Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 94 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. #13131064 | C2 | semidirect |
| 2. D13⋊(C22⋊C16) | C2 | semidirect |
| 3. #13129757 | C2 | semidirect |
| 4. #13129756 | C2 | semidirect |
| 319. C13 | #11419 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131064 | 2 |
| D13⋊(C22⋊C16) | 2 |
| #13129757 | 2 |
| #13129756 | 2 |
| C2×#11718388 | 2 |
| #11419 | 13 |