Extensions 1→N→G→Q→1 with N=He₃⋊₂C₈ and Q=C₂

Direct product G=N×Q with N=He₃⋊₂C₈ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₂C₈		144		C2xHe3:2C8	432,277

Semidirect products G=N:Q with N=He₃⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₂C₈⋊₁C₂ = He₃⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂C₈	72	6+	He3:2C8:1C2	432,235
He₃⋊₂C₈⋊₂C₂ = He₃⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂C₈	72	6	He3:2C8:2C2	432,234
He₃⋊₂C₈⋊₃C₂ = He₃⋊₁M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂C₈	72	6	He3:2C8:3C2	432,274
He₃⋊₂C₈⋊₄C₂ = He₃⋊₄M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂C₈	72	6	He3:2C8:4C2	432,278
He₃⋊₂C₈⋊₅C₂ = He₃⋊₂(C₂×C₈)	φ: trivial image	72	3	He3:2C8:5C2	432,273

Non-split extensions G=N.Q with N=He₃⋊₂C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₂C₈.₁C₂ = He₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂C₈	144	6-	He3:2C8.1C2	432,236
He₃⋊₂C₈.₂C₂ = He₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂C₈	144	6	He3:2C8.2C2	432,233

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁