Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
364 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 242. C13 | #10367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123221 | 2 |
| #13115812 | 2 |
| #13113401 | 2 |
| #13113399 | 2 |
| #13112696 | 2 |
| #13112668 | 2 |
| C13×#1286 | 2 |
| #10367 | 13 |