Finite Group DatabasebetaFinite Group DatabasebetaOrder 2816.
552 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 552 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. C2×#10622760 | C2 | semidirect |
| 2. #13078336 | C2 | semidirect |
| 3. C2×#10622201 | C2 | semidirect |
| 4. #13070351 | C2 | semidirect |
| 5. #13070244 | C2 | semidirect |
| 6. #13066732 | C2 | semidirect |
| 7. C11×#3058 | C2 | semidirect |
| 59. C2×Dic44 | D4 | semidirect |
| 64. C2×D88 | D4 | semidirect |
| 74. #66883 | D4 | semidirect |
| 78. #66876 | D4 | semidirect |
| 145. #3058 | D11 | semidirect |
| 353. C11 | #13310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10622760 | 2 |
| #13078336 | 2 |
| C2×#10622201 | 2 |
| #13070351 | 2 |
| #13070244 | 2 |
| #13066732 | 2 |
| C11×#3058 | 2 |
| #13310 | 11 |