Extensions 1→N→G→Q→1 with N=C₂₀ and Q=D₁₀

Direct product G=N×Q with N=C₂₀ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂×C₂₀		80		D5xC2xC20	400,182

Semidirect products G=N:Q with N=C₂₀ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀⋊₁D₁₀ = D₅×D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4+	C20:1D10	400,170
C₂₀⋊₂D₁₀ = C₂₀⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4	C20:2D10	400,171
C₂₀⋊₃D₁₀ = D₄×C₅⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	100		C20:3D10	400,195
C₂₀⋊₄D₁₀ = C₄×D₅²	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	40	4	C20:4D10	400,169
C₂₀⋊₅D₁₀ = C₅×D₄×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	40	4	C20:5D10	400,185
C₂₀⋊₆D₁₀ = C₂×C₂₀⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20:6D10	400,193
C₂₀⋊₇D₁₀ = C₂×C₄×C₅⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20:7D10	400,192
C₂₀⋊₈D₁₀ = C₁₀×D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20:8D10	400,183

Non-split extensions G=N.Q with N=C₂₀ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₀.₁D₁₀ = D₄.D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200	4-	C20.1D10	400,15
C₂₀.₂D₁₀ = D₄⋊D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200	4+	C20.2D10	400,16
C₂₀.₃D₁₀ = C₂₅⋊Q₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	400	4-	C20.3D10	400,17
C₂₀.₄D₁₀ = Q₈⋊D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200	4+	C20.4D10	400,18
C₂₀.₅D₁₀ = D₄×D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	100	4+	C20.5D10	400,39
C₂₀.₆D₁₀ = D₄⋊₂D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200	4-	C20.6D10	400,40
C₂₀.₇D₁₀ = Q₈×D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200	4-	C20.7D10	400,41
C₂₀.₈D₁₀ = Q₈⋊₂D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200	4+	C20.8D10	400,42
C₂₀.₉D₁₀ = C₅²⋊₂D₈	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4	C20.9D10	400,64
C₂₀.₁₀D₁₀ = C₅⋊D₄₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4+	C20.10D10	400,65
C₂₀.₁₁D₁₀ = D₂₀.D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4	C20.11D10	400,66
C₂₀.₁₂D₁₀ = C₅²⋊₃SD₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4-	C20.12D10	400,67
C₂₀.₁₃D₁₀ = C₅²⋊₄SD₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4+	C20.13D10	400,68
C₂₀.₁₄D₁₀ = C₅²⋊₂Q₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4	C20.14D10	400,69
C₂₀.₁₅D₁₀ = C₅²⋊₃Q₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4-	C20.15D10	400,70
C₂₀.₁₆D₁₀ = C₅²⋊₇D₈	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200		C20.16D10	400,103
C₂₀.₁₇D₁₀ = C₅²⋊₈SD₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200		C20.17D10	400,104
C₂₀.₁₈D₁₀ = C₅²⋊₁₀SD₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200		C20.18D10	400,105
C₂₀.₁₉D₁₀ = C₅²⋊₇Q₁₆	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	400		C20.19D10	400,106
C₂₀.₂₀D₁₀ = D₅×Dic₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4-	C20.20D10	400,163
C₂₀.₂₁D₁₀ = D₂₀⋊₅D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	80	4-	C20.21D10	400,164
C₂₀.₂₂D₁₀ = D₂₀⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4	C20.22D10	400,165
C₂₀.₂₃D₁₀ = Dic₁₀⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	40	4	C20.23D10	400,166
C₂₀.₂₄D₁₀ = C₂₀.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200		C20.24D10	400,196
C₂₀.₂₅D₁₀ = Q₈×C₅⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200		C20.25D10	400,197
C₂₀.₂₆D₁₀ = C₂₀.₂₆D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂₀	200		C20.26D10	400,198
C₂₀.₂₇D₁₀ = Dic₁₀⋊₅D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	40	4+	C20.27D10	400,168
C₂₀.₂₈D₁₀ = D₅×C₅⋊₂C₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	80	4	C20.28D10	400,60
C₂₀.₂₉D₁₀ = C₂₀.₂₉D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	40	4	C20.29D10	400,61
C₂₀.₃₀D₁₀ = C₂₀.₃₀D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	80	4	C20.30D10	400,62
C₂₀.₃₁D₁₀ = C₂₀.₃₁D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	40	4	C20.31D10	400,63
C₂₀.₃₂D₁₀ = D₁₀.₉D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	40	4	C20.32D10	400,167
C₂₀.₃₃D₁₀ = C₅×D₄⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	40	4	C20.33D10	400,87
C₂₀.₃₄D₁₀ = C₅×D₄.D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	40	4	C20.34D10	400,88
C₂₀.₃₅D₁₀ = C₅×Q₈⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	80	4	C20.35D10	400,89
C₂₀.₃₆D₁₀ = C₅×C₅⋊Q₁₆	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	80	4	C20.36D10	400,90
C₂₀.₃₇D₁₀ = C₅×D₄⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	40	4	C20.37D10	400,186
C₂₀.₃₈D₁₀ = C₅×Q₈×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	80	4	C20.38D10	400,187
C₂₀.₃₉D₁₀ = C₅×Q₈⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂₀	80	4	C20.39D10	400,188
C₂₀.₄₀D₁₀ = Dic₁₀₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400	2-	C20.40D10	400,4
C₂₀.₄₁D₁₀ = C₂₀₀⋊C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.41D10	400,7
C₂₀.₄₂D₁₀ = D₂₀₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2+	C20.42D10	400,8
C₂₀.₄₃D₁₀ = C₂×Dic₅₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.43D10	400,35
C₂₀.₄₄D₁₀ = C₂×D₁₀₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.44D10	400,37
C₂₀.₄₅D₁₀ = D₁₀₀⋊₅C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.45D10	400,38
C₂₀.₄₆D₁₀ = C₄₀⋊₂D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.46D10	400,94
C₂₀.₄₇D₁₀ = C₅²⋊₅D₈	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.47D10	400,95
C₂₀.₄₈D₁₀ = C₄₀.D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.48D10	400,96
C₂₀.₄₉D₁₀ = C₂×C₅²⋊₄Q₈	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.49D10	400,191
C₂₀.₅₀D₁₀ = C₂₀.₅₀D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.50D10	400,194
C₂₀.₅₁D₁₀ = C₈×D₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.51D10	400,5
C₂₀.₅₂D₁₀ = C₈⋊D₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.52D10	400,6
C₂₀.₅₃D₁₀ = C₂×C₂₅⋊₂C₈	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.53D10	400,9
C₂₀.₅₄D₁₀ = C₄.Dic₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200	2	C20.54D10	400,10
C₂₀.₅₅D₁₀ = C₂×C₄×D₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.55D10	400,36
C₂₀.₅₆D₁₀ = C₈×C₅⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.56D10	400,92
C₂₀.₅₇D₁₀ = C₄₀⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.57D10	400,93
C₂₀.₅₈D₁₀ = C₂×C₅²⋊₇C₈	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	400		C20.58D10	400,97
C₂₀.₅₉D₁₀ = C₂₀.₅₉D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	200		C20.59D10	400,98
C₂₀.₆₀D₁₀ = C₅×C₄₀⋊C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80	2	C20.60D10	400,78
C₂₀.₆₁D₁₀ = C₅×D₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80	2	C20.61D10	400,79
C₂₀.₆₂D₁₀ = C₅×Dic₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80	2	C20.62D10	400,80
C₂₀.₆₃D₁₀ = C₁₀×Dic₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂₀	80		C20.63D10	400,181
C₂₀.₆₄D₁₀ = D₅×C₄₀	central extension (φ=1)	80	2	C20.64D10	400,76
C₂₀.₆₅D₁₀ = C₅×C₈⋊D₅	central extension (φ=1)	80	2	C20.65D10	400,77
C₂₀.₆₆D₁₀ = C₁₀×C₅⋊₂C₈	central extension (φ=1)	80		C20.66D10	400,81
C₂₀.₆₇D₁₀ = C₅×C₄.Dic₅	central extension (φ=1)	40	2	C20.67D10	400,82
C₂₀.₆₈D₁₀ = C₅×C₄○D₂₀	central extension (φ=1)	40	2	C20.68D10	400,184

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Extensions 1→N→G→Q→1 with N=C20 and Q=D10

Extensions 1→N→G→Q→1 with N=C₂₀ and Q=D₁₀