Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
362 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 130 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. #10590175 | C2 | direct (N × H) |
| 7. C2×#3708 | C4 | semidirect |
| 21. #3708 | C2×C4 | semidirect |
| 74. C2×C32 | #346 | semidirect |
| 94. C32 | C2×#346 | semidirect |
| 116. C2 | #10590175 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#3708 | 2 |
| C2×C8×C3⋊Dic3 | 2 |
| #10590175 | 2 |
| C2×#346 | 9 |