Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
846 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 846 conjugacy classes of subgroups — too many to draw. Only its 138 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 |
| 5. C2×#63382 | C2 | semidirect |
| 105. C2×#101 | D9 | semidirect |
| 146. C2×D9 | #101 | semidirect |
| 245. C9 | #1784 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Q8×D9 | 2 |
| C2×C9×#101 | 2 |
| C2×#63394 | 2 |
| #10588808 | 2 |
| C2×#63382 | 2 |
| #70113 | 3 |