Finite Group DatabasebetaFinite Group Databasebeta| order | 21664 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C677 ⋊ #108 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10832 |
Polycyclic presentation:
2^5,677|a^2=d,b^2=c,c^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^26,f^b=f^676,f^d=f^6761366 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21664, 217);