Finite Group DatabasebetaFinite Group Databasebeta| order | 27584 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C431 ⋊ #533 |
222 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13792 |
Polycyclic presentation:
2^6,431|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^c=g^4304328 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27584, 1102);