Finite Group Databasebeta

← Group #348993

Character table — Group #348993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444448888888888888888888888888888816161616161616163232
order12222222444444444444444444444444224444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1111-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1111-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-1111-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1111-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-1-1-1-1-1-1-11-1-11111111-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-1-1-1-1-1-1-11-1-11111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-22-222-2-22222-2222222-2-2-2-200000000-2-200000000000000000000000000
χ1822222222222-2-2-22-222-2-2-2-2-2-2-222-2-2-2-2-222-2000000002200000000000000000000000000
χ1922222222222-2-2-22-2-2-2222222-2-2-2-2-2-2-2-222200000000-2-200000000000000000000000000
χ2022222222222-2-2-22-2-2-222-2-2-2-2-2-2-22222-2-2-22000000002200000000000000000000000000
χ2122222222-2-2-2222-2222-2-20000-2-2-20000-200222-2-2000000220000-2-2000000000000000000
χ2222222222-2-2-2222-2222-2-20000-2-2-20000-2002-2-222000000-2-2000022000000000000000000
χ2322222222-2-2-2222-22-2-2220000-2220000-200-222-2-2000000-2-2000022000000000000000000
χ2422222222-2-2-2222-22-2-2220000-2220000-200-2-2-222000000220000-2-2000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200002-2-20000200-2000022-2-2000022-2-200000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222200002-2-20000200-20000-2-2220000-2-22200000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2000022200002002000022-2-20000-2-22200000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-20000222000020020000-2-222000022-2-200000000000000000000
χ2922-22-22-2-22-2-2000202-2002i2i−2i−2i02-22i2i−2i−2i0000000000000000000000i2i2−i2−i2i2i2−i2−i22−22−2000000
χ3022-22-22-2-22-2-2000202-2002i2i−2i−2i02-22i2i−2i−2i0000000000000000000000−i2−i2i2i2−i2−i2i2i2−22−22000000
χ3122-22-22-2-22-2-2000202-200−2i−2i2i2i02-2−2i−2i2i2i0000000000000000000000i2i2−i2−i2i2i2−i2−i2−22−22000000
χ3222-22-22-2-22-2-2000202-200−2i−2i2i2i02-2−2i−2i2i2i0000000000000000000000−i2−i2i2i2−i2−i2i2i22−22−2000000
χ3322-22-22-2-22-2-200020-22002i2i−2i−2i0-22−2i−2i2i2i0000000000000000000000i2i2−i2−i2−i2−i2i2i22−2−22000000
χ3422-22-22-2-22-2-200020-22002i2i−2i−2i0-22−2i−2i2i2i0000000000000000000000−i2−i2i2i2i2i2−i2−i2−222−2000000
χ3522-22-22-2-22-2-200020-2200−2i−2i2i2i0-222i2i−2i−2i0000000000000000000000i2i2−i2−i2−i2−i2i2i2−222−2000000
χ3622-22-22-2-22-2-200020-2200−2i−2i2i2i0-222i2i−2i−2i0000000000000000000000−i2−i2i2i2i2i2−i2−i22−2−22000000
χ372-2-22-2-22222-222-2-2-200002i−2i2i−2i-200000020002i−2i2i−2i2-22-22i−2i00000000000000000000000000
χ382-2-22-2-22222-222-2-2-200002i−2i2i−2i-20000002000−2i2i−2i2i-22-222i−2i00000000000000000000000000
χ392-2-22-2-22222-222-2-2-20000−2i2i−2i2i-200000020002i−2i2i−2i-22-22−2i2i00000000000000000000000000
χ402-2-22-2-22222-222-2-2-20000−2i2i−2i2i-20000002000−2i2i−2i2i2-22-2−2i2i00000000000000000000000000
χ412-2-22-2-22222-2-2-22-2200002i−2i2i−2i2000000-200000000000−2i2i2-22i−2i2i−2i2-2000000000000000000
χ422-2-22-2-22222-2-2-22-2200002i−2i2i−2i2000000-200000000000−2i2i-22−2i2i−2i2i-22000000000000000000
χ432-2-22-2-22222-2-2-22-220000−2i2i−2i2i2000000-2000000000002i−2i2-2−2i2i−2i2i2-2000000000000000000
χ442-2-22-2-22222-2-2-22-220000−2i2i−2i2i2000000-2000000000002i−2i-222i−2i2i−2i-22000000000000000000
χ452-2-22-2-222-2-2222-22-2000000002002-22-2-22-202i−2i−2i2i000000002i−2i−2i2i00000000000000000000
χ462-2-22-2-222-2-2222-22-2000000002002-22-2-22-20−2i2i2i−2i00000000−2i2i2i−2i00000000000000000000
χ472-2-22-2-222-2-2222-22-200000000200-22-22-2-2202i−2i−2i2i00000000−2i2i2i−2i00000000000000000000
χ482-2-22-2-222-2-2222-22-200000000200-22-22-2-220−2i2i2i−2i000000002i−2i−2i2i00000000000000000000
χ492-2-22-2-222-2-22-2-222200000000-2002-22-22-22000002-2-22002-20000-22000000000000000000
χ502-2-22-2-222-2-22-2-222200000000-2002-22-22-2200000-222-200-2200002-2000000000000000000
χ512-2-22-2-222-2-22-2-222200000000-200-22-2222-2000002-2-2200-2200002-2000000000000000000
χ522-2-22-2-222-2-22-2-222200000000-200-22-2222-200000-222-2002-20000-22000000000000000000
χ53444-4-4-4-440004-440-4000000000000000000000000000000000000000000000000022−220000
χ54444-4-4-4-440004-440-40000000000000000000000000000000000000000000000000−22220000
χ55444-4-4-4-44000-44-4040000000000000000000000000000000000000000000000000002i2−2i200
χ56444-4-4-4-44000-44-404000000000000000000000000000000000000000000000000000−2i22i200
χ5744-44-44-4-4-444000-404-40000000-4400000000000000000000000000000000000000000000
χ5844-44-44-4-4-444000-40-4400000004-400000000000000000000000000000000000000000000
χ594-4444-4-4-44-44000-4000004-4-4400000000000000000000000000000000000000000000000
χ604-4444-4-4-44-44000-400000-444-400000000000000000000000000000000000000000000000
χ614-4444-4-4-4-44-400040000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ624-4444-4-4-4-44-40004000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ634-44-4-444-400000000004i−4i0000000000000000000000000000000002i−2i2i−2i2-22-20000000000
χ644-44-4-444-400000000004i−4i000000000000000000000000000000000−2i2i−2i2i-22-220000000000
χ654-44-4-444-40000000000−4i4i0000000000000000000000000000000002i−2i2i−2i-22-220000000000
χ664-44-4-444-40000000000−4i4i000000000000000000000000000000000−2i2i−2i2i2-22-20000000000
χ674-4-4-444-440004-4-404000000000000000000000000000000000000022−22−222200000000000000
χ684-4-4-444-440004-4-4040000000000000000000000000000000000000−222222−2200000000000000
χ694-4-4-444-44000-4440-4000000000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ704-4-4-444-44000-4440-400000000000000000000000000000000000000000−2i22i22i2−2i20000000000
χ7188-8-88-88-8000000000000000000000000000000000000000000000000000000000000000

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