Extensions 1→N→G→Q→1 with N=C25 and Q=M4(2)

Direct product G=N×Q with N=C25 and Q=M4(2)
dρLabelID
M4(2)×C252002M4(2)xC25400,24

Semidirect products G=N:Q with N=C25 and Q=M4(2)
extensionφ:Q→Aut NdρLabelID
C251M4(2) = C100.C4φ: M4(2)/C4C4 ⊆ Aut C252004C25:1M4(2)400,29
C252M4(2) = C25⋊M4(2)φ: M4(2)/C22C4 ⊆ Aut C252004-C25:2M4(2)400,33
C253M4(2) = C8⋊D25φ: M4(2)/C8C2 ⊆ Aut C252002C25:3M4(2)400,6
C254M4(2) = C4.Dic25φ: M4(2)/C2×C4C2 ⊆ Aut C252002C25:4M4(2)400,10


׿
×
𝔽