Extensions 1→N→G→Q→1 with N=C25 and Q=C10

Direct product G=N×Q with N=C25 and Q=C10
dρLabelID
C25×C10320C2^5xC10320,1640

Semidirect products G=N:Q with N=C25 and Q=C10
extensionφ:Q→Aut NdρLabelID
C25⋊C10 = C22×C24⋊C5φ: C10/C2C5 ⊆ Aut C2520C2^5:C10320,1637
C252C10 = C10×C22≀C2φ: C10/C5C2 ⊆ Aut C2580C2^5:2C10320,1523
C253C10 = D4×C22×C10φ: C10/C5C2 ⊆ Aut C25160C2^5:3C10320,1629

Non-split extensions G=N.Q with N=C25 and Q=C10
extensionφ:Q→Aut NdρLabelID
C25.C10 = C4×C24⋊C5φ: C10/C2C5 ⊆ Aut C25205C2^5.C10320,1584
C25.2C10 = C5×C243C4φ: C10/C5C2 ⊆ Aut C2580C2^5.2C10320,880
C25.3C10 = C22⋊C4×C2×C10φ: C10/C5C2 ⊆ Aut C25160C2^5.3C10320,1514

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