Extensions 1→N→G→Q→1 with N=C5 and Q=C4.6S4

Direct product G=N×Q with N=C5 and Q=C4.6S4
dρLabelID
C5×C4.6S4802C5xC4.6S4480,1020

Semidirect products G=N:Q with N=C5 and Q=C4.6S4
extensionφ:Q→Aut NdρLabelID
C51(C4.6S4) = Dic5.7S4φ: C4.6S4/CSU2(𝔽3)C2 ⊆ Aut C5804+C5:1(C4.6S4)480,969
C52(C4.6S4) = Dic5.6S4φ: C4.6S4/GL2(𝔽3)C2 ⊆ Aut C5804C5:2(C4.6S4)480,968
C53(C4.6S4) = C20.6S4φ: C4.6S4/C4.A4C2 ⊆ Aut C5804C5:3(C4.6S4)480,1031


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