Finite Group DatabasebetaFinite Group DatabasebetaOrder 1152.
302 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 80 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 |
|---|---|---|
| 13. C4⋊AGL(1,𝔽9) | C4 | semidirect |
| 88. C32×C4 | #106 | semidirect |
| 89. C3⋊Dic3 | #106 | semidirect |
| 150. C32 | #1948 | semidirect |
| 198. C4 | AGL(1,𝔽9)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4⋊AGL(1,𝔽9) | 2 |
| C2×AGL(1,𝔽9)⋊C4 | 2 |
| C4×#3777 | 2 |
| #10593413 | 2 |
| #10593166 | 2 |
| #1948 | 9 |