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Extensions 1→N→G→Q→1 with N=C4 and Q=C22⋊C8

Direct product G=N×Q with N=C4 and Q=C22⋊C8
dρLabelID
C4×C22⋊C864C4xC2^2:C8128,480

Semidirect products G=N:Q with N=C4 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C4⋊1(C22⋊C8) = C42.325D4φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C464C4:1(C2^2:C8)128,686
C4⋊2(C22⋊C8) = C42.425D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C464C4:2(C2^2:C8)128,529

Non-split extensions G=N.Q with N=C4 and Q=C22⋊C8
extensionφ:Q→Aut NdρLabelID
C4.1(C22⋊C8) = C4.16D16φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C464C4.1(C2^2:C8)128,63
C4.2(C22⋊C8) = Q16⋊1C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C4128C4.2(C2^2:C8)128,64
C4.3(C22⋊C8) = D8⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C464C4.3(C2^2:C8)128,65
C4.4(C22⋊C8) = Q16⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C4128C4.4(C2^2:C8)128,66
C4.5(C22⋊C8) = C8≀C2φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C4162C4.5(C2^2:C8)128,67
C4.6(C22⋊C8) = C8.32D8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C4164C4.6(C2^2:C8)128,68
C4.7(C22⋊C8) = C42.393D4φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C432C4.7(C2^2:C8)128,192
C4.8(C22⋊C8) = C42.394D4φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C464C4.8(C2^2:C8)128,193
C4.9(C22⋊C8) = C2×D4⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C464C4.9(C2^2:C8)128,206
C4.10(C22⋊C8) = C2×Q8⋊C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C4128C4.10(C2^2:C8)128,207
C4.11(C22⋊C8) = C42.398D4φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C432C4.11(C2^2:C8)128,210
C4.12(C22⋊C8) = C42.399D4φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C464C4.12(C2^2:C8)128,211
C4.13(C22⋊C8) = C42.327D4φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C4128C4.13(C2^2:C8)128,716
C4.14(C22⋊C8) = (C2×D4).5C8φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C464C4.14(C2^2:C8)128,845
C4.15(C22⋊C8) = M5(2).19C22φ: C22⋊C8/C2×C8 → C2 ⊆ Aut C4324C4.15(C2^2:C8)128,847
C4.16(C22⋊C8) = C42.20D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C464C4.16(C2^2:C8)128,7
C4.17(C22⋊C8) = C42.385D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C4128C4.17(C2^2:C8)128,9
C4.18(C22⋊C8) = C42.3Q8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C464C4.18(C2^2:C8)128,15
C4.19(C22⋊C8) = C42.2C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C432C4.19(C2^2:C8)128,107
C4.20(C22⋊C8) = C42.7C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C432C4.20(C2^2:C8)128,108
C4.21(C22⋊C8) = M4(2).C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C4324C4.21(C2^2:C8)128,110
C4.22(C22⋊C8) = C42.371D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C432C4.22(C2^2:C8)128,190
C4.23(C22⋊C8) = C42.397D4φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C464C4.23(C2^2:C8)128,209
C4.24(C22⋊C8) = C24.5C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C432C4.24(C2^2:C8)128,844
C4.25(C22⋊C8) = C2×C23.C8φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C432C4.25(C2^2:C8)128,846
C4.26(C22⋊C8) = M5(2)⋊12C22φ: C22⋊C8/C22×C4 → C2 ⊆ Aut C4324C4.26(C2^2:C8)128,849
C4.27(C22⋊C8) = C2.C82central extension (φ=1)128C4.27(C2^2:C8)128,5
C4.28(C22⋊C8) = M4(2)⋊C8central extension (φ=1)64C4.28(C2^2:C8)128,10
C4.29(C22⋊C8) = C42.2Q8central extension (φ=1)64C4.29(C2^2:C8)128,13
C4.30(C22⋊C8) = C22.7M5(2)central extension (φ=1)128C4.30(C2^2:C8)128,106
C4.31(C22⋊C8) = M5(2)⋊C4central extension (φ=1)64C4.31(C2^2:C8)128,109
C4.32(C22⋊C8) = M5(2)⋊7C4central extension (φ=1)64C4.32(C2^2:C8)128,111
C4.33(C22⋊C8) = C22⋊C32central extension (φ=1)64C4.33(C2^2:C8)128,131
C4.34(C22⋊C8) = C23.C16central extension (φ=1)324C4.34(C2^2:C8)128,132
C4.35(C22⋊C8) = D4.C16central extension (φ=1)642C4.35(C2^2:C8)128,133
C4.36(C22⋊C8) = C42.455D4central extension (φ=1)64C4.36(C2^2:C8)128,208
C4.37(C22⋊C8) = C2×C22⋊C16central extension (φ=1)64C4.37(C2^2:C8)128,843
C4.38(C22⋊C8) = C2×D4.C8central extension (φ=1)64C4.38(C2^2:C8)128,848

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