Extensions 1→N→G→Q→1 with N=C₅×Dic₅ and Q=C₂²

Direct product G=N×Q with N=C₅×Dic₅ and Q=C₂²

		d	ρ	Label	ID
Dic₅×C₂×C₁₀		80		Dic5xC2xC10	400,189

Semidirect products G=N:Q with N=C₅×Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₅)⋊₁C₂² = D₅×C₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	40	4	(C5xDic5):1C2^2	400,179
(C₅×Dic₅)⋊₂C₂² = D₁₀⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	20	4+	(C5xDic5):2C2^2	400,180
(C₅×Dic₅)⋊₃C₂² = D₅×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40	4+	(C5xDic5):3C2^2	400,170
(C₅×Dic₅)⋊₄C₂² = C₂×C₅⋊D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40		(C5xDic5):4C2^2	400,177
(C₅×Dic₅)⋊₅C₂² = C₄×D₅²	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5):5C2^2	400,169
(C₅×Dic₅)⋊₆C₂² = C₂×D₅×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5):6C2^2	400,172
(C₅×Dic₅)⋊₇C₂² = C₂×Dic₅⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40		(C5xDic5):7C2^2	400,175
(C₅×Dic₅)⋊₈C₂² = C₅×D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5):8C2^2	400,185
(C₅×Dic₅)⋊₉C₂² = C₁₀×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40		(C5xDic5):9C2^2	400,190
(C₅×Dic₅)⋊₁₀C₂² = D₅×C₂×C₂₀	φ: trivial image	80		(C5xDic5):10C2^2	400,182

Non-split extensions G=N.Q with N=C₅×Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₅).₁C₂² = D₅×Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	80	4-	(C5xDic5).1C2^2	400,163
(C₅×Dic₅).₂C₂² = D₂₀⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	40	4	(C5xDic5).2C2^2	400,165
(C₅×Dic₅).₃C₂² = Dic₁₀⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	40	4	(C5xDic5).3C2^2	400,166
(C₅×Dic₅).₄C₂² = Dic₁₀⋊₅D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	40	4+	(C5xDic5).4C2^2	400,168
(C₅×Dic₅).₅C₂² = D₁₀.₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	40	4-	(C5xDic5).5C2^2	400,174
(C₅×Dic₅).₆C₂² = D₅×C₅⋊C₈	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	80	8-	(C5xDic5).6C2^2	400,120
(C₅×Dic₅).₇C₂² = Dic₅.₄F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	40	8+	(C5xDic5).7C2^2	400,121
(C₅×Dic₅).₈C₂² = D₁₀.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	80	8-	(C5xDic5).8C2^2	400,122
(C₅×Dic₅).₉C₂² = Dic₅.F₅	φ: C₂²/C₁ → C₂² ⊆ Out C₅×Dic₅	40	8+	(C5xDic5).9C2^2	400,123
(C₅×Dic₅).₁₀C₂² = C₅×D₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5).10C2^2	400,135
(C₅×Dic₅).₁₁C₂² = C₅×C₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5).11C2^2	400,136
(C₅×Dic₅).₁₂C₂² = C₁₀×C₅⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5).12C2^2	400,139
(C₅×Dic₅).₁₃C₂² = C₅×C₂².F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5).13C2^2	400,140
(C₅×Dic₅).₁₄C₂² = D₁₀.₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5).14C2^2	400,167
(C₅×Dic₅).₁₅C₂² = C₂×C₅²⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5).15C2^2	400,178
(C₅×Dic₅).₁₆C₂² = C₂₀.₁₄F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5).16C2^2	400,142
(C₅×Dic₅).₁₇C₂² = C₂₀.₁₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5).17C2^2	400,143
(C₅×Dic₅).₁₈C₂² = C₂×C₅²⋊₃C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5).18C2^2	400,146
(C₅×Dic₅).₁₉C₂² = C₁₀².C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5).19C2^2	400,147
(C₅×Dic₅).₂₀C₂² = D₂₀⋊₅D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4-	(C5xDic5).20C2^2	400,164
(C₅×Dic₅).₂₁C₂² = Dic₅.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40	4	(C5xDic5).21C2^2	400,173
(C₅×Dic₅).₂₂C₂² = C₁₀×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80		(C5xDic5).22C2^2	400,181
(C₅×Dic₅).₂₃C₂² = C₅×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	40	2	(C5xDic5).23C2^2	400,184
(C₅×Dic₅).₂₄C₂² = C₅×Q₈×D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅×Dic₅	80	4	(C5xDic5).24C2^2	400,187
(C₅×Dic₅).₂₅C₂² = C₅×D₄⋊₂D₅	φ: trivial image	40	4	(C5xDic5).25C2^2	400,186
(C₅×Dic₅).₂₆C₂² = C₅×Q₈⋊₂D₅	φ: trivial image	80	4	(C5xDic5).26C2^2	400,188

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Extensions 1→N→G→Q→1 with N=C5×Dic5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₅×Dic₅ and Q=C₂²