Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
512 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#14583016 | C2 | semidirect |
| 3. C2×#14582713 | C2 | semidirect |
| 4. #19135459 | C2 | semidirect |
| 5. #19132703 | C2 | semidirect |
| 6. #19132676 | C2 | semidirect |
| 7. C43×#2139 | C2 | semidirect |
| 11. #14583334 | C4 | semidirect |
| 89. Q16×C43 | C22⋊C4 | semidirect |
| 93. D8×C43 | C22⋊C4 | semidirect |
| 182. #2139 | D43 | semidirect |
| 213. C43 | #13029 | semidirect |
| 275. Q16 | (C2×D43)⋊C4 | semidirect |
| 283. D8 | (C2×D43)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583334 | 2 |
| C2×#14583016 | 2 |
| C2×#14582713 | 2 |
| #19135459 | 2 |
| #19132703 | 2 |
| #19132676 | 2 |
| C43×#2139 | 2 |
| #13029 | 43 |