Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=D₁₀

Direct product G=N×Q with N=C₂×C₁₀ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₂²×C₁₀		80		D5xC2^2xC10	400,219

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊₁D₁₀ = D₅×C₅⋊D₄	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂×C₁₀	40	4	(C2xC10):1D10	400,179
(C₂×C₁₀)⋊₂D₁₀ = D₁₀⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂×C₁₀	20	4+	(C2xC10):2D10	400,180
(C₂×C₁₀)⋊₃D₁₀ = D₄×C₅⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂×C₁₀	100		(C2xC10):3D10	400,195
(C₂×C₁₀)⋊₄D₁₀ = C₅×D₄×D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	40	4	(C2xC10):4D10	400,185
(C₂×C₁₀)⋊₅D₁₀ = C₂²×D₅²	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10):5D10	400,218
(C₂×C₁₀)⋊₆D₁₀ = C₁₀×C₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10):6D10	400,190
(C₂×C₁₀)⋊₇D₁₀ = C₂×C₅²⋊₇D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10):7D10	400,200
(C₂×C₁₀)⋊₈D₁₀ = C₂³×C₅⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10):8D10	400,220

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁D₁₀ = D₄×D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂×C₁₀	100	4+	(C2xC10).1D10	400,39
(C₂×C₁₀).₂D₁₀ = D₄⋊₂D₂₅	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂×C₁₀	200	4-	(C2xC10).2D10	400,40
(C₂×C₁₀).₃D₁₀ = Dic₅.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂×C₁₀	40	4	(C2xC10).3D10	400,173
(C₂×C₁₀).₄D₁₀ = D₁₀.₄D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂×C₁₀	40	4-	(C2xC10).4D10	400,174
(C₂×C₁₀).₅D₁₀ = C₂₀.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Aut C₂×C₁₀	200		(C2xC10).5D10	400,196
(C₂×C₁₀).₆D₁₀ = C₅×D₄⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	40	4	(C2xC10).6D10	400,186
(C₂×C₁₀).₇D₁₀ = Dic₅²	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).7D10	400,71
(C₂×C₁₀).₈D₁₀ = D₁₀⋊Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).8D10	400,72
(C₂×C₁₀).₉D₁₀ = C₁₀.D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10).9D10	400,73
(C₂×C₁₀).₁₀D₁₀ = Dic₅⋊Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).10D10	400,74
(C₂×C₁₀).₁₁D₁₀ = C₁₀.Dic₁₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).11D10	400,75
(C₂×C₁₀).₁₂D₁₀ = C₂×D₅×Dic₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).12D10	400,172
(C₂×C₁₀).₁₃D₁₀ = C₂×Dic₅⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10).13D10	400,175
(C₂×C₁₀).₁₄D₁₀ = C₂×C₅²⋊₂D₄	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).14D10	400,176
(C₂×C₁₀).₁₅D₁₀ = C₂×C₅⋊D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	40		(C2xC10).15D10	400,177
(C₂×C₁₀).₁₆D₁₀ = C₂×C₅²⋊₂Q₈	φ: D₁₀/D₅ → C₂ ⊆ Aut C₂×C₁₀	80		(C2xC10).16D10	400,178
(C₂×C₁₀).₁₇D₁₀ = C₅×C₄○D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	40	2	(C2xC10).17D10	400,184
(C₂×C₁₀).₁₈D₁₀ = C₄×Dic₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).18D10	400,11
(C₂×C₁₀).₁₉D₁₀ = C₅₀.D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).19D10	400,12
(C₂×C₁₀).₂₀D₁₀ = C₄⋊Dic₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).20D10	400,13
(C₂×C₁₀).₂₁D₁₀ = D₅₀⋊C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).21D10	400,14
(C₂×C₁₀).₂₂D₁₀ = C₂³.D₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).22D10	400,19
(C₂×C₁₀).₂₃D₁₀ = C₂×Dic₅₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).23D10	400,35
(C₂×C₁₀).₂₄D₁₀ = C₂×C₄×D₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).24D10	400,36
(C₂×C₁₀).₂₅D₁₀ = C₂×D₁₀₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).25D10	400,37
(C₂×C₁₀).₂₆D₁₀ = D₁₀₀⋊₅C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200	2	(C2xC10).26D10	400,38
(C₂×C₁₀).₂₇D₁₀ = C₂²×Dic₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).27D10	400,43
(C₂×C₁₀).₂₈D₁₀ = C₂×C₂₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).28D10	400,44
(C₂×C₁₀).₂₉D₁₀ = C₂³×D₂₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).29D10	400,54
(C₂×C₁₀).₃₀D₁₀ = C₄×C₅²⋊₆C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).30D10	400,99
(C₂×C₁₀).₃₁D₁₀ = C₁₀².₂₂C₂²	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).31D10	400,100
(C₂×C₁₀).₃₂D₁₀ = C₂₀⋊₃Dic₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).32D10	400,101
(C₂×C₁₀).₃₃D₁₀ = C₁₀.₁₁D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).33D10	400,102
(C₂×C₁₀).₃₄D₁₀ = C₁₀²⋊₁₁C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).34D10	400,107
(C₂×C₁₀).₃₅D₁₀ = C₂×C₅²⋊₄Q₈	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).35D10	400,191
(C₂×C₁₀).₃₆D₁₀ = C₂×C₄×C₅⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).36D10	400,192
(C₂×C₁₀).₃₇D₁₀ = C₂×C₂₀⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).37D10	400,193
(C₂×C₁₀).₃₈D₁₀ = C₂₀.₅₀D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	200		(C2xC10).38D10	400,194
(C₂×C₁₀).₃₉D₁₀ = C₂²×C₅²⋊₆C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₂×C₁₀	400		(C2xC10).39D10	400,199
(C₂×C₁₀).₄₀D₁₀ = Dic₅×C₂₀	central extension (φ=1)	80		(C2xC10).40D10	400,83
(C₂×C₁₀).₄₁D₁₀ = C₅×C₁₀.D₄	central extension (φ=1)	80		(C2xC10).41D10	400,84
(C₂×C₁₀).₄₂D₁₀ = C₅×C₄⋊Dic₅	central extension (φ=1)	80		(C2xC10).42D10	400,85
(C₂×C₁₀).₄₃D₁₀ = C₅×D₁₀⋊C₄	central extension (φ=1)	80		(C2xC10).43D10	400,86
(C₂×C₁₀).₄₄D₁₀ = C₅×C₂³.D₅	central extension (φ=1)	40		(C2xC10).44D10	400,91
(C₂×C₁₀).₄₅D₁₀ = C₁₀×Dic₁₀	central extension (φ=1)	80		(C2xC10).45D10	400,181
(C₂×C₁₀).₄₆D₁₀ = D₅×C₂×C₂₀	central extension (φ=1)	80		(C2xC10).46D10	400,182
(C₂×C₁₀).₄₇D₁₀ = C₁₀×D₂₀	central extension (φ=1)	80		(C2xC10).47D10	400,183
(C₂×C₁₀).₄₈D₁₀ = Dic₅×C₂×C₁₀	central extension (φ=1)	80		(C2xC10).48D10	400,189

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Extensions 1→N→G→Q→1 with N=C2×C10 and Q=D10

Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=D₁₀