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

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

		d	ρ	Label	ID
C₂²×He₃⋊C₂		36		C2^2xHe3:C2	216,113

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₂)⋊₁C₂ = He₃⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₂	36	6	(C2xHe3:C2):1C2	216,37
(C₂×He₃⋊C₂)⋊₂C₂ = He₃⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₂	36	6	(C2xHe3:C2):2C2	216,68
(C₂×He₃⋊C₂)⋊₃C₂ = He₃⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₂	36	6	(C2xHe3:C2):3C2	216,72
(C₂×He₃⋊C₂)⋊₄C₂ = C₂×C₃²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₂	18	6+	(C2xHe3:C2):4C2	216,102

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₂).₁C₂ = He₃⋊(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₂	36	6-	(C2xHe3:C2).1C2	216,36
(C₂×He₃⋊C₂).₂C₂ = C₂×He₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₂	36	3	(C2xHe3:C2).2C2	216,100
(C₂×He₃⋊C₂).₃C₂ = C₄×He₃⋊C₂	φ: trivial image	36	3	(C2xHe3:C2).3C2	216,67

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁