Extensions 1→N→G→Q→1 with N=C5 and Q=C5×D5

Direct product G=N×Q with N=C5 and Q=C5×D5
dρLabelID
D5×C5250D5xC5^2250,12

Semidirect products G=N:Q with N=C5 and Q=C5×D5
extensionφ:Q→Aut NdρLabelID
C5⋊(C5×D5) = C5×C5⋊D5φ: C5×D5/C52C2 ⊆ Aut C550C5:(C5xD5)250,13

Non-split extensions G=N.Q with N=C5 and Q=C5×D5
extensionφ:Q→Aut NdρLabelID
C5.1(C5×D5) = C5×D25φ: C5×D5/C52C2 ⊆ Aut C5502C5.1(C5xD5)250,3
C5.2(C5×D5) = C52⋊C10φ: C5×D5/C52C2 ⊆ Aut C52510+C5.2(C5xD5)250,5
C5.3(C5×D5) = C25⋊C10φ: C5×D5/C52C2 ⊆ Aut C52510+C5.3(C5xD5)250,6
C5.4(C5×D5) = D5×C25central extension (φ=1)502C5.4(C5xD5)250,4

׿
×
𝔽