Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=C₂

Direct product G=N×Q with N=C₃×D₄ and Q=C₂

		d	ρ	Label	ID
C₆×D₄		24		C6xD4	48,45

Semidirect products G=N:Q with N=C₃×D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁C₂ = D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₄	24	4+	(C3xD4):1C2	48,15
(C₃×D₄)⋊₂C₂ = S₃×D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₄	12	4+	(C3xD4):2C2	48,38
(C₃×D₄)⋊₃C₂ = D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₄	24	4-	(C3xD4):3C2	48,39
(C₃×D₄)⋊₄C₂ = C₃×D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₄	24	2	(C3xD4):4C2	48,25
(C₃×D₄)⋊₅C₂ = C₃×C₄○D₄	φ: trivial image	24	2	(C3xD4):5C2	48,47

Non-split extensions G=N.Q with N=C₃×D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁C₂ = D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₄	24	4-	(C3xD4).1C2	48,16
(C₃×D₄).₂C₂ = C₃×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×D₄	24	2	(C3xD4).2C2	48,26

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁