Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13123428 | C2 | semidirect |
| 3. C2×#11718158 | C2 | semidirect |
| 4. #13116465 | C2 | semidirect |
| 5. #13112952 | C2 | semidirect |
| 6. #13112935 | C2 | semidirect |
| 7. C13×#2145 | C2 | semidirect |
| 15. #11718853 | C4 | semidirect |
| 17. #11718821 | C4 | semidirect |
| 35. C2×C13×Q16 | C2×C4 | semidirect |
| 37. C2×C13×D8 | C2×C4 | semidirect |
| 68. #88059 | C2×C4 | semidirect |
| 135. #2145 | D13 | semidirect |
| 227. C2×Q16 | C4×D13 | semidirect |
| 229. C2×D8 | C4×D13 | semidirect |
| 325. C13 | #13005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124552 | 2 |
| #13123428 | 2 |
| C2×#11718158 | 2 |
| #13116465 | 2 |
| #13112952 | 2 |
| #13112935 | 2 |
| C13×#2145 | 2 |
| #13005 | 13 |