Extensions 1→N→G→Q→1 with N=C5xC15 and Q=C6

Direct product G=NxQ with N=C5xC15 and Q=C6
dρLabelID
C15xC30450C15xC30450,34

Semidirect products G=N:Q with N=C5xC15 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C5xC15):1C6 = C5:D15:C3φ: C6/C1C6 ⊆ Aut C5xC15456+(C5xC15):1C6450,24
(C5xC15):2C6 = C3xC52:C6φ: C6/C1C6 ⊆ Aut C5xC15456(C5xC15):2C6450,22
(C5xC15):3C6 = S3xC52:C3φ: C6/C1C6 ⊆ Aut C5xC15456(C5xC15):3C6450,23
(C5xC15):4C6 = C6xC52:C3φ: C6/C2C3 ⊆ Aut C5xC15903(C5xC15):4C6450,25
(C5xC15):5C6 = C3xC5:D15φ: C6/C3C2 ⊆ Aut C5xC15150(C5xC15):5C6450,30
(C5xC15):6C6 = C15xD15φ: C6/C3C2 ⊆ Aut C5xC15302(C5xC15):6C6450,29
(C5xC15):7C6 = D5xC3xC15φ: C6/C3C2 ⊆ Aut C5xC1590(C5xC15):7C6450,26
(C5xC15):8C6 = C32xC5:D5φ: C6/C3C2 ⊆ Aut C5xC15225(C5xC15):8C6450,27
(C5xC15):9C6 = S3xC5xC15φ: C6/C3C2 ⊆ Aut C5xC15150(C5xC15):9C6450,28

Non-split extensions G=N.Q with N=C5xC15 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C5xC15).C6 = C52:C18φ: C6/C1C6 ⊆ Aut C5xC15456(C5xC15).C6450,12
(C5xC15).2C6 = C2xC52:C9φ: C6/C2C3 ⊆ Aut C5xC15903(C5xC15).2C6450,13
(C5xC15).3C6 = D5xC45φ: C6/C3C2 ⊆ Aut C5xC15902(C5xC15).3C6450,14
(C5xC15).4C6 = C9xC5:D5φ: C6/C3C2 ⊆ Aut C5xC15225(C5xC15).4C6450,15

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