Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈.₇D₆

Direct product G=N×Q with N=C₃ and Q=Q₈.₇D₆

		d	ρ	Label	ID
C₃×Q₈.₇D₆		48	4	C3xQ8.7D6	288,687

Semidirect products G=N:Q with N=C₃ and Q=Q₈.₇D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈.₇D₆) = D₆.₁D₁₂	φ: Q₈.₇D₆/S₃×C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(Q8.7D6)	288,454
C₃⋊₂(Q₈.₇D₆) = D₁₂.₂D₆	φ: Q₈.₇D₆/C₂₄⋊C₂ → C₂ ⊆ Aut C₃	48	4	C3:2(Q8.7D6)	288,457
C₃⋊₃(Q₈.₇D₆) = D₁₂.₈D₆	φ: Q₈.₇D₆/D₄⋊S₃ → C₂ ⊆ Aut C₃	48	8-	C3:3(Q8.7D6)	288,584
C₃⋊₄(Q₈.₇D₆) = D₁₂.₁₄D₆	φ: Q₈.₇D₆/C₃⋊Q₁₆ → C₂ ⊆ Aut C₃	48	8+	C3:4(Q8.7D6)	288,598
C₃⋊₅(Q₈.₇D₆) = C₂₄.₄₀D₆	φ: Q₈.₇D₆/C₃×SD₁₆ → C₂ ⊆ Aut C₃	144		C3:5(Q8.7D6)	288,773
C₃⋊₆(Q₈.₇D₆) = Dic₆.₂₀D₆	φ: Q₈.₇D₆/D₄⋊₂S₃ → C₂ ⊆ Aut C₃	48	8+	C3:6(Q8.7D6)	288,583
C₃⋊₇(Q₈.₇D₆) = D₁₂.₁₂D₆	φ: Q₈.₇D₆/Q₈⋊₃S₃ → C₂ ⊆ Aut C₃	96	8-	C3:7(Q8.7D6)	288,595

Non-split extensions G=N.Q with N=C₃ and Q=Q₈.₇D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈.₇D₆) = SD₁₆⋊₃D₉	φ: Q₈.₇D₆/C₃×SD₁₆ → C₂ ⊆ Aut C₃	144	4	C3.(Q8.7D6)	288,126

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