Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1566 conjugacy classes of subgroups; only the 440 normal subgroups are shown.
This group has 1566 conjugacy classes of subgroups — too many to draw. Only its 440 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 |
|---|---|---|
| 11. #11719061 | C4 | direct (N × H) |
| 12. C43×C13 | C4 | semidirect |
| 13. C42×Dic13 | C4 | semidirect |
| 14. C42×Dic13 | C4 | semidirect |
| 15. C42×Dic13 | C4 | semidirect |
| 57. C42×C13 | C42 | semidirect |
| 64. C4×Dic13 | C42 | semidirect |
| 103. C43 | #261 | semidirect |
| 113. C4×C13 | #383 | semidirect |
| 116. Dic13 | #383 | semidirect |
| 168. C42 | C4×#261 | semidirect |
| 169. C13 | C4×#383 | semidirect |
| 206. C4 | #11719061 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719061 | 2 |
| #13130012 | 2 |
| C4×(C2×#261)⋊C4 | 2 |
| C43×D13 | 2 |
| C4×#383 | 13 |