Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
254 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19132661 | C2 | semidirect |
| 4. #19132660 | C2 | semidirect |
| 5. C43×#1368 | C2 | semidirect |
| 24. C16×D43 | C8 | semidirect |
| 50. C16×C43 | C2×C8 | semidirect |
| 52. C43⋊C16 | C2×C8 | semidirect |
| 81. #1368 | D43 | direct (N × H) |
| 84. D43 | #1368 | direct (N × H) |
| 96. C43 | C2×#1368 | semidirect |
| 132. C16 | C8×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #346×D43 | 2 |
| #334×D43 | 2 |
| #19132661 | 2 |
| #19132660 | 2 |
| C43×#1368 | 2 |
| C2×#1368 | 43 |