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

Direct product G=N×Q with N=C22 and Q=C4⋊C8
dρLabelID
C22×C4⋊C8128C2^2xC4:C8128,1634

Semidirect products G=N:Q with N=C22 and Q=C4⋊C8
extensionφ:Q→Aut NdρLabelID
C22⋊1(C4⋊C8) = C42.425D4φ: C4⋊C8/C42 → C2 ⊆ Aut C2264C2^2:1(C4:C8)128,529
C22⋊2(C4⋊C8) = C23.21M4(2)φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C2264C2^2:2(C4:C8)128,582

Non-split extensions G=N.Q with N=C22 and Q=C4⋊C8
extensionφ:Q→Aut NdρLabelID
C22.1(C4⋊C8) = C42.20D4φ: C4⋊C8/C42 → C2 ⊆ Aut C2264C2^2.1(C4:C8)128,7
C22.2(C4⋊C8) = C23.19C42φ: C4⋊C8/C42 → C2 ⊆ Aut C2264C2^2.2(C4:C8)128,12
C22.3(C4⋊C8) = C42.2C8φ: C4⋊C8/C42 → C2 ⊆ Aut C2232C2^2.3(C4:C8)128,107
C22.4(C4⋊C8) = M5(2)⋊C4φ: C4⋊C8/C42 → C2 ⊆ Aut C2264C2^2.4(C4:C8)128,109
C22.5(C4⋊C8) = C42.42Q8φ: C4⋊C8/C42 → C2 ⊆ Aut C2264C2^2.5(C4:C8)128,296
C22.6(C4⋊C8) = C4⋊M5(2)φ: C4⋊C8/C42 → C2 ⊆ Aut C2264C2^2.6(C4:C8)128,882
C22.7(C4⋊C8) = C2×C8.C8φ: C4⋊C8/C42 → C2 ⊆ Aut C2232C2^2.7(C4:C8)128,884
C22.8(C4⋊C8) = M4(2)⋊C8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C2264C2^2.8(C4:C8)128,10
C22.9(C4⋊C8) = C23.21C42φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C2232C2^2.9(C4:C8)128,14
C22.10(C4⋊C8) = M4(2).C8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C22324C2^2.10(C4:C8)128,110
C22.11(C4⋊C8) = M5(2)⋊7C4φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C2264C2^2.11(C4:C8)128,111
C22.12(C4⋊C8) = M4(2)⋊1C8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C2264C2^2.12(C4:C8)128,297
C22.13(C4⋊C8) = C4⋊C4.7C8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C2264C2^2.13(C4:C8)128,883
C22.14(C4⋊C8) = M4(2).1C8φ: C4⋊C8/C2×C8 → C2 ⊆ Aut C22324C2^2.14(C4:C8)128,885
C22.15(C4⋊C8) = C42.385D4central extension (φ=1)128C2^2.15(C4:C8)128,9
C22.16(C4⋊C8) = C8⋊2C16central extension (φ=1)128C2^2.16(C4:C8)128,99
C22.17(C4⋊C8) = C8.36D8central extension (φ=1)128C2^2.17(C4:C8)128,102
C22.18(C4⋊C8) = C22.7M5(2)central extension (φ=1)128C2^2.18(C4:C8)128,106
C22.19(C4⋊C8) = C42.7C8central extension (φ=1)32C2^2.19(C4:C8)128,108
C22.20(C4⋊C8) = C2×C8⋊2C8central extension (φ=1)128C2^2.20(C4:C8)128,294
C22.21(C4⋊C8) = C2×C8⋊1C8central extension (φ=1)128C2^2.21(C4:C8)128,295
C22.22(C4⋊C8) = C2×C22.7C42central extension (φ=1)128C2^2.22(C4:C8)128,459
C22.23(C4⋊C8) = C2×C4⋊C16central extension (φ=1)128C2^2.23(C4:C8)128,881

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