Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃⋊Dic₃

Direct product G=N×Q with N=C₆ and Q=C₃⋊Dic₃

		d	ρ	Label	ID
C₆×C₃⋊Dic₃		72		C6xC3:Dic3	216,143

Semidirect products G=N:Q with N=C₆ and Q=C₃⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃⋊Dic₃) = C₂×C₃³⋊₅C₄	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₆	216		C6:(C3:Dic3)	216,148

Non-split extensions G=N.Q with N=C₆ and Q=C₃⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃⋊Dic₃) = C₃₆.S₃	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₆	216		C6.1(C3:Dic3)	216,16
C₆.₂(C₃⋊Dic₃) = C₂×C₉⋊Dic₃	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₆	216		C6.2(C3:Dic3)	216,69
C₆.₃(C₃⋊Dic₃) = C₃³⋊₇C₈	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Aut C₆	216		C6.3(C3:Dic3)	216,84
C₆.₄(C₃⋊Dic₃) = He₃⋊₄C₈	central extension (φ=1)	72	3	C6.4(C3:Dic3)	216,17
C₆.₅(C₃⋊Dic₃) = C₂×He₃⋊₃C₄	central extension (φ=1)	72		C6.5(C3:Dic3)	216,71
C₆.₆(C₃⋊Dic₃) = C₃×C₃²⋊₄C₈	central extension (φ=1)	72		C6.6(C3:Dic3)	216,83

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