Extensions 1→N→G→Q→1 with N=C3xC15 and Q=S3

Direct product G=NxQ with N=C3xC15 and Q=S3
dρLabelID
S3xC3xC1590S3xC3xC15270,24

Semidirect products G=N:Q with N=C3xC15 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C3xC15):1S3 = He3:D5φ: S3/C1S3 ⊆ Aut C3xC15456+(C3xC15):1S3270,14
(C3xC15):2S3 = C32:D15φ: S3/C1S3 ⊆ Aut C3xC15456(C3xC15):2S3270,19
(C3xC15):3S3 = C5xC32:C6φ: S3/C1S3 ⊆ Aut C3xC15456(C3xC15):3S3270,10
(C3xC15):4S3 = C5xHe3:C2φ: S3/C1S3 ⊆ Aut C3xC15453(C3xC15):4S3270,17
(C3xC15):5S3 = C33:D5φ: S3/C3C2 ⊆ Aut C3xC15135(C3xC15):5S3270,29
(C3xC15):6S3 = C3xC3:D15φ: S3/C3C2 ⊆ Aut C3xC1590(C3xC15):6S3270,27
(C3xC15):7S3 = C32xD15φ: S3/C3C2 ⊆ Aut C3xC1590(C3xC15):7S3270,25
(C3xC15):8S3 = C15xC3:S3φ: S3/C3C2 ⊆ Aut C3xC1590(C3xC15):8S3270,26
(C3xC15):9S3 = C5xC33:C2φ: S3/C3C2 ⊆ Aut C3xC15135(C3xC15):9S3270,28

Non-split extensions G=N.Q with N=C3xC15 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C3xC15).1S3 = D45:C3φ: S3/C1S3 ⊆ Aut C3xC15456+(C3xC15).1S3270,15
(C3xC15).2S3 = C5xC9:C6φ: S3/C1S3 ⊆ Aut C3xC15456(C3xC15).2S3270,11
(C3xC15).3S3 = C3:D45φ: S3/C3C2 ⊆ Aut C3xC15135(C3xC15).3S3270,18
(C3xC15).4S3 = C3xD45φ: S3/C3C2 ⊆ Aut C3xC15902(C3xC15).4S3270,12
(C3xC15).5S3 = C15xD9φ: S3/C3C2 ⊆ Aut C3xC15902(C3xC15).5S3270,8
(C3xC15).6S3 = C5xC9:S3φ: S3/C3C2 ⊆ Aut C3xC15135(C3xC15).6S3270,16

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