# Extensions 1→N→G→Q→1 with N=C15 and Q=C23×C4

Direct product G=N×Q with N=C15 and Q=C23×C4
dρLabelID
C23×C60480C2^3xC60480,1180

Semidirect products G=N:Q with N=C15 and Q=C23×C4
extensionφ:Q→Aut NdρLabelID
C15⋊(C23×C4) = C22×S3×F5φ: C23×C4/C22C2×C4 ⊆ Aut C1560C15:(C2^3xC4)480,1197
C152(C23×C4) = S3×C2×C4×D5φ: C23×C4/C2×C4C22 ⊆ Aut C15120C15:2(C2^3xC4)480,1086
C153(C23×C4) = C23×C3⋊F5φ: C23×C4/C23C4 ⊆ Aut C15120C15:3(C2^3xC4)480,1206
C154(C23×C4) = F5×C22×C6φ: C23×C4/C23C4 ⊆ Aut C15120C15:4(C2^3xC4)480,1205
C155(C23×C4) = C22×D5×Dic3φ: C23×C4/C23C22 ⊆ Aut C15240C15:5(C2^3xC4)480,1112
C156(C23×C4) = C22×S3×Dic5φ: C23×C4/C23C22 ⊆ Aut C15240C15:6(C2^3xC4)480,1115
C157(C23×C4) = C22×D30.C2φ: C23×C4/C23C22 ⊆ Aut C15240C15:7(C2^3xC4)480,1117
C158(C23×C4) = C22×C4×D15φ: C23×C4/C22×C4C2 ⊆ Aut C15240C15:8(C2^3xC4)480,1166
C159(C23×C4) = D5×C22×C12φ: C23×C4/C22×C4C2 ⊆ Aut C15240C15:9(C2^3xC4)480,1136
C1510(C23×C4) = S3×C22×C20φ: C23×C4/C22×C4C2 ⊆ Aut C15240C15:10(C2^3xC4)480,1151
C1511(C23×C4) = C23×Dic15φ: C23×C4/C24C2 ⊆ Aut C15480C15:11(C2^3xC4)480,1178
C1512(C23×C4) = Dic5×C22×C6φ: C23×C4/C24C2 ⊆ Aut C15480C15:12(C2^3xC4)480,1148
C1513(C23×C4) = Dic3×C22×C10φ: C23×C4/C24C2 ⊆ Aut C15480C15:13(C2^3xC4)480,1163

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