Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
272 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 272 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 |
|---|---|---|
| 2. #23750505 | C2 | semidirect |
| 53. C149 | #1822 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750595 | 2 |
| #23750505 | 2 |
| C2×#18011867 | 2 |
| #1822 | 149 |