Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₂²

Direct product G=NxQ with N=C₂xC₆ and Q=C₂²

		d	ρ	Label	ID
C₂³xC₆		48		C2^3xC6	48,52

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):C₂² = S₃xD₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂xC₆	12	4+	(C2xC6):C2^2	48,38
(C₂xC₆):₂C₂² = C₆xD₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6):2C2^2	48,45
(C₂xC₆):₃C₂² = C₂xC₃:D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6):3C2^2	48,43
(C₂xC₆):₄C₂² = S₃xC₂³	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6):4C2^2	48,51

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).C₂² = D₄:₂S₃	φ: C₂²/C₁ → C₂² ⊆ Aut C₂xC₆	24	4-	(C2xC6).C2^2	48,39
(C₂xC₆).₂C₂² = C₃xC₄oD₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	24	2	(C2xC6).2C2^2	48,47
(C₂xC₆).₃C₂² = C₄xDic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).3C2^2	48,11
(C₂xC₆).₄C₂² = Dic₃:C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).4C2^2	48,12
(C₂xC₆).₅C₂² = C₄:Dic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).5C2^2	48,13
(C₂xC₆).₆C₂² = D₆:C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).6C2^2	48,14
(C₂xC₆).₇C₂² = C₆.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).7C2^2	48,19
(C₂xC₆).₈C₂² = C₂xDic₆	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).8C2^2	48,34
(C₂xC₆).₉C₂² = S₃xC₂xC₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).9C2^2	48,35
(C₂xC₆).₁₀C₂² = C₂xD₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	24		(C2xC6).10C2^2	48,36
(C₂xC₆).₁₁C₂² = C₄oD₁₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	24	2	(C2xC6).11C2^2	48,37
(C₂xC₆).₁₂C₂² = C₂²xDic₃	φ: C₂²/C₂ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6).12C2^2	48,42
(C₂xC₆).₁₃C₂² = C₃xC₂²:C₄	central extension (φ=1)	24		(C2xC6).13C2^2	48,21
(C₂xC₆).₁₄C₂² = C₃xC₄:C₄	central extension (φ=1)	48		(C2xC6).14C2^2	48,22
(C₂xC₆).₁₅C₂² = C₆xQ₈	central extension (φ=1)	48		(C2xC6).15C2^2	48,46

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