Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
798 conjugacy classes of subgroups; only the 227 normal subgroups are shown.
This group has 798 conjugacy classes of subgroups — too many to draw. Only its 227 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 |
|---|---|---|
| 1. #19145154 | C2 | semidirect |
| 2. #19145109 | C2 | semidirect |
| 4. #19134228 | C2 | semidirect |
| 5. #19134223 | C2 | semidirect |
| 6. #19134217 | C2 | semidirect |
| 7. C2×C43×#322 | C2 | semidirect |
| 68. C2×C8×C43 | SD16 | semidirect |
| 123. C2×#322 | D43 | semidirect |
| 149. C43 | #19608 | semidirect |
| 193. C2×C8 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145154 | 2 |
| #19145109 | 2 |
| #19145023 | 2 |
| #19134228 | 2 |
| #19134223 | 2 |
| #19134217 | 2 |
| C2×C43×#322 | 2 |
| #19608 | 43 |