#49185652

order	38125
automorphism	?
homology	Abelianization (H₁) = C₅×C₂₅ · Schur multiplier (H₂) = C₅

Aliases

No aliases for this group.

C₆₁ ⋊ C₂₅⋊C₂₅

50 conjugacy classes of subgroups.

μ_t(G) = 38125

Polycyclic presentation:

5^4,61|a^5=d,b^5=c,b^a=bc,e^a=e^20

1645 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(38125, 22);