#38785281

order	25625
automorphism	?
homology	Abelianization (H₁) = C₅×C₂₅ · Schur multiplier (H₂) = C₅

Aliases

No aliases for this group.

C₄₁ ⋊ C₂₅⋊C₂₅

50 conjugacy classes of subgroups.

μ_t(G) = 25625

Polycyclic presentation:

5^4,41|a^5=d,b^5=c,b^a=bc,e^a=e^37

1145 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25625, 24);