Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C42 |
No aliases for this group.
| Fitting | C13×#393 ⋊ C4 |
| Sylow | C13 ⋊ #14635 |
1442 conjugacy classes of subgroups; only the 232 normal subgroups are shown.
This group has 1442 conjugacy classes of subgroups — too many to draw. Only its 232 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^8,13|a^2=h,b^2=g,c^2=g,b^a=be,c^a=cf,i^a=i^8,c^b=cg,d^b=def,d^c=de,i^h=i^12118 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1099130);