Finite Group Databasebeta

← Group #299191

Character table — Group #299191

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222222222444488888888888888888888888888161616161616161632323232
order12222222444444444444444424888888888888888888888888224444442444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ911111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11
χ1011111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ1111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1111-11-1
χ1211111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-11-11
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-11-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11-11-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11
χ172222222222-2-2-2-2-2-2-2-22222-2-22-2000000000000000022-2-222-2-2000000000000
χ182222222222-2-2-2-2-2-2-2-22222-2-22-20000000000000000-2-222-2-222000000000000
χ192222222222-2-2-2-2-2-2-2-222-2-222-22000000000000000022-2-2-2-222000000000000
χ202222222222-2-2-2-2-2-2-2-222-2-222-220000000000000000-2-22222-2-2000000000000
χ2122222222-2-22222-2-2-2-2-2-22222-2-222-2-222-2-20000000000000000000000000000
χ2222222222-2-22222-2-2-2-2-2-22222-2-2-2-222-2-2220000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2220000000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-222-2-22222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-222-2-2-220000000022-2-222-2-200000000000000000000
χ2622222222-2-2-2-2-2-22222-2-222-2-2-2200000000-2-222-2-22200000000000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2222-20000000022-2-2-2-22200000000000000000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2222-200000000-2-22222-2-200000000000000000000
χ292-2-22-2-222-2-222-2-222-2-22200000000000000000000002-22-200002-22-200000000
χ302-2-22-2-222-2-222-2-222-2-22200000000000000000000002-22-20000-22-2200000000
χ312-2-22-2-222-2-222-2-222-2-2220000000000000000000000-22-2200002-2-2200000000
χ322-2-22-2-222-2-222-2-222-2-2220000000000000000000000-22-220000-222-200000000
χ332-2-22-2-222-2-2-2-222-2-2222200000000000000000000002-2-22000000002-22-20000
χ342-2-22-2-222-2-2-2-222-2-2222200000000000000000000002-2-2200000000-22-220000
χ352-2-22-2-222-2-2-2-222-2-222220000000000000000000000-222-2000000002-2-220000
χ362-2-22-2-222-2-2-2-222-2-222220000000000000000000000-222-200000000-222-20000
χ374444-4-4-4-44-4000000004-400000022−2222−2200000000000000000000000000000000
χ384444-4-4-4-44-4000000004-4000000−2222−222200000000000000000000000000000000
χ394444-4-4-4-4-4400000000-4400000022−22−222200000000000000000000000000000000
χ404444-4-4-4-4-4400000000-44000000−222222−2200000000000000000000000000000000
χ4144-4-44-44-4004-44-4000000000000000000000000000000002i2−2i22i2−2i2000000000000
χ4244-4-44-44-4004-44-400000000000000000000000000000000−2i22i2−2i22i2000000000000
χ4344-4-44-44-400-44-44000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ4444-4-44-44-400-44-4400000000000000000000000000000000−2i22i22i2−2i2000000000000
χ4544-4-4-44-440000004-44-400000000000000000000004-400000000000000000000
χ4644-4-4-44-440000004-44-40000000000000000000000-4400000000000000000000
χ4744-4-4-44-44000000-44-44000000000000000000004-40000000000000000000000
χ4844-4-4-44-44000000-44-4400000000000000000000-440000000000000000000000
χ494-44-44-4-440000004-4-4400000000000022−2222−220000000000000000000000000000
χ504-44-44-4-440000004-4-44000000000000−2222−22220000000000000000000000000000
χ514-44-44-4-44000000-444-400000000000022−22−22220000000000000000000000000000
χ524-44-44-4-44000000-444-4000000000000−222222−220000000000000000000000000000
χ534-44-4-444-4004-4-440000004i−4i4i−4i00000000000000000000000000000000000000
χ544-44-4-444-4004-4-44000000−4i4i−4i4i00000000000000000000000000000000000000
χ554-44-4-444-400-444-40000004i−4i−4i4i00000000000000000000000000000000000000
χ564-44-4-444-400-444-4000000−4i4i4i−4i00000000000000000000000000000000000000
χ574-4-4444-4-44-400000000-44000000000000002i2−2i22i2−2i2000000000000000000000000
χ584-4-4444-4-44-400000000-4400000000000000−2i22i2−2i22i2000000000000000000000000
χ594-4-4444-4-4-44000000004-4000000000000002i2−2i2−2i22i2000000000000000000000000
χ604-4-4444-4-4-44000000004-400000000000000−2i22i22i2−2i2000000000000000000000000
χ614-4-44-4-4444444-4-4-4-444-4-4000000000000000000000000000000000000000000
χ624-4-44-4-44444-4-44444-4-4-4-4000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).