Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
316 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 2. #19151604 | C2 | semidirect |
| 3. C2×#15667928 | C2 | semidirect |
| 4. #19151553 | C2 | semidirect |
| 5. C2×#108×C89 | C2 | semidirect |
| 10. C2×D712 | C4 | semidirect |
| 82. C89 | #1978 | semidirect |
| 84. C2×#108 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D712 | 2 |
| #19151604 | 2 |
| C2×#15667928 | 2 |
| #19151553 | 2 |
| C2×#108×C89 | 2 |
| #1978 | 89 |