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

Direct product G=N×Q with N=C22 and Q=C8.C4
dρLabelID
C22×C8.C464C2^2xC8.C4128,1646

Semidirect products G=N:Q with N=C22 and Q=C8.C4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C8.C4) = C24.19Q8φ: C8.C4/C2×C8 → C2 ⊆ Aut C2232C2^2:1(C8.C4)128,542
C22⋊2(C8.C4) = C24.10Q8φ: C8.C4/M4(2) → C2 ⊆ Aut C2232C2^2:2(C8.C4)128,587

Non-split extensions G=N.Q with N=C22 and Q=C8.C4
extensionφ:Q→Aut NdρLabelID
C22.1(C8.C4) = C42.25D4φ: C8.C4/C2×C8 → C2 ⊆ Aut C2264C2^2.1(C8.C4)128,22
C22.2(C8.C4) = C24.2Q8φ: C8.C4/C2×C8 → C2 ⊆ Aut C2232C2^2.2(C8.C4)128,25
C22.3(C8.C4) = C16.C8φ: C8.C4/C2×C8 → C2 ⊆ Aut C22324C2^2.3(C8.C4)128,101
C22.4(C8.C4) = C16.3C8φ: C8.C4/C2×C8 → C2 ⊆ Aut C22322C2^2.4(C8.C4)128,105
C22.5(C8.C4) = C42.43Q8φ: C8.C4/C2×C8 → C2 ⊆ Aut C2264C2^2.5(C8.C4)128,300
C22.6(C8.C4) = C24.3Q8φ: C8.C4/M4(2) → C2 ⊆ Aut C2232C2^2.6(C8.C4)128,30
C22.7(C8.C4) = C42.370D4φ: C8.C4/M4(2) → C2 ⊆ Aut C2264C2^2.7(C8.C4)128,34
C22.8(C8.C4) = C42.92D4φ: C8.C4/M4(2) → C2 ⊆ Aut C2264C2^2.8(C8.C4)128,305
C22.9(C8.C4) = C42.385D4central extension (φ=1)128C2^2.9(C8.C4)128,9
C22.10(C8.C4) = C2×C8⋊2C8central extension (φ=1)128C2^2.10(C8.C4)128,294
C22.11(C8.C4) = C2×C8⋊1C8central extension (φ=1)128C2^2.11(C8.C4)128,295
C22.12(C8.C4) = C2×C4.C42central extension (φ=1)64C2^2.12(C8.C4)128,469

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