Extensions 1→N→G→Q→1 with N=C₃ and Q=D₂₄

Direct product G=N×Q with N=C₃ and Q=D₂₄

		d	ρ	Label	ID
C₃×D₂₄		48	2	C3xD24	144,72

Semidirect products G=N:Q with N=C₃ and Q=D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁D₂₄ = C₃²⋊₅D₈	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₃	72		C3:1D24	144,88
C₃⋊₂D₂₄ = C₃⋊D₂₄	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₃	24	4+	C3:2D24	144,57

Non-split extensions G=N.Q with N=C₃ and Q=D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.D₂₄ = D₇₂	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₃	72	2+	C3.D24	144,8

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Extensions 1→N→G→Q→1 with N=C3 and Q=D24