Finite Group DatabasebetaFinite Group Databasebeta| order | 37568 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C587 ⋊ #322 |
66 conjugacy classes of subgroups.
| transitive degree | μt(G) = 37568 |
Polycyclic presentation:
2^6,587|a^2=c,b^2=d,c^2=e,d^2=f,b^a=be,g^a=g^5869416 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(37568, 271);