Extensions 1→N→G→Q→1 with N=C15 and Q=C22×C4

Direct product G=N×Q with N=C15 and Q=C22×C4
dρLabelID
C22×C60240C2^2xC60240,185

Semidirect products G=N:Q with N=C15 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C15⋊(C22×C4) = C2×S3×F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C15308+C15:(C2^2xC4)240,195
C15⋊2(C22×C4) = C4×S3×D5φ: C22×C4/C4 → C22 ⊆ Aut C15604C15:2(C2^2xC4)240,135
C15⋊3(C22×C4) = C22×C3⋊F5φ: C22×C4/C22 → C4 ⊆ Aut C1560C15:3(C2^2xC4)240,201
C15⋊4(C22×C4) = C2×C6×F5φ: C22×C4/C22 → C4 ⊆ Aut C1560C15:4(C2^2xC4)240,200
C15⋊5(C22×C4) = C2×D5×Dic3φ: C22×C4/C22 → C22 ⊆ Aut C15120C15:5(C2^2xC4)240,139
C15⋊6(C22×C4) = C2×S3×Dic5φ: C22×C4/C22 → C22 ⊆ Aut C15120C15:6(C2^2xC4)240,142
C15⋊7(C22×C4) = C2×D30.C2φ: C22×C4/C22 → C22 ⊆ Aut C15120C15:7(C2^2xC4)240,144
C15⋊8(C22×C4) = C2×C4×D15φ: C22×C4/C2×C4 → C2 ⊆ Aut C15120C15:8(C2^2xC4)240,176
C15⋊9(C22×C4) = D5×C2×C12φ: C22×C4/C2×C4 → C2 ⊆ Aut C15120C15:9(C2^2xC4)240,156
C15⋊10(C22×C4) = S3×C2×C20φ: C22×C4/C2×C4 → C2 ⊆ Aut C15120C15:10(C2^2xC4)240,166
C15⋊11(C22×C4) = C22×Dic15φ: C22×C4/C23 → C2 ⊆ Aut C15240C15:11(C2^2xC4)240,183
C15⋊12(C22×C4) = C2×C6×Dic5φ: C22×C4/C23 → C2 ⊆ Aut C15240C15:12(C2^2xC4)240,163
C15⋊13(C22×C4) = Dic3×C2×C10φ: C22×C4/C23 → C2 ⊆ Aut C15240C15:13(C2^2xC4)240,173


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