Finite Group DatabasebetaFinite Group Databasebeta| order | 16672 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C521 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16672 |
Polycyclic presentation:
2^5,521|a^2=d,b^2=c,d^2=e,b^a=bc,f^a=f^235,f^b=f^520,f^d=f^5201060 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45688290, #45688291, #45688292, … |
| maximal normal subgroup of | #45688290, #45688291, #45688292, … |
| maximal quotient of | #45688294, #45688296, #45688298, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16672, 213);