Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C461 ⋊ C4 |
| Sylow | C461 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3688 |
Polycyclic presentation:
2^5,461|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^48,f^d=f^460940 conjugacy classes — view the full character table.
| maximal subgroup of | #44442966, #44442967, C2×#28414172, … |
| maximal normal subgroup of | #44442966, #44442967, C2×#28414172, … |
| maximal quotient of | #44442917, #16814786⋊C8, (C2×#14270406)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 200);