Extensions 1→N→G→Q→1 with N=C5 and Q=C24×C4

Direct product G=N×Q with N=C5 and Q=C24×C4
dρLabelID
C24×C20320C2^4xC20320,1628

Semidirect products G=N:Q with N=C5 and Q=C24×C4
extensionφ:Q→Aut NdρLabelID
C5⋊(C24×C4) = C24×F5φ: C24×C4/C24 → C4 ⊆ Aut C580C5:(C2^4xC4)320,1638
C5⋊2(C24×C4) = D5×C23×C4φ: C24×C4/C23×C4 → C2 ⊆ Aut C5160C5:2(C2^4xC4)320,1609
C5⋊3(C24×C4) = C24×Dic5φ: C24×C4/C25 → C2 ⊆ Aut C5320C5:3(C2^4xC4)320,1626


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