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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C32×C6

Direct product G=N×Q with N=C2×C4 and Q=C32×C6
dρLabelID
C62×C12432C6^2xC12432,730

Semidirect products G=N:Q with N=C2×C4 and Q=C32×C6
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C32×C6) = C22⋊C4×C33φ: C32×C6/C33 → C2 ⊆ Aut C2×C4216(C2xC4):1(C3^2xC6)432,513
(C2×C4)⋊2(C32×C6) = D4×C32×C6φ: C32×C6/C33 → C2 ⊆ Aut C2×C4216(C2xC4):2(C3^2xC6)432,731
(C2×C4)⋊3(C32×C6) = C4○D4×C33φ: C32×C6/C33 → C2 ⊆ Aut C2×C4216(C2xC4):3(C3^2xC6)432,733

Non-split extensions G=N.Q with N=C2×C4 and Q=C32×C6
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C32×C6) = C4⋊C4×C33φ: C32×C6/C33 → C2 ⊆ Aut C2×C4432(C2xC4).1(C3^2xC6)432,514
(C2×C4).2(C32×C6) = M4(2)×C33φ: C32×C6/C33 → C2 ⊆ Aut C2×C4216(C2xC4).2(C3^2xC6)432,516
(C2×C4).3(C32×C6) = Q8×C32×C6φ: C32×C6/C33 → C2 ⊆ Aut C2×C4432(C2xC4).3(C3^2xC6)432,732

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