Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉×M₄(2)

Direct product G=N×Q with N=C₃ and Q=C₉×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₃×C₉		216		M4(2)xC3xC9	432,212

Semidirect products G=N:Q with N=C₃ and Q=C₉×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₉×M₄(2)) = C₉×C₈⋊S₃	φ: C₉×M₄(2)/C₇₂ → C₂ ⊆ Aut C₃	144	2	C3:1(C9xM4(2))	432,110
C₃⋊₂(C₉×M₄(2)) = C₉×C₄.Dic₃	φ: C₉×M₄(2)/C₂×C₃₆ → C₂ ⊆ Aut C₃	72	2	C3:2(C9xM4(2))	432,127

Non-split extensions G=N.Q with N=C₃ and Q=C₉×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₉×M₄(2)) = M₄(2)×C₂₇	central extension (φ=1)	216	2	C3.(C9xM4(2))	432,24

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C9×M4(2)