Extensions 1→N→G→Q→1 with N=He₃⋊₃C₈ and Q=C₂

Direct product G=N×Q with N=He₃⋊₃C₈ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₃C₈		144		C2xHe3:3C8	432,136

Semidirect products G=N:Q with N=He₃⋊₃C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₃C₈⋊₁C₂ = He₃⋊₃D₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	12+	He3:3C8:1C2	432,83
He₃⋊₃C₈⋊₂C₂ = He₃⋊₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	12-	He3:3C8:2C2	432,84
He₃⋊₃C₈⋊₃C₂ = He₃⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	12+	He3:3C8:3C2	432,85
He₃⋊₃C₈⋊₄C₂ = He₃⋊₆D₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	12+	He3:3C8:4C2	432,153
He₃⋊₃C₈⋊₅C₂ = C₃²⋊C₆⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	6	He3:3C8:5C2	432,76
He₃⋊₃C₈⋊₆C₂ = He₃⋊M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	6	He3:3C8:6C2	432,77
He₃⋊₃C₈⋊₇C₂ = C₁₂.₈₉S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	6	He3:3C8:7C2	432,81
He₃⋊₃C₈⋊₈C₂ = He₃⋊₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	6	He3:3C8:8C2	432,82
He₃⋊₃C₈⋊₉C₂ = He₃⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	12-	He3:3C8:9C2	432,152
He₃⋊₃C₈⋊₁₀C₂ = He₃⋊₁₀SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	12+	He3:3C8:10C2	432,161
He₃⋊₃C₈⋊₁₁C₂ = He₃⋊₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	6	He3:3C8:11C2	432,116
He₃⋊₃C₈⋊₁₂C₂ = He₃⋊₇M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	72	6	He3:3C8:12C2	432,137
He₃⋊₃C₈⋊₁₃C₂ = C₈×C₃²⋊C₆	φ: trivial image	72	6	He3:3C8:13C2	432,115

Non-split extensions G=N.Q with N=He₃⋊₃C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₃C₈.₁C₂ = He₃⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	144	12-	He3:3C8.1C2	432,86
He₃⋊₃C₈.₂C₂ = He₃⋊₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₈	144	12-	He3:3C8.2C2	432,160

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