Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₄.C₄

Direct product G=N×Q with N=C₃ and Q=C₂₄.C₄

		d	ρ	Label	ID
C₃×C₂₄.C₄		48	2	C3xC24.C4	288,253

Semidirect products G=N:Q with N=C₃ and Q=C₂₄.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₄.C₄) = C₁₂.₈₂D₁₂	φ: C₂₄.C₄/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:1(C24.C4)	288,225
C₃⋊₂(C₂₄.C₄) = C₁₂.₅₉D₁₂	φ: C₂₄.C₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	144		C3:2(C24.C4)	288,294

Non-split extensions G=N.Q with N=C₃ and Q=C₂₄.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂₄.C₄) = C₇₂.C₄	φ: C₂₄.C₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	144	2	C3.(C24.C4)	288,20

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Extensions 1→N→G→Q→1 with N=C3 and Q=C24.C4