Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C4×C461 ⋊ C2 |
| Sylow | C461 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
Polycyclic presentation:
2^5,461|a^2=e,c^2=e,b^a=bd,f^b=f^460,f^c=f^4602320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44442156, #44442158, #44442161, … |
| maximal normal subgroup of | #44442156, #44442158, #44442161, … |
| maximal quotient of | #44441923, C4⋊C4×Dic461, #44441947, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 108);