Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C463 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14816 |
Polycyclic presentation:
2^5,463|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^4623716 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44444570, #97×D463, C2×#28414568, … |
| maximal normal subgroup of | #44444570, #97×D463, C2×#28414568, … |
| maximal quotient of | #44444514, #44444515, #44444547, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 56);