Finite Group DatabasebetaFinite Group Databasebeta| order | 22592 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Fitting | C8×C353 ⋊ C8 |
| Sylow | C353 ⋊ #322 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2824 |
Polycyclic presentation:
2^6,353|a^2=c,b^2=d,c^2=e,d^2=f,b^a=be,g^b=g^283,g^d=g^311,g^f=g^352392 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22592, 1633);