Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₆

Direct product G=N×Q with N=C₂³ and Q=D₆

		d	ρ	Label	ID
S₃×C₂⁴		48		S3xC2^4	96,230

Semidirect products G=N:Q with N=C₂³ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₆ = C₂²×S₄	φ: D₆/C₂ → S₃ ⊆ Aut C₂³	12		C2^3:D6	96,226
C₂³⋊₂D₆ = C₂³⋊₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	24		C2^3:2D6	96,144
C₂³⋊₃D₆ = D₄⋊₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	24	4	C2^3:3D6	96,211
C₂³⋊₄D₆ = C₂×S₃×D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	24		C2^3:4D6	96,209
C₂³⋊₅D₆ = C₂²×C₃⋊D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3:5D6	96,219

Non-split extensions G=N.Q with N=C₂³ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁D₆ = A₄⋊Q₈	φ: D₆/C₂ → S₃ ⊆ Aut C₂³	24	6-	C2^3.1D6	96,185
C₂³.₂D₆ = C₄×S₄	φ: D₆/C₂ → S₃ ⊆ Aut C₂³	12	3	C2^3.2D6	96,186
C₂³.₃D₆ = C₄⋊S₄	φ: D₆/C₂ → S₃ ⊆ Aut C₂³	12	6+	C2^3.3D6	96,187
C₂³.₄D₆ = C₂×A₄⋊C₄	φ: D₆/C₂ → S₃ ⊆ Aut C₂³	24		C2^3.4D6	96,194
C₂³.₅D₆ = A₄⋊D₄	φ: D₆/C₂ → S₃ ⊆ Aut C₂³	12	6+	C2^3.5D6	96,195
C₂³.₆D₆ = C₂³.₆D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	24	4	C2^3.6D6	96,13
C₂³.₇D₆ = C₂³.₇D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	24	4	C2^3.7D6	96,41
C₂³.₈D₆ = C₂³.₈D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.8D6	96,86
C₂³.₉D₆ = C₂³.₉D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.9D6	96,90
C₂³.₁₀D₆ = Dic₃⋊D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.10D6	96,91
C₂³.₁₁D₆ = C₂³.₁₁D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.11D6	96,92
C₂³.₁₂D₆ = C₂³.₁₂D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.12D6	96,143
C₂³.₁₃D₆ = D₆⋊₃D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.13D6	96,145
C₂³.₁₄D₆ = C₂³.₁₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.14D6	96,146
C₂³.₁₅D₆ = C₁₂⋊₃D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₂³	48		C2^3.15D6	96,147
C₂³.₁₆D₆ = C₂³.₁₆D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	48		C2^3.16D6	96,84
C₂³.₁₇D₆ = Dic₃.D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	48		C2^3.17D6	96,85
C₂³.₁₈D₆ = S₃×C₂²⋊C₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	24		C2^3.18D6	96,87
C₂³.₁₉D₆ = Dic₃⋊₄D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	48		C2^3.19D6	96,88
C₂³.₂₀D₆ = D₆⋊D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	24		C2^3.20D6	96,89
C₂³.₂₁D₆ = C₂³.₂₁D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	48		C2^3.21D6	96,93
C₂³.₂₂D₆ = D₄×Dic₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	48		C2^3.22D6	96,141
C₂³.₂₃D₆ = C₂³.₂₃D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	48		C2^3.23D6	96,142
C₂³.₂₄D₆ = C₂×D₄⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂³	48		C2^3.24D6	96,210
C₂³.₂₅D₆ = C₁₂.₄₈D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.25D6	96,131
C₂³.₂₆D₆ = C₂³.₂₆D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.26D6	96,133
C₂³.₂₇D₆ = C₄×C₃⋊D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.27D6	96,135
C₂³.₂₈D₆ = C₂³.₂₈D₆	φ: D₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.28D6	96,136
C₂³.₂₉D₆ = C₁₂⋊₇D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.29D6	96,137
C₂³.₃₀D₆ = C₂⁴⋊₄S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₂³	24		C2^3.30D6	96,160
C₂³.₃₁D₆ = C₂×C₄○D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₂³	48		C2^3.31D6	96,208
C₂³.₃₂D₆ = C₆.C₄²	central extension (φ=1)	96		C2^3.32D6	96,38
C₂³.₃₃D₆ = C₂×C₄×Dic₃	central extension (φ=1)	96		C2^3.33D6	96,129
C₂³.₃₄D₆ = C₂×Dic₃⋊C₄	central extension (φ=1)	96		C2^3.34D6	96,130
C₂³.₃₅D₆ = C₂×C₄⋊Dic₃	central extension (φ=1)	96		C2^3.35D6	96,132
C₂³.₃₆D₆ = C₂×D₆⋊C₄	central extension (φ=1)	48		C2^3.36D6	96,134
C₂³.₃₇D₆ = C₂×C₆.D₄	central extension (φ=1)	48		C2^3.37D6	96,159
C₂³.₃₈D₆ = C₂²×Dic₆	central extension (φ=1)	96		C2^3.38D6	96,205
C₂³.₃₉D₆ = S₃×C₂²×C₄	central extension (φ=1)	48		C2^3.39D6	96,206
C₂³.₄₀D₆ = C₂²×D₁₂	central extension (φ=1)	48		C2^3.40D6	96,207
C₂³.₄₁D₆ = C₂³×Dic₃	central extension (φ=1)	96		C2^3.41D6	96,218

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Extensions 1→N→G→Q→1 with N=C23 and Q=D6

Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₆