Finite Group Databasebeta

← Group #280236

Character table — Group #280236

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-11-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-11111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111
χ91111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1
χ111111111111111111-1-1-1-1111111-1-1111111-1-1111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-111-1-111-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-111111-1-111-1-1-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1111111-1-111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-111111
χ17222222222-22-2-222-22222-2-2000022000000-2-20022-2-200000000000-200000000000
χ18222222222-22-2-222-22222-2-20000-2-2000000-2-200-2-22200000000000200000000000
χ19222222222-22-2-222-2-2-2-2-2-2-20000220000002200-2-22200000000000-200000000000
χ20222222222-22-2-222-2-2-2-2-2-2-20000-2-2000000220022-2-200000000000200000000000
χ2122222222-22-222-2-220000-2-22222002222-2-200-2-2000000000000-200000000000000
χ2222222222-22-222-2-220000-2-2222200-2-2-2-22200-2-2000000000000200000000000000
χ2322222222-22-222-2-220000-2-2-2-2-2-20022-2-2220022000000000000-200000000000000
χ2422222222-22-222-2-220000-2-2-2-2-2-200-2-222-2-20022000000000000200000000000000
χ2522-22-2-2-2220-200-2202i2i−2i−2i00i2i2−i2−i22-200000000i2−i22i−2i0022−2−222−2−2000000000000i2−i20
χ2622-22-2-2-2220-200-2202i2i−2i−2i00i2i2−i2−i2-2200000000i2−i2−2i2i0022−2−2−2−222000000000000−i2i20
χ2722-22-2-2-2220-200-2202i2i−2i−2i00−i2−i2i2i22-200000000−i2i22i−2i00−2−222−2−222000000000000−i2i20
χ2822-22-2-2-2220-200-2202i2i−2i−2i00−i2−i2i2i2-2200000000−i2i2−2i2i00−2−22222−2−2000000000000i2−i20
χ2922-22-2-2-2220-200-220−2i−2i2i2i00i2i2−i2−i22-200000000i2−i2−2i2i00−2−222−2−222000000000000i2−i20
χ3022-22-2-2-2220-200-220−2i−2i2i2i00i2i2−i2−i2-2200000000i2−i22i−2i00−2−22222−2−2000000000000−i2i20
χ3122-22-2-2-2220-200-220−2i−2i2i2i00−i2−i2i2i22-200000000−i2i2−2i2i0022−2−222−2−2000000000000−i2i20
χ3222-22-2-2-2220-200-220−2i−2i2i2i00−i2−i2i2i2-2200000000−i2i22i−2i0022−2−2−2−222000000000000i2−i20
χ332-2-22-222-222-2-2-22-222i−2i2i−2i2-20000000000002i−2i0000000000000000002-200002i−2i000
χ342-2-22-222-222-2-2-22-222i−2i2i−2i2-20000000000002i−2i000000000000000000-220000−2i2i000
χ352-2-22-222-222-2-2-22-22−2i2i−2i2i2-2000000000000−2i2i0000000000000000002-20000−2i2i000
χ362-2-22-222-222-2-2-22-22−2i2i−2i2i2-2000000000000−2i2i000000000000000000-2200002i−2i000
χ372-2-22-222-22-2-2222-2-22i−2i2i−2i-22000000002-22-2−2i2i000000000000000000002i−2i0000000
χ382-2-22-222-22-2-2222-2-22i−2i2i−2i-2200000000-22-22−2i2i00000000000000000000−2i2i0000000
χ392-2-22-222-22-2-2222-2-2−2i2i−2i2i-22000000002-22-22i−2i00000000000000000000−2i2i0000000
χ402-2-22-222-22-2-2222-2-2−2i2i−2i2i-2200000000-22-222i−2i000000000000000000002i−2i0000000
χ412-2-22-222-2-2-2222-22-200002-2000000002-2-22000000002i−2i2i−2i000002i−2i000000000000
χ422-2-22-222-2-2-2222-22-200002-2000000002-2-2200000000−2i2i−2i2i00000−2i2i000000000000
χ432-2-22-222-2-2-2222-22-200002-200000000-222-2000000002i−2i2i−2i00000−2i2i000000000000
χ442-2-22-222-2-2-2222-22-200002-200000000-222-200000000−2i2i−2i2i000002i−2i000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ4644-44-4-4-44-404004-400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ4744-44-4-4-44-404004-40000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ4844-4-444-4-40404-400-400000000000000000000000000000000000000000022−2200000
χ4944-4-444-4-40404-400-4000000000000000000000000000000000000000000−222200000
χ5044-4-444-4-40-40-440040000000000004i−4i00000000000000000000000000000000000
χ5144-4-444-4-40-40-44004000000000000−4i4i00000000000000000000000000000000000
χ524-4444-4-4-440400-4-404-4-44000000000000000000000000000000000000000000000
χ534-4444-4-4-440400-4-40-444-4000000000000000000000000000000000000000000000
χ544-4444-4-4-4-40-400440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ554-4444-4-4-4-40-40044000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ564-44-4-44-44040-4400-40000004i−4i4i−4i000000000000000000000000000000000000000
χ574-44-4-44-44040-4400-4000000−4i4i−4i4i000000000000000000000000000000000000000
χ584-44-4-44-440-404-400400000000000000000000000000000022−2222−22000000000000000
χ594-44-4-44-440-404-4004000000000000000000000000000000−2222−2222000000000000000
χ604-4-44-444-4-444-4-4-4440000-440000000000000000000000000000000000000000000
χ614-4-4-44-4440000000000000022−22−22220000000000000022−2200002-2-22000000000000000
χ624-4-4-44-4440000000000000022−22−222200000000000000−22220000-222-2000000000000000
χ634-4-4-44-44400000000000000−222222−220000000000000022−220000-222-2000000000000000
χ644-4-4-44-44400000000000000−222222−2200000000000000−222200002-2-22000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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