Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C42×C461 ⋊ C2 |
| Sylow | C461 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
Polycyclic presentation:
2^5,461|a^2=e,c^2=d,b^a=bd,f^b=f^4603700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44442030, #44442033, #44442091, … |
| maximal normal subgroup of | #44442030, #44442033, #44442091, … |
| maximal quotient of | #44441922, C4×#20301478, C4×#20301480, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 103);