Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
832 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 832 conjugacy classes of subgroups — too many to draw. Only its 209 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. C2×C4×C22⋊D149 | C2 | semidirect |
| 3. C2×#18011871 | C2 | semidirect |
| 4. #23749525 | C2 | semidirect |
| 5. #23749525 | C2 | semidirect |
| 6. #23749505 | C2 | semidirect |
| 7. #23749503 | C2 | semidirect |
| 8. #23749476 | C2 | semidirect |
| 9. #386×C149 | C2 | semidirect |
| 15. #18011907 | C4 | semidirect |
| 37. C2×D596 | C2×C4 | semidirect |
| 42. C2×C22⋊D149 | C2×C4 | semidirect |
| 43. C2×C22⋊D149 | C2×C4 | semidirect |
| 53. #14558715 | D4 | semidirect |
| 61. C4×Dic149 | C2×C4 | semidirect |
| 66. C2×D4×C149 | C2×C4 | semidirect |
| 144. Dic149 | C4×D4 | semidirect |
| 153. C149 | #2366 | semidirect |
| 162. #386 | D149 | semidirect |
| 202. C2×D4 | C4×D149 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18011907 | 2 |
| C2×C4×C22⋊D149 | 2 |
| C2×#18011871 | 2 |
| #23749525 | 2 |
| #23749505 | 2 |
| #23749503 | 2 |
| #23749476 | 2 |
| #386×C149 | 2 |
| #2366 | 149 |