Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
176 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 3. #19132795 | C2 | semidirect |
| 4. #19132794 | C2 | semidirect |
| 5. #19132776 | C2 | semidirect |
| 7. C43×#1416 | C2 | semidirect |
| 86. #1416 | D43 | semidirect |
| 103. C43 | #13715 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136683 | 2 |
| #366×D43 | 2 |
| #19132795 | 2 |
| #19132794 | 2 |
| #19132776 | 2 |
| (C2×D43)⋊C32 | 2 |
| C43×#1416 | 2 |
| #13715 | 43 |