Extensions 1→N→G→Q→1 with N=C5xC15 and Q=C2

Direct product G=NxQ with N=C5xC15 and Q=C2
dρLabelID
C5xC30150C5xC30150,13

Semidirect products G=N:Q with N=C5xC15 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C5xC15):1C2 = C5:D15φ: C2/C1C2 ⊆ Aut C5xC1575(C5xC15):1C2150,12
(C5xC15):2C2 = C5xD15φ: C2/C1C2 ⊆ Aut C5xC15302(C5xC15):2C2150,11
(C5xC15):3C2 = D5xC15φ: C2/C1C2 ⊆ Aut C5xC15302(C5xC15):3C2150,8
(C5xC15):4C2 = C3xC5:D5φ: C2/C1C2 ⊆ Aut C5xC1575(C5xC15):4C2150,9
(C5xC15):5C2 = S3xC52φ: C2/C1C2 ⊆ Aut C5xC1575(C5xC15):5C2150,10


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