Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
822 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 822 conjugacy classes of subgroups — too many to draw. Only its 155 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. #13115763 | C2 | semidirect |
| 3. C2×#11718136 | C2 | semidirect |
| 4. #13112677 | C2 | semidirect |
| 5. C13×#2366 | C2 | semidirect |
| 14. #11718734 | C4 | semidirect |
| 43. #88128 | C2×C4 | semidirect |
| 50. C4×#1055 | C2×C4 | semidirect |
| 83. C13×C4⋊C4 | D8 | semidirect |
| 99. #2366 | D13 | semidirect |
| 258. C4⋊C4 | #6104 | semidirect |
| 266. C13 | #9061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718734 | 2 |
| #13115763 | 2 |
| C2×#11718136 | 2 |
| #13112677 | 2 |
| C13×#2366 | 2 |
| #9061 | 13 |