Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#14270406)⋊C4 |
| Fitting | C2×C4×C461 ⋊ C4 |
| Sylow | C461 ⋊ #95 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3688 |
Polycyclic presentation:
2^5,461|a^2=d,b^2=e,b^a=bc,f^a=f^48,f^d=f^460940 conjugacy classes — view the full character table.
| maximal subgroup of | #44442927, #44442928, #44442929, … |
| maximal normal subgroup of | #44442927, #44442928, #44442929, … |
| maximal quotient of | (C2×#14270406)⋊C8, #44442942, #44442943, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 197);