Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₂×Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂²×Dic₃		48		C2^2xDic3	48,42

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁C₂ = D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃	24		(C2xDic3):1C2	48,14
(C₂×Dic₃)⋊₂C₂ = C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃	24		(C2xDic3):2C2	48,19
(C₂×Dic₃)⋊₃C₂ = D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃	24	4-	(C2xDic3):3C2	48,39
(C₂×Dic₃)⋊₄C₂ = C₂×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃	24		(C2xDic3):4C2	48,43
(C₂×Dic₃)⋊₅C₂ = S₃×C₂×C₄	φ: trivial image	24		(C2xDic3):5C2	48,35

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁C₂ = Dic₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).1C2	48,12
(C₂×Dic₃).₂C₂ = C₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).2C2	48,13
(C₂×Dic₃).₃C₂ = C₂×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×Dic₃	48		(C2xDic3).3C2	48,34
(C₂×Dic₃).₄C₂ = C₄×Dic₃	φ: trivial image	48		(C2xDic3).4C2	48,11

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁