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Extensions 1→N→G→Q→1 with N=C5 and Q=C12.23D4

Direct product G=N×Q with N=C5 and Q=C12.23D4
dρLabelID
C5×C12.23D4240C5xC12.23D4480,826

Semidirect products G=N:Q with N=C5 and Q=C12.23D4
extensionφ:Q→Aut NdρLabelID
C5⋊1(C12.23D4) = C60.47D4φ: C12.23D4/C4×Dic3 → C2 ⊆ Aut C5240C5:1(C12.23D4)480,450
C5⋊2(C12.23D4) = (C2×C20).D6φ: C12.23D4/D6⋊C4 → C2 ⊆ Aut C5240C5:2(C12.23D4)480,402
C5⋊3(C12.23D4) = C60.89D4φ: C12.23D4/C2×D12 → C2 ⊆ Aut C5240C5:3(C12.23D4)480,446
C5⋊4(C12.23D4) = C60.23D4φ: C12.23D4/C6×Q8 → C2 ⊆ Aut C5240C5:4(C12.23D4)480,912


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