# Extensions 1→N→G→Q→1 with N=C15 and Q=C22×D4

Direct product G=N×Q with N=C15 and Q=C22×D4
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C15 and Q=C22×D4
extensionφ:Q→Aut NdρLabelID
C151(C22×D4) = C2×D5×D12φ: C22×D4/C2×C4C22 ⊆ Aut C15120C15:1(C2^2xD4)480,1087
C152(C22×D4) = C2×S3×D20φ: C22×D4/C2×C4C22 ⊆ Aut C15120C15:2(C2^2xD4)480,1088
C153(C22×D4) = C2×C20⋊D6φ: C22×D4/C2×C4C22 ⊆ Aut C15120C15:3(C2^2xD4)480,1089
C154(C22×D4) = S3×D4×D5φ: C22×D4/D4C22 ⊆ Aut C15608+C15:4(C2^2xD4)480,1097
C155(C22×D4) = C22×C15⋊D4φ: C22×D4/C23C22 ⊆ Aut C15240C15:5(C2^2xD4)480,1118
C156(C22×D4) = C22×C3⋊D20φ: C22×D4/C23C22 ⊆ Aut C15240C15:6(C2^2xD4)480,1119
C157(C22×D4) = C22×C5⋊D12φ: C22×D4/C23C22 ⊆ Aut C15240C15:7(C2^2xD4)480,1120
C158(C22×D4) = C2×D5×C3⋊D4φ: C22×D4/C23C22 ⊆ Aut C15120C15:8(C2^2xD4)480,1122
C159(C22×D4) = C2×S3×C5⋊D4φ: C22×D4/C23C22 ⊆ Aut C15120C15:9(C2^2xD4)480,1123
C1510(C22×D4) = C2×D10⋊D6φ: C22×D4/C23C22 ⊆ Aut C15120C15:10(C2^2xD4)480,1124
C1511(C22×D4) = C22×D60φ: C22×D4/C22×C4C2 ⊆ Aut C15240C15:11(C2^2xD4)480,1167
C1512(C22×D4) = C2×C6×D20φ: C22×D4/C22×C4C2 ⊆ Aut C15240C15:12(C2^2xD4)480,1137
C1513(C22×D4) = C2×C10×D12φ: C22×D4/C22×C4C2 ⊆ Aut C15240C15:13(C2^2xD4)480,1152
C1514(C22×D4) = C2×D4×D15φ: C22×D4/C2×D4C2 ⊆ Aut C15120C15:14(C2^2xD4)480,1169
C1515(C22×D4) = C6×D4×D5φ: C22×D4/C2×D4C2 ⊆ Aut C15120C15:15(C2^2xD4)480,1139
C1516(C22×D4) = S3×D4×C10φ: C22×D4/C2×D4C2 ⊆ Aut C15120C15:16(C2^2xD4)480,1154
C1517(C22×D4) = C22×C157D4φ: C22×D4/C24C2 ⊆ Aut C15240C15:17(C2^2xD4)480,1179
C1518(C22×D4) = C2×C6×C5⋊D4φ: C22×D4/C24C2 ⊆ Aut C15240C15:18(C2^2xD4)480,1149
C1519(C22×D4) = C2×C10×C3⋊D4φ: C22×D4/C24C2 ⊆ Aut C15240C15:19(C2^2xD4)480,1164

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