Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
170 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14273671 | C2 | semidirect |
| 3. #16837786 | C2 | semidirect |
| 4. C4⋊(C59⋊C16) | C2 | semidirect |
| 5. #16837205 | C2 | semidirect |
| 6. #16837202 | C2 | semidirect |
| 7. C4×D8×C59 | C2 | semidirect |
| 80. C4×D8 | D59 | semidirect |
| 84. C59 | #2210 | semidirect |