Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 552 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×#11718569 | C2 | semidirect |
| 2. #13124557 | C2 | semidirect |
| 3. #13124485 | C2 | semidirect |
| 4. C2×#11718087 | C2 | semidirect |
| 5. #13116571 | C2 | semidirect |
| 6. #13116465 | C2 | semidirect |
| 7. C13×#1389 | C2 | semidirect |
| 42. C2×Dic52 | D4 | semidirect |
| 54. C2×D104 | D4 | semidirect |
| 67. C13×M32 | D4 | semidirect |
| 70. C13×#108 | D4 | semidirect |
| 149. #1389 | D13 | semidirect |
| 275. M32 | D52 | semidirect |
| 279. #108 | D52 | semidirect |
| 353. C13 | #13310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718569 | 2 |
| #13124557 | 2 |
| #13124485 | 2 |
| C2×#11718087 | 2 |
| #13116571 | 2 |
| #13116465 | 2 |
| C13×#1389 | 2 |
| #13310 | 13 |