Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
497 conjugacy classes of subgroups; only the 164 normal subgroups are shown.
This group has 497 conjugacy classes of subgroups — too many to draw. Only its 164 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 |
|---|---|---|
| 166. C32 | #1849 | semidirect |
| 197. C3 | #70694 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63642 | 2 |
| C2×C3×#819 | 2 |
| C2×#63578 | 2 |
| #10591120 | 2 |
| #70694 | 3 |