Extensions 1→N→G→Q→1 with N=C₂×C₆ and Q=C₂₄

Direct product G=N×Q with N=C₂×C₆ and Q=C₂₄

		d	ρ	Label	ID
C₂×C₆×C₂₄		288		C2xC6xC24	288,826

Semidirect products G=N:Q with N=C₂×C₆ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆)⋊C₂₄ = A₄×C₃⋊C₈	φ: C₂₄/C₄ → C₆ ⊆ Aut C₂×C₆	72	6	(C2xC6):C24	288,408
(C₂×C₆)⋊₂C₂₄ = A₄×C₂₄	φ: C₂₄/C₈ → C₃ ⊆ Aut C₂×C₆	72	3	(C2xC6):2C24	288,637
(C₂×C₆)⋊₃C₂₄ = C₃²×C₂²⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6):3C24	288,316
(C₂×C₆)⋊₄C₂₄ = C₃×C₁₂.₅₅D₄	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₆	48		(C2xC6):4C24	288,264
(C₂×C₆)⋊₅C₂₄ = C₂×C₆×C₃⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6):5C24	288,691

Non-split extensions G=N.Q with N=C₂×C₆ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆).C₂₄ = C₈×C₃.A₄	φ: C₂₄/C₈ → C₃ ⊆ Aut C₂×C₆	72	3	(C2xC6).C24	288,76
(C₂×C₆).₂C₂₄ = C₉×C₂²⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6).2C24	288,48
(C₂×C₆).₃C₂₄ = C₉×M₅(2)	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₆	144	2	(C2xC6).3C24	288,60
(C₂×C₆).₄C₂₄ = C₃²×M₅(2)	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₆	144		(C2xC6).4C24	288,328
(C₂×C₆).₅C₂₄ = C₆×C₃⋊C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₆	96		(C2xC6).5C24	288,245
(C₂×C₆).₆C₂₄ = C₃×C₁₂.C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₆	48	2	(C2xC6).6C24	288,246

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