Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
814 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 814 conjugacy classes of subgroups — too many to draw. Only its 179 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. C2×#11718579 | C2 | semidirect |
| 3. D13×#494 | C2 | semidirect |
| 4. #13117104 | C2 | semidirect |
| 5. #13117093 | C2 | semidirect |
| 6. #13117092 | C2 | semidirect |
| 7. #13117088 | C2 | semidirect |
| 8. C4×#88038 | C2 | semidirect |
| 9. C13×#2247 | C2 | semidirect |
| 77. #88038 | D4 | semidirect |
| 129. #2247 | D13 | semidirect |
| 193. C4×C13 | #510 | semidirect |
| 288. C13 | #33718 | semidirect |
| 328. C4 | #11718579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718579 | 2 |
| #13125265 | 2 |
| D13×#494 | 2 |
| #13117104 | 2 |
| #13117093 | 2 |
| #13117092 | 2 |
| #13117088 | 2 |
| C4×#88038 | 2 |
| C13×#2247 | 2 |
| #33718 | 13 |