Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
641 conjugacy classes of subgroups; only the 212 normal subgroups are shown.
This group has 641 conjugacy classes of subgroups — too many to draw. Only its 212 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 |
|---|---|---|
| 11. C8×C3⋊Dic3 | C4 | semidirect |
| 60. C32×C8 | C4⋊C4 | semidirect |
| 61. C3⋊(C3⋊C8) | C4⋊C4 | semidirect |
| 101. C3⋊Dic3 | #106 | semidirect |
| 134. C3×C8 | Dic3⋊C4 | semidirect |
| 175. C32 | #1844 | semidirect |
| 188. C8 | #3724 | semidirect |
| 208. C3 | #70554 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C8×C3⋊Dic3 | 2 |
| C2×C3×#817 | 2 |
| #10591359 | 2 |
| C2×#63574 | 2 |
| #70554 | 3 |