Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
438 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×D4×Dic59 | C2 | semidirect |
| 3. C2×#14273649 | C2 | semidirect |
| 4. #16837303 | C2 | semidirect |
| 5. #16837164 | C2 | semidirect |
| 6. #16837156 | C2 | semidirect |
| 7. C2×#102×C59 | C2 | semidirect |
| 12. C2×#11745669 | C4 | semidirect |
| 47. C2×D236 | C2×C4 | semidirect |
| 63. C2×C59⋊C8 | C2×C4 | semidirect |
| 82. D4×C59 | C22⋊C4 | semidirect |
| 101. C2×Dic59 | D8 | semidirect |
| 150. C2×#102 | D59 | semidirect |
| 154. C59 | #1879 | semidirect |
| 233. D4 | (C2×D59)⋊C4 | semidirect |