Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
154 conjugacy classes of subgroups; only the 31 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 31 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 |
|---|---|---|
| 2. C2×#63540 | C2 | semidirect |
| 3. #10589140 | C2 | semidirect |
| 8. #63545 | C4 | semidirect |
| 104. C32 | #1415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#63545 | 2 |
| C2×#63540 | 2 |
| #10589140 | 2 |
| #1415 | 9 |