Finite Group DatabasebetaFinite Group Databasebeta| order | 23456 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C733 ⋊ C4 |
| Sylow | C733 ⋊ #99 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5864 |
Polycyclic presentation:
2^5,733|a^2=d,b^a=bc,c^a=ce,f^a=f^380,d^b=de,f^b=f^732,f^d=f^7321475 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23456, 205);