Extensions 1→N→G→Q→1 with N=C15 and Q=C8.C4

Direct product G=N×Q with N=C15 and Q=C8.C4
dρLabelID
C15×C8.C42402C15xC8.C4480,211

Semidirect products G=N:Q with N=C15 and Q=C8.C4
extensionφ:Q→Aut NdρLabelID
C151(C8.C4) = D10.Dic6φ: C8.C4/C4C2×C4 ⊆ Aut C152408C15:1(C8.C4)480,237
C152(C8.C4) = D10.2Dic6φ: C8.C4/C4C2×C4 ⊆ Aut C152408C15:2(C8.C4)480,238
C153(C8.C4) = C40.Dic3φ: C8.C4/C8C4 ⊆ Aut C152404C15:3(C8.C4)480,300
C154(C8.C4) = C24.1F5φ: C8.C4/C8C4 ⊆ Aut C152404C15:4(C8.C4)480,301
C155(C8.C4) = C3×C40.C4φ: C8.C4/C8C4 ⊆ Aut C152404C15:5(C8.C4)480,275
C156(C8.C4) = C3×D10.Q8φ: C8.C4/C8C4 ⊆ Aut C152404C15:6(C8.C4)480,276
C157(C8.C4) = C60.105D4φ: C8.C4/C2×C4C22 ⊆ Aut C152404C15:7(C8.C4)480,67
C158(C8.C4) = C60.D4φ: C8.C4/C2×C4C22 ⊆ Aut C152404C15:8(C8.C4)480,68
C159(C8.C4) = C12.59D20φ: C8.C4/C2×C4C22 ⊆ Aut C152404C15:9(C8.C4)480,69
C1510(C8.C4) = C4.18D60φ: C8.C4/C2×C8C2 ⊆ Aut C152402C15:10(C8.C4)480,179
C1511(C8.C4) = C3×C40.6C4φ: C8.C4/C2×C8C2 ⊆ Aut C152402C15:11(C8.C4)480,97
C1512(C8.C4) = C5×C24.C4φ: C8.C4/C2×C8C2 ⊆ Aut C152402C15:12(C8.C4)480,138
C1513(C8.C4) = C60.210D4φ: C8.C4/M4(2)C2 ⊆ Aut C152404C15:13(C8.C4)480,182
C1514(C8.C4) = C3×C20.53D4φ: C8.C4/M4(2)C2 ⊆ Aut C152404C15:14(C8.C4)480,100
C1515(C8.C4) = C5×C12.53D4φ: C8.C4/M4(2)C2 ⊆ Aut C152404C15:15(C8.C4)480,141


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