# Extensions 1→N→G→Q→1 with N=C3×C15 and Q=C23

Direct product G=N×Q with N=C3×C15 and Q=C23
dρLabelID
C2×C6×C30360C2xC6xC30360,162

Semidirect products G=N:Q with N=C3×C15 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C3×C15)⋊C23 = S32×D5φ: C23/C1C23 ⊆ Aut C3×C15308+(C3xC15):C2^3360,137
(C3×C15)⋊2C23 = S3×C6×D5φ: C23/C2C22 ⊆ Aut C3×C15604(C3xC15):2C2^3360,151
(C3×C15)⋊3C23 = C2×D5×C3⋊S3φ: C23/C2C22 ⊆ Aut C3×C1590(C3xC15):3C2^3360,152
(C3×C15)⋊4C23 = C2×S3×D15φ: C23/C2C22 ⊆ Aut C3×C15604+(C3xC15):4C2^3360,154
(C3×C15)⋊5C23 = C2×D15⋊S3φ: C23/C2C22 ⊆ Aut C3×C15604(C3xC15):5C2^3360,155
(C3×C15)⋊6C23 = S32×C10φ: C23/C2C22 ⊆ Aut C3×C15604(C3xC15):6C2^3360,153
(C3×C15)⋊7C23 = C22×C3⋊D15φ: C23/C22C2 ⊆ Aut C3×C15180(C3xC15):7C2^3360,161
(C3×C15)⋊8C23 = C2×C6×D15φ: C23/C22C2 ⊆ Aut C3×C15120(C3xC15):8C2^3360,159
(C3×C15)⋊9C23 = D5×C62φ: C23/C22C2 ⊆ Aut C3×C15180(C3xC15):9C2^3360,157
(C3×C15)⋊10C23 = S3×C2×C30φ: C23/C22C2 ⊆ Aut C3×C15120(C3xC15):10C2^3360,158
(C3×C15)⋊11C23 = C3⋊S3×C2×C10φ: C23/C22C2 ⊆ Aut C3×C15180(C3xC15):11C2^3360,160

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