Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
530 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13117651 | C2 | semidirect |
| 3. #13115755 | C2 | semidirect |
| 4. #13113384 | C2 | semidirect |
| 5. #13112701 | C2 | semidirect |
| 6. #13112693 | C2 | semidirect |
| 7. C13×#1527 | C2 | semidirect |
| 18. #11718719 | C4 | semidirect |
| 20. #11718716 | C4 | semidirect |
| 56. #88128 | C2×C4 | semidirect |
| 59. #88123 | C2×C4 | semidirect |
| 78. #88043 | C2×C4 | semidirect |
| 138. #1527 | D13 | semidirect |
| 355. C13 | #9381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125823 | 2 |
| #13117651 | 2 |
| #13115755 | 2 |
| #13113384 | 2 |
| #13112701 | 2 |
| #13112693 | 2 |
| C13×#1527 | 2 |
| #9381 | 13 |