Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
480 conjugacy classes of subgroups; only the 261 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 261 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. #10589332 | C2 | semidirect |
| 10. #63639 | C4 | semidirect |
| 12. C2×C3⋊(C3⋊C16) | C4 | semidirect |
| 106. C32 | #2110 | semidirect |
| 127. C3 | #69884 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C32×#405 | 2 |
| C2×#63639 | 2 |
| #10589332 | 2 |
| #69884 | 3 |