Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
502 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 502 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 |
|---|---|---|
| 1. C2×#15688951 | C2 | semidirect |
| 2. C2×#15688924 | C2 | semidirect |
| 3. C2×#15688898 | C2 | semidirect |
| 4. #20244255 | C2 | semidirect |
| 17. C2×D16×C47 | C4 | semidirect |
| 71. C16×C47 | C22⋊C4 | semidirect |
| 127. C2×D16 | Dic47 | semidirect |
| 137. C47 | #13239 | semidirect |
| 191. C16 | C22⋊Dic47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688951 | 2 |
| C2×#15688924 | 2 |
| C2×#15688898 | 2 |
| #20244255 | 2 |
| C22×D16×C47 | 2 |
| #13239 | 47 |