Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
316 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19136793 | C2 | semidirect |
| 4. #19136083 | C2 | semidirect |
| 5. #19132608 | C2 | semidirect |
| 7. C43×#1322 | C2 | semidirect |
| 153. #1322 | D43 | semidirect |
| 179. C43 | #12290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145947 | 2 |
| #19136793 | 2 |
| #19136776 | 2 |
| #19136083 | 2 |
| #19132608 | 2 |
| #19132605 | 2 |
| C43×#1322 | 2 |
| #12290 | 43 |