Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
314 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13127230 | C2 | semidirect |
| 2. #13117059 | C2 | semidirect |
| 4. #13112893 | C2 | semidirect |
| 5. #13112800 | C2 | semidirect |
| 6. #13112790 | C2 | semidirect |
| 7. C13×#2207 | C2 | semidirect |
| 89. #2207 | D13 | semidirect |
| 111. D52 | SD32 | semidirect |
| 220. C13 | #12342 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127230 | 2 |
| #13117059 | 2 |
| #13114188 | 2 |
| #13112893 | 2 |
| #13112800 | 2 |
| #13112790 | 2 |
| C13×#2207 | 2 |
| #12342 | 13 |