Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆.D₈

Direct product G=N×Q with N=C₃ and Q=C₆.D₈

		d	ρ	Label	ID
C₃×C₆.D₈		96		C3xC6.D8	288,243

Semidirect products G=N:Q with N=C₃ and Q=C₆.D₈

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₆.D₈) = C₆.₁₇D₂₄	φ: C₆.D₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	48	C3:1(C6.D8)	288,212
C₃⋊₂(C₆.D₈) = C₆².₁₁₃D₄	φ: C₆.D₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144	C3:2(C6.D8)	288,284
C₃⋊₃(C₆.D₈) = D₁₂⋊₃Dic₃	φ: C₆.D₈/C₂×D₁₂ → C₂ ⊆ Aut C₃	96	C3:3(C6.D8)	288,210

Non-split extensions G=N.Q with N=C₃ and Q=C₆.D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆.D₈) = C₁₈.D₈	φ: C₆.D₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(C6.D8)	288,17

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Extensions 1→N→G→Q→1 with N=C3 and Q=C6.D8