Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
5838 conjugacy classes of subgroups; only the 1459 normal subgroups are shown.
This group has 5838 conjugacy classes of subgroups — too many to draw. Only its 1459 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. C23×C4⋊Dic13 | C2 | semidirect |
| 3. C2×#11718338 | C2 | direct (N × H) |
| 4. C22×C13×#95 | C2 | semidirect |
| 11. C22×C4⋊Dic13 | C22 | semidirect |
| 12. C2×C13×#95 | C22 | semidirect |
| 13. #11718338 | C22 | direct (N × H) |
| 28. C2×C4⋊Dic13 | C23 | semidirect |
| 29. C13×#95 | C23 | semidirect |
| 55. C22×#95 | D13 | semidirect |
| 84. C2×#95 | C2×D13 | semidirect |
| 85. C22×C13 | #399 | semidirect |
| 113. #95 | C22×D13 | semidirect |
| 114. C2×C13 | C2×#399 | semidirect |
| 140. C13 | C22×#399 | semidirect |
| 165. C22 | #11718338 | direct (N × H) |
| 175. C2 | C2×#11718338 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4⋊Dic13 | 2 |
| C23×#6103 | 2 |
| C2×#11718338 | 2 |
| C22×C13×#95 | 2 |
| C22×#399 | 13 |