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/C2C2×C4 ⊆ Aut C15308+C15:(C2^2xC4)240,195
C152(C22×C4) = C4×S3×D5φ: C22×C4/C4C22 ⊆ Aut C15604C15:2(C2^2xC4)240,135
C153(C22×C4) = C22×C3⋊F5φ: C22×C4/C22C4 ⊆ Aut C1560C15:3(C2^2xC4)240,201
C154(C22×C4) = C2×C6×F5φ: C22×C4/C22C4 ⊆ Aut C1560C15:4(C2^2xC4)240,200
C155(C22×C4) = C2×D5×Dic3φ: C22×C4/C22C22 ⊆ Aut C15120C15:5(C2^2xC4)240,139
C156(C22×C4) = C2×S3×Dic5φ: C22×C4/C22C22 ⊆ Aut C15120C15:6(C2^2xC4)240,142
C157(C22×C4) = C2×D30.C2φ: C22×C4/C22C22 ⊆ Aut C15120C15:7(C2^2xC4)240,144
C158(C22×C4) = C2×C4×D15φ: C22×C4/C2×C4C2 ⊆ Aut C15120C15:8(C2^2xC4)240,176
C159(C22×C4) = D5×C2×C12φ: C22×C4/C2×C4C2 ⊆ Aut C15120C15:9(C2^2xC4)240,156
C1510(C22×C4) = S3×C2×C20φ: C22×C4/C2×C4C2 ⊆ Aut C15120C15:10(C2^2xC4)240,166
C1511(C22×C4) = C22×Dic15φ: C22×C4/C23C2 ⊆ Aut C15240C15:11(C2^2xC4)240,183
C1512(C22×C4) = C2×C6×Dic5φ: C22×C4/C23C2 ⊆ Aut C15240C15:12(C2^2xC4)240,163
C1513(C22×C4) = Dic3×C2×C10φ: C22×C4/C23C2 ⊆ Aut C15240C15:13(C2^2xC4)240,173


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