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Extensions 1→N→G→Q→1 with N=C6×Dic5 and Q=C4

Direct product G=N×Q with N=C6×Dic5 and Q=C4
dρLabelID
Dic5×C2×C12480Dic5xC2xC12480,715

Semidirect products G=N:Q with N=C6×Dic5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×Dic5)⋊1C4 = (C2×C6).D20φ: C4/C1 → C4 ⊆ Out C6×Dic51204(C6xDic5):1C4480,71
(C6×Dic5)⋊2C4 = C3×C23.1D10φ: C4/C1 → C4 ⊆ Out C6×Dic51204(C6xDic5):2C4480,84
(C6×Dic5)⋊3C4 = C3⋊(C23⋊F5)φ: C4/C1 → C4 ⊆ Out C6×Dic51204(C6xDic5):3C4480,316
(C6×Dic5)⋊4C4 = C3×C23⋊F5φ: C4/C1 → C4 ⊆ Out C6×Dic51204(C6xDic5):4C4480,291
(C6×Dic5)⋊5C4 = C30.24C42φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5):5C4480,70
(C6×Dic5)⋊6C4 = C2×Dic3×Dic5φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5):6C4480,603
(C6×Dic5)⋊7C4 = (C6×Dic5)⋊7C4φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5):7C4480,604
(C6×Dic5)⋊8C4 = C2×C30.Q8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5):8C4480,617
(C6×Dic5)⋊9C4 = C3×C10.10C42φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5):9C4480,109
(C6×Dic5)⋊10C4 = C3×C23.11D10φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5):10C4480,670
(C6×Dic5)⋊11C4 = C6×C10.D4φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5):11C4480,716
(C6×Dic5)⋊12C4 = D10.10D12φ: C4/C2 → C2 ⊆ Out C6×Dic5120(C6xDic5):12C4480,311
(C6×Dic5)⋊13C4 = C2×C4×C3⋊F5φ: C4/C2 → C2 ⊆ Out C6×Dic5120(C6xDic5):13C4480,1063
(C6×Dic5)⋊14C4 = C2×C60⋊C4φ: C4/C2 → C2 ⊆ Out C6×Dic5120(C6xDic5):14C4480,1064
(C6×Dic5)⋊15C4 = (C2×C12)⋊6F5φ: C4/C2 → C2 ⊆ Out C6×Dic51204(C6xDic5):15C4480,1065
(C6×Dic5)⋊16C4 = C3×D10.3Q8φ: C4/C2 → C2 ⊆ Out C6×Dic5120(C6xDic5):16C4480,286
(C6×Dic5)⋊17C4 = F5×C2×C12φ: C4/C2 → C2 ⊆ Out C6×Dic5120(C6xDic5):17C4480,1050
(C6×Dic5)⋊18C4 = C6×C4⋊F5φ: C4/C2 → C2 ⊆ Out C6×Dic5120(C6xDic5):18C4480,1051
(C6×Dic5)⋊19C4 = C3×D10.C23φ: C4/C2 → C2 ⊆ Out C6×Dic51204(C6xDic5):19C4480,1052

Non-split extensions G=N.Q with N=C6×Dic5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6×Dic5).1C4 = C12.6D20φ: C4/C1 → C4 ⊆ Out C6×Dic52404(C6xDic5).1C4480,37
(C6×Dic5).2C4 = C3×C4.12D20φ: C4/C1 → C4 ⊆ Out C6×Dic52404(C6xDic5).2C4480,102
(C6×Dic5).3C4 = (C2×C60).C4φ: C4/C1 → C4 ⊆ Out C6×Dic52404(C6xDic5).3C4480,310
(C6×Dic5).4C4 = C3×Dic5.D4φ: C4/C1 → C4 ⊆ Out C6×Dic52404(C6xDic5).4C4480,285
(C6×Dic5).5C4 = Dic5×C3⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).5C4480,25
(C6×Dic5).6C4 = C30.21C42φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).6C4480,28
(C6×Dic5).7C4 = C60.93D4φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5).7C4480,31
(C6×Dic5).8C4 = C60.13Q8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).8C4480,58
(C6×Dic5).9C4 = C2×D5×C3⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5).9C4480,357
(C6×Dic5).10C4 = D5×C4.Dic3φ: C4/C2 → C2 ⊆ Out C6×Dic51204(C6xDic5).10C4480,358
(C6×Dic5).11C4 = C2×C20.32D6φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5).11C4480,369
(C6×Dic5).12C4 = C3×C20.8Q8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).12C4480,92
(C6×Dic5).13C4 = C3×C40⋊8C4φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).13C4480,93
(C6×Dic5).14C4 = C3×D10⋊1C8φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5).14C4480,98
(C6×Dic5).15C4 = C6×C8⋊D5φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5).15C4480,693
(C6×Dic5).16C4 = C3×D5×M4(2)φ: C4/C2 → C2 ⊆ Out C6×Dic51204(C6xDic5).16C4480,699
(C6×Dic5).17C4 = C4×C15⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).17C4480,305
(C6×Dic5).18C4 = C60⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).18C4480,306
(C6×Dic5).19C4 = C30.11C42φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).19C4480,307
(C6×Dic5).20C4 = Dic5.13D12φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).20C4480,309
(C6×Dic5).21C4 = C30.22M4(2)φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5).21C4480,317
(C6×Dic5).22C4 = C22×C15⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).22C4480,1070
(C6×Dic5).23C4 = C2×C15⋊8M4(2)φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5).23C4480,1071
(C6×Dic5).24C4 = C12×C5⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).24C4480,280
(C6×Dic5).25C4 = C3×C20⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).25C4480,281
(C6×Dic5).26C4 = C3×C10.C42φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).26C4480,282
(C6×Dic5).27C4 = C3×Dic5⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).27C4480,284
(C6×Dic5).28C4 = C3×C23.2F5φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5).28C4480,292
(C6×Dic5).29C4 = C2×C6×C5⋊C8φ: C4/C2 → C2 ⊆ Out C6×Dic5480(C6xDic5).29C4480,1057
(C6×Dic5).30C4 = C6×C22.F5φ: C4/C2 → C2 ⊆ Out C6×Dic5240(C6xDic5).30C4480,1058
(C6×Dic5).31C4 = Dic5×C24φ: trivial image480(C6xDic5).31C4480,91
(C6×Dic5).32C4 = D5×C2×C24φ: trivial image240(C6xDic5).32C4480,692

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