Extensions 1→N→G→Q→1 with N=C₂₈ and Q=D₆

Direct product G=N×Q with N=C₂₈ and Q=D₆

		d	ρ	Label	ID
S₃×C₂×C₂₈		168		S3xC2xC28	336,185

Semidirect products G=N:Q with N=C₂₈ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊₁D₆ = D₇×D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	84	4+	C28:1D6	336,148
C₂₈⋊₂D₆ = C₂₈⋊D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	84	4	C28:2D6	336,150
C₂₈⋊₃D₆ = D₄×D₂₁	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	84	4+	C28:3D6	336,198
C₂₈⋊₄D₆ = S₃×D₂₈	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	84	4+	C28:4D6	336,149
C₂₈⋊₅D₆ = C₄×S₃×D₇	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	84	4	C28:5D6	336,147
C₂₈⋊₆D₆ = S₃×C₇×D₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	84	4	C28:6D6	336,188
C₂₈⋊₇D₆ = C₂×D₈₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168		C28:7D6	336,196
C₂₈⋊₈D₆ = C₂×C₄×D₂₁	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168		C28:8D6	336,195
C₂₈⋊₉D₆ = C₁₄×D₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168		C28:9D6	336,186

Non-split extensions G=N.Q with N=C₂₈ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁D₆ = C₂₁⋊D₈	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4	C28.1D6	336,29
C₂₈.₂D₆ = C₇⋊D₂₄	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4+	C28.2D6	336,31
C₂₈.₃D₆ = C₂₈.D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4	C28.3D6	336,32
C₂₈.₄D₆ = C₄₂.D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4	C28.4D6	336,33
C₂₈.₅D₆ = D₁₂.D₇	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4-	C28.5D6	336,36
C₂₈.₆D₆ = Dic₆⋊D₇	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4+	C28.6D6	336,37
C₂₈.₇D₆ = C₂₁⋊Q₁₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	336	4	C28.7D6	336,38
C₂₈.₈D₆ = C₇⋊Dic₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	336	4-	C28.8D6	336,40
C₂₈.₉D₆ = D₄⋊D₂₁	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4+	C28.9D6	336,101
C₂₈.₁₀D₆ = D₄.D₂₁	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4-	C28.10D6	336,102
C₂₈.₁₁D₆ = Q₈⋊₂D₂₁	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4+	C28.11D6	336,103
C₂₈.₁₂D₆ = C₂₁⋊₇Q₁₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	336	4-	C28.12D6	336,104
C₂₈.₁₃D₆ = D₇×Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4-	C28.13D6	336,137
C₂₈.₁₄D₆ = D₂₈⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4	C28.14D6	336,139
C₂₈.₁₅D₆ = D₁₂⋊D₇	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4	C28.15D6	336,141
C₂₈.₁₆D₆ = D₂₁⋊Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4	C28.16D6	336,143
C₂₈.₁₇D₆ = D₁₂⋊₅D₇	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4-	C28.17D6	336,145
C₂₈.₁₈D₆ = D₁₄.D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4+	C28.18D6	336,146
C₂₈.₁₉D₆ = D₄⋊₂D₂₁	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4-	C28.19D6	336,199
C₂₈.₂₀D₆ = Q₈×D₂₁	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4-	C28.20D6	336,200
C₂₈.₂₁D₆ = Q₈⋊₃D₂₁	φ: D₆/C₃ → C₂² ⊆ Aut C₂₈	168	4+	C28.21D6	336,201
C₂₈.₂₂D₆ = C₃⋊D₅₆	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4+	C28.22D6	336,30
C₂₈.₂₃D₆ = C₆.D₂₈	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4-	C28.23D6	336,34
C₂₈.₂₄D₆ = C₂₁⋊SD₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4+	C28.24D6	336,35
C₂₈.₂₅D₆ = C₃⋊Dic₂₈	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	336	4-	C28.25D6	336,39
C₂₈.₂₆D₆ = D₂₈⋊₅S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4-	C28.26D6	336,138
C₂₈.₂₇D₆ = S₃×Dic₁₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4-	C28.27D6	336,140
C₂₈.₂₈D₆ = D₈₄⋊C₂	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4+	C28.28D6	336,142
C₂₈.₂₉D₆ = D₇×C₃⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.29D6	336,23
C₂₈.₃₀D₆ = S₃×C₇⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.30D6	336,24
C₂₈.₃₁D₆ = D₂₁⋊C₈	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.31D6	336,25
C₂₈.₃₂D₆ = C₂₈.₃₂D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.32D6	336,26
C₂₈.₃₃D₆ = D₆.Dic₇	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.33D6	336,27
C₂₈.₃₄D₆ = D₄₂.C₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.34D6	336,28
C₂₈.₃₅D₆ = D₆.D₁₄	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.35D6	336,144
C₂₈.₃₆D₆ = C₇×D₄⋊S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.36D6	336,85
C₂₈.₃₇D₆ = C₇×D₄.S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.37D6	336,86
C₂₈.₃₈D₆ = C₇×Q₈⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.38D6	336,87
C₂₈.₃₉D₆ = C₇×C₃⋊Q₁₆	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	336	4	C28.39D6	336,88
C₂₈.₄₀D₆ = C₇×D₄⋊₂S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.40D6	336,189
C₂₈.₄₁D₆ = S₃×C₇×Q₈	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.41D6	336,190
C₂₈.₄₂D₆ = C₇×Q₈⋊₃S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₂₈	168	4	C28.42D6	336,191
C₂₈.₄₃D₆ = C₈⋊D₂₁	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.43D6	336,92
C₂₈.₄₄D₆ = D₁₆₈	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168	2+	C28.44D6	336,93
C₂₈.₄₅D₆ = Dic₈₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	336	2-	C28.45D6	336,94
C₂₈.₄₆D₆ = C₂×Dic₄₂	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	336		C28.46D6	336,194
C₂₈.₄₇D₆ = C₈×D₂₁	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.47D6	336,90
C₂₈.₄₈D₆ = C₅₆⋊S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.48D6	336,91
C₂₈.₄₉D₆ = C₂×C₂₁⋊C₈	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	336		C28.49D6	336,95
C₂₈.₅₀D₆ = C₈₄.C₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.50D6	336,96
C₂₈.₅₁D₆ = D₈₄⋊₁₁C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.51D6	336,197
C₂₈.₅₂D₆ = C₇×C₂₄⋊C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.52D6	336,76
C₂₈.₅₃D₆ = C₇×D₂₄	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.53D6	336,77
C₂₈.₅₄D₆ = C₇×Dic₁₂	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	336	2	C28.54D6	336,78
C₂₈.₅₅D₆ = C₁₄×Dic₆	φ: D₆/C₆ → C₂ ⊆ Aut C₂₈	336		C28.55D6	336,184
C₂₈.₅₆D₆ = S₃×C₅₆	central extension (φ=1)	168	2	C28.56D6	336,74
C₂₈.₅₇D₆ = C₇×C₈⋊S₃	central extension (φ=1)	168	2	C28.57D6	336,75
C₂₈.₅₈D₆ = C₁₄×C₃⋊C₈	central extension (φ=1)	336		C28.58D6	336,79
C₂₈.₅₉D₆ = C₇×C₄.Dic₃	central extension (φ=1)	168	2	C28.59D6	336,80
C₂₈.₆₀D₆ = C₇×C₄○D₁₂	central extension (φ=1)	168	2	C28.60D6	336,187

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Extensions 1→N→G→Q→1 with N=C28 and Q=D6

Extensions 1→N→G→Q→1 with N=C₂₈ and Q=D₆