Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
500 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 197 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. C2×#15668018 | C2 | semidirect |
| 3. #19151677 | C2 | semidirect |
| 4. C8×D356 | C2 | semidirect |
| 5. #19151622 | C2 | semidirect |
| 6. #19151564 | C2 | semidirect |
| 7. C2×C4×C8×C89 | C2 | semidirect |
| 41. C2×C8×C89 | D4 | semidirect |
| 75. C4×C89 | #131 | semidirect |
| 84. C89 | #2931 | semidirect |
| 91. C2×C4×C8 | D89 | semidirect |
| 123. C2×C8 | D356 | semidirect |
| 160. C4 | #15668018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668018 | 2 |
| #19152148 | 2 |
| #19151677 | 2 |
| C8×D356 | 2 |
| #19151622 | 2 |
| #19151564 | 2 |
| C2×C4×C8×C89 | 2 |
| #2931 | 89 |