Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.Dic₆

Direct product G=N×Q with N=C₃ and Q=C₆.Dic₆

		d	ρ	Label	ID
C₃×C₆.Dic₆		144		C3xC6.Dic6	432,488

Semidirect products G=N:Q with N=C₃ and Q=C₆.Dic₆

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₆.Dic₆) = C₆².₈₁D₆	φ: C₆.Dic₆/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	144	C3:1(C6.Dic6)	432,453
C₃⋊₂(C₆.Dic₆) = C₆².₈₂D₆	φ: C₆.Dic₆/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	144	C3:2(C6.Dic6)	432,454
C₃⋊₃(C₆.Dic₆) = C₆².₁₄₆D₆	φ: C₆.Dic₆/C₆×C₁₂ → C₂ ⊆ Aut C₃	432	C3:3(C6.Dic6)	432,504

Non-split extensions G=N.Q with N=C₃ and Q=C₆.Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆.Dic₆) = C₆.Dic₁₈	φ: C₆.Dic₆/C₆×C₁₂ → C₂ ⊆ Aut C₃	432		C3.(C6.Dic6)	432,181
C₃.₂(C₆.Dic₆) = C₆².₂₉D₆	central stem extension (φ=1)	144		C3.2(C6.Dic6)	432,187

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6.Dic6