Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.D₄

Direct product G=N×Q with N=C₃ and Q=C₆.D₄

		d	ρ	Label	ID
C₃×C₆.D₄		24		C3xC6.D4	144,84

Semidirect products G=N:Q with N=C₃ and Q=C₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆.D₄) = D₆⋊Dic₃	φ: C₆.D₄/C₂×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C6.D4)	144,64
C₃⋊₂(C₆.D₄) = C₆²⋊₅C₄	φ: C₆.D₄/C₂²×C₆ → C₂ ⊆ Aut C₃	72		C3:2(C6.D4)	144,100

Non-split extensions G=N.Q with N=C₃ and Q=C₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆.D₄) = C₁₈.D₄	φ: C₆.D₄/C₂²×C₆ → C₂ ⊆ Aut C₃	72		C3.(C6.D4)	144,19

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6.D4