Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
532 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13081750 | C2 | semidirect |
| 2. #13078278 | C2 | semidirect |
| 3. C2×#10622204 | C2 | semidirect |
| 4. #13070343 | C2 | semidirect |
| 5. #13070244 | C2 | semidirect |
| 6. #13066716 | C2 | semidirect |
| 7. C11×#3067 | C2 | semidirect |
| 45. C2×C11×Q16 | D4 | semidirect |
| 47. C2×C11×D8 | D4 | semidirect |
| 71. C11×#108 | D4 | semidirect |
| 87. C2×C11⋊C16 | D4 | semidirect |
| 156. #3067 | D11 | semidirect |
| 269. C2×Q16 | C22⋊D11 | semidirect |
| 273. C2×D8 | C22⋊D11 | semidirect |
| 300. #108 | C22⋊D11 | semidirect |
| 380. C11 | #13318 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13081750 | 2 |
| #13078278 | 2 |
| C2×#10622204 | 2 |
| #13070343 | 2 |
| #13070244 | 2 |
| #13066716 | 2 |
| C11×#3067 | 2 |
| #13318 | 11 |