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Extensions 1→N→G→Q→1 with N=C6×C5⋊C8 and Q=C2

Direct product G=N×Q with N=C6×C5⋊C8 and Q=C2
dρLabelID
C2×C6×C5⋊C8480C2xC6xC5:C8480,1057

Semidirect products G=N:Q with N=C6×C5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C5⋊C8)⋊1C2 = Dic5.22D12φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):1C2480,246
(C6×C5⋊C8)⋊2C2 = D30⋊C8φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):2C2480,247
(C6×C5⋊C8)⋊3C2 = C2×S3×C5⋊C8φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):3C2480,1002
(C6×C5⋊C8)⋊4C2 = C5⋊C8.D6φ: C2/C1 → C2 ⊆ Out C6×C5⋊C82408(C6xC5:C8):4C2480,1003
(C6×C5⋊C8)⋊5C2 = C2×D15⋊C8φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):5C2480,1006
(C6×C5⋊C8)⋊6C2 = C2×D6.F5φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):6C2480,1008
(C6×C5⋊C8)⋊7C2 = C2×Dic3.F5φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):7C2480,1009
(C6×C5⋊C8)⋊8C2 = C3×D10⋊C8φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):8C2480,283
(C6×C5⋊C8)⋊9C2 = C3×C23.2F5φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):9C2480,292
(C6×C5⋊C8)⋊10C2 = C6×C4.F5φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):10C2480,1048
(C6×C5⋊C8)⋊11C2 = C3×D4.F5φ: C2/C1 → C2 ⊆ Out C6×C5⋊C82408(C6xC5:C8):11C2480,1053
(C6×C5⋊C8)⋊12C2 = C6×C22.F5φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8240(C6xC5:C8):12C2480,1058
(C6×C5⋊C8)⋊13C2 = C6×D5⋊C8φ: trivial image240(C6xC5:C8):13C2480,1047

Non-split extensions G=N.Q with N=C6×C5⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×C5⋊C8).1C2 = Dic3×C5⋊C8φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8480(C6xC5:C8).1C2480,244
(C6×C5⋊C8).2C2 = C30.M4(2)φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8480(C6xC5:C8).2C2480,245
(C6×C5⋊C8).3C2 = C30.4M4(2)φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8480(C6xC5:C8).3C2480,252
(C6×C5⋊C8).4C2 = Dic15⋊C8φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8480(C6xC5:C8).4C2480,253
(C6×C5⋊C8).5C2 = C3×C20⋊C8φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8480(C6xC5:C8).5C2480,281
(C6×C5⋊C8).6C2 = C3×C10.C42φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8480(C6xC5:C8).6C2480,282
(C6×C5⋊C8).7C2 = C3×Dic5⋊C8φ: C2/C1 → C2 ⊆ Out C6×C5⋊C8480(C6xC5:C8).7C2480,284
(C6×C5⋊C8).8C2 = C12×C5⋊C8φ: trivial image480(C6xC5:C8).8C2480,280

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