Extensions 1→N→G→Q→1 with N=C₃×C₂₄ and Q=C₂

Direct product G=N×Q with N=C₃×C₂₄ and Q=C₂

		d	ρ	Label	ID
C₆×C₂₄		144		C6xC24	144,104

Semidirect products G=N:Q with N=C₃×C₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₄)⋊₁C₂ = C₃²⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	72		(C3xC24):1C2	144,88
(C₃×C₂₄)⋊₂C₂ = C₃×D₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	48	2	(C3xC24):2C2	144,72
(C₃×C₂₄)⋊₃C₂ = C₂₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	72		(C3xC24):3C2	144,87
(C₃×C₂₄)⋊₄C₂ = C₃×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	48	2	(C3xC24):4C2	144,71
(C₃×C₂₄)⋊₅C₂ = C₃²×D₈	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	72		(C3xC24):5C2	144,106
(C₃×C₂₄)⋊₆C₂ = S₃×C₂₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	48	2	(C3xC24):6C2	144,69
(C₃×C₂₄)⋊₇C₂ = C₈×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	72		(C3xC24):7C2	144,85
(C₃×C₂₄)⋊₈C₂ = C₂₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	72		(C3xC24):8C2	144,86
(C₃×C₂₄)⋊₉C₂ = C₃×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	48	2	(C3xC24):9C2	144,70
(C₃×C₂₄)⋊₁₀C₂ = C₃²×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	72		(C3xC24):10C2	144,107
(C₃×C₂₄)⋊₁₁C₂ = C₃²×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	72		(C3xC24):11C2	144,105

Non-split extensions G=N.Q with N=C₃×C₂₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₂₄).₁C₂ = C₃²⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	144		(C3xC24).1C2	144,89
(C₃×C₂₄).₂C₂ = C₃×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	48	2	(C3xC24).2C2	144,73
(C₃×C₂₄).₃C₂ = C₃²×Q₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	144		(C3xC24).3C2	144,108
(C₃×C₂₄).₄C₂ = C₃×C₃⋊C₁₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	48	2	(C3xC24).4C2	144,28
(C₃×C₂₄).₅C₂ = C₂₄.S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₂₄	144		(C3xC24).5C2	144,29

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