Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 85 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. C2×#11718750 | C2 | semidirect |
| 3. #13113562 | C2 | semidirect |
| 4. #13113447 | C2 | semidirect |
| 5. #13113187 | C2 | semidirect |
| 6. #13112736 | C2 | semidirect |
| 7. C13×#3226 | C2 | semidirect |
| 121. #3226 | D13 | semidirect |
| 302. C13 | #10140 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125819 | 2 |
| C2×#11718750 | 2 |
| #13113562 | 2 |
| #13113447 | 2 |
| #13113187 | 2 |
| #13112736 | 2 |
| C13×#3226 | 2 |
| #10140 | 13 |