Finite Group DatabasebetaFinite Group Databasebeta| order | 16672 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C8×C521 ⋊ C4 |
| Sylow | C521 ⋊ #97 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4168 |
Polycyclic presentation:
2^5,521|a^2=c,b^2=d,c^2=e,b^a=be,f^b=f^235,f^d=f^5201060 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45688322, #45688323, C2×#30659762, … |
| maximal normal subgroup of | #45688322, #45688323, C2×#30659762, … |
| maximal quotient of | #45688273, #45688274, #45688297, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16672, 200);