Extensions 1→N→G→Q→1 with N=C5 and Q=C3×C4.4D4

Direct product G=N×Q with N=C5 and Q=C3×C4.4D4
dρLabelID
C15×C4.4D4240C15xC4.4D4480,929

Semidirect products G=N:Q with N=C5 and Q=C3×C4.4D4
extensionφ:Q→Aut NdρLabelID
C51(C3×C4.4D4) = C3×C4.D20φ: C3×C4.4D4/C4×C12C2 ⊆ Aut C5240C5:1(C3xC4.4D4)480,668
C52(C3×C4.4D4) = C3×Dic5.5D4φ: C3×C4.4D4/C3×C22⋊C4C2 ⊆ Aut C5240C5:2(C3xC4.4D4)480,678
C53(C3×C4.4D4) = C3×C20.17D4φ: C3×C4.4D4/C6×D4C2 ⊆ Aut C5240C5:3(C3xC4.4D4)480,729
C54(C3×C4.4D4) = C3×C20.23D4φ: C3×C4.4D4/C6×Q8C2 ⊆ Aut C5240C5:4(C3xC4.4D4)480,740


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