Extensions 1→N→G→Q→1 with N=D₄×C₃₀ and Q=C₂

Direct product G=N×Q with N=D₄×C₃₀ and Q=C₂

		d	ρ	Label	ID
D₄×C₂×C₃₀		240		D4xC2xC30	480,1181

Semidirect products G=N:Q with N=D₄×C₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃₀)⋊₁C₂ = C₂×D₄⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):1C2	480,896
(D₄×C₃₀)⋊₂C₂ = D₄.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30):2C2	480,897
(D₄×C₃₀)⋊₃C₂ = C₆₀⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):3C2	480,903
(D₄×C₃₀)⋊₄C₂ = C₆₀⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):4C2	480,905
(D₄×C₃₀)⋊₅C₂ = C₂×D₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120		(D4xC30):5C2	480,1169
(D₄×C₃₀)⋊₆C₂ = C₂×D₄⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):6C2	480,1170
(D₄×C₃₀)⋊₇C₂ = D₄⋊₆D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30):7C2	480,1171
(D₄×C₃₀)⋊₈C₂ = C₆×D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):8C2	480,724
(D₄×C₃₀)⋊₉C₂ = C₃×D₄.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30):9C2	480,725
(D₄×C₃₀)⋊₁₀C₂ = C₃×C₂₀⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):10C2	480,731
(D₄×C₃₀)⋊₁₁C₂ = C₃×C₂₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):11C2	480,733
(D₄×C₃₀)⋊₁₂C₂ = C₆×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120		(D4xC30):12C2	480,1139
(D₄×C₃₀)⋊₁₃C₂ = C₆×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):13C2	480,1140
(D₄×C₃₀)⋊₁₄C₂ = C₃×D₄⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30):14C2	480,1141
(D₄×C₃₀)⋊₁₅C₂ = C₁₀×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):15C2	480,810
(D₄×C₃₀)⋊₁₆C₂ = C₅×D₁₂⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30):16C2	480,811
(D₄×C₃₀)⋊₁₇C₂ = C₅×D₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):17C2	480,817
(D₄×C₃₀)⋊₁₈C₂ = C₅×C₁₂⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):18C2	480,819
(D₄×C₃₀)⋊₁₉C₂ = S₃×D₄×C₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120		(D4xC30):19C2	480,1154
(D₄×C₃₀)⋊₂₀C₂ = C₁₀×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):20C2	480,1155
(D₄×C₃₀)⋊₂₁C₂ = C₅×D₄⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30):21C2	480,1156
(D₄×C₃₀)⋊₂₂C₂ = C₃×C₂³⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120		(D4xC30):22C2	480,730
(D₄×C₃₀)⋊₂₃C₂ = C₃×Dic₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):23C2	480,732
(D₄×C₃₀)⋊₂₄C₂ = C₅×C₂³⋊₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120		(D4xC30):24C2	480,816
(D₄×C₃₀)⋊₂₅C₂ = C₅×C₂³.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):25C2	480,818
(D₄×C₃₀)⋊₂₆C₂ = D₃₀⋊₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120		(D4xC30):26C2	480,902
(D₄×C₃₀)⋊₂₇C₂ = Dic₁₅⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):27C2	480,904
(D₄×C₃₀)⋊₂₈C₂ = C₁₅×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120		(D4xC30):28C2	480,925
(D₄×C₃₀)⋊₂₉C₂ = C₁₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):29C2	480,926
(D₄×C₃₀)⋊₃₀C₂ = C₁₅×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):30C2	480,932
(D₄×C₃₀)⋊₃₁C₂ = D₈×C₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30):31C2	480,937
(D₄×C₃₀)⋊₃₂C₂ = C₁₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30):32C2	480,941
(D₄×C₃₀)⋊₃₃C₂ = C₁₅×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30):33C2	480,1184
(D₄×C₃₀)⋊₃₄C₂ = C₄○D₄×C₃₀	φ: trivial image	240		(D4xC30):34C2	480,1183

Non-split extensions G=N.Q with N=D₄×C₃₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃₀).₁C₂ = D₄⋊Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).1C2	480,192
(D₄×C₃₀).₂C₂ = C₆₀.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30).2C2	480,193
(D₄×C₃₀).₃C₂ = C₂×D₄.D₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).3C2	480,898
(D₄×C₃₀).₄C₂ = D₄×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).4C2	480,899
(D₄×C₃₀).₅C₂ = C₆₀.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).5C2	480,901
(D₄×C₃₀).₆C₂ = C₃×D₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).6C2	480,110
(D₄×C₃₀).₇C₂ = C₃×C₂₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30).7C2	480,111
(D₄×C₃₀).₈C₂ = C₆×D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).8C2	480,726
(D₄×C₃₀).₉C₂ = C₃×D₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).9C2	480,727
(D₄×C₃₀).₁₀C₂ = C₃×C₂₀.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).10C2	480,729
(D₄×C₃₀).₁₁C₂ = C₅×D₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).11C2	480,151
(D₄×C₃₀).₁₂C₂ = C₅×C₁₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30).12C2	480,152
(D₄×C₃₀).₁₃C₂ = C₁₀×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).13C2	480,812
(D₄×C₃₀).₁₄C₂ = C₅×D₄×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).14C2	480,813
(D₄×C₃₀).₁₅C₂ = C₅×C₂³.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).15C2	480,815
(D₄×C₃₀).₁₆C₂ = C₃×C₂³⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30).16C2	480,112
(D₄×C₃₀).₁₇C₂ = C₅×C₂³.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30).17C2	480,153
(D₄×C₃₀).₁₈C₂ = C₂³.₇D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30).18C2	480,194
(D₄×C₃₀).₁₉C₂ = C₁₅×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30).19C2	480,202
(D₄×C₃₀).₂₀C₂ = C₁₅×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	120	4	(D4xC30).20C2	480,203
(D₄×C₃₀).₂₁C₂ = C₁₅×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).21C2	480,205
(D₄×C₃₀).₂₂C₂ = C₃×C₂³.₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).22C2	480,728
(D₄×C₃₀).₂₃C₂ = C₅×C₂³.₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).23C2	480,814
(D₄×C₃₀).₂₄C₂ = C₂³.₂₂D₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).24C2	480,900
(D₄×C₃₀).₂₅C₂ = C₁₅×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).25C2	480,928
(D₄×C₃₀).₂₆C₂ = C₁₅×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).26C2	480,929
(D₄×C₃₀).₂₇C₂ = SD₁₆×C₃₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃₀	240		(D4xC30).27C2	480,938
(D₄×C₃₀).₂₈C₂ = D₄×C₆₀	φ: trivial image	240		(D4xC30).28C2	480,923

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Extensions 1→N→G→Q→1 with N=D4×C30 and Q=C2

Extensions 1→N→G→Q→1 with N=D₄×C₃₀ and Q=C₂