Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 370 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 |
|---|---|---|
| 29. C2×Dic172 | Q8 | semidirect |
| 163. C43 | #13368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145118 | 2 |
| #19136316 | 2 |
| #19136314 | 2 |
| #19135464 | 2 |
| #19132702 | 2 |
| #19132678 | 2 |
| C43×#1386 | 2 |
| #13368 | 43 |