Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
726 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 17. #63781 | C4 | semidirect |
| 88. C2×#157 | C4⋊C4 | semidirect |
| 90. C2×C32×C4 | C4⋊C4 | semidirect |
| 92. C2×C3⋊Dic3 | C4⋊C4 | semidirect |
| 237. C32 | #1444 | semidirect |
| 279. C2×C4 | #3777 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊#157 | 2 |
| C22×#3777 | 2 |
| C2×#63781 | 2 |
| C2×#63747 | 2 |
| #1444 | 9 |