Finite Group Databasebeta

← Group #290232

Character table — Group #290232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888844444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1-11
χ101111111111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1111-1
χ111111111111-1-1-1-111111111-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1
χ121111111111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-11
χ131111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-11-1
χ141111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-111-11
χ151111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-111-1-111-11
χ161111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-111-1-111-1-11-1
χ17222222222-2222222-2-22-2-2-222-2-2-20000000000000000000000002-22-20000000000
χ18222222222-2222222-2-22-2-2-222-2-2-2000000000000000000000000-22-220000000000
χ19222222222-2-2-2-2-222-2-22-2-2-2-2-22220000000000000000000000002-2-220000000000
χ20222222222-2-2-2-2-222-2-22-2-2-2-2-2222000000000000000000000000-222-20000000000
χ2122222222-222222-2-222-22-2-2-2-222-20000222200000000-2-2-2-2000000000000000000
χ2222222222-222222-2-222-22-2-2-2-222-20000-2-2-2-2000000002222000000000000000000
χ2322222222-22-2-2-2-2-2-222-22-2-222-2-22000022-2-200000000-2-222000000000000000000
χ2422222222-22-2-2-2-2-2-222-22-2-222-2-220000-2-2220000000022-2-2000000000000000000
χ2522222222-2-22222-2-2-2-2-2-222-2-2-2-222i2i−2i−2i000000002i2i−2i−2i0000000000000000000000
χ2622222222-2-22222-2-2-2-2-2-222-2-2-2-22−2i−2i2i2i00000000−2i−2i2i2i0000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i00000000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i000000002i2i−2i−2i0000000000000000000000
χ292222-2-2-2-22200002-22-2-2-22-2000002-22-2000022-2-200000000000000002-200000000
χ302222-2-2-2-22200002-22-2-2-22-2000002-22-20000-2-2220000000000000000-2200000000
χ312222-2-2-2-22200002-22-2-2-22-200000-22-22000022-2-20000000000000000-2200000000
χ322222-2-2-2-22200002-22-2-2-22-200000-22-220000-2-22200000000000000002-200000000
χ332222-2-2-2-2-2-20000-22-22222-2000002i−2i−2i2i000000000000000022-2-20000002i−2i000000
χ342222-2-2-2-2-2-20000-22-22222-2000002i−2i−2i2i0000000000000000-2-222000000−2i2i000000
χ352222-2-2-2-2-2-20000-22-22222-200000−2i2i2i−2i000000000000000022-2-2000000−2i2i000000
χ362222-2-2-2-2-2-20000-22-22222-200000−2i2i2i−2i0000000000000000-2-2220000002i−2i000000
χ372-2-222-2-220222-2-200-220-200002-2000002-22-2i2−i2i2−i200000000i2−i2i2−i200000000i2−i2i2−i200
χ382-2-222-2-220222-2-200-220-200002-2000002-22-2−i2i2−i2i200000000−i2i2−i2i200000000−i2i2−i2i200
χ392-2-222-2-220222-2-200-220-200002-200000-22-22i2−i2i2−i200000000i2−i2i2−i200000000−i2i2−i2i200
χ402-2-222-2-220222-2-200-220-200002-200000-22-22−i2i2−i2i200000000−i2i2−i2i200000000i2−i2i2−i200
χ412-2-222-2-2202-2-22200-220-20000-22000002-2-22i2−i2i2−i200000000−i2i2−i2i200000000i2−i2−i2i200
χ422-2-222-2-2202-2-22200-220-20000-22000002-2-22−i2i2−i2i200000000i2−i2i2−i200000000−i2i2i2−i200
χ432-2-222-2-2202-2-22200-220-20000-2200000-222-2i2−i2i2−i200000000−i2i2−i2i200000000−i2i2i2−i200
χ442-2-222-2-2202-2-22200-220-20000-2200000-222-2−i2i2−i2i200000000i2−i2i2−i200000000i2−i2−i2i200
χ454444-4-4-4-44-400004-4-44-44-440000000000000000000000000000000000000000000
χ464444-4-4-4-4-440000-444-44-4-440000000000000000000000000000000000000000000
χ4744-4-444-4-4400000-4400-40000000000000000000022−2222−220000000000000000000000
χ4844-4-444-4-4400000-4400-400000000000000000000−2222−22220000000000000000000000
χ4944-4-444-4-4-4000004-4004000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5044-4-444-4-4-4000004-400400000000000000000000−2i22i22i2−2i20000000000000000000000
χ5144-4-4-4-444404i−4i4i−4i-4-40040004i−4i00000000000000000000000000000000000000000
χ5244-4-4-4-44440−4i4i−4i4i-4-4004000−4i4i00000000000000000000000000000000000000000
χ5344-4-4-4-444-404i−4i4i−4i4400-4000−4i4i00000000000000000000000000000000000000000
χ5444-4-4-4-444-40−4i4i−4i4i4400-40004i−4i00000000000000000000000000000000000000000
χ554-44-4-44-44004i−4i−4i4i000000000000000000000000000002i2−2i222−22000000000000000000
χ564-44-4-44-44004i−4i−4i4i00000000000000000000000000000−2i22i2−2222000000000000000000
χ574-44-4-44-4400−4i4i4i−4i000000000000000000000000000002i2−2i2−2222000000000000000000
χ584-44-4-44-4400−4i4i4i−4i00000000000000000000000000000−2i22i222−22000000000000000000
χ594-4-444-4-440-444-4-4004-4040000-44000000000000000000000000000000000000000
χ604-4-444-4-440-4-4-444004-40400004-4000000000000000000000000000000000000000
χ614-4-44-444-404000000-4-4040000000000000002i2−2i2−2i22i200000000000000000000000000
χ624-4-44-444-404000000-4-404000000000000000−2i22i22i2−2i200000000000000000000000000
χ634-4-44-444-40-4000000440-40000000000000000000000000002i2−2i2−2i22i200000000000000
χ644-4-44-444-40-4000000440-4000000000000000000000000000−2i22i22i2−2i200000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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