Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₂²

Direct product G=N×Q with N=C₂×C₆ and Q=C₂²

		d	ρ	Label	ID
C₂³×C₆		48		C2^3xC6	48,52

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊C₂² = S₃×D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₆	12	4+	(C2xC6):C2^2	48,38
(C₂×C₆)⋊₂C₂² = C₆×D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6):2C2^2	48,45
(C₂×C₆)⋊₃C₂² = C₂×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6):3C2^2	48,43
(C₂×C₆)⋊₄C₂² = S₃×C₂³	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6):4C2^2	48,51

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₂² = D₄⋊₂S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₂×C₆	24	4-	(C2xC6).C2^2	48,39
(C₂×C₆).₂C₂² = C₃×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	24	2	(C2xC6).2C2^2	48,47
(C₂×C₆).₃C₂² = C₄×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6).3C2^2	48,11
(C₂×C₆).₄C₂² = Dic₃⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6).4C2^2	48,12
(C₂×C₆).₅C₂² = C₄⋊Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6).5C2^2	48,13
(C₂×C₆).₆C₂² = D₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6).6C2^2	48,14
(C₂×C₆).₇C₂² = C₆.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6).7C2^2	48,19
(C₂×C₆).₈C₂² = C₂×Dic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6).8C2^2	48,34
(C₂×C₆).₉C₂² = S₃×C₂×C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6).9C2^2	48,35
(C₂×C₆).₁₀C₂² = C₂×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	24		(C2xC6).10C2^2	48,36
(C₂×C₆).₁₁C₂² = C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	24	2	(C2xC6).11C2^2	48,37
(C₂×C₆).₁₂C₂² = C₂²×Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6).12C2^2	48,42
(C₂×C₆).₁₃C₂² = C₃×C₂²⋊C₄	central extension (φ=1)	24		(C2xC6).13C2^2	48,21
(C₂×C₆).₁₄C₂² = C₃×C₄⋊C₄	central extension (φ=1)	48		(C2xC6).14C2^2	48,22
(C₂×C₆).₁₅C₂² = C₆×Q₈	central extension (φ=1)	48		(C2xC6).15C2^2	48,46

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