Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
422 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 422 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. #13116622 | C2 | semidirect |
| 5. #13112943 | C2 | semidirect |
| 6. #13112920 | C2 | semidirect |
| 7. C13×#1944 | C2 | semidirect |
| 27. #11718080 | C4 | semidirect |
| 54. C13×#106 | C2×C4 | semidirect |
| 68. #88052 | C2×C4 | semidirect |
| 114. Dic52 | C4⋊C4 | semidirect |
| 116. D104 | C4⋊C4 | semidirect |
| 125. #1944 | D13 | semidirect |
| 238. #106 | C4×D13 | semidirect |
| 301. C13 | #12943 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123638 | 2 |
| #13116622 | 2 |
| C2×#11718080 | 2 |
| #13116546 | 2 |
| #13112943 | 2 |
| #13112920 | 2 |
| C13×#1944 | 2 |
| #12943 | 13 |