Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 2. #13112782 | C2 | semidirect |
| 3. #13112770 | C2 | semidirect |
| 21. C13×#124 | C8 | semidirect |
| 46. C2×Q8×C13 | C2×C8 | semidirect |
| 73. C42×C13 | C2×C8 | semidirect |
| 150. #124 | #1055 | semidirect |
| 179. C2×Q8 | C2×#1055 | semidirect |
| 208. C42 | C2×#1055 | semidirect |
| 209. C13 | #11481 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113154 | 2 |
| #13112782 | 2 |
| #13112770 | 2 |
| C13×#2326 | 2 |
| #11481 | 13 |