Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
4614 conjugacy classes of subgroups; only the 491 normal subgroups are shown.
This group has 4614 conjugacy classes of subgroups — too many to draw. Only its 491 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 |
|---|---|---|
| 2. C2×#11718327 | C2 | semidirect |
| 3. #13113107 | C2 | semidirect |
| 4. #13113076 | C2 | semidirect |
| 5. C13×#1446 | C2 | semidirect |
| 8. C22×#6131 | C4 | semidirect |
| 51. C22×C4×C13 | #41 | semidirect |
| 56. C22×Dic13 | #41 | semidirect |
| 63. C2×C4×D13 | C22⋊C4 | semidirect |
| 69. #1446 | D13 | semidirect |
| 175. C22×C4 | #6131 | semidirect |
| 178. C13 | #13851 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#6131 | 2 |
| C2×#11718327 | 2 |
| #13113107 | 2 |
| #13113076 | 2 |
| C13×#1446 | 2 |
| #13851 | 13 |