Finite Group DatabasebetaFinite Group DatabasebetaOrder 832.
198 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 51 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. C22×D4×C13 | C2 | semidirect |
| 2. C2×#6104 | C2 | semidirect |
| 3. #88184 | C2 | semidirect |
| 4. #88072 | C2 | semidirect |
| 5. C22⋊#1055 | C2 | semidirect |
| 12. C2×D52 | C22 | semidirect |
| 15. C4⋊Dic13 | C22 | semidirect |
| 16. C2×#1055 | C22 | semidirect |
| 25. D4×C13 | D4 | semidirect |
| 40. C22×C13 | D8 | semidirect |
| 48. C22×D4 | D13 | semidirect |
| 70. C13 | #447 | semidirect |
| 81. D4 | C22⋊D13 | semidirect |
| 96. C22 | #6104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D4×C13 | 2 |
| C2×#6104 | 2 |
| #88184 | 2 |
| #88072 | 2 |
| C22⋊#1055 | 2 |
| #447 | 13 |