Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
302 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 78 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. D13⋊M64 | C2 | semidirect |
| 2. C2×#11718221 | C2 | semidirect |
| 3. #13129986 | C2 | semidirect |
| 4. #13129985 | C2 | semidirect |
| 8. C13×#508 | C4 | semidirect |
| 10. #11718580 | C4 | semidirect |
| 14. #11718573 | C4 | semidirect |
| 16. #11718565 | C4 | semidirect |
| 37. C13×Q32 | C2×C4 | semidirect |
| 39. C13×D16 | C2×C4 | semidirect |
| 46. Dic104 | C2×C4 | semidirect |
| 48. D208 | C2×C4 | semidirect |
| 129. #508 | #261 | semidirect |
| 170. Q32 | C2×#261 | semidirect |
| 177. D16 | C2×#261 | semidirect |
| 228. C13 | #13616 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊M64 | 2 |
| C2×#11718221 | 2 |
| #13129986 | 2 |
| #13129985 | 2 |
| D13×#508 | 2 |
| #13616 | 13 |