Extensions 1→N→G→Q→1 with N=C₈ and Q=D₆

Direct product G=N×Q with N=C₈ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₈		48		S3xC2xC8	96,106

Semidirect products G=N:Q with N=C₈ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₆ = C₈⋊D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₈	24	4+	C8:1D6	96,115
C₈⋊₂D₆ = D₈⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₈	24	4	C8:2D6	96,118
C₈⋊₃D₆ = Q₈⋊₃D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₈	24	4+	C8:3D6	96,121
C₈⋊₄D₆ = S₃×D₈	φ: D₆/S₃ → C₂ ⊆ Aut C₈	24	4+	C8:4D6	96,117
C₈⋊₅D₆ = S₃×SD₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₈	24	4	C8:5D6	96,120
C₈⋊₆D₆ = S₃×M₄(2)	φ: D₆/S₃ → C₂ ⊆ Aut C₈	24	4	C8:6D6	96,113
C₈⋊₇D₆ = C₂×D₂₄	φ: D₆/C₆ → C₂ ⊆ Aut C₈	48		C8:7D6	96,110
C₈⋊₈D₆ = C₂×C₂₄⋊C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₈	48		C8:8D6	96,109
C₈⋊₉D₆ = C₂×C₈⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₈	48		C8:9D6	96,107

Non-split extensions G=N.Q with N=C₈ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁D₆ = C₈.D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₈	48	4-	C8.1D6	96,116
C₈.₂D₆ = D₄.D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₈	48	4-	C8.2D6	96,122
C₈.₃D₆ = Q₁₆⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₈	48	4	C8.3D6	96,125
C₈.₄D₆ = C₃⋊D₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₈	48	4+	C8.4D6	96,33
C₈.₅D₆ = D₈.S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₈	48	4-	C8.5D6	96,34
C₈.₆D₆ = C₈.₆D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₈	48	4+	C8.6D6	96,35
C₈.₇D₆ = C₃⋊Q₃₂	φ: D₆/S₃ → C₂ ⊆ Aut C₈	96	4-	C8.7D6	96,36
C₈.₈D₆ = D₈⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₈	48	4-	C8.8D6	96,119
C₈.₉D₆ = S₃×Q₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₈	48	4-	C8.9D6	96,124
C₈.₁₀D₆ = D₂₄⋊C₂	φ: D₆/S₃ → C₂ ⊆ Aut C₈	48	4+	C8.10D6	96,126
C₈.₁₁D₆ = Q₈.₇D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₈	48	4	C8.11D6	96,123
C₈.₁₂D₆ = D₁₂.C₄	φ: D₆/S₃ → C₂ ⊆ Aut C₈	48	4	C8.12D6	96,114
C₈.₁₃D₆ = D₄₈	φ: D₆/C₆ → C₂ ⊆ Aut C₈	48	2+	C8.13D6	96,6
C₈.₁₄D₆ = C₄₈⋊C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₈	48	2	C8.14D6	96,7
C₈.₁₅D₆ = Dic₂₄	φ: D₆/C₆ → C₂ ⊆ Aut C₈	96	2-	C8.15D6	96,8
C₈.₁₆D₆ = C₂×Dic₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₈	96		C8.16D6	96,112
C₈.₁₇D₆ = C₄○D₂₄	φ: D₆/C₆ → C₂ ⊆ Aut C₈	48	2	C8.17D6	96,111
C₈.₁₈D₆ = C₈○D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₈	48	2	C8.18D6	96,108
C₈.₁₉D₆ = S₃×C₁₆	central extension (φ=1)	48	2	C8.19D6	96,4
C₈.₂₀D₆ = D₆.C₈	central extension (φ=1)	48	2	C8.20D6	96,5
C₈.₂₁D₆ = C₂×C₃⋊C₁₆	central extension (φ=1)	96		C8.21D6	96,18
C₈.₂₂D₆ = C₁₂.C₈	central extension (φ=1)	48	2	C8.22D6	96,19

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Extensions 1→N→G→Q→1 with N=C8 and Q=D6

Extensions 1→N→G→Q→1 with N=C₈ and Q=D₆