Finite Group Databasebeta

← Group #281713

Character table — Group #281713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222444444444444444444444444888888888888888881616161616161616161616163232
order12222222444444442244444488888888888888882244444448888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111111111111111-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11-1
χ101111111111111111-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-111-11
χ111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1111111-1-1-1-111-1-1111-1
χ121111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111-1-11111-1-111-1-1-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-11
χ141111111111111111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-111-1-1-1-111-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-11111-1-11-1
χ17222222222-2-222-2-2222-2-222-2-200000000000000002222-2-2-2-2-20000000000000000000000
χ18222222222-2-222-2-2222-2-222-2-20000000000000000-2-2-2-222-2220000000000000000000000
χ19222222222-2-222-2-22-2-2-2-2-2-222000000000000000022-2-2222-2-20000000000000000000000
χ20222222222-2-222-2-22-2-2-2-2-2-2220000000000000000-2-222-2-22220000000000000000000000
χ2122222222-222-2-222-222-2-2-2-2-2-22222-2-2-2-200000000000000200-2-222000000000000000000
χ2222222222-222-2-222-222-2-2-2-2-2-2-2-2-2-222220000000000000020022-2-2000000000000000000
χ2322222222-222-2-222-2-2-2-2-222222222222200000000000000-200-2-2-2-2000000000000000000
χ2422222222-222-2-222-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000-2002222000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-222000000002i2i2i2i−2i−2i−2i−2i000000-20000002i2i−2i−2i00000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-22200000000−2i−2i−2i−2i2i2i2i2i000000-2000000−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-2000000002i2i2i2i−2i−2i−2i−2i0000002000000−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-200000000−2i−2i−2i−2i2i2i2i2i00000020000002i2i−2i−2i00000000000000
χ292-222-2-22-2200-2-20022-2002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-22-200000i2−i2i2−i2i2−i2i2−i200000000000000
χ302-222-2-22-2200-2-20022-2002-200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-22-2200000i2−i2i2−i2−i2i2−i2i200000000000000
χ312-222-2-22-2200-2-20022-2002-200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-22-2200000−i2i2−i2i2i2−i2i2−i200000000000000
χ322-222-2-22-2200-2-20022-2002-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-22-200000−i2i2−i2i2−i2i2−i2i200000000000000
χ332-222-2-22-2200-2-2002-2200-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-222-200000i2−i2−i2i2−i2i2−i2i200000000000000
χ342-222-2-22-2200-2-2002-2200-2200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22-2-2200000i2−i2−i2i2i2−i2i2−i200000000000000
χ352-222-2-22-2200-2-2002-2200-2200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22-2-2200000−i2i2i2−i2−i2i2−i2i200000000000000
χ362-222-2-22-2200-2-2002-2200-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-222-200000−i2i2i2−i2i2−i2i2−i200000000000000
χ372-222-2-22-2-2002200-22-200-2200i2i2−i2−i2−i2−i2i2i222−2−2−2−22200002i−2i02i−2i−i2i2i2−i22−2−2200000000000000
χ382-222-2-22-2-2002200-22-200-2200i2i2−i2−i2−i2−i2i2i2−2−22222−2−20000−2i2i0−2i2i−i2i2i2−i2−222−200000000000000
χ392-222-2-22-2-2002200-22-200-2200−i2−i2i2i2i2i2−i2−i222−2−2−2−2220000−2i2i0−2i2ii2−i2−i2i22−2−2200000000000000
χ402-222-2-22-2-2002200-22-200-2200−i2−i2i2i2i2i2−i2−i2−2−22222−2−200002i−2i02i−2ii2−i2−i2i2−222−200000000000000
χ412-222-2-22-2-2002200-2-22002-200i2i2−i2−i2i2i2−i2−i222−2−2−2−22200002i−2i0−2i2i−i2i2−i2i2−222−200000000000000
χ422-222-2-22-2-2002200-2-22002-200i2i2−i2−i2i2i2−i2−i2−2−22222−2−20000−2i2i02i−2i−i2i2−i2i22−2−2200000000000000
χ432-222-2-22-2-2002200-2-22002-200−i2−i2i2i2−i2−i2i2i222−2−2−2−2220000−2i2i02i−2ii2−i2i2−i2−222−200000000000000
χ442-222-2-22-2-2002200-2-22002-200−i2−i2i2i2−i2−i2i2i2−2−22222−2−200002i−2i0−2i2ii2−i2i2−i22−2−2200000000000000
χ452-22-22-2-222222-2-2-2-2002-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000002-20000002i−2i0000
χ462-22-22-2-222222-2-2-2-2002-20000000000002i−2i2i−2i2i−2i2i−2i00000000000000000-22000000−2i2i0000
χ472-22-22-2-222222-2-2-2-2002-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000000002-2000000−2i2i0000
χ482-22-22-2-222222-2-2-2-2002-2000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000-220000002i−2i0000
χ492-22-22-2-22-2-2-2-22222002-20000000000002-22-2-22-2200000000000000000002-20000002-200
χ502-22-22-2-22-2-2-2-22222002-20000000000002-22-2-22-220000000000000000000-22000000-2200
χ512-22-22-2-22-2-2-2-22222002-2000000000000-22-222-22-200000000000000000002-2000000-2200
χ522-22-22-2-22-2-2-2-22222002-2000000000000-22-222-22-20000000000000000000-220000002-200
χ53444-4-44-4-4400-4400-4000000000000000022−22−222222−22−22220000000000000000000000000000000
χ54444-4-44-4-4400-4400-40000000000000000−222222−22−222222−220000000000000000000000000000000
χ55444-4-44-4-4-4004-400400000000000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000
χ56444-4-44-4-4-4004-40040000000000000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000
χ5744-4-4-4-44404-4004-400000000000004-44-4000000000000000000000000000000000000000
χ5844-4-4-4-44404-4004-40000000000000-44-44000000000000000000000000000000000000000
χ5944-4-4-4-4440-4400-440000000004-44-40000000000000000000000000000000000000000000
χ6044-4-4-4-4440-4400-44000000000-44-440000000000000000000000000000000000000000000
χ614-44-44-4-444-4-44-444-400-44000000000000000000000000000000000000000000000000000
χ624-44-44-4-44-444-44-4-4400-44000000000000000000000000000000000000000000000000000
χ634-4-44-44-4404-400-4400000000000000000000000000000000000000000000000022−22000000
χ644-4-44-44-4404-400-44000000000000000000000000000000000000000000000000−2222000000
χ654-4-44-44-440-44004-4000000000000000000000000000000000000000000000022−2200000000
χ664-4-44-44-440-44004-40000000000000000000000000000000000000000000000−222200000000
χ674-4-4-4444-4000000000000004-42i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ684-4-4-4444-4000000000000004-4−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ694-4-4-4444-400000000000000-442i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000
χ704-4-4-4444-400000000000000-44−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000
χ7188-888-8-8-8000000000000000000000000000000000000000000000000000000000000000

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