Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
334 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 105 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. C4×#622 | C4 | semidirect |
| 12. C4×#622 | C4 | semidirect |
| 13. #63745 | C4 | direct (N × H) |
| 46. #622 | C42 | semidirect |
| 64. C32×C4 | #106 | semidirect |
| 67. C3⋊Dic3 | #106 | semidirect |
| 120. C32 | C4×#106 | semidirect |
| 151. C4 | #63745 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊#157 | 2 |
| C4×#3787 | 2 |
| C2×#63745 | 2 |
| #10590093 | 2 |
| C4×#106 | 9 |