Finite Group Databasebeta

← Group #325502

Character table — Group #325502

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1111111122222222444444444444448888888888888888888888888888881616161632323232
order12222222444444444444444444888844448888888888888888888888888824884444
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-11-1
χ611111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-11-11
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-111-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1111-11-1
χ91111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11
χ101111111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-111-1
χ111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ121111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111-1-11
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-111-1-111-1-1
χ17222222222-2-222-2-2222-2-222-2-2-2-2000022-2-2000000000000000000000000002-2000000
χ18222222222-2-222-2-2222-2-222-2-2-2-20000-2-22200000000000000000000000000-22000000
χ19222222222-2-222-2-22-2-2-2-2-2-22222000022-2-200000000000000000000000000-22000000
χ20222222222-2-222-2-22-2-2-2-2-2-222220000-2-222000000000000000000000000002-2000000
χ2122222222-222-2-222-222-2-2-2-2-2-2222222000022-2-200000000-2-200000000000000000000
χ2222222222-222-2-222-222-2-2-2-2-2-222-2-2-2-20000-2-222000000002200000000000000000000
χ2322222222-222-2-222-2-2-2-2-22222-2-222220000-2-22200000000-2-200000000000000000000
χ2422222222-222-2-222-2-2-2-2-22222-2-2-2-2-2-2000022-2-2000000002200000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-222-2-200000000000000000000002i2i−2i−2i00000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-222-2-20000000000000000000000−2i−2i2i2i0000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000002i2i−2i−2i0000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2220000000000000000000000−2i−2i2i2i00000000002i−2i0000
χ29222-2-2-2-2202-2002-2000002i−2i2i−2i002i2i−2i−2i0000002-222−2−2i2i2−i2−i2000000i2i2−i2−i222−2−200000000
χ30222-2-2-2-2202-2002-2000002i−2i2i−2i002i2i−2i−2i0000002-2−2−222−i2−i2i2i2000000−i2−i2i2i2−2−22200000000
χ31222-2-2-2-2202-2002-2000002i−2i2i−2i00−2i−2i2i2i000000-2222−2−2−i2−i2i2i2000000i2i2−i2−i2−2−22200000000
χ32222-2-2-2-2202-2002-2000002i−2i2i−2i00−2i−2i2i2i000000-22−2−222i2i2−i2−i2000000−i2−i2i2i222−2−200000000
χ33222-2-2-2-2202-2002-200000−2i2i−2i2i002i2i−2i−2i000000-2222−2−2i2i2−i2−i2000000−i2−i2i2i2−2−22200000000
χ34222-2-2-2-2202-2002-200000−2i2i−2i2i002i2i−2i−2i000000-22−2−222−i2−i2i2i2000000i2i2−i2−i222−2−200000000
χ35222-2-2-2-2202-2002-200000−2i2i−2i2i00−2i−2i2i2i0000002-222−2−2−i2−i2i2i2000000−i2−i2i2i222−2−200000000
χ36222-2-2-2-2202-2002-200000−2i2i−2i2i00−2i−2i2i2i0000002-2−2−222i2i2−i2−i2000000i2i2−i2−i2−2−22200000000
χ372-2222-2-2-22-2-2-2-2222002-20000002-22-2000000002i−2i2i−2i2i−2i2i−2i2-200000000000000000000
χ382-2222-2-2-22-2-2-2-2222002-20000002-22-200000000−2i2i−2i2i−2i2i−2i2i2-200000000000000000000
χ392-2222-2-2-22-2-2-2-2222002-2000000-22-22000000002i−2i2i−2i−2i2i−2i2i-2200000000000000000000
χ402-2222-2-2-22-2-2-2-2222002-2000000-22-2200000000−2i2i−2i2i2i−2i2i−2i-2200000000000000000000
χ412-2222-2-2-2-2-2-22222-200-220000002-22-20000000000000000-2200002i−2i2i−2i2i−2i2i−2i00000000
χ422-2222-2-2-2-2-2-22222-200-220000002-22-20000000000000000-220000−2i2i−2i2i−2i2i−2i2i00000000
χ432-2222-2-2-2-2-2-22222-200-22000000-22-2200000000000000002-200002i−2i2i−2i−2i2i−2i2i00000000
χ442-2222-2-2-2-2-2-22222-200-22000000-22-2200000000000000002-20000−2i2i−2i2i2i−2i2i−2i00000000
χ452-22-2-222-20-22002-202i−2i0000002i−2i2i−2i−2i2i00002-200i2−i2−i2i2−222−20000002−2−22−i2i2i2−i200000000
χ462-22-2-222-20-22002-202i−2i0000002i−2i2i−2i−2i2i00002-200−i2i2i2−i22−2−22000000−222−2i2−i2−i2i200000000
χ472-22-2-222-20-22002-202i−2i0000002i−2i−2i2i2i−2i0000-2200i2−i2−i2i22−2−220000002−2−22i2−i2−i2i200000000
χ482-22-2-222-20-22002-202i−2i0000002i−2i−2i2i2i−2i0000-2200−i2i2i2−i2−222−2000000−222−2−i2i2i2−i200000000
χ492-22-2-222-20-22002-20−2i2i000000−2i2i2i−2i−2i2i0000-2200i2−i2−i2i2−222−2000000−222−2i2−i2−i2i200000000
χ502-22-2-222-20-22002-20−2i2i000000−2i2i2i−2i−2i2i0000-2200−i2i2i2−i22−2−220000002−2−22−i2i2i2−i200000000
χ512-22-2-222-20-22002-20−2i2i000000−2i2i−2i2i2i−2i00002-200i2−i2−i2i22−2−22000000−222−2−i2i2i2−i200000000
χ522-22-2-222-20-22002-20−2i2i000000−2i2i−2i2i2i−2i00002-200−i2i2i2−i2−222−20000002−2−22i2−i2−i2i200000000
χ53444-4-4-4-440-4400-44000004i−4i−4i4i00000000000000000000000000000000000000000000
χ54444-4-4-4-440-4400-4400000−4i4i4i−4i00000000000000000000000000000000000000000000
χ5544-44-44-4-44004-400-40000000000000000000000000000000022−2222−220000000000000000
χ5644-44-44-4-44004-400-400000000000000000000000000000000−2222−22220000000000000000
χ5744-44-44-4-4-400-44004000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5844-44-44-4-4-400-4400400000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-4444-4-4-4444-4-4-4-4400-44000000000000000000000000000000000000000000000000
χ604-4444-4-4-4-44444-4-4-4004-4000000000000000000000000000000000000000000000000
χ614-44-4-444-404-400-4404i−4i000000−4i4i000000000000000000000000000000000000000000
χ624-44-4-444-404-400-440−4i4i0000004i−4i000000000000000000000000000000000000000000
χ634-4-44-4-444400-4400-4000000000000004i−4i000000000000000000000000000000000000
χ644-4-44-4-444400-4400-400000000000000−4i4i000000000000000000000000000000000000
χ654-4-44-4-444-4004-400400000000000000004-40000000000000000000000000000000000
χ664-4-44-4-444-4004-40040000000000000000-440000000000000000000000000000000000
χ6788-8-88-88-8000000000000000000000000000000000000000000000000000000000000
χ688-8-8-888-88000000000000000000000000000000000000000000000000000000000000

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