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

Direct product G=NxQ with N=He₃:₃Q₈ and Q=C₂

		d	ρ	Label	ID
C₂xHe₃:₃Q₈		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 = Q₈xC₃²: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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