Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
456 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 229 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 |
|---|---|---|
| 16. C2×C32×C8 | C8 | semidirect |
| 44. C2×C3×C8 | C3⋊C8 | semidirect |
| 82. C2×C8 | C3⋊(C3⋊C8) | semidirect |
| 94. C32 | #1281 | semidirect |
| 117. C3 | #67661 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C32×#97 | 2 |
| #10592624 | 2 |
| #67661 | 3 |