Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
184 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 10. #18011847 | C4 | semidirect |
| 60. C149 | #1953 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749673 | 2 |
| C2×#18011847 | 2 |
| #23749395 | 2 |
| #405×C149 | 2 |
| #1953 | 149 |