Extensions 1→N→G→Q→1 with N=C12 and Q=C30

Direct product G=N×Q with N=C12 and Q=C30

Semidirect products G=N:Q with N=C12 and Q=C30
extensionφ:Q→Aut NdρLabelID
C121C30 = C15×D12φ: C30/C15C2 ⊆ Aut C121202C12:1C30360,97
C122C30 = S3×C60φ: C30/C15C2 ⊆ Aut C121202C12:2C30360,96
C123C30 = D4×C3×C15φ: C30/C15C2 ⊆ Aut C12180C12:3C30360,116

Non-split extensions G=N.Q with N=C12 and Q=C30
extensionφ:Q→Aut NdρLabelID
C12.1C30 = C15×Dic6φ: C30/C15C2 ⊆ Aut C121202C12.1C30360,95
C12.2C30 = C15×C3⋊C8φ: C30/C15C2 ⊆ Aut C121202C12.2C30360,34
C12.3C30 = D4×C45φ: C30/C15C2 ⊆ Aut C121802C12.3C30360,31
C12.4C30 = Q8×C45φ: C30/C15C2 ⊆ Aut C123602C12.4C30360,32
C12.5C30 = Q8×C3×C15φ: C30/C15C2 ⊆ Aut C12360C12.5C30360,117