Finite Group Databasebeta

← Group #256271

Character table — Group #256271

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444448888888888888888888888161616161616161616161616161616161616
order12222222444444442244444444444444444488888888224444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-11-1-1-1-1111111111-1-1-11-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-1-1-1-1-11111
χ51111111111111111111111-1-11-1-111111-1-1-1-111111111-11-1-1-11-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-11111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-11111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ91111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-11111-1-111-1-1
χ101111111111111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-11111-1-111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-111-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111
χ121111111111111111-1-1-1-11111-1-1-1-1-111-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1
χ131111111111111111-1-1-1-111-1-1-11111-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1
χ141111111111111111-1-1-1-111-1-1-11111-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-111-1-1-111-1-111-1-1-1-1-11111-1-1-1-11-111-11-1-111-1-111-1-111
χ161111111111111111-1-1-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-11111111-1-111-1-1
χ172222222222-2-222-2-22222-2-222-2220000-2000000000000-2000-20000000000000
χ182222222222-2-222-2-22222-2-2-2-2-2-2-20000-2000000000000200020000000000000
χ192222222222-2-222-2-2-2-2-2-2-2-2222-2-2000020000000000002000-20000000000000
χ202222222222-2-222-2-2-2-2-2-2-2-2-2-222200002000000000000-200020000000000000
χ2122222222-2-222-2-22222-2-2-2-2002002222-20000000000000-2000-2000000000000
χ2222222222-2-222-2-22222-2-2-2-200200-2-2-2-2-2000000000000020002000000000000
χ2322222222-2-222-2-222-2-222-2-200-20022-2-220000000000000-20002000000000000
χ2422222222-2-222-2-222-2-222-2-200-200-2-222200000000000002000-2000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-22200-2000000222-2-200000000000000002-200000000
χ2622222222-2-2-2-2-2-2-2-222-2-22200-20000002-2-2220000000000000000-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222002000000-222-2-20000000000000000-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222002000000-2-2-22200000000000000002-200000000
χ292-2-222-2-222-22-22-22-200002-200000000002-22-200002i2i−2i−2i002i−2i00000000000000
χ302-2-222-2-222-22-22-22-200002-200000000002-22-20000−2i−2i2i2i00−2i2i00000000000000
χ312-2-222-2-222-22-22-22-200002-20000000000-22-2200002i2i−2i−2i00−2i2i00000000000000
χ322-2-222-2-222-22-22-22-200002-20000000000-22-220000−2i−2i2i2i002i−2i00000000000000
χ332-2-222-2-22-22-22-22-2200002-200000000002-2-222i2i−2i−2i00000000002i−2i0000000000
χ342-2-222-2-22-22-22-22-2200002-200000000002-2-22−2i−2i2i2i0000000000−2i2i0000000000
χ352-2-222-2-22-22-22-22-2200002-20000000000-222-22i2i−2i−2i0000000000−2i2i0000000000
χ362-2-222-2-22-22-22-22-2200002-20000000000-222-2−2i−2i2i2i00000000002i−2i0000000000
χ372-2-22-222-22200-2-2002-22-2002i−2i02i−2i000000000i2−i2i2−i2i2−i2i2−i200000000002−22−20000
χ382-2-22-222-22200-2-2002-22-2002i−2i02i−2i000000000−i2i2−i2i2−i2i2−i2i20000000000−22−220000
χ392-2-22-222-22200-2-2002-22-200−2i2i0−2i2i000000000i2−i2i2−i2i2−i2i2−i20000000000−22−220000
χ402-2-22-222-22200-2-2002-22-200−2i2i0−2i2i000000000−i2i2−i2i2−i2i2−i2i200000000002−22−20000
χ412-2-22-222-22200-2-200-22-22002i−2i0−2i2i000000000i2−i2i2−i2−i2i2−i2i200000000002−2−220000
χ422-2-22-222-22200-2-200-22-22002i−2i0−2i2i000000000−i2i2−i2i2i2−i2i2−i20000000000−222−20000
χ432-2-22-222-22200-2-200-22-2200−2i2i02i−2i000000000i2−i2i2−i2−i2i2−i2i20000000000−222−20000
χ442-2-22-222-22200-2-200-22-2200−2i2i02i−2i000000000−i2i2−i2i2i2−i2i2−i200000000002−2−220000
χ454444-4-4-4-44-400-440000000000000000000000000022−22−2222000000000000000000
χ464444-4-4-4-44-400-4400000000000000000000000000−222222−22000000000000000000
χ474444-4-4-4-4-44004-4000000000000000000000022−22−22220000000000000000000000
χ484444-4-4-4-4-44004-40000000000000000000000−222222−220000000000000000000000
χ4944-4-444-4-4004400-4-40000000000000000000000000000000000000000000022−22
χ5044-4-444-4-4004400-4-400000000000000000000000000000000000000000000−2222
χ5144-4-444-4-400-4-400440000000000000000000000000000000000000000002i2−2i200
χ5244-4-444-4-400-4-40044000000000000000000000000000000000000000000−2i22i200
χ534-44-44-44-4004-400-44000000000004i−4i000000000000000000000000000000000
χ544-44-44-44-4004-400-4400000000000−4i4i000000000000000000000000000000000
χ554-44-44-44-400-44004-400000000000004i−4i0000000000000000000000000000000
χ564-44-44-44-400-44004-40000000000000−4i4i0000000000000000000000000000000
χ574-4-444-4-444-4-444-4-440000-440000000000000000000000000000000000000000
χ584-4-444-4-44-444-4-444-40000-440000000000000000000000000000000000000000
χ594-4-44-444-4-4-40044004-4-44000000000000000000000000000000000000000000
χ604-4-44-444-4-4-4004400-444-4000000000000000000000000000000000000000000
χ6188-8-8-8-888000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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