Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
588 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 588 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19142588 | C2 | semidirect |
| 3. #19132421 | C2 | semidirect |
| 4. #19132420 | C2 | semidirect |
| 50. C2×Q8×C43 | SD16 | semidirect |
| 74. C2×Dic86 | SD16 | semidirect |
| 172. C43 | #7749 | semidirect |
| 210. C2×Q8 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142588 | 2 |
| #19135683 | 2 |
| #19132421 | 2 |
| #19132420 | 2 |
| C43×#2014 | 2 |
| #7749 | 43 |