Extensions 1→N→G→Q→1 with N=C₂xC₆ and Q=C₃:C₈

Direct product G=NxQ with N=C₂xC₆ and Q=C₃:C₈

		d	ρ	Label	ID
C₂xC₆xC₃:C₈		96		C2xC6xC3:C8	288,691

Semidirect products G=N:Q with N=C₂xC₆ and Q=C₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆):₁(C₃:C₈) = C₃xA₄:C₈	φ: C₃:C₈/C₄ → S₃ ⊆ Aut C₂xC₆	72	3	(C2xC6):1(C3:C8)	288,398
(C₂xC₆):₂(C₃:C₈) = C₁₂.₁₂S₄	φ: C₃:C₈/C₄ → S₃ ⊆ Aut C₂xC₆	72	6	(C2xC6):2(C3:C8)	288,402
(C₂xC₆):₃(C₃:C₈) = C₃xC₁₂.₅₅D₄	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	48		(C2xC6):3(C3:C8)	288,264
(C₂xC₆):₄(C₃:C₈) = C₆²:₇C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6):4(C3:C8)	288,305
(C₂xC₆):₅(C₃:C₈) = C₂²xC₃²:₄C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	288		(C2xC6):5(C3:C8)	288,777

Non-split extensions G=N.Q with N=C₂xC₆ and Q=C₃:C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₆).(C₃:C₈) = C₁₂.S₄	φ: C₃:C₈/C₄ → S₃ ⊆ Aut C₂xC₆	72	6	(C2xC6).(C3:C8)	288,68
(C₂xC₆).₂(C₃:C₈) = C₃xC₁₂.C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	48	2	(C2xC6).2(C3:C8)	288,246
(C₂xC₆).₃(C₃:C₈) = C₂xC₉:C₁₆	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	288		(C2xC6).3(C3:C8)	288,18
(C₂xC₆).₄(C₃:C₈) = C₃₆.C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	144	2	(C2xC6).4(C3:C8)	288,19
(C₂xC₆).₅(C₃:C₈) = C₃₆.₅₅D₄	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).5(C3:C8)	288,37
(C₂xC₆).₆(C₃:C₈) = C₂²xC₉:C₈	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	288		(C2xC6).6(C3:C8)	288,130
(C₂xC₆).₇(C₃:C₈) = C₂xC₂₄.S₃	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	288		(C2xC6).7(C3:C8)	288,286
(C₂xC₆).₈(C₃:C₈) = C₂₄.₉₄D₆	φ: C₃:C₈/C₁₂ → C₂ ⊆ Aut C₂xC₆	144		(C2xC6).8(C3:C8)	288,287
(C₂xC₆).₉(C₃:C₈) = C₆xC₃:C₁₆	central extension (φ=1)	96		(C2xC6).9(C3:C8)	288,245

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