Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
394 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 109 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×#11718086 | C2 | semidirect |
| 5. #13112942 | C2 | semidirect |
| 6. #13112937 | C2 | semidirect |
| 7. C13×#2155 | C2 | semidirect |
| 24. #11718107 | C4 | semidirect |
| 45. C13×M32 | C2×C4 | semidirect |
| 59. C2×#6090 | C2×C4 | semidirect |
| 105. #2155 | D13 | semidirect |
| 194. M32 | C4×D13 | semidirect |
| 255. C13 | #12934 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123428 | 2 |
| C2×#11718086 | 2 |
| #13116465 | 2 |
| #13114891 | 2 |
| #13112942 | 2 |
| #13112937 | 2 |
| C13×#2155 | 2 |
| #12934 | 13 |