Extensions 1→N→G→Q→1 with N=C2xC5:C8 and Q=C6

Direct product G=NxQ with N=C2xC5:C8 and Q=C6
dρLabelID
C2xC6xC5:C8480C2xC6xC5:C8480,1057

Semidirect products G=N:Q with N=C2xC5:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xC5:C8):1C6 = C3xD10:C8φ: C6/C3C2 ⊆ Out C2xC5:C8240(C2xC5:C8):1C6480,283
(C2xC5:C8):2C6 = C3xC23.2F5φ: C6/C3C2 ⊆ Out C2xC5:C8240(C2xC5:C8):2C6480,292
(C2xC5:C8):3C6 = C6xC4.F5φ: C6/C3C2 ⊆ Out C2xC5:C8240(C2xC5:C8):3C6480,1048
(C2xC5:C8):4C6 = C3xD4.F5φ: C6/C3C2 ⊆ Out C2xC5:C82408(C2xC5:C8):4C6480,1053
(C2xC5:C8):5C6 = C6xC22.F5φ: C6/C3C2 ⊆ Out C2xC5:C8240(C2xC5:C8):5C6480,1058
(C2xC5:C8):6C6 = C6xD5:C8φ: trivial image240(C2xC5:C8):6C6480,1047

Non-split extensions G=N.Q with N=C2xC5:C8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C2xC5:C8).1C6 = C3xC20:C8φ: C6/C3C2 ⊆ Out C2xC5:C8480(C2xC5:C8).1C6480,281
(C2xC5:C8).2C6 = C3xC10.C42φ: C6/C3C2 ⊆ Out C2xC5:C8480(C2xC5:C8).2C6480,282
(C2xC5:C8).3C6 = C3xDic5:C8φ: C6/C3C2 ⊆ Out C2xC5:C8480(C2xC5:C8).3C6480,284
(C2xC5:C8).4C6 = C12xC5:C8φ: trivial image480(C2xC5:C8).4C6480,280

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