Finite Group Databasebeta

← Group #260309

Character table — Group #260309

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444448888888888888888888161616161616161616161616161616161616
order12222222444444444444444444444444444444488888888222222444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ711111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-1
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111111111111111-1-11-1-1-1-111111-111-1-1-1-111-1-11111-1-1-1-111-1-1111-1-1-111-1-111-1-1
χ101111111111111111-1-11-1-1-1-111111-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11-111-1-111-1-111
χ111111111111111111-1-11-1-1-1-111111-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-111111-1-1-1-111
χ121111111111111111-1-11-1-1-1-111111-111-1-1-1-1-1-111-1-1-1-11111-1-11111-11-1-1-1-11111-1-1
χ131111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1111111-1-11111-1-1-1-1-1-111-1-11-111-1-11111-1-1
χ141111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-1-111111-1-1-111-1-1-1-111
χ151111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-11111-1-1111111-1-1-1-111-1-111-11-1-1-1-111-1-111
χ161111111111111111-1-11-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-111111-1-111-1-1
χ172222222222-2-222-2-222-222-2-20000-2-2000000222200000000000000-2-20000000000
χ182222222222-2-222-2-222-222-2-20000-2-2000000-2-2-2-200000000000000220000000000
χ192222222222-2-222-2-2-2-2-2-2-2220000-2200000022-2-200000000000000-220000000000
χ202222222222-2-222-2-2-2-2-2-2-2220000-22000000-2-222000000000000002-20000000000
χ2122222222-2-222-2-22222-2-2-2-2-22222-22-2-222-2-2000000000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2222-2-222000000000000000000000000000000
χ2322222222-2-222-2-222-2-2-222222222-2-2-2-2-2-222000000000000000000000000000000
χ2422222222-2-222-2-222-2-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-22200002-20000000000000000002-22-200000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22200002-2000000000000000000-22-2200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-20000220000000000000000002-2-2200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-2000022000000000000000000-222-200000000000000
χ2922-222-2-2-2222-2-2-22-200-200002i2i−2i−2i202i−2i000000000000000000002-2000000002i−2i00
χ3022-222-2-2-2222-2-2-22-200-200002i2i−2i−2i202i−2i00000000000000000000-2200000000−2i2i00
χ3122-222-2-2-2222-2-2-22-200-20000−2i−2i2i2i20−2i2i000000000000000000002-200000000−2i2i00
χ3222-222-2-2-2222-2-2-22-200-20000−2i−2i2i2i20−2i2i00000000000000000000-22000000002i−2i00
χ3322-222-2-2-2-2-22-2222-200200002i2i−2i−2i-20−2i2i0000000000000000000000002i−2i0000002-2
χ3422-222-2-2-2-2-22-2222-200200002i2i−2i−2i-20−2i2i000000000000000000000000−2i2i000000-22
χ3522-222-2-2-2-2-22-2222-20020000−2i−2i2i2i-202i−2i0000000000000000000000002i−2i000000-22
χ3622-222-2-2-2-2-22-2222-20020000−2i−2i2i2i-202i−2i000000000000000000000000−2i2i0000002-2
χ372-2-22-2-22200-2-200220002-22-22-22-20000002-2000022−2−222−2−200000000002−22−20000
χ382-2-22-2-22200-2-200220002-22-22-22-20000002-20000−2−222−2−2220000000000−22−220000
χ392-2-22-2-22200-2-200220002-22-2-22-22000000-22000022−2−222−2−20000000000−22−220000
χ402-2-22-2-22200-2-200220002-22-2-22-22000000-220000−2−222−2−22200000000002−22−20000
χ412-2-22-2-22200-2-20022000-22-222-22-2000000-22000022−2−2−2−22200000000002−2−220000
χ422-2-22-2-22200-2-20022000-22-222-22-2000000-220000−2−22222−2−20000000000−222−20000
χ432-2-22-2-22200-2-20022000-22-22-22-220000002-2000022−2−2−2−2220000000000−222−20000
χ442-2-22-2-22200-2-20022000-22-22-22-220000002-20000−2−22222−2−200000000002−2−220000
χ45444-4-4-44-44-4004-4000000000000000000000004i−4i00000000000000000000000000
χ46444-4-4-44-44-4004-400000000000000000000000−4i4i00000000000000000000000000
χ47444-4-4-44-4-4400-440000000000000000000004i−4i0000000000000000000000000000
χ48444-4-4-44-4-4400-44000000000000000000000−4i4i0000000000000000000000000000
χ4944-444-4-4-444-44-4-4-4400400000000-40000000000000000000000000000000000000
χ5044-444-4-4-4-4-4-4444-4400-40000000040000000000000000000000000000000000000
χ5144-4-4-44-444-400-440000000000000000000000000000022−2222−22000000000000000000
χ5244-4-4-44-444-400-4400000000000000000000000000000−2222−2222000000000000000000
χ5344-4-4-44-44-44004-4000000000000000000000000022−2222−220000000000000000000000
χ5444-4-4-44-44-44004-40000000000000000000000000−2222−22220000000000000000000000
χ554-444-44-4-4004-400-440000000000000004i−4i00000000000000000000000000000000
χ564-444-44-4-4004-400-44000000000000000−4i4i00000000000000000000000000000000
χ574-444-44-4-400-44004-400000004i−4i−4i4i00000000000000000000000000000000000000
χ584-444-44-4-400-44004-40000000−4i4i4i−4i00000000000000000000000000000000000000
χ594-44-44-4-44000000004-40000000000000000000002-2-222-2-22000000000000000000
χ604-44-44-4-44000000004-4000000000000000000000-222-2-222-2000000000000000000
χ614-44-44-4-4400000000-440000000000000000000002-2-22-222-2000000000000000000
χ624-44-44-4-4400000000-44000000000000000000000-222-22-2-22000000000000000000
χ634-4-44-4-444004400-4-40004-4-44000000000000000000000000000000000000000000
χ644-4-44-4-444004400-4-4000-444-4000000000000000000000000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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