Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
568 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13127970 | C2 | semidirect |
| 2. #13124418 | C2 | semidirect |
| 3. #13124413 | C2 | semidirect |
| 4. #13116573 | C2 | semidirect |
| 5. #13116446 | C2 | semidirect |
| 6. #13112937 | C2 | semidirect |
| 7. C13×#2145 | C2 | semidirect |
| 40. C2×C13×Q16 | D4 | semidirect |
| 42. C2×C13×D8 | D4 | semidirect |
| 52. C2×Dic52 | D4 | semidirect |
| 57. C2×D104 | D4 | semidirect |
| 74. C13×#106 | D4 | semidirect |
| 82. #88057 | D4 | semidirect |
| 85. C2×#6090 | D4 | semidirect |
| 159. #2145 | D13 | semidirect |
| 270. C2×Q16 | D52 | semidirect |
| 274. C2×D8 | D52 | semidirect |
| 308. #106 | C22⋊D13 | semidirect |
| 386. C13 | #13309 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| #13124418 | 2 |
| #13124413 | 2 |
| #13116573 | 2 |
| #13116446 | 2 |
| #13112937 | 2 |
| C13×#2145 | 2 |
| #13309 | 13 |