Finite Group Databasebeta

← Group #260261

Character table — Group #260261

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422444444444888888888888888822224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-11-1-1-1-1111-1-1111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111
χ71111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-11111
χ81111111111111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-111-1-1-1-1
χ9111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1111-1-111-1-1
χ10111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111111-1-111
χ11111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-111
χ12111111111111-1-1-1-111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11-1-1-11111-1-1
χ13111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1111-1-111
χ14111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-11-1-111-1-1
χ15111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-11111-1-1
χ16111111111111-1-1-1-111111-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-111
χ172222222222-2-2222222-2-2-2-2-2220000-20000-222002200000000000000000000-200-2000000
χ182222222222-2-2222222-2-2-2-2-2220000-20000-2-2-200-2-2000000000000000000002002000000
χ192222222222-2-2-2-2-2-222-2-2-222-2-20000-2000022200-2-200000000000000000000200-2000000
χ202222222222-2-2-2-2-2-222-2-2-222-2-20000-200002-2-2002200000000000000000000-2002000000
χ2122222222-2-2222222-2-222-222-2-22222-2-2-222-200-2-200000000000000000000000000000000
χ2222222222-2-2222222-2-222-222-2-2-2-2-2-2-222-2-2-2002200000000000000000000000000000000
χ2322222222-2-222-2-2-2-2-2-222-2-2-2222222-222-2-2200-2-200000000000000000000000000000000
χ2422222222-2-222-2-2-2-2-2-222-2-2-222-2-2-2-2-2-2-2222002200000000000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-22-2-2-2-2000020000200000000000000000000002-20002-20000000
χ2622222222-2-2-2-22222-2-2-2-22-2-2-2-200002000020000000000000000000000-22000-220000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222000020000-200000000000000000000002-2000-220000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222000020000-20000000000000000000000-220002-20000000
χ2922-222-2-2-2222-20000-2-22-2-200002i2i−2i−2i200000002i−2i002i2i−2i−2i000000000000002-20000000000
χ3022-222-2-2-2222-20000-2-22-2-200002i2i−2i−2i200000002i−2i00−2i−2i2i2i00000000000000-220000000000
χ3122-222-2-2-2222-20000-2-22-2-20000−2i−2i2i2i20000000−2i2i002i2i−2i−2i00000000000000-220000000000
χ3222-222-2-2-2222-20000-2-22-2-20000−2i−2i2i2i20000000−2i2i00−2i−2i2i2i000000000000002-20000000000
χ3322-222-2-2-2-2-22-20000222-2200002i2i−2i−2i-20000000−2i2i00000022-2-200000000000000002i−2i0000
χ3422-222-2-2-2-2-22-20000222-2200002i2i−2i−2i-20000000−2i2i000000-2-2220000000000000000−2i2i0000
χ3522-222-2-2-2-2-22-20000222-220000−2i−2i2i2i-200000002i−2i00000022-2-20000000000000000−2i2i0000
χ3622-222-2-2-2-2-22-20000222-220000−2i−2i2i2i-200000002i−2i000000-2-22200000000000000002i−2i0000
χ372-222-22-2-22-2002i2i−2i−2i2-2000002i−2i00000000002-2002i−2ii2−i2i2−i22−22−2i2i2−i2−i222−2−200000000000000
χ382-222-22-2-22-2002i2i−2i−2i2-2000002i−2i00000000002-2002i−2i−i2i2−i2i2−22−22−i2−i2i2i2−2−22200000000000000
χ392-222-22-2-22-2002i2i−2i−2i2-2000002i−2i0000000000-2200−2i2ii2−i2i2−i22−22−2−i2−i2i2i2−2−22200000000000000
χ402-222-22-2-22-2002i2i−2i−2i2-2000002i−2i0000000000-2200−2i2i−i2i2−i2i2−22−22i2i2−i2−i222−2−200000000000000
χ412-222-22-2-22-200−2i−2i2i2i2-200000−2i2i00000000002-200−2i2ii2−i2i2−i2−22−22i2i2−i2−i2−2−22200000000000000
χ422-222-22-2-22-200−2i−2i2i2i2-200000−2i2i00000000002-200−2i2i−i2i2−i2i22−22−2−i2−i2i2i222−2−200000000000000
χ432-222-22-2-22-200−2i−2i2i2i2-200000−2i2i0000000000-22002i−2ii2−i2i2−i2−22−22−i2−i2i2i222−2−200000000000000
χ442-222-22-2-22-200−2i−2i2i2i2-200000−2i2i0000000000-22002i−2i−i2i2−i2i22−22−2i2i2−i2−i2−2−22200000000000000
χ452-22-22-22-200222-22-200-2-202-2002i−2i2i−2i0002i−2i0000000000000002−22−22−22−20000000000i2−i2i2−i2
χ462-22-22-22-200222-22-200-2-202-2002i−2i2i−2i0002i−2i000000000000000−22−22−22−220000000000−i2i2−i2i2
χ472-22-22-22-200222-22-200-2-202-200−2i2i−2i2i000−2i2i0000000000000002−22−22−22−20000000000−i2i2−i2i2
χ482-22-22-22-200222-22-200-2-202-200−2i2i−2i2i000−2i2i000000000000000−22−22−22−220000000000i2−i2i2−i2
χ492-22-22-22-20022-22-2200-2-20-22002i−2i2i−2i000−2i2i0000000000000002−22−2−22−220000000000i2−i2−i2i2
χ502-22-22-22-20022-22-2200-2-20-22002i−2i2i−2i000−2i2i000000000000000−22−222−22−20000000000−i2i2i2−i2
χ512-22-22-22-20022-22-2200-2-20-2200−2i2i−2i2i0002i−2i0000000000000002−22−2−22−220000000000−i2i2i2−i2
χ522-22-22-22-20022-22-2200-2-20-2200−2i2i−2i2i0002i−2i000000000000000−22−222−22−20000000000i2−i2−i2i2
χ53444-4-4-4-4400004i−4i−4i4i0000000000000000000000000000000002i−2i−2i2i2-2-2200000000000000
χ54444-4-4-4-4400004i−4i−4i4i000000000000000000000000000000000−2i2i2i−2i-222-200000000000000
χ55444-4-4-4-440000−4i4i4i−4i0000000000000000000000000000000002i−2i−2i2i-222-200000000000000
χ56444-4-4-4-440000−4i4i4i−4i000000000000000000000000000000000−2i2i2i−2i2-2-2200000000000000
χ5744-444-4-4-444-440000-4-4-44400000000-400000000000000000000000000000000000000000
χ5844-444-4-4-4-4-4-44000044-44-400000000400000000000000000000000000000000000000000
χ594-444-44-4-4-44004i4i−4i−4i-4400000−4i4i0000000000000000000000000000000000000000000000
χ604-444-44-4-4-4400−4i−4i4i4i-44000004i−4i0000000000000000000000000000000000000000000000
χ614-44-44-44-400-4-44-44-400440-44000000000000000000000000000000000000000000000000
χ624-44-44-44-400-4-4-44-44004404-4000000000000000000000000000000000000000000000000
χ634-4-44-4-4444-4000000-440000000000000000000000022−22−222200000000000000000000000000
χ644-4-44-4-4444-4000000-4400000000000000000000000−222222−2200000000000000000000000000
χ654-4-44-4-444-440000004-400000000000000000000000000022−22−22220000000000000000000000
χ664-4-44-4-444-440000004-4000000000000000000000000000−222222−220000000000000000000000
χ674-4-4-444-44004-4000000-44000004-4-44000000000000000000000000000000000000000000
χ684-4-4-444-44004-4000000-4400000-444-4000000000000000000000000000000000000000000
χ694-4-4-444-4400-440000004-400000000004-4000000000000000000000000000000000000000
χ704-4-4-444-4400-440000004-40000000000-44000000000000000000000000000000000000000
χ7188-8-8-888-8000000000000000000000000000000000000000000000000000000000000000

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