Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 84 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. D13⋊#365 | C2 | semidirect |
| 4. #13130939 | C2 | semidirect |
| 5. #13129900 | C2 | semidirect |
| 6. #13129879 | C2 | semidirect |
| 27. C13×#360 | C4 | semidirect |
| 28. #11718158 | C4 | semidirect |
| 29. #11718110 | C4 | semidirect |
| 30. #11718080 | C4 | semidirect |
| 114. C13×Q16 | C4⋊C4 | semidirect |
| 116. C13×D8 | C4⋊C4 | semidirect |
| 126. Dic52 | C4⋊C4 | semidirect |
| 127. D104 | C4⋊C4 | semidirect |
| 205. #360 | #261 | semidirect |
| 296. Q16 | C4⋊#261 | semidirect |
| 303. D8 | C4⋊#261 | semidirect |
| 337. C13 | #12950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#443 | 2 |
| D13⋊#365 | 2 |
| D13⋊#360 | 2 |
| #13130939 | 2 |
| #13129900 | 2 |
| #13129879 | 2 |
| D13×#360 | 2 |
| #12950 | 13 |