Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
600 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 600 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 |
|---|---|---|
| 1. C2×#11718375 | C2 | semidirect |
| 2. C2×#11718716 | C2 | semidirect |
| 4. #13115656 | C2 | semidirect |
| 5. C2×#11718056 | C2 | semidirect |
| 6. #13112718 | C2 | semidirect |
| 7. C2×C13×#329 | C2 | semidirect |
| 61. #88123 | D4 | semidirect |
| 65. C13×#97 | D4 | semidirect |
| 75. #88043 | D4 | semidirect |
| 136. C2×#329 | D13 | semidirect |
| 272. #97 | C22⋊D13 | semidirect |
| 337. C13 | #10085 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718375 | 2 |
| C2×#11718716 | 2 |
| #13122881 | 2 |
| #13115656 | 2 |
| C2×#11718056 | 2 |
| #13112718 | 2 |
| C2×C13×#329 | 2 |
| #10085 | 13 |