Extensions 1→N→G→Q→1 with N=He₃⋊₆D₄ and Q=C₂

Direct product G=N×Q with N=He₃⋊₆D₄ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₆D₄		72		C2xHe3:6D4	432,377

Semidirect products G=N:Q with N=He₃⋊₆D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₆D₄⋊₁C₂ = C₆².₈D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₆D₄	72	12-	He3:6D4:1C2	432,318
He₃⋊₆D₄⋊₂C₂ = C₆².₉D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₆D₄	72	6	He3:6D4:2C2	432,319
He₃⋊₆D₄⋊₃C₂ = C₆²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₆D₄	36	12+	He3:6D4:3C2	432,323
He₃⋊₆D₄⋊₄C₂ = C₆²⋊₂D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₆D₄	36	6	He3:6D4:4C2	432,324
He₃⋊₆D₄⋊₅C₂ = D₄×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₆D₄	36	12+	He3:6D4:5C2	432,360
He₃⋊₆D₄⋊₆C₂ = C₆².₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₆D₄	72	12-	He3:6D4:6C2	432,361
He₃⋊₆D₄⋊₇C₂ = C₆².₃₆D₆	φ: trivial image	72	6	He3:6D4:7C2	432,351

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁