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Extensions 1→N→G→Q→1 with N=C2×Dic5 and Q=C12

Direct product G=N×Q with N=C2×Dic5 and Q=C12
dρLabelID
Dic5×C2×C12480Dic5xC2xC12480,715

Semidirect products G=N:Q with N=C2×Dic5 and Q=C12
extensionφ:Q→Out NdρLabelID
(C2×Dic5)⋊1C12 = C3×C23.1D10φ: C12/C3 → C4 ⊆ Out C2×Dic51204(C2xDic5):1C12480,84
(C2×Dic5)⋊2C12 = C3×C23⋊F5φ: C12/C3 → C4 ⊆ Out C2×Dic51204(C2xDic5):2C12480,291
(C2×Dic5)⋊3C12 = C3×C10.10C42φ: C12/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5):3C12480,109
(C2×Dic5)⋊4C12 = C3×C23.11D10φ: C12/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5):4C12480,670
(C2×Dic5)⋊5C12 = C6×C10.D4φ: C12/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5):5C12480,716
(C2×Dic5)⋊6C12 = C3×D10.3Q8φ: C12/C6 → C2 ⊆ Out C2×Dic5120(C2xDic5):6C12480,286
(C2×Dic5)⋊7C12 = F5×C2×C12φ: C12/C6 → C2 ⊆ Out C2×Dic5120(C2xDic5):7C12480,1050
(C2×Dic5)⋊8C12 = C6×C4⋊F5φ: C12/C6 → C2 ⊆ Out C2×Dic5120(C2xDic5):8C12480,1051
(C2×Dic5)⋊9C12 = C3×D10.C23φ: C12/C6 → C2 ⊆ Out C2×Dic51204(C2xDic5):9C12480,1052

Non-split extensions G=N.Q with N=C2×Dic5 and Q=C12
extensionφ:Q→Out NdρLabelID
(C2×Dic5).1C12 = C3×C4.12D20φ: C12/C3 → C4 ⊆ Out C2×Dic52404(C2xDic5).1C12480,102
(C2×Dic5).2C12 = C3×Dic5.D4φ: C12/C3 → C4 ⊆ Out C2×Dic52404(C2xDic5).2C12480,285
(C2×Dic5).3C12 = C3×C20.8Q8φ: C12/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).3C12480,92
(C2×Dic5).4C12 = C3×C40⋊8C4φ: C12/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).4C12480,93
(C2×Dic5).5C12 = C3×D10⋊1C8φ: C12/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).5C12480,98
(C2×Dic5).6C12 = C6×C8⋊D5φ: C12/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).6C12480,693
(C2×Dic5).7C12 = C3×D5×M4(2)φ: C12/C6 → C2 ⊆ Out C2×Dic51204(C2xDic5).7C12480,699
(C2×Dic5).8C12 = C12×C5⋊C8φ: C12/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).8C12480,280
(C2×Dic5).9C12 = C3×C20⋊C8φ: C12/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).9C12480,281
(C2×Dic5).10C12 = C3×C10.C42φ: C12/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).10C12480,282
(C2×Dic5).11C12 = C3×Dic5⋊C8φ: C12/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).11C12480,284
(C2×Dic5).12C12 = C3×C23.2F5φ: C12/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).12C12480,292
(C2×Dic5).13C12 = C2×C6×C5⋊C8φ: C12/C6 → C2 ⊆ Out C2×Dic5480(C2xDic5).13C12480,1057
(C2×Dic5).14C12 = C6×C22.F5φ: C12/C6 → C2 ⊆ Out C2×Dic5240(C2xDic5).14C12480,1058
(C2×Dic5).15C12 = Dic5×C24φ: trivial image480(C2xDic5).15C12480,91
(C2×Dic5).16C12 = D5×C2×C24φ: trivial image240(C2xDic5).16C12480,692

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