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. C22×D208 | C2 | semidirect |
| 2. C2×#11718558 | C2 | semidirect |
| 3. #13124485 | C2 | semidirect |
| 4. C2×#11718087 | C2 | semidirect |
| 5. #13116551 | C2 | semidirect |
| 6. C2×#11718100 | C2 | semidirect |
| 7. C13×#1382 | C2 | semidirect |
| 50. C2×D104 | D4 | semidirect |
| 64. C2×C13×C16 | D4 | semidirect |
| 66. C13×#108 | D4 | semidirect |
| 138. #1382 | D13 | semidirect |
| 260. C2×C16 | D52 | semidirect |
| 262. #108 | D52 | semidirect |
| 330. C13 | #13319 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D208 | 2 |
| C2×#11718558 | 2 |
| #13124485 | 2 |
| C2×#11718087 | 2 |
| #13116551 | 2 |
| C2×#11718100 | 2 |
| C13×#1382 | 2 |
| #13319 | 13 |