Finite Group Databasebeta

← Group #255483

Character table — Group #255483

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444422244444444888888888888888844444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111111-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ71111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ81111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1
χ9111111111111-1-1-1-11111-1-11111-1-111-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-1
χ10111111111111-1-1-1-11111-1-11111-1-111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-111-1-1-1-111
χ12111111111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-1111111-1-1
χ13111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11-1-1-11111-1-111
χ14111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-1-111-1-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1111-1-1-1-1-1-111
χ172222222222-2-2222222-2-2-2-2222222-2-2-2-2-2002200-2-2000000000000000000000000000000
χ182222222222-2-2222222-2-2-2-2-2-2-2-222-2-2-22200-2-20022000000000000000000000000000000
χ192222222222-2-2-2-2-2-222-2-2222222-2-2-2-222200-2-200-2-2000000000000000000000000000000
χ202222222222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-22-2-200220022000000000000000000000000000000
χ2122222222-2-2222222-2-222220000-2-2-2-2-20022002200000000000000000000-2-20000000000
χ2222222222-2-2222222-2-222220000-2-2-2-2-200-2-200-2-200000000000000000000220000000000
χ2322222222-2-222-2-2-2-2-2-222-2-2000022-2-22002200-2-200000000000000000000-220000000000
χ2422222222-2-222-2-2-2-2-2-222-2-2000022-2-2200-2-20022000000000000000000002-20000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-20000-2-22220000000000000000000000000000002-22-2000000
χ2622222222-2-2-2-22222-2-2-2-2-2-20000-2-2222000000000000000000000000000000-22-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22200002222-20000000000000000000000000000002-2-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22200002222-2000000000000000000000000000000-222-2000000
χ2922-2-2-222-2002-22i2i−2i−2i002-22i−2i000000000002i−2i002-20022−2−2i2i2−i2−i2i2i2−i2−i222−2−200000000000000
χ3022-2-2-222-2002-22i2i−2i−2i002-22i−2i000000000002i−2i002-200−2−222−i2−i2i2i2−i2−i2i2i2−2−22200000000000000
χ3122-2-2-222-2002-22i2i−2i−2i002-22i−2i00000000000−2i2i00-220022−2−2i2i2−i2−i2−i2−i2i2i2−2−22200000000000000
χ3222-2-2-222-2002-22i2i−2i−2i002-22i−2i00000000000−2i2i00-2200−2−222−i2−i2i2i2i2i2−i2−i222−2−200000000000000
χ3322-2-2-222-2002-2−2i−2i2i2i002-2−2i2i000000000002i−2i00-220022−2−2−i2−i2i2i2i2i2−i2−i2−2−22200000000000000
χ3422-2-2-222-2002-2−2i−2i2i2i002-2−2i2i000000000002i−2i00-2200−2−222i2i2−i2−i2−i2−i2i2i222−2−200000000000000
χ3522-2-2-222-2002-2−2i−2i2i2i002-2−2i2i00000000000−2i2i002-20022−2−2−i2−i2i2i2−i2−i2i2i222−2−200000000000000
χ3622-2-2-222-2002-2−2i−2i2i2i002-2−2i2i00000000000−2i2i002-200−2−222i2i2−i2−i2i2i2−i2−i2−2−22200000000000000
χ372-222-2-22-22-2002i−2i2i−2i2-2000022-2-22i−2i00000002i−2i000000000000i2−i2i2−i22−22−20000000000i2−i22−2
χ382-222-2-22-22-2002i−2i2i−2i2-2000022-2-22i−2i00000002i−2i000000000000−i2i2−i2i2−22−220000000000−i2i2−22
χ392-222-2-22-22-2002i−2i2i−2i2-20000-2-2222i−2i0000000−2i2i000000000000i2−i2i2−i22−22−20000000000−i2i2−22
χ402-222-2-22-22-2002i−2i2i−2i2-20000-2-2222i−2i0000000−2i2i000000000000−i2i2−i2i2−22−220000000000i2−i22−2
χ412-222-2-22-22-200−2i2i−2i2i2-2000022-2-2−2i2i0000000−2i2i000000000000i2−i2i2−i2−22−220000000000i2−i2−22
χ422-222-2-22-22-200−2i2i−2i2i2-2000022-2-2−2i2i0000000−2i2i000000000000−i2i2−i2i22−22−20000000000−i2i22−2
χ432-222-2-22-22-200−2i2i−2i2i2-20000-2-222−2i2i00000002i−2i000000000000i2−i2i2−i2−22−220000000000−i2i22−2
χ442-222-2-22-22-200−2i2i−2i2i2-20000-2-222−2i2i00000002i−2i000000000000−i2i2−i2i22−22−20000000000i2−i2−22
χ452-2-22-22-22222-20000-2-2-22002-22-2002-20000000002-200002i−2i2i−2i00000000000000002i−2i0000
χ462-2-22-22-22222-20000-2-2-22002-22-2002-20000000002-20000−2i2i−2i2i0000000000000000−2i2i0000
χ472-2-22-22-22222-20000-2-2-2200-22-22002-2000000000-2200002i−2i2i−2i0000000000000000−2i2i0000
χ482-2-22-22-22222-20000-2-2-2200-22-22002-2000000000-220000−2i2i−2i2i00000000000000002i−2i0000
χ492-2-22-22-2222-220000-2-22-2002-22-200-22000000000-222i−2i2i−2i0000000000002i−2i000000000000
χ502-2-22-22-2222-220000-2-22-2002-22-200-22000000000-22−2i2i−2i2i000000000000−2i2i000000000000
χ512-2-22-22-2222-220000-2-22-200-22-2200-220000000002-22i−2i2i−2i000000000000−2i2i000000000000
χ522-2-22-22-2222-220000-2-22-200-22-2200-220000000002-2−2i2i−2i2i0000000000002i−2i000000000000
χ5344-444-4-4-44-4000000-4400004-4-44000000000000000000000000000000000000000000000
χ5444-444-4-4-44-4000000-440000-444-4000000000000000000000000000000000000000000000
χ5544-444-4-4-4-440000004-400000000000004-400000000000000000000000000000000000000
χ5644-444-4-4-4-440000004-40000000000000-4400000000000000000000000000000000000000
χ5744-4-4-444-400-444i4i−4i−4i00-44−4i4i0000000000000000000000000000000000000000000000000
χ5844-4-4-444-400-44−4i−4i4i4i00-444i−4i0000000000000000000000000000000000000000000000000
χ594-444-4-44-4-44004i−4i4i−4i-4400000000−4i4i0000000000000000000000000000000000000000000
χ604-444-4-44-4-4400−4i4i−4i4i-44000000004i−4i0000000000000000000000000000000000000000000
χ614-44-444-4-40044000000-4-4000000000000000000000000022−22−22220000000000000000000000
χ624-44-444-4-40044000000-4-40000000000000000000000000−222222−220000000000000000000000
χ634-44-444-4-400-4-4000000440000000000000000000002i2−2i2−2i22i200000000000000000000000000
χ644-44-444-4-400-4-400000044000000000000000000000−2i22i22i2−2i200000000000000000000000000
χ654-4-44-44-44-4-44-4000044-4400000000-4400000000000000000000000000000000000000000
χ664-4-44-44-44-4-4-440000444-4000000004-400000000000000000000000000000000000000000
χ674-4-4-44-44400004-4-440000000000000000000000000000000002-2-222-2-2200000000000000
χ684-4-4-44-44400004-4-44000000000000000000000000000000000-222-2-222-200000000000000
χ694-4-4-44-4440000-444-40000000000000000000000000000000002-2-22-222-200000000000000
χ704-4-4-44-4440000-444-4000000000000000000000000000000000-222-22-2-2200000000000000
χ71888-8-8-8-88000000000000000000000000000000000000000000000000000000000000000

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