Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
500 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 1. C2×#14582948 | C2 | semidirect |
| 2. #19136323 | C2 | semidirect |
| 3. C2×#14582681 | C2 | semidirect |
| 4. #19132711 | C2 | semidirect |
| 31. #13063261 | D4 | semidirect |
| 175. C43 | #12998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582948 | 2 |
| #19136323 | 2 |
| C2×#14582681 | 2 |
| #19132711 | 2 |
| C43×#3054 | 2 |
| #12998 | 43 |