Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
402 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 105 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. #19136188 | C2 | semidirect |
| 3. #334×D43 | C2 | semidirect |
| 4. #19132565 | C2 | semidirect |
| 5. #19132563 | C2 | semidirect |
| 6. #19132561 | C2 | semidirect |
| 7. C43×#1334 | C2 | semidirect |
| 29. #13063348 | C8 | semidirect |
| 75. Q16×C43 | C2×C8 | semidirect |
| 98. D344 | C2×C8 | semidirect |
| 157. #1334 | D43 | semidirect |
| 184. C43 | #11598 | semidirect |
| 233. Q16 | C8×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#13063348 | 2 |
| #19136188 | 2 |
| #334×D43 | 2 |
| #19132565 | 2 |
| #19132563 | 2 |
| #19132561 | 2 |
| C43×#1334 | 2 |
| #11598 | 43 |