Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 3. C4×#88059 | C2 | semidirect |
| 4. #13112932 | C2 | semidirect |
| 5. C2×C13×#346 | C2 | semidirect |
| 19. #11718102 | C4 | semidirect |
| 38. C2×C13×C16 | C2×C4 | semidirect |
| 43. #88059 | C2×C4 | semidirect |
| 85. C2×#346 | D13 | semidirect |
| 155. C2×C16 | C4×D13 | semidirect |
| 203. C13 | #12640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88158 | 2 |
| C2×#11718102 | 2 |
| C4×#88059 | 2 |
| #13112932 | 2 |
| C2×C13×#346 | 2 |
| #12640 | 13 |