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Extensions 1→N→G→Q→1 with N=C2×C15⋊C8 and Q=C2

Direct product G=N×Q with N=C2×C15⋊C8 and Q=C2
dρLabelID
C22×C15⋊C8480C2^2xC15:C8480,1070

Semidirect products G=N:Q with N=C2×C15⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C15⋊C8)⋊1C2 = Dic5.22D12φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):1C2480,246
(C2×C15⋊C8)⋊2C2 = D30⋊C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):2C2480,247
(C2×C15⋊C8)⋊3C2 = C2×S3×C5⋊C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):3C2480,1002
(C2×C15⋊C8)⋊4C2 = D15⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C2×C15⋊C82408(C2xC15:C8):4C2480,1005
(C2×C15⋊C8)⋊5C2 = C2×D15⋊C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):5C2480,1006
(C2×C15⋊C8)⋊6C2 = C2×D6.F5φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):6C2480,1008
(C2×C15⋊C8)⋊7C2 = C2×Dic3.F5φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):7C2480,1009
(C2×C15⋊C8)⋊8C2 = C30.7M4(2)φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):8C2480,308
(C2×C15⋊C8)⋊9C2 = C30.22M4(2)φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):9C2480,317
(C2×C15⋊C8)⋊10C2 = C2×C12.F5φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):10C2480,1061
(C2×C15⋊C8)⋊11C2 = Dic10.Dic3φ: C2/C1 → C2 ⊆ Out C2×C15⋊C82408(C2xC15:C8):11C2480,1066
(C2×C15⋊C8)⋊12C2 = C2×C15⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8240(C2xC15:C8):12C2480,1071
(C2×C15⋊C8)⋊13C2 = C2×C60.C4φ: trivial image240(C2xC15:C8):13C2480,1060

Non-split extensions G=N.Q with N=C2×C15⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C15⋊C8).1C2 = Dic3×C5⋊C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8480(C2xC15:C8).1C2480,244
(C2×C15⋊C8).2C2 = C30.M4(2)φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8480(C2xC15:C8).2C2480,245
(C2×C15⋊C8).3C2 = C30.4M4(2)φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8480(C2xC15:C8).3C2480,252
(C2×C15⋊C8).4C2 = Dic15⋊C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8480(C2xC15:C8).4C2480,253
(C2×C15⋊C8).5C2 = C60⋊C8φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8480(C2xC15:C8).5C2480,306
(C2×C15⋊C8).6C2 = C30.11C42φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8480(C2xC15:C8).6C2480,307
(C2×C15⋊C8).7C2 = Dic5.13D12φ: C2/C1 → C2 ⊆ Out C2×C15⋊C8480(C2xC15:C8).7C2480,309
(C2×C15⋊C8).8C2 = C4×C15⋊C8φ: trivial image480(C2xC15:C8).8C2480,305

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