Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
212 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 18. #18011829 | C4 | semidirect |
| 93. C149 | #1930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749668 | 2 |
| #23749633 | 2 |
| C2×#18011836 | 2 |
| C2×#18011829 | 2 |
| #23749393 | 2 |
| #23749390 | 2 |
| #405×C149 | 2 |
| #1930 | 149 |