Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C13 ⋊ #14618 |
1290 conjugacy classes of subgroups; only the 327 normal subgroups are shown.
This group has 1290 conjugacy classes of subgroups — too many to draw. Only its 327 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1664 |
Polycyclic presentation:
2^8,13|a^2=h,b^2=efg,c^2=fh,d^2=efg,b^a=be,c^a=cf,d^a=def,i^a=i^12,c^b=cg,d^b=de,i^c=i^12328 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 100178);