Finite Group DatabasebetaFinite Group Databasebeta| order | 25216 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #444×C197 ⋊ C2 |
| Sylow | C197 ⋊ #2956 |
458 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3152 |
Polycyclic presentation:
2^7,197|a^2=f,c^2=f,e^2=g,f^2=g,b^a=be,e^a=eg,e^b=eg,h^b=h^196,d^c=dg,h^d=h^1962200 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25216, 13418);