Extensions 1→N→G→Q→1 with N=C3xC15 and Q=C8

Direct product G=NxQ with N=C3xC15 and Q=C8
dρLabelID
C3xC120360C3xC120360,38

Semidirect products G=N:Q with N=C3xC15 and Q=C8
extensionφ:Q→Aut NdρLabelID
(C3xC15):1C8 = C5xF9φ: C8/C1C8 ⊆ Aut C3xC15458(C3xC15):1C8360,123
(C3xC15):2C8 = C5:2F9φ: C8/C1C8 ⊆ Aut C3xC15458(C3xC15):2C8360,124
(C3xC15):3C8 = C5:F9φ: C8/C1C8 ⊆ Aut C3xC15458(C3xC15):3C8360,125
(C3xC15):4C8 = (C3xC6).F5φ: C8/C2C4 ⊆ Aut C3xC151204-(C3xC15):4C8360,57
(C3xC15):5C8 = C30.Dic3φ: C8/C2C4 ⊆ Aut C3xC15360(C3xC15):5C8360,54
(C3xC15):6C8 = C3xC15:C8φ: C8/C2C4 ⊆ Aut C3xC151204(C3xC15):6C8360,53
(C3xC15):7C8 = C32xC5:C8φ: C8/C2C4 ⊆ Aut C3xC15360(C3xC15):7C8360,52
(C3xC15):8C8 = C5xC32:2C8φ: C8/C2C4 ⊆ Aut C3xC151204(C3xC15):8C8360,55
(C3xC15):9C8 = (C3xC15):9C8φ: C8/C2C4 ⊆ Aut C3xC151204(C3xC15):9C8360,56
(C3xC15):10C8 = C60.S3φ: C8/C4C2 ⊆ Aut C3xC15360(C3xC15):10C8360,37
(C3xC15):11C8 = C3xC15:3C8φ: C8/C4C2 ⊆ Aut C3xC151202(C3xC15):11C8360,35
(C3xC15):12C8 = C32xC5:2C8φ: C8/C4C2 ⊆ Aut C3xC15360(C3xC15):12C8360,33
(C3xC15):13C8 = C15xC3:C8φ: C8/C4C2 ⊆ Aut C3xC151202(C3xC15):13C8360,34
(C3xC15):14C8 = C5xC32:4C8φ: C8/C4C2 ⊆ Aut C3xC15360(C3xC15):14C8360,36


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