Finite Group DatabasebetaFinite Group DatabasebetaOrder 20032.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 1. C2×#19097548 | C2 | semidirect |
| 2. C2×C8×D313 | C2 | semidirect |
| 3. #23756473 | C2 | semidirect |
| 5. #23756428 | C2 | semidirect |
| 6. #23756419 | C2 | semidirect |
| 7. #103×C313 | C2 | semidirect |
| 30. #14578809 | D4 | semidirect |
| 43. C2×D313 | SD16 | semidirect |
| 55. C313 | #465 | semidirect |
| 62. #103 | D313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19097548 | 2 |
| C2×C8×D313 | 2 |
| #23756473 | 2 |
| #23756472 | 2 |
| #23756428 | 2 |
| #23756419 | 2 |
| #103×C313 | 2 |
| #465 | 313 |