Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
408 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 121 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. C22×#13083558 | C2 | semidirect |
| 2. C2×C22⋊#10623494 | C2 | semidirect |
| 3. C2×C22⋊#10623494 | C2 | semidirect |
| 4. #19151353 | C2 | semidirect |
| 27. C2×#10623494 | D4 | semidirect |
| 60. C23×C89 | M16 | semidirect |
| 77. C2×C4×C89 | M16 | semidirect |
| 114. C89 | #1870 | semidirect |
| 174. C23 | #13083558 | semidirect |
| 191. C2×C4 | #13083558 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083558 | 2 |
| C2×C22⋊#10623494 | 2 |
| #19151353 | 2 |
| C2×C4×D4×C89 | 2 |
| #1870 | 89 |