Finite Group Databasebeta

← Group #314103

Character table — Group #314103

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444488882244444444448888888888888844444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111
χ311111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-11-1-111-1-111-1-1
χ51111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-111-11111-1-111-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-111-111-1-1-1-1-1-111
χ9111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1-11
χ10111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-11111-11
χ11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1111-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11-1-1-1111111-1-11-1
χ13111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-1-11
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1111-1-1-1-11111-11
χ17222222222-22-22-22-2-2-2000000002222-2-2-2-2-2-200000022000000000000000000
χ18222222222-22-22-22-2-2-20000000022-2-222-2-222000000-2-2000000000000000000
χ19222222222-22-22-22-2-2-200000000-2-222-2-22222000000-2-2000000000000000000
χ20222222222-22-22-22-2-2-200000000-2-2-2-22222-2-200000022000000000000000000
χ2122222222-22-22-22-22-2-22222222200000000000000-2-2000000-200-20000000000
χ2222222222-22-22-22-22-2-22222-2-2-2-200000000000000-2-200000020020000000000
χ2322222222-22-22-22-22-2-2-2-2-2-222-2-20000000000000022000000-20020000000000
χ2422222222-22-22-22-22-2-2-2-2-2-2-2-2220000000000000022000000200-20000000000
χ2522-2-22-2-22020-20-202002i2i−2i−2i2-22i−2i00000000i2−i2000000i2−i222−2−2000000i2−i2002−200
χ2622-2-22-2-22020-20-202002i2i−2i−2i2-22i−2i00000000−i2i2000000−i2i2−2−222000000−i2i200−2200
χ2722-2-22-2-22020-20-202002i2i−2i−2i-22−2i2i00000000i2−i2000000i2−i222−2−2000000−i2i200−2200
χ2822-2-22-2-22020-20-202002i2i−2i−2i-22−2i2i00000000−i2i2000000−i2i2−2−222000000i2−i2002−200
χ2922-2-22-2-22020-20-20200−2i−2i2i2i2-2−2i2i00000000i2−i2000000i2−i2−2−222000000i2−i200−2200
χ3022-2-22-2-22020-20-20200−2i−2i2i2i2-2−2i2i00000000−i2i2000000−i2i222−2−2000000−i2i2002−200
χ3122-2-22-2-22020-20-20200−2i−2i2i2i-222i−2i00000000i2−i2000000i2−i2−2−222000000−i2i2002−200
χ3222-2-22-2-22020-20-20200−2i−2i2i2i-222i−2i00000000−i2i2000000−i2i222−2−2000000i2−i200−2200
χ332-2-2-2222-222-2-222-2-2-222i−2i2i−2i0000002-22-2000000002i−2i000000000000002i−2i0000
χ342-2-2-2222-222-2-222-2-2-222i−2i2i−2i000000-22-22000000002i−2i00000000000000−2i2i0000
χ352-2-2-2222-222-2-222-2-2-22−2i2i−2i2i0000002-22-200000000−2i2i00000000000000−2i2i0000
χ362-2-2-2222-222-2-222-2-2-22−2i2i−2i2i000000-22-2200000000−2i2i000000000000002i−2i0000
χ372-2-2-2222-22-2-222-2-222-200000000002-2-2200002i2i−2i−2i00002i−2i2i−2i00000000000000
χ382-2-2-2222-22-2-222-2-222-200000000002-2-220000−2i−2i2i2i0000−2i2i−2i2i00000000000000
χ392-2-2-2222-22-2-222-2-222-20000000000-222-200002i2i−2i−2i0000−2i2i−2i2i00000000000000
χ402-2-2-2222-22-2-222-2-222-20000000000-222-20000−2i−2i2i2i00002i−2i2i−2i00000000000000
χ412-2-2-2222-2-222-2-222-22-22i−2i2i−2i000000000000000000−2i2i00000002-202i−2i00000000
χ422-2-2-2222-2-222-2-222-22-22i−2i2i−2i000000000000000000−2i2i0000000-220−2i2i00000000
χ432-2-2-2222-2-222-2-222-22-2−2i2i−2i2i0000000000000000002i−2i00000002-20−2i2i00000000
χ442-2-2-2222-2-222-2-222-22-2−2i2i−2i2i0000000000000000002i−2i0000000-2202i−2i00000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000
χ4644-44-44-4-44040-40-400000000000000000000022−2222−220000000000000000000000
χ4744-44-44-4-44040-40-4000000000000000000000−2222−22220000000000000000000000
χ4844-44-44-4-4-40-40404000000000000000004i−4i0000000000000000000000000000
χ4944-44-44-4-4-40-4040400000000000000000−4i4i0000000000000000000000000000
χ5044-4-44-4-440-404040-40000000000000000002i2−2i2000000−2i22i2000000000000000000
χ5144-4-44-4-440-404040-4000000000000000000−2i22i20000002i2−2i2000000000000000000
χ524-4444-4-4-404040-40-4004-4-440000000000000000000000000000000000000000
χ534-4444-4-4-404040-40-400-444-40000000000000000000000000000000000000000
χ544-4444-4-4-40-40-4040400000000000000000000000000002i2−2i2−2i22i200000000000000
χ554-4444-4-4-40-40-404040000000000000000000000000000−2i22i22i2−2i200000000000000
χ564-44-4-44-4440-40-4040000000000000000000002i2−2i2−2i22i20000000000000000000000
χ574-44-4-44-4440-40-404000000000000000000000−2i22i22i2−2i20000000000000000000000
χ584-44-4-44-44-404040-4000000000004i−4i0000000000000000000000000000000000
χ594-44-4-44-44-404040-400000000000−4i4i0000000000000000000000000000000000
χ604-4-4-4444-4-4-444-4-444-4400000000000000000000000000000000000000000000
χ61888-8-8-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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