Extensions 1→N→G→Q→1 with N=C15 and Q=C30

Direct product G=N×Q with N=C15 and Q=C30
dρLabelID
C15×C30450C15xC30450,34

Semidirect products G=N:Q with N=C15 and Q=C30
extensionφ:Q→Aut NdρLabelID
C15⋊1C30 = C15×D15φ: C30/C15 → C2 ⊆ Aut C15302C15:1C30450,29
C15⋊2C30 = D5×C3×C15φ: C30/C15 → C2 ⊆ Aut C1590C15:2C30450,26
C15⋊3C30 = S3×C5×C15φ: C30/C15 → C2 ⊆ Aut C15150C15:3C30450,28

Non-split extensions G=N.Q with N=C15 and Q=C30
extensionφ:Q→Aut NdρLabelID
C15.1C30 = D5×C45φ: C30/C15 → C2 ⊆ Aut C15902C15.1C30450,14
C15.2C30 = S3×C75φ: C30/C15 → C2 ⊆ Aut C151502C15.2C30450,6

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁