.50(C22⋊C8) = C8.31D8central stem extension (φ=1)64C2^2.50(C2^2:C8)128,62
C22.51(C22⋊C8) = C8.17Q16central stem extension (φ=1)128C2^2.51(C2^2:C8)128,70

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