Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
1134 conjugacy classes of subgroups; only the 408 normal subgroups are shown.
This group has 1134 conjugacy classes of subgroups — too many to draw. Only its 408 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. #10589921 | C2 | semidirect |
| 3. #10588915 | C2 | semidirect |
| 4. C2×#63391 | C2 | semidirect |
| 13. C2×#3667 | C22 | semidirect |
| 14. #63394 | C22 | semidirect |
| 15. #63391 | C22 | semidirect |
| 150. C9 | #2888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C9×H(5,𝔽2) | 2 |
| #10589921 | 2 |
| #10588915 | 2 |
| C2×#63391 | 2 |
| #84100 | 3 |