Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C2×C13×C22⋊Q8 ⋊ C4 |
| Sylow | C13 ⋊ #14660 |
1702 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|b^2=h,c^2=e,d^2=e,b^a=be,c^a=cf,c^b=cg,d^b=def,i^b=i^8,d^c=de,i^h=i^12136 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1099155);