Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
576 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 173 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. #23749525 | C2 | semidirect |
| 3. #23749515 | C2 | semidirect |
| 4. #23749510 | C2 | semidirect |
| 5. #23749503 | C2 | semidirect |
| 6. #23749501 | C2 | semidirect |
| 7. #23749496 | C2 | semidirect |
| 8. #23749488 | C2 | semidirect |
| 9. #380×C149 | C2 | semidirect |
| 13. #18011885 | C4 | semidirect |
| 37. C2×C22⋊D149 | C2×C4 | semidirect |
| 44. C4⋊Dic149 | C2×C4 | semidirect |
| 50. #14558713 | C2×C4 | semidirect |
| 54. C22×C4×C149 | C2×C4 | semidirect |
| 129. C149 | #2377 | semidirect |
| 139. #380 | D149 | semidirect |
| 176. C22×C4 | C4×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011885 | 2 |
| #23749525 | 2 |
| #23749515 | 2 |
| #23749510 | 2 |
| #23749503 | 2 |
| #23749501 | 2 |
| #23749496 | 2 |
| #23749488 | 2 |
| #380×C149 | 2 |
| #2377 | 149 |