Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
284 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 284 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. #23750584 | C2 | semidirect |
| 2. #23750481 | C2 | semidirect |
| 3. #23750480 | C2 | semidirect |
| 7. #18011966 | C22 | semidirect |
| 77. D149 | #329 | semidirect |
| 78. C149 | C2×#329 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750584 | 2 |
| #23750481 | 2 |
| #23750480 | 2 |
| #124×D149 | 2 |
| C2×#329 | 149 |