Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
345 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 345 conjugacy classes of subgroups — too many to draw. Only its 88 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×C9×#101 | C2 | semidirect |
| 3. C2×#63394 | C2 | semidirect |
| 4. #10588155 | C2 | semidirect |
| 5. #10588154 | C2 | semidirect |
| 110. C2×#101 | D9 | semidirect |
| 259. C9 | #2133 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #10589918 | 2 |
| C2×C9×#101 | 2 |
| C2×#63394 | 2 |
| #10588155 | 2 |
| #10588154 | 2 |
| #70128 | 3 |