Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
704 conjugacy classes of subgroups; only the 198 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 198 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. #23750703 | C2 | semidirect |
| 2. #23750612 | C2 | semidirect |
| 3. #23750611 | C2 | semidirect |
| 4. D149⋊#101 | C2 | semidirect |
| 5. C2×#18011972 | C2 | semidirect |
| 121. C149 | #2889 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750703 | 2 |
| #23750612 | 2 |
| #23750611 | 2 |
| D149⋊#101 | 2 |
| C2×#18011972 | 2 |
| C2×#18011958 | 2 |
| #2889 | 149 |