Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | SD16×C463 ⋊ C2 |
| Sylow | C463 ⋊ AGL(1,ℤ/8) |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3704 |
Polycyclic presentation:
2^5,463|d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^462,d^b=de,f^c=f^4621628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | AGL(1,ℤ/8)×D463, C2×#28414685, #44445590, … |
| maximal normal subgroup of | AGL(1,ℤ/8)×D463, C2×#28414685, #44445590, … |
| maximal quotient of | #44444793, #44444796, #44444832, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 173);