Extensions 1→N→G→Q→1 with N=He₃ and Q=C₂×Q₈

Direct product G=N×Q with N=He₃ and Q=C₂×Q₈

		d	ρ	Label	ID
C₂×Q₈×He₃		144		C2xQ8xHe3	432,407

Semidirect products G=N:Q with N=He₃ and Q=C₂×Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊(C₂×Q₈) = C₂×SU₃(𝔽₂)	φ: C₂×Q₈/C₂ → Q₈ ⊆ Out He₃	54	3	He3:(C2xQ8)	432,531
He₃⋊₂(C₂×Q₈) = C₃⋊S₃⋊Dic₆	φ: C₂×Q₈/C₄ → C₂² ⊆ Out He₃	72	12-	He3:2(C2xQ8)	432,294
He₃⋊₃(C₂×Q₈) = C₁₂.₈₅S₃²	φ: C₂×Q₈/C₄ → C₂² ⊆ Out He₃	72	6-	He3:3(C2xQ8)	432,298
He₃⋊₄(C₂×Q₈) = C₂×He₃⋊₂Q₈	φ: C₂×Q₈/C₂² → C₂² ⊆ Out He₃	144		He3:4(C2xQ8)	432,316
He₃⋊₅(C₂×Q₈) = C₂×He₃⋊₃Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:5(C2xQ8)	432,348
He₃⋊₆(C₂×Q₈) = C₂×He₃⋊₄Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:6(C2xQ8)	432,384
He₃⋊₇(C₂×Q₈) = Q₈×C₃²⋊C₆	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out He₃	72	12-	He3:7(C2xQ8)	432,368
He₃⋊₈(C₂×Q₈) = Q₈×He₃⋊C₂	φ: C₂×Q₈/Q₈ → C₂ ⊆ Out He₃	72	6	He3:8(C2xQ8)	432,394

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