Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₂₄

Direct product G=N×Q with N=C₂×C₄ and Q=C₂₄

		d	ρ	Label	ID
C₂×C₄×C₂₄		192		C2xC4xC24	192,835

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₂₄ = C₃×C₂².M₄(2)	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂×C₄	96		(C2xC4):C24	192,130
(C₂×C₄)⋊₂C₂₄ = C₃×C₂².₇C₄²	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₄	192		(C2xC4):2C24	192,142
(C₂×C₄)⋊₃C₂₄ = C₆×C₄⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₄	192		(C2xC4):3C24	192,855
(C₂×C₄)⋊₄C₂₄ = C₃×C₄².₁₂C₄	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4):4C24	192,864

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₂₄ = C₃×C₂³.C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂×C₄	48	4	(C2xC4).C24	192,155
(C₂×C₄).₂C₂₄ = C₃×C₁₆⋊₅C₄	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₄	192		(C2xC4).2C24	192,152
(C₂×C₄).₃C₂₄ = C₃×C₂²⋊C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4).3C24	192,154
(C₂×C₄).₄C₂₄ = C₃×C₄⋊C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₄	192		(C2xC4).4C24	192,169
(C₂×C₄).₅C₂₄ = C₃×M₆(2)	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₄	96	2	(C2xC4).5C24	192,176
(C₂×C₄).₆C₂₄ = C₆×M₅(2)	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₄	96		(C2xC4).6C24	192,936

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