Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×C₂₄

Direct product G=N×Q with N=C₂² and Q=C₃×C₂₄

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

Semidirect products G=N:Q with N=C₂² and Q=C₃×C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×C₂₄) = A₄×C₂₄	φ: C₃×C₂₄/C₂₄ → C₃ ⊆ Aut C₂²	72	3	C2^2:(C3xC24)	288,637
C₂²⋊₂(C₃×C₂₄) = C₃²×C₂²⋊C₈	φ: C₃×C₂₄/C₃×C₁₂ → C₂ ⊆ Aut C₂²	144		C2^2:2(C3xC24)	288,316

Non-split extensions G=N.Q with N=C₂² and Q=C₃×C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×C₂₄) = C₃²×M₅(2)	φ: C₃×C₂₄/C₃×C₁₂ → C₂ ⊆ Aut C₂²	144		C2^2.(C3xC24)	288,328

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Extensions 1→N→G→Q→1 with N=C22 and Q=C3×C24