Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
548 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 113 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×#11718554 | C2 | semidirect |
| 3. C2×#11718155 | C2 | semidirect |
| 4. C2×#11718106 | C2 | semidirect |
| 5. #13112936 | C2 | semidirect |
| 6. #13112935 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 57. C13×#108 | D4 | semidirect |
| 61. #88059 | D4 | semidirect |
| 120. C2×#361 | D13 | semidirect |
| 235. #108 | C22⋊D13 | semidirect |
| 294. C13 | #13010 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718820 | 2 |
| C2×#11718554 | 2 |
| C2×#11718155 | 2 |
| C2×#11718106 | 2 |
| #13112936 | 2 |
| #13112935 | 2 |
| C2×C13×#361 | 2 |
| #13010 | 13 |