Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
540 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 540 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 |
|---|---|---|
| 2. C2×#11718108 | C2 | semidirect |
| 3. C2×#11718155 | C2 | semidirect |
| 4. #13116551 | C2 | semidirect |
| 5. #13115585 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 7. C13×#2140 | C2 | semidirect |
| 53. C13×#107 | D4 | semidirect |
| 114. #2140 | D13 | semidirect |
| 218. #107 | C22⋊D13 | semidirect |
| 275. C13 | #13413 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718812 | 2 |
| C2×#11718108 | 2 |
| C2×#11718155 | 2 |
| #13116551 | 2 |
| #13115585 | 2 |
| #13112917 | 2 |
| C13×#2140 | 2 |
| #13413 | 13 |