Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C463 ⋊ C2 |
| Sylow | C463 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7408 |
Polycyclic presentation:
2^5,463|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^462,c^b=ce,f^b=f^4623710 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #102×D463, C2×#28414580, #44444788, … |
| maximal normal subgroup of | #102×D463, C2×#28414580, #44444788, … |
| maximal quotient of | #44444522, #44444528, #44444536, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 68);