# Extensions 1→N→G→Q→1 with N=C15 and Q=2- 1+4

Direct product G=N×Q with N=C15 and Q=2- 1+4
dρLabelID
C15×2- 1+42404C15xES-(2,2)480,1185

Semidirect products G=N:Q with N=C15 and Q=2- 1+4
extensionφ:Q→Aut NdρLabelID
C1512- 1+4 = D20.38D6φ: 2- 1+4/C2×C4C22 ⊆ Aut C152404C15:1ES-(2,2)480,1076
C1522- 1+4 = D20.39D6φ: 2- 1+4/C2×C4C22 ⊆ Aut C152404-C15:2ES-(2,2)480,1077
C1532- 1+4 = C30.C24φ: 2- 1+4/C2×C4C22 ⊆ Aut C152404C15:3ES-(2,2)480,1080
C1542- 1+4 = C15⋊2- 1+4φ: 2- 1+4/D4C22 ⊆ Aut C152408-C15:4ES-(2,2)480,1096
C1552- 1+4 = D20.29D6φ: 2- 1+4/Q8C22 ⊆ Aut C152408-C15:5ES-(2,2)480,1104
C1562- 1+4 = C30.33C24φ: 2- 1+4/Q8C22 ⊆ Aut C152408+C15:6ES-(2,2)480,1105
C1572- 1+4 = D12.29D10φ: 2- 1+4/Q8C22 ⊆ Aut C152408-C15:7ES-(2,2)480,1106
C1582- 1+4 = Q8.15D30φ: 2- 1+4/C2×Q8C2 ⊆ Aut C152404C15:8ES-(2,2)480,1174
C1592- 1+4 = C3×Q8.10D10φ: 2- 1+4/C2×Q8C2 ⊆ Aut C152404C15:9ES-(2,2)480,1144
C15102- 1+4 = C5×Q8.15D6φ: 2- 1+4/C2×Q8C2 ⊆ Aut C152404C15:10ES-(2,2)480,1159
C15112- 1+4 = D4.10D30φ: 2- 1+4/C4○D4C2 ⊆ Aut C152404-C15:11ES-(2,2)480,1177
C15122- 1+4 = C3×D4.10D10φ: 2- 1+4/C4○D4C2 ⊆ Aut C152404C15:12ES-(2,2)480,1147
C15132- 1+4 = C5×Q8○D12φ: 2- 1+4/C4○D4C2 ⊆ Aut C152404C15:13ES-(2,2)480,1162

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