Extensions 1→N→G→Q→1 with N=C₂×C₃⋊Dic₃ and Q=C₂

Direct product G=N×Q with N=C₂×C₃⋊Dic₃ and Q=C₂

		d	ρ	Label	ID
C₂²×C₃⋊Dic₃		144		C2^2xC3:Dic3	144,176

Semidirect products G=N:Q with N=C₂×C₃⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊Dic₃)⋊₁C₂ = D₆⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	48		(C2xC3:Dic3):1C2	144,64
(C₂×C₃⋊Dic₃)⋊₂C₂ = C₆.₁₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	72		(C2xC3:Dic3):2C2	144,95
(C₂×C₃⋊Dic₃)⋊₃C₂ = C₆²⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	72		(C2xC3:Dic3):3C2	144,100
(C₂×C₃⋊Dic₃)⋊₄C₂ = C₂×S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	48		(C2xC3:Dic3):4C2	144,146
(C₂×C₃⋊Dic₃)⋊₅C₂ = D₆.₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	24	4-	(C2xC3:Dic3):5C2	144,148
(C₂×C₃⋊Dic₃)⋊₆C₂ = C₂×D₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	48		(C2xC3:Dic3):6C2	144,150
(C₂×C₃⋊Dic₃)⋊₇C₂ = C₁₂.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	72		(C2xC3:Dic3):7C2	144,173
(C₂×C₃⋊Dic₃)⋊₈C₂ = C₂×C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	72		(C2xC3:Dic3):8C2	144,177
(C₂×C₃⋊Dic₃)⋊₉C₂ = C₂×C₄×C₃⋊S₃	φ: trivial image	72		(C2xC3:Dic3):9C2	144,169

Non-split extensions G=N.Q with N=C₂×C₃⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃⋊Dic₃).₁C₂ = Dic₃²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	48		(C2xC3:Dic3).1C2	144,63
(C₂×C₃⋊Dic₃).₂C₂ = Dic₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	48		(C2xC3:Dic3).2C2	144,66
(C₂×C₃⋊Dic₃).₃C₂ = C₆².C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	48		(C2xC3:Dic3).3C2	144,67
(C₂×C₃⋊Dic₃).₄C₂ = C₆.Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	144		(C2xC3:Dic3).4C2	144,93
(C₂×C₃⋊Dic₃).₅C₂ = C₁₂⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	144		(C2xC3:Dic3).5C2	144,94
(C₂×C₃⋊Dic₃).₆C₂ = C₂×C₃²⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	48		(C2xC3:Dic3).6C2	144,134
(C₂×C₃⋊Dic₃).₇C₂ = C₆².C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	24	4-	(C2xC3:Dic3).7C2	144,135
(C₂×C₃⋊Dic₃).₈C₂ = C₂×C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	48		(C2xC3:Dic3).8C2	144,152
(C₂×C₃⋊Dic₃).₉C₂ = C₂×C₃²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₃⋊Dic₃	144		(C2xC3:Dic3).9C2	144,168
(C₂×C₃⋊Dic₃).₁₀C₂ = C₄×C₃⋊Dic₃	φ: trivial image	144		(C2xC3:Dic3).10C2	144,92

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁