Extensions 1→N→G→Q→1 with N=C₂×He₃⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₂×He₃⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂²×He₃⋊C₄		72		C2^2xHe3:C4	432,543

Semidirect products G=N:Q with N=C₂×He₃⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₄)⋊₁C₂ = C₃²⋊D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₄	36	6	(C2xHe3:C4):1C2	432,238
(C₂×He₃⋊C₄)⋊₂C₂ = C₂²⋊(He₃⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₄	36	6	(C2xHe3:C4):2C2	432,279
(C₂×He₃⋊C₄)⋊₃C₂ = C₂×He₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₄	36	6+	(C2xHe3:C4):3C2	432,530

Non-split extensions G=N.Q with N=C₂×He₃⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₄).₁C₂ = C₄⋊(He₃⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₄	72	6	(C2xHe3:C4).1C2	432,276
(C₂×He₃⋊C₄).₂C₂ = C₆.S₃≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₄	72	6-	(C2xHe3:C4).2C2	432,237
(C₂×He₃⋊C₄).₃C₂ = C₂×He₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₄	54	6+	(C2xHe3:C4).3C2	432,529
(C₂×He₃⋊C₄).₄C₂ = C₂.SU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₄	72	3	(C2xHe3:C4).4C2	432,239
(C₂×He₃⋊C₄).₅C₂ = C₂×SU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₄	54	3	(C2xHe3:C4).5C2	432,531
(C₂×He₃⋊C₄).₆C₂ = C₄×He₃⋊C₄	φ: trivial image	72	3	(C2xHe3:C4).6C2	432,275

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