Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
370 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 93 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×#14273654 | C2 | semidirect |
| 3. #16837406 | C2 | semidirect |
| 4. #16837303 | C2 | semidirect |
| 5. #16837171 | C2 | semidirect |
| 6. #16837161 | C2 | semidirect |
| 7. C59×#520 | C2 | semidirect |
| 10. #14273752 | C4 | semidirect |
| 46. C2×D236 | C2×C4 | semidirect |
| 64. #11745664 | C2×C4 | semidirect |
| 75. Q8×C59 | C22⋊C4 | semidirect |
| 79. D4×C59 | C22⋊C4 | semidirect |
| 134. #520 | D59 | semidirect |
| 140. C59 | #1883 | semidirect |
| 208. Q8 | (C2×D59)⋊C4 | semidirect |
| 216. D4 | (C2×D59)⋊C4 | semidirect |