Finite Group Databasebeta

← Group #281100

Character table — Group #281100

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444444444448888444444888888888888882244444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1111-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111111111111111-11-1-1-11-1-111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-111-1-1111-1
χ71111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-1111-1
χ81111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1111111-1-1-11
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-111111-11-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111-1-1-1-111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1111111-1-11-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1111-1-1-1-111-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-111-1-111-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-111111-1-1-1-111-1-11-1
χ17222222222-222-2-2-222222-2-200000000-2-20022-2-20000000002000-20000000000
χ18222222222-222-2-2-222222-2-200000000-2-200-2-222000000000-200020000000000
χ19222222222-222-2-2-22-2-2-2-2-2-200000000220022-2-2000000000-200020000000000
χ20222222222-222-2-2-22-2-2-2-2-2-2000000002200-2-2220000000002000-20000000000
χ2122222222-22-2-2222-20000-2-22222222200-2-2000000000000-20-20000000000000
χ2222222222-22-2-2222-20000-2-22222-2-2-2-200-2-20000000000002020000000000000
χ2322222222-22-2-2222-20000-2-2-2-2-2-222-2-20022000000000000-2020000000000000
χ2422222222-22-2-2222-20000-2-2-2-2-2-2-2-222002200000000000020-20000000000000
χ252-222-2-22-222-2-2-22-222i2i−2i−2i-22000000002i−2i000000000022-2-2000000002i−2i000000
χ262-222-2-22-222-2-2-22-222i2i−2i−2i-22000000002i−2i0000000000-2-22200000000−2i2i000000
χ272-222-2-22-222-2-2-22-22−2i−2i2i2i-2200000000−2i2i000000000022-2-200000000−2i2i000000
χ282-222-2-22-222-2-2-22-22−2i−2i2i2i-2200000000−2i2i0000000000-2-222000000002i−2i000000
χ292-222-2-22-22-2-2-22-2222i2i−2i−2i2-222-2-20000−2i2i2-200002i2i−2i−2i00000000000000000000
χ302-222-2-22-22-2-2-22-2222i2i−2i−2i2-2-2-2220000−2i2i-220000−2i−2i2i2i00000000000000000000
χ312-222-2-22-22-2-2-22-222−2i−2i2i2i2-222-2-200002i−2i2-20000−2i−2i2i2i00000000000000000000
χ322-222-2-22-22-2-2-22-222−2i−2i2i2i2-2-2-22200002i−2i-2200002i2i−2i−2i00000000000000000000
χ332-222-2-22-2-2-2222-22-20000-2222-2-2000000-220000000000000002i−2i02i−2i00000000
χ342-222-2-22-2-2-2222-22-20000-2222-2-2000000-22000000000000000−2i2i0−2i2i00000000
χ352-222-2-22-2-2-2222-22-20000-22-2-2220000002-20000000000000002i−2i0−2i2i00000000
χ362-222-2-22-2-2-2222-22-20000-22-2-2220000002-2000000000000000−2i2i02i−2i00000000
χ372-2-2-2222-20-20022-200000002i−2i2i−2i2i−2i2-20000i2−i2i2−i200002−22−200000000002−2i2−i200
χ382-2-2-2222-20-20022-200000002i−2i2i−2i2i−2i2-20000−i2i2−i2i20000−22−220000000000−22−i2i200
χ392-2-2-2222-20-20022-200000002i−2i2i−2i−2i2i-220000i2−i2i2−i200002−22−20000000000−22−i2i200
χ402-2-2-2222-20-20022-200000002i−2i2i−2i−2i2i-220000−i2i2−i2i20000−22−2200000000002−2i2−i200
χ412-2-2-2222-20-20022-20000000−2i2i−2i2i2i−2i-220000i2−i2i2−i20000−22−2200000000002−2−i2i200
χ422-2-2-2222-20-20022-20000000−2i2i−2i2i2i−2i-220000−i2i2−i2i200002−22−20000000000−22i2−i200
χ432-2-2-2222-20-20022-20000000−2i2i−2i2i−2i2i2-20000i2−i2i2−i20000−22−220000000000−22i2−i200
χ442-2-2-2222-20-20022-20000000−2i2i−2i2i−2i2i2-20000−i2i2−i2i200002−22−200000000002−2−i2i200
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-44-4-4-4404-4000-44-44-4000000000000000000000000000000000000000000
χ47444-44-4-4-4404-4000-4-44-44000000000000000000000000000000000000000000
χ48444-44-4-4-4-40-44000400000000000000000000002i2−2i22i2−2i200000000000000000000
χ49444-44-4-4-4-40-4400040000000000000000000000−2i22i2−2i22i200000000000000000000
χ5044-4-4-4-44404004-4-400000004i−4i−4i4i000000000000000000000000000000000000
χ5144-4-4-4-44404004-4-40000000−4i4i4i−4i000000000000000000000000000000000000
χ5244-4-4-4-4440-400-44400000000000000000000000000022−22−22220000000000000000
χ5344-4-4-4-4440-400-444000000000000000000000000000−222222−220000000000000000
χ544-444-4-44-4-4444-44-4-400004-40000000000000000000000000000000000000000
χ554-44-4-44-4440-44000-44i−4i−4i4i000000000000000000000000000000000000000000
χ564-44-4-44-4440-44000-4−4i4i4i−4i000000000000000000000000000000000000000000
χ574-44-4-44-44-404-40004000000000000000000000022−22−222200000000000000000000
χ584-44-4-44-44-404-400040000000000000000000000−222222−2200000000000000000000
χ594-4-4-4444-40400-4-4400000000000000000002i2−2i2−2i22i2000000000000000000000000
χ604-4-4-4444-40400-4-440000000000000000000−2i22i22i2−2i2000000000000000000000000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8-888-8-88000000000000000000000000000000000000000000000000000000

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