Finite Group Databasebeta

← Group #349747

Character table — Group #349747

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
χ311111111111111111111111111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-11-1-1-1-1-1-11111-1-1111-1-111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-11-1-1-1-1-1-11111-1-1111-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-11-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111-111-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-11-1-1-1-1-1-11111-1-11-1-1-1-1-1-11111-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ1722222222222-2-2-22-222-20000220000-2-2-22200-2-20000-2-2-200000022000000000000000000
χ1822222222222-2-2-22-222-20000220000-2-2-2-2-200220000-222000000-2-2000000000000000000
χ1922222222222-2-2-22-2-2-2-20000-2-2000022-22200-2-20000222000000-2-2000000000000000000
χ2022222222222-2-2-22-2-2-2-20000-2-2000022-2-2-2002200002-2-200000022000000000000000000
χ2122222222-2-2-2222-2222-22222-2-2-2-2-2-2-2-2-200-2-200000020000002200000000000000000000
χ2222222222-2-2-2222-2222-2-2-2-2-2-2-22222-2-2-200220000002000000-2-200000000000000000000
χ2322222222-2-2-2222-22-2-2-2222222222222-200-2-2000000-2000000-2-200000000000000000000
χ2422222222-2-2-2222-22-2-2-2-2-2-2-222-2-2-2-222-20022000000-20000002200000000000000000000
χ2522222222-2-2-2-2-2-2-2-22220000-2-2000022200000022-2-2-20022-2-20000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22220000-2-20000222000000-2-222-200-2-2220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-220000220000-2-2200000022-2-2200-2-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-220000220000-2-22000000-2-22220022-2-20000000000000000000000
χ292-2222-2-2-222-222-2-2-200222-2-200000000-22-22-22-22-22-200000000000000000000000000000
χ302-2222-2-2-222-222-2-2-200222-2-200000000-2-222-2-22-22-2200000000000000000000000000000
χ312-2222-2-2-222-222-2-2-2002-2-22200000000-22-2-222-2-22-2200000000000000000000000000000
χ322-2222-2-2-222-222-2-2-2002-2-22200000000-2-22-22-222-22-200000000000000000000000000000
χ332-2222-2-2-222-2-2-22-2200-20000002i2i−2i−2i0022-200-2200000002i−2i2i−2i2i−2i00000000000000000000
χ342-2222-2-2-222-2-2-22-2200-20000002i2i−2i−2i002-22002-20000000−2i2i−2i2i2i−2i00000000000000000000
χ352-2222-2-2-222-2-2-22-2200-2000000−2i−2i2i2i0022-200-220000000−2i2i−2i2i−2i2i00000000000000000000
χ362-2222-2-2-222-2-2-22-2200-2000000−2i−2i2i2i002-22002-200000002i−2i2i−2i−2i2i00000000000000000000
χ372-2222-2-2-2-2-2222-22-200-222-2-200000000200-2200000002i−2i2i−2i−2i2i002i−2i000000000000000000
χ382-2222-2-2-2-2-2222-22-200-222-2-200000000200-220000000−2i2i−2i2i2i−2i00−2i2i000000000000000000
χ392-2222-2-2-2-2-2222-22-200-2-2-222000000002002-200000002i−2i−2i2i2i−2i002i−2i000000000000000000
χ402-2222-2-2-2-2-2222-22-200-2-2-222000000002002-20000000−2i2i2i−2i−2i2i00−2i2i000000000000000000
χ412-2222-2-2-2-2-22-2-22220020000002i2i−2i−2i00-20000002-2-2202i−2i0000−2i2i−2i2i000000000000000000
χ422-2222-2-2-2-2-22-2-22220020000002i2i−2i−2i00-2000000-222-20−2i2i0000−2i2i2i−2i000000000000000000
χ432-2222-2-2-2-2-22-2-2222002000000−2i−2i2i2i00-20000002-2-220−2i2i00002i−2i2i−2i000000000000000000
χ442-2222-2-2-2-2-22-2-2222002000000−2i−2i2i2i00-2000000-222-202i−2i00002i−2i−2i2i000000000000000000
χ452-2-22-22-220002-220-20002i−2i2i−2i2-22i−2i2i−2i2-20000000000000000000000i2i2−i2−i2i2i2−i2−i22−22−2000000
χ462-2-22-22-220002-220-20002i−2i2i−2i2-22i−2i2i−2i2-20000000000000000000000−i2−i2i2i2−i2−i2i2i2−22−22000000
χ472-2-22-22-220002-220-20002i−2i2i−2i-22−2i2i−2i2i-220000000000000000000000i2i2−i2−i2−i2−i2i2i22−2−22000000
χ482-2-22-22-220002-220-20002i−2i2i−2i-22−2i2i−2i2i-220000000000000000000000−i2−i2i2i2i2i2−i2−i2−222−2000000
χ492-2-22-22-220002-220-2000−2i2i−2i2i2-2−2i2i−2i2i2-20000000000000000000000i2i2−i2−i2i2i2−i2−i2−22−22000000
χ502-2-22-22-220002-220-2000−2i2i−2i2i2-2−2i2i−2i2i2-20000000000000000000000−i2−i2i2i2−i2−i2i2i22−22−2000000
χ512-2-22-22-220002-220-2000−2i2i−2i2i-222i−2i2i−2i-220000000000000000000000i2i2−i2−i2−i2−i2i2i2−222−2000000
χ522-2-22-22-220002-220-2000−2i2i−2i2i-222i−2i2i−2i-220000000000000000000000−i2−i2i2i2i2i2−i2−i22−2−22000000
χ5344-44-4-44-40004-4-4040004i−4i−4i4i000000000000000000000000000000000000000000000000
χ5444-44-4-44-40004-4-404000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ5544-44-4-44-4000-4440-40000000004-4-44000000000000000000000000000000000000000000
χ5644-44-4-44-4000-4440-4000000000-444-4000000000000000000000000000000000000000000
χ5744-4-444-4-44-44000-40000000000000000000000000000000000000022−2222−2200000000000000
χ5844-4-444-4-44-44000-400000000000000000000000000000000000000−2222−222200000000000000
χ5944-4-444-4-4-44-400040000000000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ6044-4-444-4-4-44-40004000000000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ614-44-4-444-4000000004i−4i000000000000000000000000000000000002i−2i−2i2i2-2-220000000000
χ624-44-4-444-4000000004i−4i00000000000000000000000000000000000−2i2i2i−2i-222-20000000000
χ634-44-4-444-400000000−4i4i000000000000000000000000000000000002i−2i−2i2i-222-20000000000
χ644-44-4-444-400000000−4i4i00000000000000000000000000000000000−2i2i2i−2i2-2-220000000000
χ654-4-44-44-44000-44-40400000004-40000-440000000000000000000000000000000000000000
χ664-4-44-44-44000-44-4040000000-4400004-40000000000000000000000000000000000000000
χ674-4-4-44-4444-4-400040000000000000000000000000000000000000000000000000022−220000
χ684-4-4-44-4444-4-4000400000000000000000000000000000000000000000000000000−22220000
χ694-4-4-44-444-444000-400000000000000000000000000000000000000000000000000002i2−2i200
χ704-4-4-44-444-444000-40000000000000000000000000000000000000000000000000000−2i22i200
χ71888-8-8-8-88000000000000000000000000000000000000000000000000000000000000000

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