Finite Group DatabasebetaFinite Group Databasebeta| order | 27616 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C863 ⋊ #106 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 27616 |
Polycyclic presentation:
2^5,863|a^2=d,b^2=c,c^2=e,b^a=bc,c^a=ce,f^b=f^8624324 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27616, 77);