Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
144 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 69. C149 | #1684 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23749977 | 2 |
| #23749910 | 2 |
| Q8×#11924746 | 2 |
| #23749377 | 2 |
| #23749374 | 2 |
| #23749370 | 2 |
| #477×C149 | 2 |
| #1684 | 149 |