Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
594 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 103 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×#14583335 | C2 | semidirect |
| 2. #19145041 | C2 | semidirect |
| 3. C2×#14582708 | C2 | semidirect |
| 4. #19132679 | C2 | semidirect |
| 5. C43×#1972 | C2 | semidirect |
| 43. #13063265 | D4 | semidirect |
| 49. C2×D8×C43 | D4 | semidirect |
| 159. #1972 | D43 | semidirect |
| 183. C43 | #13341 | semidirect |
| 201. C2×D8 | D172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583335 | 2 |
| #19145041 | 2 |
| C2×#14582708 | 2 |
| #19132679 | 2 |
| C43×#1972 | 2 |
| #13341 | 43 |