Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
166 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 166 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 |
|---|---|---|
| 3. #23750489 | C2 | semidirect |
| 4. #23750488 | C2 | semidirect |
| 5. #23750487 | C2 | semidirect |
| 6. #23750486 | C2 | semidirect |
| 53. #11924746 | M16 | semidirect |
| 60. C8×C149 | M16 | semidirect |
| 77. C149 | #1569 | semidirect |
| 138. C8 | #14558745 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750646 | 2 |
| #23750628 | 2 |
| #23750489 | 2 |
| #23750488 | 2 |
| #23750487 | 2 |
| #23750486 | 2 |
| M16×Dic149 | 2 |
| #1569 | 149 |