Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
604 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#11718808 | C2 | semidirect |
| 2. #13124445 | C2 | semidirect |
| 3. C2×#11718080 | C2 | semidirect |
| 4. #13116552 | C2 | semidirect |
| 5. C2×#11718145 | C2 | semidirect |
| 6. #13112943 | C2 | semidirect |
| 7. C2×C13×#469 | C2 | semidirect |
| 40. C2×C13×D8 | D4 | semidirect |
| 59. C2×Dic52 | D4 | semidirect |
| 64. C2×D104 | D4 | semidirect |
| 67. C13×#106 | D4 | semidirect |
| 72. #88058 | D4 | semidirect |
| 78. #88052 | D4 | semidirect |
| 146. C2×#469 | D13 | semidirect |
| 260. C2×D8 | C22⋊D13 | semidirect |
| 290. #106 | C22⋊D13 | semidirect |
| 363. C13 | #13316 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| #13124445 | 2 |
| C2×#11718080 | 2 |
| #13116552 | 2 |
| C2×#11718145 | 2 |
| #13112943 | 2 |
| C2×C13×#469 | 2 |
| #13316 | 13 |