Extensions 1→N→G→Q→1 with N=He3 and Q=C2×C4

Direct product G=N×Q with N=He3 and Q=C2×C4
dρLabelID
C2×C4×He372C2xC4xHe3216,74

Semidirect products G=N:Q with N=He3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
He31(C2×C4) = C2×He3⋊C4φ: C2×C4/C2C4 ⊆ Out He3363He3:1(C2xC4)216,100
He32(C2×C4) = C6.S32φ: C2×C4/C2C22 ⊆ Out He3366He3:2(C2xC4)216,34
He33(C2×C4) = He3⋊(C2×C4)φ: C2×C4/C2C22 ⊆ Out He3366-He3:3(C2xC4)216,36
He34(C2×C4) = C4×C32⋊C6φ: C2×C4/C4C2 ⊆ Out He3366He3:4(C2xC4)216,50
He35(C2×C4) = C4×He3⋊C2φ: C2×C4/C4C2 ⊆ Out He3363He3:5(C2xC4)216,67
He36(C2×C4) = C2×C32⋊C12φ: C2×C4/C22C2 ⊆ Out He372He3:6(C2xC4)216,59
He37(C2×C4) = C2×He33C4φ: C2×C4/C22C2 ⊆ Out He372He3:7(C2xC4)216,71


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