Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C4×C461 ⋊ C4 |
| Sylow | C461 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3688 |
Polycyclic presentation:
2^5,461|a^2=e,c^2=d,b^a=bd,f^a=f^48,f^e=f^460940 conjugacy classes — view the full character table.
| maximal subgroup of | #44442943, #44442944, #44442947, … |
| maximal normal subgroup of | #44442943, #44442944, #44442947, … |
| maximal quotient of | #44443012, C4×C22⋊#14270406, C4×C4⋊#14270406, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 225);