Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
554 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 2. #20248750 | C2 | semidirect |
| 4. #20241816 | C2 | semidirect |
| 5. #20241783 | C2 | semidirect |
| 6. #20241248 | C2 | semidirect |
| 94. C2×Q8×C47 | SD16 | semidirect |
| 252. C47 | #9999 | semidirect |
| 317. C2×Q8 | #10625335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253415 | 2 |
| #20248750 | 2 |
| #20241948 | 2 |
| #20241816 | 2 |
| #20241783 | 2 |
| #20241248 | 2 |
| C47×#3037 | 2 |
| #9999 | 47 |