Finite Group DatabasebetaFinite Group DatabasebetaOrder 35968.
250 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 65 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. #31823811 | C2 | semidirect |
| 2. #31823663 | C2 | semidirect |
| 4. #31823209 | C2 | semidirect |
| 5. Q8⋊#14555886 | C2 | semidirect |
| 6. D4⋊#14555886 | C2 | semidirect |
| 7. D4×Q8×C281 | C2 | semidirect |
| 65. Q8×C281 | D8 | semidirect |
| 67. D4×C281 | SD16 | semidirect |
| 99. C281 | #1627 | semidirect |
| 101. D4×Q8 | D281 | semidirect |
| 157. Q8 | #17985123 | semidirect |
| 164. D4 | #17985125 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #31823811 | 2 |
| #31823663 | 2 |
| #31823658 | 2 |
| #31823209 | 2 |
| Q8⋊#14555886 | 2 |
| D4⋊#14555886 | 2 |
| D4×Q8×C281 | 2 |
| #1627 | 281 |