Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
146 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 66 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 |
|---|---|---|
| 1. #23750683 | C2 | semidirect |
| 2. #23750547 | C2 | semidirect |
| 3. #23750523 | C2 | semidirect |
| 4. #23750511 | C2 | semidirect |
| 50. C149 | #2170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750683 | 2 |
| #23750547 | 2 |
| #23750523 | 2 |
| #23750511 | 2 |
| #23749742 | 2 |
| #2170 | 149 |