Finite Group Databasebeta

← Group #335207

Character table — Group #335207

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888444444444444888888888888888822448888224
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11111-1-11-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1111111-1-1-1-111111111-1-1-11-1-111-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-11-11
χ61111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1
χ71111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-1-1-111-1-111-1-1-11-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-11
χ9111111111111111111-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111-1-1
χ11111111111111111111-1-1-1-11111-1-111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11111-111
χ13111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-11
χ17222222222-222-2-22-2-2-200002222002200-2-200-2-200-2-200000000000000020000000
χ18222222222-222-2-22-2-2-20000222200-2-20022002200-2-2000000000000000-20000000
χ19222222222-222-2-22-2-2-20000-2-2-2-2002200-2-200220022000000000000000-20000000
χ20222222222-222-2-22-2-2-20000-2-2-2-200-2-2002200-2-2002200000000000000020000000
χ2122222222-22-2-222-22-2-2222200002200-2-200-2-200-2-20000000000000000200000000
χ2222222222-22-2-222-22-2-222220000-2-20022002200-2-20000000000000000-200000000
χ2322222222-22-2-222-22-2-2-2-2-2-200002200-2-2002200220000000000000000-200000000
χ2422222222-22-2-222-22-2-2-2-2-2-20000-2-2002200-2-200220000000000000000200000000
χ2522-22-22-2-202002-20-20022-2-222−2−200002i−2i002i−2i00002−2i2i2−i2−i2000022−2−20000i2−i200000
χ2622-22-22-2-202002-20-20022-2-222−2−20000−2i2i00−2i2i00002−2−i2−i2i2i2000022−2−20000−i2i200000
χ2722-22-22-2-202002-20-20022-2-2−2−22200002i−2i002i−2i0000−22−i2−i2i2i20000−2−2220000−i2i200000
χ2822-22-22-2-202002-20-20022-2-2−2−2220000−2i2i00−2i2i0000−22i2i2−i2−i20000−2−2220000i2−i200000
χ2922-22-22-2-202002-20-200-2-22222−2−200002i−2i00−2i2i00002−2i2i2−i2−i20000−2−2220000−i2i200000
χ3022-22-22-2-202002-20-200-2-22222−2−20000−2i2i002i−2i00002−2−i2−i2i2i20000−2−2220000i2−i200000
χ3122-22-22-2-202002-20-200-2-222−2−22200002i−2i00−2i2i0000−22−i2−i2i2i2000022−2−20000i2−i200000
χ3222-22-22-2-202002-20-200-2-222−2−2220000−2i2i002i−2i0000−22i2i2−i2−i2000022−2−20000−i2i200000
χ332-22-222-2-2202-200-20002−22−22-22-20000002i−2i002i−2i2−2000000i2i2−i2−i22−22−2000000i2−i2000
χ342-22-222-2-2202-200-20002−22−22-22-2000000−2i2i00−2i2i2−2000000−i2−i2i2i22−22−2000000−i2i2000
χ352-22-222-2-2202-200-20002−22−2-22-220000002i−2i00−2i2i2−2000000i2i2−i2−i2−22−22000000−i2i2000
χ362-22-222-2-2202-200-20002−22−2-22-22000000−2i2i002i−2i2−2000000−i2−i2i2i2−22−22000000i2−i2000
χ372-22-222-2-2202-200-2000−22−222-22-20000002i−2i002i−2i−22000000−i2−i2i2i2−22−22000000−i2i2000
χ382-22-222-2-2202-200-2000−22−222-22-2000000−2i2i00−2i2i−22000000i2i2−i2−i2−22−22000000i2−i2000
χ392-22-222-2-2202-200-2000−22−22-22-220000002i−2i00−2i2i−22000000−i2−i2i2i22−22−2000000i2−i2000
χ402-22-222-2-2202-200-2000−22−22-22-22000000−2i2i002i−2i−22000000i2i2−i2−i22−22−2000000−i2i2000
χ412-2-222-2-22-2-22222-2-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i00002-2000000000
χ422-2-222-2-22-2-22222-2-22-20000000000000000000000002i−2i2i−2i−2i2i−2i2i0000-22000000000
χ432-2-222-2-22-2-22222-2-22-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000-22000000000
χ442-2-222-2-22-2-22222-2-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i00002-2000000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ4644-44-44-4-40-400-44040000002222−22−2200000000000000−222200000000000000000000000
χ4744-44-44-4-40-400-4404000000−22−2222220000000000000022−2200000000000000000000000
χ4844-4-44-44-440-4400-400000000000004i−4i00000000000000000000000000000000000
χ4944-4-44-44-440-4400-40000000000000−4i4i00000000000000000000000000000000000
χ5044-4-44-44-4-404-4004000000000000000000000000000000022−22−2222000000000000000
χ5144-4-44-44-4-404-40040000000000000000000000000000000−222222−22000000000000000
χ524-444-4-44-40400-440-400000000004i−4i0000000000000000000000000000000000000
χ534-444-4-44-40400-440-40000000000−4i4i0000000000000000000000000000000000000
χ544-444-4-44-40-4004-4040000000000000000000000000022−22−22220000000000000000000
χ554-444-4-44-40-4004-40400000000000000000000000000−222222−220000000000000000000
χ564-44-444-4-4-40-4400400022−2222−220000000000000000−22220000000000000000000000000
χ574-44-444-4-4-40-44004000−2222−2222000000000000000022−220000000000000000000000000
χ584-4-444-4-4444-4-4-4-4444-400000000000000000000000000000000000000000000000
χ594-4-444-4-444-4-4-4444-4-4400000000000000000000000000000000000000000000000
χ604-4-444-4-44-4444-4-4-44-4400000000000000000000000000000000000000000000000
χ614-4-4-4-4444000000000022−22−222222−22−22220000000000000000000000002-2-2200000000000
χ624-4-4-4-4444000000000022−22−2222−222222−22000000000000000000000000-222-200000000000
χ634-4-4-4-44440000000000−222222−2222−22−2222000000000000000000000000-222-200000000000
χ644-4-4-4-44440000000000−222222−22−222222−220000000000000000000000002-2-2200000000000
χ65888-8-8-8-88000000000000000000000000000000000000000000000000000000000

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