Extensions 1→N→G→Q→1 with N=He₃ and Q=C₂×C₈

Direct product G=N×Q with N=He₃ and Q=C₂×C₈

		d	ρ	Label	ID
C₂×C₈×He₃		144		C2xC8xHe3	432,210

Semidirect products G=N:Q with N=He₃ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊(C₂×C₈) = C₂×He₃⋊C₈	φ: C₂×C₈/C₂ → C₈ ⊆ Out He₃	54	6+	He3:(C2xC8)	432,529
He₃⋊₂(C₂×C₈) = He₃⋊₂(C₂×C₈)	φ: C₂×C₈/C₄ → C₄ ⊆ Out He₃	72	3	He3:2(C2xC8)	432,273
He₃⋊₃(C₂×C₈) = C₃²⋊C₆⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Out He₃	72	6	He3:3(C2xC8)	432,76
He₃⋊₄(C₂×C₈) = C₁₂.₈₉S₃²	φ: C₂×C₈/C₄ → C₂² ⊆ Out He₃	72	6	He3:4(C2xC8)	432,81
He₃⋊₅(C₂×C₈) = C₂×He₃⋊₂C₈	φ: C₂×C₈/C₂² → C₄ ⊆ Out He₃	144		He3:5(C2xC8)	432,277
He₃⋊₆(C₂×C₈) = C₈×C₃²⋊C₆	φ: C₂×C₈/C₈ → C₂ ⊆ Out He₃	72	6	He3:6(C2xC8)	432,115
He₃⋊₇(C₂×C₈) = C₈×He₃⋊C₂	φ: C₂×C₈/C₈ → C₂ ⊆ Out He₃	72	3	He3:7(C2xC8)	432,173
He₃⋊₈(C₂×C₈) = C₂×He₃⋊₃C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:8(C2xC8)	432,136
He₃⋊₉(C₂×C₈) = C₂×He₃⋊₄C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out He₃	144		He3:9(C2xC8)	432,184

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