Extensions 1→N→G→Q→1 with N=C6xC5:C8 and Q=C2

Direct product G=NxQ with N=C6xC5:C8 and Q=C2
dρLabelID
C2xC6xC5:C8480C2xC6xC5:C8480,1057

Semidirect products G=N:Q with N=C6xC5:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xC5:C8):1C2 = Dic5.22D12φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):1C2480,246
(C6xC5:C8):2C2 = D30:C8φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):2C2480,247
(C6xC5:C8):3C2 = C2xS3xC5:C8φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):3C2480,1002
(C6xC5:C8):4C2 = C5:C8.D6φ: C2/C1C2 ⊆ Out C6xC5:C82408(C6xC5:C8):4C2480,1003
(C6xC5:C8):5C2 = C2xD15:C8φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):5C2480,1006
(C6xC5:C8):6C2 = C2xD6.F5φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):6C2480,1008
(C6xC5:C8):7C2 = C2xDic3.F5φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):7C2480,1009
(C6xC5:C8):8C2 = C3xD10:C8φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):8C2480,283
(C6xC5:C8):9C2 = C3xC23.2F5φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):9C2480,292
(C6xC5:C8):10C2 = C6xC4.F5φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):10C2480,1048
(C6xC5:C8):11C2 = C3xD4.F5φ: C2/C1C2 ⊆ Out C6xC5:C82408(C6xC5:C8):11C2480,1053
(C6xC5:C8):12C2 = C6xC22.F5φ: C2/C1C2 ⊆ Out C6xC5:C8240(C6xC5:C8):12C2480,1058
(C6xC5:C8):13C2 = C6xD5:C8φ: trivial image240(C6xC5:C8):13C2480,1047

Non-split extensions G=N.Q with N=C6xC5:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6xC5:C8).1C2 = Dic3xC5:C8φ: C2/C1C2 ⊆ Out C6xC5:C8480(C6xC5:C8).1C2480,244
(C6xC5:C8).2C2 = C30.M4(2)φ: C2/C1C2 ⊆ Out C6xC5:C8480(C6xC5:C8).2C2480,245
(C6xC5:C8).3C2 = C30.4M4(2)φ: C2/C1C2 ⊆ Out C6xC5:C8480(C6xC5:C8).3C2480,252
(C6xC5:C8).4C2 = Dic15:C8φ: C2/C1C2 ⊆ Out C6xC5:C8480(C6xC5:C8).4C2480,253
(C6xC5:C8).5C2 = C3xC20:C8φ: C2/C1C2 ⊆ Out C6xC5:C8480(C6xC5:C8).5C2480,281
(C6xC5:C8).6C2 = C3xC10.C42φ: C2/C1C2 ⊆ Out C6xC5:C8480(C6xC5:C8).6C2480,282
(C6xC5:C8).7C2 = C3xDic5:C8φ: C2/C1C2 ⊆ Out C6xC5:C8480(C6xC5:C8).7C2480,284
(C6xC5:C8).8C2 = C12xC5:C8φ: trivial image480(C6xC5:C8).8C2480,280

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