Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
216 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 3. #23750485 | C2 | semidirect |
| 4. #23750484 | C2 | semidirect |
| 92. C149 | #1550 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750628 | 2 |
| C2×#18011978 | 2 |
| #23750485 | 2 |
| #23750484 | 2 |
| #23750177 | 2 |
| #1550 | 149 |