Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
464 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 133 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. #23749560 | C2 | semidirect |
| 3. #23749551 | C2 | semidirect |
| 4. #23749547 | C2 | semidirect |
| 5. #23749545 | C2 | semidirect |
| 7. #23749491 | C2 | semidirect |
| 8. C2×#125×C149 | C2 | semidirect |
| 98. C149 | #2820 | semidirect |
| 100. C2×#125 | D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011899 | 2 |
| #23749560 | 2 |
| #23749551 | 2 |
| #23749547 | 2 |
| #23749545 | 2 |
| #23749542 | 2 |
| #23749491 | 2 |
| C2×#125×C149 | 2 |
| #2820 | 149 |