Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
750 conjugacy classes of subgroups; only the 267 normal subgroups are shown.
This group has 750 conjugacy classes of subgroups — too many to draw. Only its 267 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 |
|---|---|---|
| 3. #20242998 | C2 | direct (N × H) |
| 74. C2×C47 | #1710 | semidirect |
| 87. C47 | C2×#1710 | semidirect |
| 142. C2 | #20242998 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689528 | 2 |
| C2×#15689474 | 2 |
| #20242998 | 2 |
| C2×C82×C47 | 2 |
| C2×#1710 | 47 |