Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C13 ⋊ #27068 |
708 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3328 |
Polycyclic presentation:
2^8,13|a^2=e,b^2=h,c^2=eh,d^2=ef,g^2=h,b^a=be,c^a=cf,d^a=de,i^a=i^12,c^b=cg,g^b=gh,g^c=gh,i^d=i^12244 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 242796);