Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 99 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×#11718821 | C2 | semidirect |
| 2. #13124480 | C2 | semidirect |
| 3. C2×#11718155 | C2 | semidirect |
| 4. #13116552 | C2 | semidirect |
| 5. C2×#11718100 | C2 | semidirect |
| 6. #13112932 | C2 | semidirect |
| 7. C22×C13×D16 | C2 | semidirect |
| 43. C2×C13×D8 | D4 | semidirect |
| 65. C2×C13×C16 | D4 | semidirect |
| 69. #88059 | D4 | semidirect |
| 132. C22×D16 | D13 | semidirect |
| 239. C2×D8 | C22⋊D13 | semidirect |
| 260. C2×C16 | C22⋊D13 | semidirect |
| 330. C13 | #13319 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718821 | 2 |
| #13124480 | 2 |
| C2×#11718155 | 2 |
| #13116552 | 2 |
| C2×#11718100 | 2 |
| #13112932 | 2 |
| C22×C13×D16 | 2 |
| #13319 | 13 |