Finite Group DatabasebetaFinite Group Databasebeta| order | 24736 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#20260070 |
| Sylow | C773 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12368 |
Polycyclic presentation:
2^5,773|a^2=d,d^2=e,b^a=bc,f^a=f^7726196 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24736, 59);