Extensions 1→N→G→Q→1 with N=C15 and Q=C2×D4

Direct product G=N×Q with N=C15 and Q=C2×D4
dρLabelID
D4×C30120D4xC30240,186

Semidirect products G=N:Q with N=C15 and Q=C2×D4
extensionφ:Q→Aut NdρLabelID
C15⋊1(C2×D4) = D5×D12φ: C2×D4/C4 → C22 ⊆ Aut C15604+C15:1(C2xD4)240,136
C15⋊2(C2×D4) = S3×D20φ: C2×D4/C4 → C22 ⊆ Aut C15604+C15:2(C2xD4)240,137
C15⋊3(C2×D4) = C20⋊D6φ: C2×D4/C4 → C22 ⊆ Aut C15604C15:3(C2xD4)240,138
C15⋊4(C2×D4) = C2×C15⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C15120C15:4(C2xD4)240,145
C15⋊5(C2×D4) = C2×C3⋊D20φ: C2×D4/C22 → C22 ⊆ Aut C15120C15:5(C2xD4)240,146
C15⋊6(C2×D4) = C2×C5⋊D12φ: C2×D4/C22 → C22 ⊆ Aut C15120C15:6(C2xD4)240,147
C15⋊7(C2×D4) = D5×C3⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C15604C15:7(C2xD4)240,149
C15⋊8(C2×D4) = S3×C5⋊D4φ: C2×D4/C22 → C22 ⊆ Aut C15604C15:8(C2xD4)240,150
C15⋊9(C2×D4) = D10⋊D6φ: C2×D4/C22 → C22 ⊆ Aut C15604+C15:9(C2xD4)240,151
C15⋊10(C2×D4) = C2×D60φ: C2×D4/C2×C4 → C2 ⊆ Aut C15120C15:10(C2xD4)240,177
C15⋊11(C2×D4) = C6×D20φ: C2×D4/C2×C4 → C2 ⊆ Aut C15120C15:11(C2xD4)240,157
C15⋊12(C2×D4) = C10×D12φ: C2×D4/C2×C4 → C2 ⊆ Aut C15120C15:12(C2xD4)240,167
C15⋊13(C2×D4) = D4×D15φ: C2×D4/D4 → C2 ⊆ Aut C15604+C15:13(C2xD4)240,179
C15⋊14(C2×D4) = C3×D4×D5φ: C2×D4/D4 → C2 ⊆ Aut C15604C15:14(C2xD4)240,159
C15⋊15(C2×D4) = C5×S3×D4φ: C2×D4/D4 → C2 ⊆ Aut C15604C15:15(C2xD4)240,169
C15⋊16(C2×D4) = C2×C15⋊7D4φ: C2×D4/C23 → C2 ⊆ Aut C15120C15:16(C2xD4)240,184
C15⋊17(C2×D4) = C6×C5⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C15120C15:17(C2xD4)240,164
C15⋊18(C2×D4) = C10×C3⋊D4φ: C2×D4/C23 → C2 ⊆ Aut C15120C15:18(C2xD4)240,174


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