Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
394 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 394 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19152398 | C2 | semidirect |
| 2. #19152109 | C2 | semidirect |
| 3. #19151614 | C2 | semidirect |
| 4. #19151355 | C2 | semidirect |
| 5. #407×C89 | C2 | semidirect |
| 25. C2×Dic178 | D4 | semidirect |
| 26. C2×D356 | D4 | semidirect |
| 38. C4×Dic89 | D4 | semidirect |
| 49. C2×C8×C89 | D4 | semidirect |
| 99. C89 | #2010 | semidirect |
| 103. #407 | D89 | semidirect |
| 142. C2×C8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152398 | 2 |
| #19152109 | 2 |
| #19151614 | 2 |
| #19151355 | 2 |
| #407×C89 | 2 |
| #2010 | 89 |