Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
502 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 502 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13115609 | C2 | semidirect |
| 3. #13113505 | C2 | semidirect |
| 4. C2×#11718077 | C2 | semidirect |
| 5. #13113235 | C2 | semidirect |
| 6. #13112686 | C2 | semidirect |
| 7. C13×#1547 | C2 | semidirect |
| 125. #1547 | D13 | semidirect |
| 321. C13 | #10549 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125289 | 2 |
| #13115609 | 2 |
| #13113505 | 2 |
| C2×#11718077 | 2 |
| #13113235 | 2 |
| #13112686 | 2 |
| C13×#1547 | 2 |
| #10549 | 13 |