Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
436 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 84. C2×Dic86 | Q16 | semidirect |
| 96. C4⋊C4×C43 | Q16 | semidirect |
| 211. C43 | #7784 | semidirect |
| 294. C4⋊C4 | #10621885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142557 | 2 |
| #19135733 | 2 |
| #19135695 | 2 |
| #19132420 | 2 |
| #19132418 | 2 |
| C43×#2057 | 2 |
| #7784 | 43 |