Finite Group DatabasebetaFinite Group Databasebeta| order | 25216 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C4×D4×C197 ⋊ C2 |
| Sylow | C197 ⋊ #2361 |
788 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12608 |
Polycyclic presentation:
2^7,197|a^2=g,b^2=eg,d^2=e,b^a=be,c^a=cf,h^a=h^196,d^b=de,h^d=h^1963970 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25216, 7527);