Extensions 1→N→G→Q→1 with N=He₃⋊₂Q₈ and Q=C₂

Direct product G=N×Q with N=He₃⋊₂Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₂Q₈		144		C2xHe3:2Q8	432,316

Semidirect products G=N:Q with N=He₃⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₂Q₈⋊₁C₂ = He₃⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂Q₈	72	6	He3:2Q8:1C2	432,234
He₃⋊₂Q₈⋊₂C₂ = C₃⋊S₃⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂Q₈	72	12-	He3:2Q8:2C2	432,294
He₃⋊₂Q₈⋊₃C₂ = C₁₂.₈₅S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂Q₈	72	6-	He3:2Q8:3C2	432,298
He₃⋊₂Q₈⋊₄C₂ = C₆².₈D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂Q₈	72	12-	He3:2Q8:4C2	432,318
He₃⋊₂Q₈⋊₅C₂ = C₆².₉D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂Q₈	72	6	He3:2Q8:5C2	432,319
He₃⋊₂Q₈⋊₆C₂ = C₁₂.₉₁S₃²	φ: trivial image	72	6	He3:2Q8:6C2	432,297

Non-split extensions G=N.Q with N=He₃⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₂Q₈.C₂ = He₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂Q₈	144	6-	He3:2Q8.C2	432,236

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁