Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₀

Direct product G=N×Q with N=C₁₂ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂×C₁₂		120		D5xC2xC12	240,156

Semidirect products G=N:Q with N=C₁₂ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁D₁₀ = S₃×D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	60	4+	C12:1D10	240,137
C₁₂⋊₂D₁₀ = C₂₀⋊D₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	60	4	C12:2D10	240,138
C₁₂⋊₃D₁₀ = D₄×D₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	60	4+	C12:3D10	240,179
C₁₂⋊₄D₁₀ = D₅×D₁₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	60	4+	C12:4D10	240,136
C₁₂⋊₅D₁₀ = C₄×S₃×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	60	4	C12:5D10	240,135
C₁₂⋊₆D₁₀ = C₃×D₄×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	60	4	C12:6D10	240,159
C₁₂⋊₇D₁₀ = C₂×D₆₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120		C12:7D10	240,177
C₁₂⋊₈D₁₀ = C₂×C₄×D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120		C12:8D10	240,176
C₁₂⋊₉D₁₀ = C₆×D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120		C12:9D10	240,157

Non-split extensions G=N.Q with N=C₁₂ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁D₁₀ = C₁₅⋊D₈	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4	C12.1D10	240,13
C₁₂.₂D₁₀ = C₃⋊D₄₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4+	C12.2D10	240,14
C₁₂.₃D₁₀ = C₃₀.D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4	C12.3D10	240,16
C₁₂.₄D₁₀ = C₂₀.D₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4	C12.4D10	240,17
C₁₂.₅D₁₀ = C₆.D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4-	C12.5D10	240,18
C₁₂.₆D₁₀ = C₁₅⋊SD₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4+	C12.6D10	240,19
C₁₂.₇D₁₀ = C₁₅⋊Q₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	240	4	C12.7D10	240,22
C₁₂.₈D₁₀ = C₃⋊Dic₂₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	240	4-	C12.8D10	240,23
C₁₂.₉D₁₀ = D₄⋊D₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4+	C12.9D10	240,76
C₁₂.₁₀D₁₀ = D₄.D₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4-	C12.10D10	240,77
C₁₂.₁₁D₁₀ = Q₈⋊₂D₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4+	C12.11D10	240,78
C₁₂.₁₂D₁₀ = C₁₅⋊₇Q₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	240	4-	C12.12D10	240,79
C₁₂.₁₃D₁₀ = D₂₀⋊₅S₃	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4-	C12.13D10	240,126
C₁₂.₁₄D₁₀ = D₂₀⋊S₃	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4	C12.14D10	240,127
C₁₂.₁₅D₁₀ = S₃×Dic₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4-	C12.15D10	240,128
C₁₂.₁₆D₁₀ = D₁₂⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4	C12.16D10	240,129
C₁₂.₁₇D₁₀ = D₆₀⋊C₂	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4+	C12.17D10	240,130
C₁₂.₁₈D₁₀ = D₁₅⋊Q₈	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4	C12.18D10	240,131
C₁₂.₁₉D₁₀ = D₄⋊₂D₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4-	C12.19D10	240,180
C₁₂.₂₀D₁₀ = Q₈×D₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4-	C12.20D10	240,181
C₁₂.₂₁D₁₀ = Q₈⋊₃D₁₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₁₂	120	4+	C12.21D10	240,182
C₁₂.₂₂D₁₀ = C₅⋊D₂₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4+	C12.22D10	240,15
C₁₂.₂₃D₁₀ = D₁₂.D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4-	C12.23D10	240,20
C₁₂.₂₄D₁₀ = Dic₆⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4+	C12.24D10	240,21
C₁₂.₂₅D₁₀ = C₅⋊Dic₁₂	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	240	4-	C12.25D10	240,24
C₁₂.₂₆D₁₀ = D₅×Dic₆	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4-	C12.26D10	240,125
C₁₂.₂₇D₁₀ = D₁₂⋊₅D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4-	C12.27D10	240,133
C₁₂.₂₈D₁₀ = C₁₂.₂₈D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4+	C12.28D10	240,134
C₁₂.₂₉D₁₀ = D₅×C₃⋊C₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.29D10	240,7
C₁₂.₃₀D₁₀ = S₃×C₅⋊₂C₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.30D10	240,8
C₁₂.₃₁D₁₀ = D₁₅⋊₂C₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.31D10	240,9
C₁₂.₃₂D₁₀ = C₂₀.₃₂D₆	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.32D10	240,10
C₁₂.₃₃D₁₀ = D₆.Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.33D10	240,11
C₁₂.₃₄D₁₀ = D₃₀.₅C₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.34D10	240,12
C₁₂.₃₅D₁₀ = D₆.D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.35D10	240,132
C₁₂.₃₆D₁₀ = C₃×D₄⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.36D10	240,44
C₁₂.₃₇D₁₀ = C₃×D₄.D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.37D10	240,45
C₁₂.₃₈D₁₀ = C₃×Q₈⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.38D10	240,46
C₁₂.₃₉D₁₀ = C₃×C₅⋊Q₁₆	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	240	4	C12.39D10	240,47
C₁₂.₄₀D₁₀ = C₃×D₄⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.40D10	240,160
C₁₂.₄₁D₁₀ = C₃×Q₈×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.41D10	240,161
C₁₂.₄₂D₁₀ = C₃×Q₈⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₁₂	120	4	C12.42D10	240,162
C₁₂.₄₃D₁₀ = C₂₄⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.43D10	240,67
C₁₂.₄₄D₁₀ = D₁₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2+	C12.44D10	240,68
C₁₂.₄₅D₁₀ = Dic₆₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	240	2-	C12.45D10	240,69
C₁₂.₄₆D₁₀ = C₂×Dic₃₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12.46D10	240,175
C₁₂.₄₇D₁₀ = D₆₀⋊₁₁C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.47D10	240,178
C₁₂.₄₈D₁₀ = C₈×D₁₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.48D10	240,65
C₁₂.₄₉D₁₀ = C₄₀⋊S₃	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.49D10	240,66
C₁₂.₅₀D₁₀ = C₂×C₁₅⋊₃C₈	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12.50D10	240,70
C₁₂.₅₁D₁₀ = C₆₀.₇C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.51D10	240,71
C₁₂.₅₂D₁₀ = C₃×C₄₀⋊C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.52D10	240,35
C₁₂.₅₃D₁₀ = C₃×D₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	120	2	C12.53D10	240,36
C₁₂.₅₄D₁₀ = C₃×Dic₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	240	2	C12.54D10	240,37
C₁₂.₅₅D₁₀ = C₆×Dic₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₁₂	240		C12.55D10	240,155
C₁₂.₅₆D₁₀ = D₅×C₂₄	central extension (φ=1)	120	2	C12.56D10	240,33
C₁₂.₅₇D₁₀ = C₃×C₈⋊D₅	central extension (φ=1)	120	2	C12.57D10	240,34
C₁₂.₅₈D₁₀ = C₆×C₅⋊₂C₈	central extension (φ=1)	240		C12.58D10	240,38
C₁₂.₅₉D₁₀ = C₃×C₄.Dic₅	central extension (φ=1)	120	2	C12.59D10	240,39
C₁₂.₆₀D₁₀ = C₃×C₄○D₂₀	central extension (φ=1)	120	2	C12.60D10	240,158

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Extensions 1→N→G→Q→1 with N=C12 and Q=D10

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=D₁₀