Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
828 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 828 conjugacy classes of subgroups — too many to draw. Only its 131 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. C2×#11718733 | C2 | semidirect |
| 2. #13119752 | C2 | semidirect |
| 3. C2×#11718051 | C2 | semidirect |
| 4. #13112719 | C2 | semidirect |
| 5. C13×#1957 | C2 | semidirect |
| 28. C13×#127 | D4 | semidirect |
| 50. C4⋊#1055 | D4 | semidirect |
| 75. C2×D52 | D8 | semidirect |
| 102. #1957 | D13 | semidirect |
| 201. #127 | D52 | semidirect |
| 275. C13 | #10228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718733 | 2 |
| #13119752 | 2 |
| C2×#11718051 | 2 |
| #13112719 | 2 |
| C13×#1957 | 2 |
| #10228 | 13 |