Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C461 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14752 |
Polycyclic presentation:
2^5,461|a^2=d,b^2=c,d^2=e,b^a=bc,f^a=f^48,f^b=f^460,f^d=f^460940 conjugacy classes — view the full character table.
| maximal subgroup of | #44442934, #44442935, #44442936, … |
| maximal normal subgroup of | #44442934, #44442935, #44442936, … |
| maximal quotient of | #44442938, #44442940, #44442942, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 213);