Extensions 1→N→G→Q→1 with N=He₃⋊₇D₄ and Q=C₂

Direct product G=N×Q with N=He₃⋊₇D₄ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₇D₄		72		C2xHe3:7D4	432,399

Semidirect products G=N:Q with N=He₃⋊₇D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₇D₄⋊₁C₂ = C₆².₈D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₇D₄	72	12-	He3:7D4:1C2	432,318
He₃⋊₇D₄⋊₂C₂ = C₆²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₇D₄	36	12+	He3:7D4:2C2	432,323
He₃⋊₇D₄⋊₃C₂ = D₄×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₇D₄	36	6	He3:7D4:3C2	432,390
He₃⋊₇D₄⋊₄C₂ = C₆².₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₇D₄	72	6	He3:7D4:4C2	432,391
He₃⋊₇D₄⋊₅C₂ = C₆².₄₇D₆	φ: trivial image	72	6	He3:7D4:5C2	432,387

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁