Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
424 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 84 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. #13131188 | C2 | semidirect |
| 4. #13130954 | C2 | semidirect |
| 5. #13129899 | C2 | semidirect |
| 6. #13129892 | C2 | semidirect |
| 25. C13×#361 | C4 | semidirect |
| 26. #11718155 | C4 | semidirect |
| 27. #11718108 | C4 | semidirect |
| 28. #11718087 | C4 | semidirect |
| 62. C13×M32 | C2×C4 | semidirect |
| 63. C13×#108 | C2×C4 | semidirect |
| 65. #88059 | C2×C4 | semidirect |
| 66. #88052 | C2×C4 | semidirect |
| 175. #361 | #261 | semidirect |
| 220. M32 | C2×#261 | semidirect |
| 227. #108 | C2×#261 | semidirect |
| 292. C13 | #12940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131595 | 2 |
| #13131188 | 2 |
| C2×#11718276 | 2 |
| #13130954 | 2 |
| #13129899 | 2 |
| #13129892 | 2 |
| D13×#361 | 2 |
| #12940 | 13 |