Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M16×C461 ⋊ C2 |
| Sylow | C461 ⋊ #100 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3688 |
Polycyclic presentation:
2^5,461|a^2=d,d^2=e,b^a=bc,c^a=ce,d^b=de,f^b=f^4602311 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #100×D461, C2×#28414034, #44442058, … |
| maximal normal subgroup of | #100×D461, C2×#28414034, #44442058, … |
| maximal quotient of | #44441799, #44441815, #44441819, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 62);