Finite Group DatabasebetaFinite Group DatabasebetaOrder 9088.
552 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 173 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×#14556161 | C2 | semidirect |
| 3. C2×#14556128 | C2 | semidirect |
| 4. #17986393 | C2 | semidirect |
| 5. #17986379 | C2 | semidirect |
| 6. #17986372 | C2 | semidirect |
| 7. C4×M16×C71 | C2 | semidirect |
| 44. M16×C71 | D4 | semidirect |
| 75. C4×C71 | #137 | semidirect |
| 84. C71 | #3152 | semidirect |
| 91. C4×M16 | D71 | semidirect |
| 124. M16 | D284 | semidirect |
| 161. C4 | #14556161 | semidirect |