Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
166 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 56 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. #23750674 | C2 | semidirect |
| 3. #23750487 | C2 | semidirect |
| 4. #23750475 | C2 | semidirect |
| 6. #11924753⋊C8 | C2 | semidirect |
| 45. #11924753 | SD16 | semidirect |
| 48. Dic298 | M16 | semidirect |
| 77. C149 | #1583 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750674 | 2 |
| #23750659 | 2 |
| #23750487 | 2 |
| #23750475 | 2 |
| #23750473 | 2 |
| #11924753⋊C8 | 2 |
| #23749712 | 2 |
| #1583 | 149 |