Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
734 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 734 conjugacy classes of subgroups — too many to draw. Only its 161 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. #19135557 | C2 | semidirect |
| 4. C43⋊#1273 | C2 | semidirect |
| 5. C2×C43×#498 | C2 | semidirect |
| 62. C2×C8×C43 | SD16 | semidirect |
| 75. C2×C43⋊C8 | SD16 | semidirect |
| 120. C2×#498 | D43 | semidirect |
| 143. C43 | #10315 | semidirect |
| 192. C2×C8 | #10621884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583273 | 2 |
| #19135557 | 2 |
| #19135401 | 2 |
| C43⋊#1273 | 2 |
| C2×C43×#498 | 2 |
| #10315 | 43 |