Finite Group Databasebeta

← Group #260384

Character table — Group #260384

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111-1-111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ91111111111111111-1-1-1-1-1-1111111-1-111-1-1-111-1-11111-1-1-1-1111-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-11111-1-11-11111-1-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-1111111-1-1-1-111-111-1-11111-1-1-1-1-1-1-1111-1-11111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1-1-1-1111111-11-1-1-1-111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-11-111-1-111-1-11111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111111-1-1-1-1-11111-1-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111111-1-1-1-111-11-1-111-1-1-1-111-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-111-1-1-1-11111-1-1-111111-1-111-1-111-1-1
χ172222222222-2-222-2-222-2-2-2-22222-2-22200002-2-2-2-200000000000000000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-200002222200000000000000000000000000
χ192222222222-2-222-2-2-2-222222222-2-2-2-20000-2-2-22200000000000000000000000000
χ202222222222-2-222-2-2-2-22222-2-2-2-2-2-2220000-222-2-200000000000000000000000000
χ2122222222-2-222-2-2222222-2-20000-2-2002222-200000000000000-2-200000000000000
χ2222222222-2-222-2-2222222-2-20000-2-200-2-2-2-2-2000000000000002200000000000000
χ2322222222-2-222-2-222-2-2-2-2220000-2-20022-2-2200000000000000-2200000000000000
χ2422222222-2-222-2-222-2-2-2-2220000-2-200-2-2222000000000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222000022000000-20000000000000000002-22-200000000
χ2622222222-2-2-2-2-2-2-2-222-2-222000022000000-2000000000000000000-22-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-222-2-200002200000020000000000000000002-2-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-222-2-20000220000002000000000000000000-222-200000000
χ292-222-22-2-2-2-2002200002-22-22i2i−2i−2i000000000002i−2i22−2−222−2−20000000000i2−i2i2−i20000
χ302-222-22-2-2-2-2002200002-22-22i2i−2i−2i000000000002i−2i−2−222−2−2220000000000−i2i2−i2i20000
χ312-222-22-2-2-2-2002200002-22-2−2i−2i2i2i00000000000−2i2i22−2−222−2−20000000000−i2i2−i2i20000
χ322-222-22-2-2-2-2002200002-22-2−2i−2i2i2i00000000000−2i2i−2−222−2−2220000000000i2−i2i2−i20000
χ332-222-22-2-2-2-200220000-22-222i2i−2i−2i00000000000−2i2i22−2−2−2−2220000000000i2−i2−i2i20000
χ342-222-22-2-2-2-200220000-22-222i2i−2i−2i00000000000−2i2i−2−22222−2−20000000000−i2i2i2−i20000
χ352-222-22-2-2-2-200220000-22-22−2i−2i2i2i000000000002i−2i22−2−2−2−2220000000000−i2i2i2−i20000
χ362-222-22-2-2-2-200220000-22-22−2i−2i2i2i000000000002i−2i−2−22222−2−20000000000i2−i2−i2i20000
χ372-22-22-2-222-2222-2-2-20000002i−2i2i−2i-2200000002i−2i00000000002-20000000000002i−2i00
χ382-22-22-2-222-2222-2-2-20000002i−2i2i−2i-2200000002i−2i0000000000-22000000000000−2i2i00
χ392-22-22-2-222-2222-2-2-2000000−2i2i−2i2i-220000000−2i2i00000000002-2000000000000−2i2i00
χ402-22-22-2-222-2222-2-2-2000000−2i2i−2i2i-220000000−2i2i0000000000-220000000000002i−2i00
χ412-22-22-2-222-2-2-22-2220000002i−2i2i−2i2-20000000−2i2i000000000000002i−2i00000000002-2
χ422-22-22-2-222-2-2-22-2220000002i−2i2i−2i2-20000000−2i2i00000000000000−2i2i0000000000-22
χ432-22-22-2-222-2-2-22-222000000−2i2i−2i2i2-200000002i−2i000000000000002i−2i0000000000-22
χ442-22-22-2-222-2-2-22-222000000−2i2i−2i2i2-200000002i−2i00000000000000−2i2i00000000002-2
χ45444-4-4-44-44-400-44000000000000004-400000000000000000000000000000000000
χ46444-4-4-44-44-400-4400000000000000-4400000000000000000000000000000000000
χ47444-4-4-44-4-44004-4000000004-4-44000000000000000000000000000000000000000
χ48444-4-4-44-4-44004-400000000-444-4000000000000000000000000000000000000000
χ4944-444-4-4-4004-4004-400000000000000004-40000000000000000000000000000000
χ5044-444-4-4-4004-4004-40000000000000000-440000000000000000000000000000000
χ5144-444-4-4-400-4400-44000000000000004-4000000000000000000000000000000000
χ5244-444-4-4-400-4400-4400000000000000-44000000000000000000000000000000000
χ5344-4-4-44-44000000004-40000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ5444-4-4-44-44000000004-4000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ5544-4-4-44-4400000000-440000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ5644-4-4-44-4400000000-44000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ574-444-44-4-44400-4-400004-4-440000000000000000000000000000000000000000000
χ584-444-44-4-44400-4-40000-444-40000000000000000000000000000000000000000000
χ594-44-44-4-44-4444-44-4-400000000004-40000000000000000000000000000000000000
χ604-44-44-4-44-44-4-4-44440000000000-440000000000000000000000000000000000000
χ614-4-4-4444-4004-400-440000000000000000000000000002i2−2i2−2i22i2000000000000000000
χ624-4-4-4444-4004-400-44000000000000000000000000000−2i22i22i2−2i2000000000000000000
χ634-4-4-4444-400-44004-4000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ644-4-4-4444-400-44004-400000000000000000000000−2i22i22i2−2i20000000000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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