Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
482 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 131 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×#15668035 | C2 | semidirect |
| 2. C2×Q16×D89 | C2 | semidirect |
| 3. #19152260 | C2 | semidirect |
| 4. #19151982 | C2 | semidirect |
| 5. #19151840 | C2 | semidirect |
| 6. #19151835 | C2 | semidirect |
| 7. #19151820 | C2 | semidirect |
| 8. #19151763 | C2 | semidirect |
| 9. #19151738 | C2 | semidirect |
| 10. C8×D356 | C2 | semidirect |
| 11. C4×Q16×C89 | C2 | semidirect |
| 73. Q16×C89 | D4 | semidirect |
| 120. C2×D89 | #135 | semidirect |
| 137. C89 | #3285 | semidirect |
| 147. C4×Q16 | D89 | semidirect |
| 195. Q16 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668035 | 2 |
| C2×Q16×D89 | 2 |
| #19152260 | 2 |
| #19151982 | 2 |
| #19151840 | 2 |
| #19151835 | 2 |
| #19151820 | 2 |
| #19151763 | 2 |
| #19151738 | 2 |
| C8×D356 | 2 |
| C4×Q16×C89 | 2 |
| #3285 | 89 |