Finite Group Databasebeta

← Group #280331

Character table — Group #280331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888222244444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11111-1-1-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11
χ91111111111111111-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-11-1-1-1-1-1-1-11111-1
χ111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-111111111-1-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111111111-1111-1-1-1-111-1-1-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1111
χ17222222222-222-2-2-222222-2-200000022-2-200000022-2-200000000000-200000000000
χ18222222222-222-2-2-222222-2-2000000-2-2-2-2000000-2-22200000000000200000000000
χ19222222222-222-2-2-22-2-2-2-2-2-20000002222000000-2-22200000000000-200000000000
χ20222222222-222-2-2-22-2-2-2-2-2-2000000-2-22200000022-2-200000000000200000000000
χ2122222222-22-2-2222-20000-2-22222220000-2-222-2-200000000000000-2000000000000
χ2222222222-22-2-2222-20000-2-22222-2-2000022-2-2-2-2000000000000002000000000000
χ2322222222-22-2-2222-20000-2-2-2-2-2-222000022-2-22200000000000000-2000000000000
χ2422222222-22-2-2222-20000-2-2-2-2-2-2-2-20000-2-22222000000000000002000000000000
χ252-2-2222-2-222-2-2-22-2200002-200000000002i−2i2i−2i0000002i2i−2i−2i00002-20000000000000
χ262-2-2222-2-222-2-2-22-2200002-200000000002i−2i2i−2i000000−2i−2i2i2i0000-220000000000000
χ272-2-2222-2-222-2-2-22-2200002-20000000000−2i2i−2i2i0000002i2i−2i−2i0000-220000000000000
χ282-2-2222-2-222-2-2-22-2200002-20000000000−2i2i−2i2i000000−2i−2i2i2i00002-20000000000000
χ292-2-2222-2-2-2222-22-2-222-2-2-22000000002-22i−2i−2i2i000000000000000000002i−2i0000000
χ302-2-2222-2-2-2222-22-2-222-2-2-22000000002-2−2i2i2i−2i00000000000000000000−2i2i0000000
χ312-2-2222-2-2-2222-22-2-2-2-222-2200000000-222i−2i−2i2i00000000000000000000−2i2i0000000
χ322-2-2222-2-2-2222-22-2-2-2-222-2200000000-22−2i2i2i−2i000000000000000000002i−2i0000000
χ332-2-2222-2-2-2-2222-22-222-2-22-200000000-2200000000000000000000002i−2i0000002i−2i0
χ342-2-2222-2-2-2-2222-22-222-2-22-200000000-220000000000000000000000−2i2i000000−2i2i0
χ352-2-2222-2-2-2-2222-22-2-2-2222-2000000002-200000000000000000000002i−2i000000−2i2i0
χ362-2-2222-2-2-2-2222-22-2-2-2222-2000000002-20000000000000000000000−2i2i0000002i−2i0
χ372-2-2-22-222-202-200022-22-20022−2−2002-20000002−22-2002−22−222−2−2000000002−200000
χ382-2-2-22-222-202-200022-22-20022−2−200-220000002−2-22002−22−2−2−22200000000−2200000
χ392-2-2-22-222-202-200022-22-200−2−222002-2000000−222-200−22−22−2−22200000000−2200000
χ402-2-2-22-222-202-200022-22-200−2−22200-22000000−22-2200−22−2222−2−2000000002−200000
χ412-2-2-22-222-202-20002-22-220022−2−2002-20000002−2-2200−22−22−2−222000000002−200000
χ422-2-2-22-222-202-20002-22-220022−2−200-220000002−22-200−22−2222−2−200000000−2200000
χ432-2-2-22-222-202-20002-22-2200−2−222002-2000000−22-22002−22−222−2−200000000−2200000
χ442-2-2-22-222-202-20002-22-2200−2−22200-22000000−222-2002−22−2−2−222000000002−200000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-44-4-4-4404-4000-44-4-44000000000000000000000000000000000000000000000
χ47444-44-4-4-4404-4000-4-444-4000000000000000000000000000000000000000000000
χ48444-44-4-4-4-40-440004000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ49444-44-4-4-4-40-44000400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5044-44-4-44-4000000000000002i2−2i22i2−2i2000000000000002i2−2i200002-22-2000000000000000
χ5144-44-4-44-4000000000000002i2−2i22i2−2i200000000000000−2i22i20000-22-22000000000000000
χ5244-44-4-44-400000000000000−2i22i2−2i22i2000000000000002i2−2i20000-22-22000000000000000
χ5344-44-4-44-400000000000000−2i22i2−2i22i200000000000000−2i22i200002-22-2000000000000000
χ5444-4-4-44-440400-4-44000000000004-40000000000000000000000000000000000000
χ5544-4-4-44-440400-4-4400000000000-440000000000000000000000000000000000000
χ5644-4-4-44-440-40044-400000000000000000000000000000000000000000000022−22000
χ5744-4-4-44-440-40044-4000000000000000000000000000000000000000000000−2222000
χ584-44-4-444-404004-4-400000004i−4i−4i4i000000000000000000000000000000000000000
χ594-44-4-444-404004-4-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ604-44-4-444-40-400-444000000000000000000000000000000022−22−2222000000000000000
χ614-44-4-444-40-400-4440000000000000000000000000000000−222222−22000000000000000
χ624-4-4444-4-44-4-4-44-4440000-440000000000000000000000000000000000000000000
χ634-4-4-44-44440-44000-40000002222−22−220000000000−2222000000000000000000000000000
χ644-4-4-44-44440-44000-4000000−22−222222000000000022−22000000000000000000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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