Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
230 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19133414 | C2 | semidirect |
| 3. #19132661 | C2 | semidirect |
| 4. #19132565 | C2 | semidirect |
| 6. #19132515 | C2 | semidirect |
| 36. SD32×C43 | C8 | semidirect |
| 48. Q16×C43 | C2×C8 | semidirect |
| 65. C16×C43 | C2×C8 | semidirect |
| 125. C43 | #12065 | semidirect |
| 131. SD32 | C43⋊C8 | semidirect |
| 151. Q16 | C2×C43⋊C8 | semidirect |
| 169. C16 | C2×C43⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19133419 | 2 |
| #19133414 | 2 |
| #19132661 | 2 |
| #19132565 | 2 |
| #19132562 | 2 |
| #19132515 | 2 |
| C43×#2175 | 2 |
| #12065 | 43 |