Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
693 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 693 conjugacy classes of subgroups — too many to draw. Only its 132 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. C2×#63578 | C2 | semidirect |
| 4. C3×#4552 | C2 | semidirect |
| 19. #4552 | D3 | semidirect |
| 189. C32 | #1811 | semidirect |
| 225. C3 | #68940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#3743 | 2 |
| C2×#63578 | 2 |
| #10591074 | 2 |
| C3×#4552 | 2 |
| #68940 | 3 |