Extensions 1→N→G→Q→1 with N=He₃⋊₃Q₈ and Q=C₂

Direct product G=N×Q with N=He₃⋊₃Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₃Q₈		144		C2xHe3:3Q8	432,348

Semidirect products G=N:Q with N=He₃⋊₃Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₃Q₈⋊₁C₂ = He₃⋊₃SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	6	He3:3Q8:1C2	432,78
He₃⋊₃Q₈⋊₂C₂ = He₃⋊₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	12-	He3:3Q8:2C2	432,84
He₃⋊₃Q₈⋊₃C₂ = He₃⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	12-	He3:3Q8:3C2	432,152
He₃⋊₃Q₈⋊₄C₂ = C₃⋊S₃⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	12-	He3:3Q8:4C2	432,294
He₃⋊₃Q₈⋊₅C₂ = C₁₂.₈₄S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	6	He3:3Q8:5C2	432,296
He₃⋊₃Q₈⋊₆C₂ = C₁₂.₈₅S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	6-	He3:3Q8:6C2	432,298
He₃⋊₃Q₈⋊₇C₂ = C₁₂.S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	12-	He3:3Q8:7C2	432,299
He₃⋊₃Q₈⋊₈C₂ = C₆².₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	12-	He3:3Q8:8C2	432,361
He₃⋊₃Q₈⋊₉C₂ = Q₈×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	12-	He3:3Q8:9C2	432,368
He₃⋊₃Q₈⋊₁₀C₂ = He₃⋊₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	72	6	He3:3Q8:10C2	432,117
He₃⋊₃Q₈⋊₁₁C₂ = C₆².₃₆D₆	φ: trivial image	72	6	He3:3Q8:11C2	432,351

Non-split extensions G=N.Q with N=He₃⋊₃Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₃Q₈.₁C₂ = He₃⋊₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	144	6-	He3:3Q8.1C2	432,80
He₃⋊₃Q₈.₂C₂ = He₃⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	144	12-	He3:3Q8.2C2	432,86
He₃⋊₃Q₈.₃C₂ = He₃⋊₆Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	144	12-	He3:3Q8.3C2	432,160
He₃⋊₃Q₈.₄C₂ = He₃⋊₄Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃Q₈	144	6-	He3:3Q8.4C2	432,114

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