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Extensions 1→N→G→Q→1 with N=C22 and Q=C4.Q8

Direct product G=N×Q with N=C22 and Q=C4.Q8
dρLabelID
C22×C4.Q8128C2^2xC4.Q8128,1639

Semidirect products G=N:Q with N=C22 and Q=C4.Q8
extensionφ:Q→Aut NdρLabelID
C22⋊1(C4.Q8) = C24.159D4φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C2264C2^2:1(C4.Q8)128,585
C22⋊2(C4.Q8) = C24.133D4φ: C4.Q8/C2×C8 → C2 ⊆ Aut C2264C2^2:2(C4.Q8)128,539

Non-split extensions G=N.Q with N=C22 and Q=C4.Q8
extensionφ:Q→Aut NdρLabelID
C22.1(C4.Q8) = C23.30D8φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C2232C2^2.1(C4.Q8)128,26
C22.2(C4.Q8) = C42.389D4φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C2264C2^2.2(C4.Q8)128,33
C22.3(C4.Q8) = C8.2C42φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C2264C2^2.3(C4.Q8)128,119
C22.4(C4.Q8) = C8.4C42φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C22324C2^2.4(C4.Q8)128,121
C22.5(C4.Q8) = C42.90D4φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C2264C2^2.5(C4.Q8)128,302
C22.6(C4.Q8) = M5(2)⋊3C4φ: C4.Q8/C4⋊C4 → C2 ⊆ Aut C22324C2^2.6(C4.Q8)128,887
C22.7(C4.Q8) = C23.8D8φ: C4.Q8/C2×C8 → C2 ⊆ Aut C2232C2^2.7(C4.Q8)128,21
C22.8(C4.Q8) = C42.27D4φ: C4.Q8/C2×C8 → C2 ⊆ Aut C2264C2^2.8(C4.Q8)128,24
C22.9(C4.Q8) = C8.9C42φ: C4.Q8/C2×C8 → C2 ⊆ Aut C2264C2^2.9(C4.Q8)128,114
C22.10(C4.Q8) = C8⋊8M4(2)φ: C4.Q8/C2×C8 → C2 ⊆ Aut C2264C2^2.10(C4.Q8)128,298
C22.11(C4.Q8) = C42.385D4central extension (φ=1)128C2^2.11(C4.Q8)128,9
C22.12(C4.Q8) = C16⋊1C8central extension (φ=1)128C2^2.12(C4.Q8)128,100
C22.13(C4.Q8) = C8.11C42central extension (φ=1)32C2^2.13(C4.Q8)128,115
C22.14(C4.Q8) = C2×C8⋊2C8central extension (φ=1)128C2^2.14(C4.Q8)128,294
C22.15(C4.Q8) = C2×C22.4Q16central extension (φ=1)128C2^2.15(C4.Q8)128,466
C22.16(C4.Q8) = C2×C8.Q8central extension (φ=1)32C2^2.16(C4.Q8)128,886

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