Finite Group Databasebeta

← Group #275068

Character table — Group #275068

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444442244444488882244488888888888888888824444488888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111-1-1
χ31111111111111111111111111111-1-11-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1111111-1-1
χ91111111111111111-1-111-1-1-1-1111111-11111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-11-1
χ101111111111111111-1-111-1-1-1-1111111-11111-1-1-1-11111-1-1-1-11111-1-1-111-1-1-111-1-1-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111111-1-111-11
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-111111-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11111-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-111-111-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-1111-1-111-1-11-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1111-1-1-1-1-11
χ17222222222-2-222-2-2222-2-222-2-2000022-2-2-2000000000000000000-20000200000000
χ18222222222-2-222-2-2222-2-222-2-20000-2-2-22200000000000000000020000-200000000
χ19222222222-2-222-2-22-2-2-2-2-2-2220000222-2-200000000000000000020000-200000000
χ20222222222-2-222-2-22-2-2-2-2-2-2220000-2-2222000000000000000000-20000200000000
χ2122222222-222-2-222-222-2-2-2-222222200-200-2-2-2-22200000000000000000000000000
χ2222222222-222-2-222-222-2-2-2-222-2-2-2-200-2002222-2-200000000000000000000000000
χ2322222222-222-2-222-2-2-2-2-222-2-2222200200-2-222-2-200000000000000000000000000
χ2422222222-222-2-222-2-2-2-2-222-2-2-2-2-2-20020022-2-22200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-20000002000000002i2i−2i−2i0000000000000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-2000000200000000−2i−2i2i2i000000000000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-2000000002i2i−2i−2i000000000000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-200000000−2i−2i2i2i0000000000000000002i−2i00
χ292-22-2-2-22222-22-22-2-2002-2000000002-202-200000000002i2i−2i−2i000002i−2i00000000000
χ302-22-2-2-22222-22-22-2-2002-2000000002-202-20000000000−2i−2i2i2i00000−2i2i00000000000
χ312-22-2-2-22222-22-22-2-2002-200000000-220-2200000000002i2i−2i−2i00000−2i2i00000000000
χ322-22-2-2-22222-22-22-2-2002-200000000-220-220000000000−2i−2i2i2i000002i−2i00000000000
χ332-22-2-2-2222-222-2-22-200-22000000002-20-22000000000000002i2i−2i−2i0002i−2i000000000
χ342-22-2-2-2222-222-2-22-200-22000000002-20-2200000000000000−2i−2i2i2i000−2i2i000000000
χ352-22-2-2-2222-222-2-22-200-2200000000-2202-2000000000000002i2i−2i−2i000−2i2i000000000
χ362-22-2-2-2222-222-2-22-200-2200000000-2202-200000000000000−2i−2i2i2i0002i−2i000000000
χ372-2-222-22-202200-2-202-200002-22i2i−2i−2i0000000002i−2i00002−22−22−22−2000000i2−i2i2−i20000
χ382-2-222-22-202200-2-202-200002-22i2i−2i−2i0000000002i−2i0000−22−22−22−22000000−i2i2−i2i20000
χ392-2-222-22-202200-2-202-200002-2−2i−2i2i2i000000000−2i2i00002−22−22−22−2000000−i2i2−i2i20000
χ402-2-222-22-202200-2-202-200002-2−2i−2i2i2i000000000−2i2i0000−22−22−22−22000000i2−i2i2−i20000
χ412-2-222-22-202200-2-20-220000-222i2i−2i−2i000000000−2i2i00002−22−2−22−22000000i2−i2−i2i20000
χ422-2-222-22-202200-2-20-220000-222i2i−2i−2i000000000−2i2i0000−22−222−22−2000000−i2i2i2−i20000
χ432-2-222-22-202200-2-20-220000-22−2i−2i2i2i0000000002i−2i00002−22−2−22−22000000−i2i2i2−i20000
χ442-2-222-22-202200-2-20-220000-22−2i−2i2i2i0000000002i−2i0000−22−222−22−2000000i2−i2−i2i20000
χ4544-44-4-4-44400-4-4004000000002i2−2i22i2−2i2000002i2−2i2000000000000000000000000000000
χ4644-44-4-4-44400-4-400400000000−2i22i2−2i22i200000−2i22i2000000000000000000000000000000
χ4744-44-4-4-44-4004400-4000000002i2−2i22i2−2i200000−2i22i2000000000000000000000000000000
χ4844-44-4-4-44-4004400-400000000−2i22i2−2i22i2000002i2−2i2000000000000000000000000000000
χ4944-4-4-444-404-400-4400000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ5044-4-4-444-404-400-440000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ5144-4-4-444-40-44004-4000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5244-4-4-444-40-44004-400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ534-444-44-4-40000000000004i−4i0022−22−222200000002i2−2i20000000000000000000000000000
χ544-444-44-4-40000000000004i−4i00−222222−220000000−2i22i20000000000000000000000000000
χ554-444-44-4-4000000000000−4i4i0022−22−22220000000−2i22i20000000000000000000000000000
χ564-444-44-4-4000000000000−4i4i00−222222−2200000002i2−2i20000000000000000000000000000
χ574-44-4-4-444-44-4-444-4400-44000000000000000000000000000000000000000000000
χ584-44-4-4-444-4-44-44-444004-4000000000000000000000000000000000000000000000
χ594-4-444-44-40-4-4004404-40000-4400000000000000000000000000000000000000000
χ604-4-444-44-40-4-400440-4400004-400000000000000000000000000000000000000000
χ614-4-4-444-44400-4400-4000000000000000000000002i2−2i22i2−2i20000000000000000000000
χ624-4-4-444-44400-4400-400000000000000000000000−2i22i2−2i22i20000000000000000000000
χ634-4-4-444-44-4004-40040000000000000000000000022−22−22220000000000000000000000
χ644-4-4-444-44-4004-400400000000000000000000000−222222−220000000000000000000000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

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