Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
410 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 75 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. C2×#63748 | C2 | semidirect |
| 4. #10590097 | C2 | semidirect |
| 63. C2×C3⋊D3 | #108 | semidirect |
| 119. C32 | #1810 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#3787 | 2 |
| #10593802 | 2 |
| C2×#63748 | 2 |
| #10590097 | 2 |
| #1810 | 9 |