Extensions 1→N→G→Q→1 with N=C5xC15 and Q=C22

Direct product G=NxQ with N=C5xC15 and Q=C22
dρLabelID
C10xC30300C10xC30300,49

Semidirect products G=N:Q with N=C5xC15 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C5xC15):1C22 = C5xS3xD5φ: C22/C1C22 ⊆ Aut C5xC15304(C5xC15):1C2^2300,37
(C5xC15):2C22 = S3xC5:D5φ: C22/C1C22 ⊆ Aut C5xC1575(C5xC15):2C2^2300,38
(C5xC15):3C22 = D5xD15φ: C22/C1C22 ⊆ Aut C5xC15304+(C5xC15):3C2^2300,39
(C5xC15):4C22 = D15:D5φ: C22/C1C22 ⊆ Aut C5xC15304(C5xC15):4C2^2300,40
(C5xC15):5C22 = C3xD52φ: C22/C1C22 ⊆ Aut C5xC15304(C5xC15):5C2^2300,36
(C5xC15):6C22 = C2xC5:D15φ: C22/C2C2 ⊆ Aut C5xC15150(C5xC15):6C2^2300,48
(C5xC15):7C22 = C10xD15φ: C22/C2C2 ⊆ Aut C5xC15602(C5xC15):7C2^2300,47
(C5xC15):8C22 = D5xC30φ: C22/C2C2 ⊆ Aut C5xC15602(C5xC15):8C2^2300,44
(C5xC15):9C22 = C6xC5:D5φ: C22/C2C2 ⊆ Aut C5xC15150(C5xC15):9C2^2300,45
(C5xC15):10C22 = S3xC5xC10φ: C22/C2C2 ⊆ Aut C5xC15150(C5xC15):10C2^2300,46


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