Extensions 1→N→G→Q→1 with N=C15 and Q=D12

Direct product G=N×Q with N=C15 and Q=D12
dρLabelID
C15×D121202C15xD12360,97

Semidirect products G=N:Q with N=C15 and Q=D12
extensionφ:Q→Aut NdρLabelID
C15⋊1D12 = C15⋊D12φ: D12/C6 → C22 ⊆ Aut C15180C15:1D12360,70
C15⋊2D12 = C3⋊D60φ: D12/C6 → C22 ⊆ Aut C15604+C15:2D12360,81
C15⋊3D12 = D30⋊S3φ: D12/C6 → C22 ⊆ Aut C15604C15:3D12360,86
C15⋊4D12 = C60⋊S3φ: D12/C12 → C2 ⊆ Aut C15180C15:4D12360,112
C15⋊5D12 = C3×D60φ: D12/C12 → C2 ⊆ Aut C151202C15:5D12360,102
C15⋊6D12 = C5×C12⋊S3φ: D12/C12 → C2 ⊆ Aut C15180C15:6D12360,107
C15⋊7D12 = D6⋊2D15φ: D12/D6 → C2 ⊆ Aut C15604+C15:7D12360,82
C15⋊8D12 = C3×C5⋊D12φ: D12/D6 → C2 ⊆ Aut C151204C15:8D12360,63
C15⋊9D12 = C5×C3⋊D12φ: D12/D6 → C2 ⊆ Aut C15604C15:9D12360,75

Non-split extensions G=N.Q with N=C15 and Q=D12
extensionφ:Q→Aut NdρLabelID
C15.D12 = C5⋊D36φ: D12/C6 → C22 ⊆ Aut C151804+C15.D12360,10
C15.2D12 = D180φ: D12/C12 → C2 ⊆ Aut C151802+C15.2D12360,27
C15.3D12 = C5×D36φ: D12/C12 → C2 ⊆ Aut C151802C15.3D12360,22

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