Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 1. #13127972 | C2 | semidirect |
| 2. #13127970 | C2 | semidirect |
| 3. #13125279 | C2 | semidirect |
| 4. #13116563 | C2 | semidirect |
| 5. #13115727 | C2 | semidirect |
| 6. #13112915 | C2 | semidirect |
| 7. C13×#2143 | C2 | semidirect |
| 62. C2×Dic52 | D4 | semidirect |
| 72. C2×D104 | D4 | semidirect |
| 77. C2×C13×C16 | D4 | semidirect |
| 90. C2×#6090 | D4 | semidirect |
| 168. #2143 | D13 | semidirect |
| 315. C2×C16 | C22⋊D13 | semidirect |
| 397. C13 | #13340 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127972 | 2 |
| #13127970 | 2 |
| #13125279 | 2 |
| #13116563 | 2 |
| #13115727 | 2 |
| #13112915 | 2 |
| C13×#2143 | 2 |
| #13340 | 13 |