Finite Group DatabasebetaFinite Group Databasebeta| order | 14816 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C22⋊C4×C463 ⋊ C2 |
| Sylow | C463 ⋊ #124 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7408 |
Polycyclic presentation:
2^5,463|b^2=e,c^2=d,b^a=bd,c^a=ce,f^c=f^4622324 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #124×D463, C2×#28414644, #44445320, … |
| maximal normal subgroup of | #124×D463, C2×#28414644, #44445320, … |
| maximal quotient of | #44444657, #44444681, #44444682, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14816, 132);