Finite Group DatabasebetaFinite Group Databasebeta| order | 22592 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C353 ⋊ #346 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5648 |
Polycyclic presentation:
2^6,353|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bf,g^a=g^283,g^b=g^42,g^c=g^311,g^d=g^352,g^e=g^352392 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22592, 1644);