Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
972 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 972 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 3. C2×#11718120 | C2 | semidirect |
| 4. #13112714 | C2 | semidirect |
| 5. C13×#2316 | C2 | semidirect |
| 17. #11718652 | C4 | semidirect |
| 109. #2316 | D13 | semidirect |
| 162. C2×C4×C13 | #102 | semidirect |
| 319. C13 | #9019 | semidirect |
| 377. C2×C4 | #88049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718652 | 2 |
| #13114766 | 2 |
| C2×#11718120 | 2 |
| #13112714 | 2 |
| C13×#2316 | 2 |
| #9019 | 13 |