Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
432 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 93 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×#14582710 | C2 | semidirect |
| 3. #19136305 | C2 | semidirect |
| 4. C2×#14582680 | C2 | semidirect |
| 5. #19134629 | C2 | semidirect |
| 6. #19132700 | C2 | semidirect |
| 7. C43×#2159 | C2 | semidirect |
| 69. M32×C43 | D4 | semidirect |
| 202. #2159 | D43 | semidirect |
| 236. C43 | #13386 | semidirect |
| 269. M32 | D172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144205 | 2 |
| C2×#14582710 | 2 |
| #19136305 | 2 |
| C2×#14582680 | 2 |
| #19134629 | 2 |
| #19132700 | 2 |
| C43×#2159 | 2 |
| #13386 | 43 |