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+41204C15xES+(2,2)480,1184

Semidirect products G=N:Q with N=C15 and Q=2+ 1+4
extensionφ:Q→Aut NdρLabelID
C15⋊12+ 1+4 = D20⋊25D6φ: 2+ 1+4/C2×C4 → C22 ⊆ Aut C151204C15:1ES+(2,2)480,1093
C15⋊22+ 1+4 = D20⋊26D6φ: 2+ 1+4/C2×C4 → C22 ⊆ Aut C151204C15:2ES+(2,2)480,1094
C15⋊32+ 1+4 = D20⋊29D6φ: 2+ 1+4/C2×C4 → C22 ⊆ Aut C151204+C15:3ES+(2,2)480,1095
C15⋊42+ 1+4 = D20⋊13D6φ: 2+ 1+4/D4 → C22 ⊆ Aut C151208-C15:4ES+(2,2)480,1101
C15⋊52+ 1+4 = D20⋊14D6φ: 2+ 1+4/D4 → C22 ⊆ Aut C151208+C15:5ES+(2,2)480,1102
C15⋊62+ 1+4 = D12⋊14D10φ: 2+ 1+4/D4 → C22 ⊆ Aut C151208+C15:6ES+(2,2)480,1103
C15⋊72+ 1+4 = D20⋊17D6φ: 2+ 1+4/Q8 → C22 ⊆ Aut C151208+C15:7ES+(2,2)480,1111
C15⋊82+ 1+4 = C15⋊2+ 1+4φ: 2+ 1+4/C23 → C22 ⊆ Aut C151204C15:8ES+(2,2)480,1125
C15⋊92+ 1+4 = D4⋊6D30φ: 2+ 1+4/C2×D4 → C2 ⊆ Aut C151204C15:9ES+(2,2)480,1171
C15⋊102+ 1+4 = C3×D4⋊6D10φ: 2+ 1+4/C2×D4 → C2 ⊆ Aut C151204C15:10ES+(2,2)480,1141
C15⋊112+ 1+4 = C5×D4⋊6D6φ: 2+ 1+4/C2×D4 → C2 ⊆ Aut C151204C15:11ES+(2,2)480,1156
C15⋊122+ 1+4 = D4⋊8D30φ: 2+ 1+4/C4○D4 → C2 ⊆ Aut C151204+C15:12ES+(2,2)480,1176
C15⋊132+ 1+4 = C3×D4⋊8D10φ: 2+ 1+4/C4○D4 → C2 ⊆ Aut C151204C15:13ES+(2,2)480,1146
C15⋊142+ 1+4 = C5×D4○D12φ: 2+ 1+4/C4○D4 → C2 ⊆ Aut C151204C15:14ES+(2,2)480,1161


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