Finite Group Databasebeta

← Group #350623

Character table — Group #350623

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444244444444444444444444444444888888888888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ91111111111111111-1-111-1-11111-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-111-1-11111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ121111111111111111-1-111-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ131111111111111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-11
χ141111111111111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ172222222222-2-222-2-222-2-2-2-20000200000000000022-2-222-2-2000000000000000000
χ182222222222-2-222-2-222-2-2-2-200002000000000000-2-222-2-222000000000000000000
χ192222222222-2-222-2-2-2-2-2-2220000-200000000000022-2-2-2-222000000000000000000
χ202222222222-2-222-2-2-2-2-2-2220000-2000000000000-2-22222-2-2000000000000000000
χ2122222222-2-222-2-22222-2-2-220000-222-2-222-2-2000000000000000000000000000000
χ2222222222-2-222-2-22222-2-2-220000-2-2-222-2-222000000000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-22-20000222-2-2-2-222000000000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-22-200002-2-22222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222222-222-2-2-20000000022-2-200000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-2-222-200000000-2-22200000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2222-2-2200000000-2-22200000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-22-2-22220000000022-2-200000000000000000000000000
χ292-22-222-2-22-22-22-22-2002-2000000000002-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ302-22-222-2-22-22-22-22-2002-2000000000002-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ312-22-222-2-22-22-22-22-2002-200000000000-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ322-22-222-2-22-22-22-22-2002-200000000000-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ332-22-222-2-22-2-222-2-2200-22002i−2i2i−2i02-22-2000000002i−2i−2i2i0000000000000000000000
χ342-22-222-2-22-2-222-2-2200-22002i−2i2i−2i0-22-2200000000−2i2i2i−2i0000000000000000000000
χ352-22-222-2-22-2-222-2-2200-2200−2i2i−2i2i02-22-200000000−2i2i2i−2i0000000000000000000000
χ362-22-222-2-22-2-222-2-2200-2200−2i2i−2i2i0-22-22000000002i−2i−2i2i0000000000000000000000
χ372-22-222-2-2-222-2-222-200-22002i−2i−2i2i000002-2-22000000002i−2i2i−2i000000000000000000
χ382-22-222-2-2-222-2-222-200-22002i−2i−2i2i00000-222-200000000−2i2i−2i2i000000000000000000
χ392-22-222-2-2-222-2-222-200-2200−2i2i2i−2i000002-2-2200000000−2i2i−2i2i000000000000000000
χ402-22-222-2-2-222-2-222-200-2200−2i2i2i−2i00000-222-2000000002i−2i2i−2i000000000000000000
χ412-22-222-2-2-22-22-22-22002-200000002-2-2200002i−2i−2i2i00002i−2i−2i2i000000000000000000
χ422-22-222-2-2-22-22-22-22002-200000002-2-220000−2i2i2i−2i0000−2i2i2i−2i000000000000000000
χ432-22-222-2-2-22-22-22-22002-20000000-222-200002i−2i−2i2i0000−2i2i2i−2i000000000000000000
χ442-22-222-2-2-22-22-22-22002-20000000-222-20000−2i2i2i−2i00002i−2i−2i2i000000000000000000
χ45444-4-4-44-44400-4-400000000000000000000000000000000000002222−22−220000000000
χ46444-4-4-44-44400-4-40000000000000000000000000000000000000−22−2222220000000000
χ47444-4-4-44-4-4-400440000000000000000000000000000000002i22i2−2i2−2i200000000000000
χ48444-4-4-44-4-4-40044000000000000000000000000000000000−2i2−2i22i22i200000000000000
χ4944-444-4-4-4004400-4-4000000000000000000000000000000022−2222−2200000000000000
χ5044-444-4-4-4004400-4-40000000000000000000000000000000−2222−222200000000000000
χ5144-444-4-4-400-4-40044000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ5244-444-4-4-400-4-4004400000000000000000000000000000000000−2i22i2−2i22i20000000000
χ5344-4-4-44-44000000004-4000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ5444-4-4-44-44000000004-400000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ5544-4-4-44-4400000000-44000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ5644-4-4-44-4400000000-4400000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ574-444-4-4-444-400-44000000000000000000000000000000000000000000000002i2−2i200
χ584-444-4-4-444-400-4400000000000000000000000000000000000000000000000−2i22i200
χ594-444-4-4-44-44004-40000000000000000000000000000000000000000000002i2−2i20000
χ604-444-4-4-44-44004-4000000000000000000000000000000000000000000000−2i22i20000
χ614-4-4-44-444004-400-440000000000000000000000000000000000000000022−22000000
χ624-4-4-44-444004-400-4400000000000000000000000000000000000000000−2222000000
χ634-4-4-44-44400-44004-400000000000000000000000000000000000000022−2200000000
χ644-4-4-44-44400-44004-4000000000000000000000000000000000000000−222200000000
χ658-8-88-888-8000000000000000000000000000000000000000000000000000000000

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