Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
794 conjugacy classes of subgroups; only the 204 normal subgroups are shown.
This group has 794 conjugacy classes of subgroups — too many to draw. Only its 204 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. #10593755 | C2 | semidirect |
| 4. #10593729 | C2 | semidirect |
| 5. #10593726 | C2 | semidirect |
| 89. C3⋊Dic3 | #131 | semidirect |
| 152. C32 | #2906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#64289 | 2 |
| C4×#3832 | 2 |
| #10593755 | 2 |
| #10593729 | 2 |
| #10593726 | 2 |
| #2906 | 9 |