Extensions 1→N→G→Q→1 with N=He3 and Q=C22×C4

Direct product G=N×Q with N=He3 and Q=C22×C4
dρLabelID
C22×C4×He3144C2^2xC4xHe3432,401

Semidirect products G=N:Q with N=He3 and Q=C22×C4
extensionφ:Q→Out NdρLabelID
He31(C22×C4) = C4×C32⋊D6φ: C22×C4/C4C22 ⊆ Out He3366He3:1(C2^2xC4)432,300
He32(C22×C4) = C22×He3⋊C4φ: C22×C4/C22C4 ⊆ Out He372He3:2(C2^2xC4)432,543
He33(C22×C4) = C2×C6.S32φ: C22×C4/C22C22 ⊆ Out He372He3:3(C2^2xC4)432,317
He34(C22×C4) = C2×He3⋊(C2×C4)φ: C22×C4/C22C22 ⊆ Out He372He3:4(C2^2xC4)432,321
He35(C22×C4) = C2×C4×C32⋊C6φ: C22×C4/C2×C4C2 ⊆ Out He372He3:5(C2^2xC4)432,349
He36(C22×C4) = C2×C4×He3⋊C2φ: C22×C4/C2×C4C2 ⊆ Out He372He3:6(C2^2xC4)432,385
He37(C22×C4) = C22×C32⋊C12φ: C22×C4/C23C2 ⊆ Out He3144He3:7(C2^2xC4)432,376
He38(C22×C4) = C22×He33C4φ: C22×C4/C23C2 ⊆ Out He3144He3:8(C2^2xC4)432,398


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