Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42 |
No aliases for this group.
| Fitting | C4×C13×C4⋊C4 ⋊ C4 |
| Sylow | C13 ⋊ #13812 |
1546 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^8,13|a^2=g,b^2=h,c^2=ef,d^2=fg,b^a=be,c^a=cf,i^a=i^5,d^b=de,i^d=i^8,i^g=i^12220 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1098289);