Finite Group DatabasebetaFinite Group Databasebeta| order | 24352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C4×C761 ⋊ C4 |
| Sylow | C761 ⋊ #99 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6088 |
Polycyclic presentation:
2^5,761|a^2=d,b^a=bc,c^a=ce,f^a=f^39,d^b=de,f^b=f^760,f^d=f^7601531 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24352, 205);