Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
354 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 119 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×#14582729 | C2 | semidirect |
| 4. #19132698 | C2 | semidirect |
| 5. C2×C43×#368 | C2 | semidirect |
| 114. C2×#368 | D43 | semidirect |
| 135. C43 | #12840 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583315 | 2 |
| C2×#14582729 | 2 |
| #19134642 | 2 |
| #19132698 | 2 |
| C2×C43×#368 | 2 |
| #12840 | 43 |