Finite Group DatabasebetaFinite Group DatabasebetaOrder 19904.
122 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 55 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. C4×Dic622 | C2 | semidirect |
| 4. #23755640 | C2 | semidirect |
| 5. #23755633 | C2 | semidirect |
| 7. C4×C8×C311 | C2 | semidirect |
| 11. #19097304 | C4 | direct (N × H) |
| 22. Dic622 | C2×C4 | semidirect |
| 33. C8×C311 | C2×C4 | semidirect |
| 39. C4×C311 | SD16 | semidirect |
| 49. C311 | C4×SD16 | semidirect |
| 57. C4×C8 | D311 | semidirect |
| 83. C8 | C4×D311 | semidirect |
| 92. C4 | #19097304 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19097304 | 2 |
| C4×Dic622 | 2 |
| C4×D1244 | 2 |
| #23755640 | 2 |
| #23755633 | 2 |
| #23755630 | 2 |
| C4×C8×C311 | 2 |
| C4×SD16 | 311 |