Finite Group Databasebeta

← Group #255486

Character table — Group #255486

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422244444444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111111-1-1-1-11111-1-11111111111111111-1-11-1-1-1-11-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-11111
χ71111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1111111
χ81111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-111-1-1-1-1
χ9111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-111-1-1
χ10111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-111
χ11111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-111
χ12111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111-1-1
χ13111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-111-111-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-111111-1-111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-1-1-111111111-1-1-1-111-111-1-11-1-1-1-111
χ172222222222-2-2222222-2-2-2-2222222-2-2-2-2-2220000-2-2000000000000000000000000000000
χ182222222222-2-2222222-2-2-2-2-2-2-2-222-2-2-222-2-2000022000000000000000000000000000000
χ192222222222-2-2-2-2-2-222-2-2222222-2-2-2-2222-2-20000-2-2000000000000000000000000000000
χ202222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-22-2-222000022000000000000000000000000000000
χ2122222222-2-2222222-2-222220000-2-2-2-2-20000222200000000000000000000-20000-2000000
χ2222222222-2-2222222-2-222220000-2-2-2-2-20000-2-2-2-200000000000000000000200002000000
χ2322222222-2-222-2-2-2-2-2-222-2-2000022-2-22000022-2-200000000000000000000-200002000000
χ2422222222-2-222-2-2-2-2-2-222-2-2000022-2-220000-2-2220000000000000000000020000-2000000
χ2522222222-2-2-2-22222-2-2-2-2-2-20000-2-2222000000000000000000000000000002-20002-20000
χ2622222222-2-2-2-22222-2-2-2-2-2-20000-2-222200000000000000000000000000000-22000-220000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22200002222-2000000000000000000000000000002-2000-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22200002222-200000000000000000000000000000-220002-20000
χ292-22-222-2-2002-22i2i−2i−2i002-22i−2i00000000000002i−2i2-200i2i2−i2−i222−2−222−2−2i2i2−i2−i200000000000000
χ302-22-222-2-2002-22i2i−2i−2i002-22i−2i00000000000002i−2i2-200−i2−i2i2i2−2−222−2−222−i2−i2i2i200000000000000
χ312-22-222-2-2002-22i2i−2i−2i002-22i−2i0000000000000−2i2i-2200i2i2−i2−i222−2−2−2−222−i2−i2i2i200000000000000
χ322-22-222-2-2002-22i2i−2i−2i002-22i−2i0000000000000−2i2i-2200−i2−i2i2i2−2−22222−2−2i2i2−i2−i200000000000000
χ332-22-222-2-2002-2−2i−2i2i2i002-2−2i2i00000000000002i−2i-2200i2i2−i2−i2−2−22222−2−2−i2−i2i2i200000000000000
χ342-22-222-2-2002-2−2i−2i2i2i002-2−2i2i00000000000002i−2i-2200−i2−i2i2i222−2−2−2−222i2i2−i2−i200000000000000
χ352-22-222-2-2002-2−2i−2i2i2i002-2−2i2i0000000000000−2i2i2-200i2i2−i2−i2−2−222−2−222i2i2−i2−i200000000000000
χ362-22-222-2-2002-2−2i−2i2i2i002-2−2i2i0000000000000−2i2i2-200−i2−i2i2i222−2−222−2−2−i2−i2i2i200000000000000
χ372-2-222-22-22-2002i−2i2i−2i2-2000022-2-22i−2i000002i−2i00000000000000i2−i2i2−i22−22−20000000000i2−i22−2
χ382-2-222-22-22-2002i−2i2i−2i2-2000022-2-22i−2i000002i−2i00000000000000−i2i2−i2i2−22−220000000000−i2i2−22
χ392-2-222-22-22-2002i−2i2i−2i2-20000-2-2222i−2i00000−2i2i00000000000000i2−i2i2−i22−22−20000000000−i2i2−22
χ402-2-222-22-22-2002i−2i2i−2i2-20000-2-2222i−2i00000−2i2i00000000000000−i2i2−i2i2−22−220000000000i2−i22−2
χ412-2-222-22-22-200−2i2i−2i2i2-2000022-2-2−2i2i00000−2i2i00000000000000i2−i2i2−i2−22−220000000000i2−i2−22
χ422-2-222-22-22-200−2i2i−2i2i2-2000022-2-2−2i2i00000−2i2i00000000000000−i2i2−i2i22−22−20000000000−i2i22−2
χ432-2-222-22-22-200−2i2i−2i2i2-20000-2-222−2i2i000002i−2i00000000000000i2−i2i2−i2−22−220000000000−i2i22−2
χ442-2-222-22-22-200−2i2i−2i2i2-20000-2-222−2i2i000002i−2i00000000000000−i2i2−i2i22−22−20000000000i2−i2−22
χ452-2-22-22-22222-20000-2-2-22002-22-2002-20000000002-22i−2i2i−2i0000000000002i−2i000000000000
χ462-2-22-22-22222-20000-2-2-22002-22-2002-20000000002-2−2i2i−2i2i000000000000−2i2i000000000000
χ472-2-22-22-22222-20000-2-2-2200-22-22002-2000000000-222i−2i2i−2i000000000000−2i2i000000000000
χ482-2-22-22-22222-20000-2-2-2200-22-22002-2000000000-22−2i2i−2i2i0000000000002i−2i000000000000
χ492-2-22-22-2222-220000-2-22-2002-22-200-22000000000-2200002i−2i2i−2i00000000000002i−2i0000000
χ502-2-22-22-2222-220000-2-22-2002-22-200-22000000000-220000−2i2i−2i2i0000000000000−2i2i0000000
χ512-2-22-22-2222-220000-2-22-200-22-2200-220000000002-200002i−2i2i−2i0000000000000−2i2i0000000
χ522-2-22-22-2222-220000-2-22-200-22-2200-220000000002-20000−2i2i−2i2i00000000000002i−2i0000000
χ534444-4-4-4-44-4000000-4400004-4-44000000000000000000000000000000000000000000000
χ544444-4-4-4-44-4000000-440000-444-4000000000000000000000000000000000000000000000
χ554444-4-4-4-4-440000004-400000000000004-400000000000000000000000000000000000000
χ564444-4-4-4-4-440000004-40000000000000-4400000000000000000000000000000000000000
χ5744-4-44-4-4400004-4-440000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ5844-4-44-4-4400004-4-44000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ5944-4-44-4-440000-444-40000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ6044-4-44-4-440000-444-4000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ6144-4-4-444-40044000000-4-400000000000000000000022−22−222200000000000000000000000000
χ6244-4-4-444-40044000000-4-4000000000000000000000−222222−2200000000000000000000000000
χ6344-4-4-444-400-4-40000004400000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ6444-4-4-444-400-4-4000000440000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ654-44-444-4-400-444i4i−4i−4i00-44−4i4i0000000000000000000000000000000000000000000000000
χ664-44-444-4-400-44−4i−4i4i4i00-444i−4i0000000000000000000000000000000000000000000000000
χ674-4-444-44-4-44004i−4i4i−4i-4400000000−4i4i0000000000000000000000000000000000000000000
χ684-4-444-44-4-4400−4i4i−4i4i-44000000004i−4i0000000000000000000000000000000000000000000
χ694-4-44-44-44-4-44-4000044-4400000000-4400000000000000000000000000000000000000000
χ704-4-44-44-44-4-4-440000444-4000000004-400000000000000000000000000000000000000000
χ718-88-8-8-888000000000000000000000000000000000000000000000000000000000000000

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