Finite Group Databasebeta

← Group #288113

Character table — Group #288113

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882444444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11-111-1-111-1-111-11
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-11-1-111-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1111111-1-11-1
χ91111111111111111-1-1-1-11111111111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1111111-1-1-11
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-1-1-1-1111-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1111-1-111-1-1111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1111-1-1-1-111-1-1-11
χ17222222222-2-2222-2-20000-2-22222222200-2-200000000000000-2-2000000000000
χ18222222222-2-2222-2-20000-2-22222-2-2-2-200-2-20000000000000022000000000000
χ19222222222-2-2222-2-20000-2-2-2-2-2-222-2-2002200000000000000-22000000000000
χ20222222222-2-2222-2-20000-2-2-2-2-2-2-2-2220022000000000000002-2000000000000
χ2122222222-222-2-2-2222222-2-200000000-2-200000022-2-200002-200000000000000
χ2222222222-222-2-2-2222222-2-200000000-2-2000000-2-2220000-2200000000000000
χ2322222222-222-2-2-222-2-2-2-2-2-2000000002200000022-2-20000-2200000000000000
χ2422222222-222-2-2-222-2-2-2-2-2-20000000022000000-2-22200002-200000000000000
χ252-222-2-22-2-200-2220000000022-2-22i−2i2i−2i000000002−22−222−2−20000000000i2−i2i2−i200
χ262-222-2-22-2-200-2220000000022-2-22i−2i2i−2i00000000−22−22−2−2220000000000−i2i2−i2i200
χ272-222-2-22-2-200-2220000000022-2-2−2i2i−2i2i000000002−22−222−2−20000000000−i2i2−i2i200
χ282-222-2-22-2-200-2220000000022-2-2−2i2i−2i2i00000000−22−22−2−2220000000000i2−i2i2−i200
χ292-222-2-22-2-200-22200000000-2-2222i−2i−2i2i000000002−22−2−2−2220000000000i2−i2−i2i200
χ302-222-2-22-2-200-22200000000-2-2222i−2i−2i2i00000000−22−2222−2−20000000000−i2i2i2−i200
χ312-222-2-22-2-200-22200000000-2-222−2i2i2i−2i000000002−22−2−2−2220000000000−i2i2i2−i200
χ322-222-2-22-2-200-22200000000-2-222−2i2i2i−2i00000000−22−2222−2−20000000000i2−i2−i2i200
χ332-2-22-22-22222-22-2-2-22i2i−2i−2i-22000000002i−2i00000000002-22-2000000002i−2i000000
χ342-2-22-22-22222-22-2-2-22i2i−2i−2i-22000000002i−2i0000000000-22-2200000000−2i2i000000
χ352-2-22-22-22222-22-2-2-2−2i−2i2i2i-2200000000−2i2i00000000002-22-200000000−2i2i000000
χ362-2-22-22-22222-22-2-2-2−2i−2i2i2i-2200000000−2i2i0000000000-22-22000000002i−2i000000
χ372-2-22-22-22-2222-22-2-22i2i−2i−2i2-22-22-20000−2i2i2-22i2i−2i−2i000000000000000000000000
χ382-2-22-22-22-2222-22-2-22i2i−2i−2i2-2-22-220000−2i2i-22−2i−2i2i2i000000000000000000000000
χ392-2-22-22-22-2222-22-2-2−2i−2i2i2i2-22-22-200002i−2i2-2−2i−2i2i2i000000000000000000000000
χ402-2-22-22-22-2222-22-2-2−2i−2i2i2i2-2-22-2200002i−2i-222i2i−2i−2i000000000000000000000000
χ412-2-22-22-22-2-2-22-22220000-222-22-2000000-2200000000000000002-22-200000000
χ422-2-22-22-22-2-2-22-22220000-222-22-2000000-220000000000000000-22-2200000000
χ432-2-22-22-22-2-2-22-22220000-22-22-220000002-200000000000000002-2-2200000000
χ442-2-22-22-22-2-2-22-22220000-22-22-220000002-20000000000000000-222-200000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-44-4-404-40004-400000000000000000022−2222−22000000000000000000000000
χ47444-4-44-4-404-40004-4000000000000000000−2222−2222000000000000000000000000
χ48444-4-44-4-40-44000-444-44-4000000000000000000000000000000000000000000
χ49444-4-44-4-40-44000-44-44-44000000000000000000000000000000000000000000
χ5044-444-4-4-4400-4-44000000004-4-44000000000000000000000000000000000000
χ5144-444-4-4-4400-4-4400000000-444-4000000000000000000000000000000000000
χ5244-444-4-4-4-40044-4000000000000000000000000000022−22−22220000000000000000
χ5344-444-4-4-4-40044-40000000000000000000000000000−222222−220000000000000000
χ544-444-4-44-44004-4-400000000000000000000000022−22−222200000000000000000000
χ554-444-4-44-44004-4-4000000000000000000000000−222222−2200000000000000000000
χ564-4-44-44-444-4-4-44-44400004-40000000000000000000000000000000000000000
χ574-4-4-4444-404-4000-440000000000000000002i2−2i2−2i22i2000000000000000000000000
χ584-4-4-4444-404-4000-44000000000000000000−2i22i22i2−2i2000000000000000000000000
χ594-4-4-4444-40-440004-44i−4i−4i4i000000000000000000000000000000000000000000
χ604-4-4-4444-40-440004-4−4i4i4i−4i000000000000000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-88-88-8-88000000000000000000000000000000000000000000000000000000

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