Extensions 1→N→G→Q→1 with N=C5×C25 and Q=C4

Direct product G=N×Q with N=C5×C25 and Q=C4
dρLabelID
C5×C100500C5xC100500,12

Semidirect products G=N:Q with N=C5×C25 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C5×C25)⋊1C4 = F5×C25φ: C4/C1C4 ⊆ Aut C5×C251004(C5xC25):1C4500,15
(C5×C25)⋊2C4 = D5.D25φ: C4/C1C4 ⊆ Aut C5×C251004(C5xC25):2C4500,19
(C5×C25)⋊3C4 = C5×C25⋊C4φ: C4/C1C4 ⊆ Aut C5×C251004(C5xC25):3C4500,16
(C5×C25)⋊4C4 = D25.D5φ: C4/C1C4 ⊆ Aut C5×C251004(C5xC25):4C4500,20
(C5×C25)⋊5C4 = C25⋊F5φ: C4/C1C4 ⊆ Aut C5×C25125(C5xC25):5C4500,22
(C5×C25)⋊6C4 = C252F5φ: C4/C1C4 ⊆ Aut C5×C25504+(C5xC25):6C4500,24
(C5×C25)⋊7C4 = Dic5×C25φ: C4/C2C2 ⊆ Aut C5×C251002(C5xC25):7C4500,7
(C5×C25)⋊8C4 = C5×Dic25φ: C4/C2C2 ⊆ Aut C5×C251002(C5xC25):8C4500,6
(C5×C25)⋊9C4 = C50.D5φ: C4/C2C2 ⊆ Aut C5×C25500(C5xC25):9C4500,10


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