Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×M₄(2)

Direct product G=N×Q with N=C₃ and Q=C₃×M₄(2)

		d	ρ	Label	ID
C₃²×M₄(2)		72		C3^2xM4(2)	144,105

Semidirect products G=N:Q with N=C₃ and Q=C₃×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×M₄(2)) = C₃×C₈⋊S₃	φ: C₃×M₄(2)/C₂₄ → C₂ ⊆ Aut C₃	48	2	C3:1(C3xM4(2))	144,70
C₃⋊₂(C₃×M₄(2)) = C₃×C₄.Dic₃	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₃	24	2	C3:2(C3xM4(2))	144,75

Non-split extensions G=N.Q with N=C₃ and Q=C₃×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×M₄(2)) = C₉×M₄(2)	central extension (φ=1)	72	2	C3.(C3xM4(2))	144,24

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×M4(2)