Finite Group DatabasebetaFinite Group Databasebeta| order | 18272 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C571 ⋊ #100 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4568 |
Polycyclic presentation:
2^5,571|a^2=d,d^2=e,b^a=bc,c^a=ce,f^a=f^570,d^b=de2861 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49142052, #49142053, #49142055, … |
| maximal normal subgroup of | #49142052, #49142053, #49142055, … |
| maximal quotient of | #49141990, #49142006, #49142010, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18272, 63);