Finite Group DatabasebetaFinite Group Databasebeta| order | 23456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | Q8×C733 ⋊ C4 |
| Sylow | C733 ⋊ #103 |
42 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5864 |
Polycyclic presentation:
2^5,733|a^2=d,b^2=e,c^2=e,b^a=bc,c^a=ce,f^a=f^380,c^b=ce,f^d=f^732929 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23456, 209);