Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
402 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 113 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×#18011834 | C2 | semidirect |
| 4. #23749531 | C2 | semidirect |
| 5. #23749387 | C2 | semidirect |
| 6. #23749380 | C2 | semidirect |
| 11. C2×#14558724 | C4 | semidirect |
| 31. C2×Dic298 | C2×C4 | semidirect |
| 40. C2×#11924746 | C2×C4 | semidirect |
| 95. C2×C4×C149 | SD16 | semidirect |
| 133. C149 | #1877 | semidirect |
| 227. C2×C4 | #14558724 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14558724 | 2 |
| C2×#18011834 | 2 |
| C2×#18011832 | 2 |
| #23749531 | 2 |
| #23749387 | 2 |
| #23749380 | 2 |
| C2×C4×D4×C149 | 2 |
| #1877 | 149 |