Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
190 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 5. C2×#3708 | C4 | semidirect |
| 7. #63769 | C4 | semidirect |
| 83. C32 | #1380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63769 | 2 |
| C2×#63764 | 2 |
| #1380 | 9 |