Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₃.A₄

Direct product G=NxQ with N=C₄ and Q=C₂xC₃.A₄

		d	ρ	Label	ID
C₂xC₄xC₃.A₄		72		C2xC4xC3.A4	288,343

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂xC₃.A₄) = D₄xC₃.A₄	φ: C₂xC₃.A₄/C₃.A₄ → C₂ ⊆ Aut C₄	36	6	C4:(C2xC3.A4)	288,344

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₃.A₄) = Q₈xC₃.A₄	φ: C₂xC₃.A₄/C₃.A₄ → C₂ ⊆ Aut C₄	72	6	C4.1(C2xC3.A4)	288,346
C₄.₂(C₂xC₃.A₄) = 2₊¹⁺⁴:C₉	φ: C₂xC₃.A₄/C₃.A₄ → C₂ ⊆ Aut C₄	72	4	C4.2(C2xC3.A4)	288,348
C₄.₃(C₂xC₃.A₄) = 2_-¹⁺⁴:C₉	φ: C₂xC₃.A₄/C₃.A₄ → C₂ ⊆ Aut C₄	144	4	C4.3(C2xC3.A4)	288,349
C₄.₄(C₂xC₃.A₄) = C₈xC₃.A₄	central extension (φ=1)	72	3	C4.4(C2xC3.A4)	288,76
C₄.₅(C₂xC₃.A₄) = Q₈.C₃₆	central extension (φ=1)	144	2	C4.5(C2xC3.A4)	288,77
C₄.₆(C₂xC₃.A₄) = C₂xQ₈.C₁₈	central extension (φ=1)	144		C4.6(C2xC3.A4)	288,347

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