Finite Group DatabasebetaFinite Group DatabasebetaOrder 2304.
252 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 139 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 |
|---|---|---|
| 19. C3⋊(C3⋊C32) | C8 | semidirect |
| 101. C32 | #7463 | semidirect |
| 118. C3 | #10682869 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11772661 | 2 |
| #11772234 | 2 |
| C32×#1372 | 2 |
| #10682869 | 3 |