Finite Group DatabasebetaFinite Group Databasebeta| order | 24608 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | D4×C769 ⋊ C4 |
| Sylow | C769 ⋊ #104 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6152 |
Polycyclic presentation:
2^5,769|a^2=d,c^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^62,c^b=ce,f^d=f^768974 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24608, 210);