Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
274 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 2. #23749673 | C2 | semidirect |
| 3. #23749642 | C2 | semidirect |
| 4. #23749631 | C2 | semidirect |
| 5. C2×#18011827 | C2 | semidirect |
| 6. #23749396 | C2 | semidirect |
| 7. #413×C149 | C2 | semidirect |
| 110. C149 | #2048 | semidirect |
| 116. #413 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011936 | 2 |
| #23749673 | 2 |
| #23749642 | 2 |
| #23749631 | 2 |
| C2×#18011827 | 2 |
| #23749396 | 2 |
| #413×C149 | 2 |
| #2048 | 149 |