Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C463 ⋊ C2 |
| Sylow | C463 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7408 |
Polycyclic presentation:
2^5,463|a^2=d,d^2=e,c^b=ce,f^c=f^4623716 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44444576, #44444578, #44444908, … |
| maximal normal subgroup of | #44444576, #44444578, #44444908, … |
| maximal quotient of | #44444747, #44444748, #44444758, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 152);