Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
138 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 64 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. #23750546 | C2 | semidirect |
| 3. #23750514 | C2 | semidirect |
| 4. #23750511 | C2 | semidirect |
| 50. C149 | #2164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750546 | 2 |
| C22⋊#14558739 | 2 |
| #23750514 | 2 |
| #23750511 | 2 |
| #23749583 | 2 |
| #2164 | 149 |