Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
782 conjugacy classes of subgroups; only the 491 normal subgroups are shown.
This group has 782 conjugacy classes of subgroups — too many to draw. Only its 491 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. C2×#11718097 | C2 | direct (N × H) |
| 6. C22×C13×C16 | C4 | semidirect |
| 10. #11718097 | C22 | direct (N × H) |
| 19. C2×C13×C16 | C2×C4 | semidirect |
| 38. C13×C16 | C22×C4 | semidirect |
| 57. C22×C16 | Dic13 | semidirect |
| 62. C22×C13 | #367 | semidirect |
| 78. C2×C16 | C2×Dic13 | semidirect |
| 82. C2×C13 | C2×#367 | semidirect |
| 99. C16 | C22×Dic13 | semidirect |
| 100. C13 | C22×#367 | semidirect |
| 114. C22 | #11718097 | direct (N × H) |
| 122. C2 | C2×#11718097 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88058 | 2 |
| C2×#11718097 | 2 |
| C23×C13×C16 | 2 |
| C22×#367 | 13 |