Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
512 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 109 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×#14583017 | C2 | semidirect |
| 3. C2×#14582712 | C2 | semidirect |
| 4. #19136305 | C2 | semidirect |
| 5. #19132703 | C2 | semidirect |
| 6. #19132677 | C2 | semidirect |
| 7. C43×#1970 | C2 | semidirect |
| 11. #14583335 | C4 | semidirect |
| 111. Dic172 | C22⋊C4 | semidirect |
| 113. D344 | C22⋊C4 | semidirect |
| 183. #1970 | D43 | semidirect |
| 213. C43 | #13029 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583335 | 2 |
| C2×#14583017 | 2 |
| C2×#14582712 | 2 |
| #19136305 | 2 |
| #19132703 | 2 |
| #19132677 | 2 |
| C43×#1970 | 2 |
| #13029 | 43 |