Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
950 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 950 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13125751 | C2 | semidirect |
| 2. #13123231 | C2 | semidirect |
| 3. #13113505 | C2 | semidirect |
| 4. #13112669 | C2 | semidirect |
| 5. C13×#1962 | C2 | semidirect |
| 25. C13×C4⋊Q8 | D4 | semidirect |
| 26. C13×#127 | D4 | semidirect |
| 45. C4⋊#1055 | D4 | semidirect |
| 77. C42×C13 | D8 | semidirect |
| 85. #1962 | D13 | semidirect |
| 156. C4⋊Q8 | D52 | semidirect |
| 164. #127 | D52 | semidirect |
| 213. C42 | #6104 | semidirect |
| 217. C13 | #10280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125751 | 2 |
| #13123231 | 2 |
| #13113505 | 2 |
| #13112669 | 2 |
| C13×#1962 | 2 |
| #10280 | 13 |