Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
377 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 377 conjugacy classes of subgroups — too many to draw. Only its 140 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 |
|---|---|---|
| 21. C2×C3⋊(C3⋊C8) | C8 | semidirect |
| 138. C32 | #1281 | semidirect |
| 167. C3 | #67741 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63630 | 2 |
| C3×#4925 | 2 |
| #67741 | 3 |