Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
164 conjugacy classes of subgroups; only the 25 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 25 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. #19132760 | C2 | semidirect |
| 3. C43×#1410 | C2 | semidirect |
| 4. #14583276 | C4 | semidirect |
| 8. #14582620 | C4 | semidirect |
| 64. #1410 | D43 | semidirect |
| 77. C43 | #7527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134259 | 2 |
| #19132760 | 2 |
| C43×#1410 | 2 |
| #7527 | 43 |