Finite Group DatabasebetaFinite Group DatabasebetaOrder 33344.
110 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 110 conjugacy classes of subgroups — too many to draw. Only its 37 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. #30659699 | C2 | semidirect |
| 3. #30659630 | C2 | semidirect |
| 4. #30659629 | C2 | semidirect |
| 5. #30659628 | C2 | semidirect |
| 6. #30659618 | C2 | semidirect |
| 7. #102×C521 | C2 | semidirect |
| 52. C521 | #490 | semidirect |
| 59. #102 | D521 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #30659704 | 2 |
| #30659699 | 2 |
| #30659630 | 2 |
| #30659629 | 2 |
| #30659628 | 2 |
| #30659618 | 2 |
| #102×C521 | 2 |
| #490 | 521 |