Finite Group Databasebeta

← Group #282739

Character table — Group #282739

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444442222444444888888884444444488888888888888884444444488882
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-11111-1-11111-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1111-1-111-1-111-1
χ91111111111111111-1-1-1-11111111111111111-1-1-1-11111111111-1-1-1-11111-11-1-1-1-1-1-111-1-1-1
χ101111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ111111111111111111-1-1-1-1111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1-1
χ131111111111111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11
χ141111111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-111111-1-11111-1
χ151111111111111111-1-1-1-11-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-111111111-1
χ161111111111111111-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-111-1-1-1-1-1-11
χ17222222222-2-222-22-22222-20000-2222200000022-2-200-2-200000000000000-2000000000000
χ18222222222-2-222-22-22222-20000-2-2-2-2-2000000-2-2-2-20022000000000000002000000000000
χ19222222222-2-222-22-2-2-2-2-2-20000-22222000000-2-22200-2-2000000000000002000000000000
χ20222222222-2-222-22-2-2-2-2-2-20000-2-2-2-2-20000002222002200000000000000-2000000000000
χ2122222222-222-2-22-220000-22222-200002222-2-200002200-2-20000000000000-200000000000
χ2222222222-222-2-22-220000-22222-20000-2-2-2-2-2-20000-2-200220000000000000200000000000
χ2322222222-222-2-22-220000-2-2-2-2-2-200002222220000-2-200-2-20000000000000200000000000
χ2422222222-222-2-22-220000-2-2-2-2-2-20000-2-2-2-22200002200220000000000000-200000000000
χ25222-2-22-2-2-2002-202022-2-20000002i2i−2i−2i22−2−2002i−2i0000002−2000022−2−2i2i2−i2−i20000000000i2−i20
χ26222-2-22-2-2-2002-202022-2-20000002i2i−2i−2i−2−222002i−2i000000−220000−2−222−i2−i2i2i20000000000−i2i20
χ27222-2-22-2-2-2002-202022-2-2000000−2i−2i2i2i22−2−200−2i2i0000002−2000022−2−2−i2−i2i2i20000000000−i2i20
χ28222-2-22-2-2-2002-202022-2-2000000−2i−2i2i2i−2−22200−2i2i000000−220000−2−222i2i2−i2−i20000000000i2−i20
χ29222-2-22-2-2-2002-2020-2-2220000002i2i−2i−2i22−2−200−2i2i0000002−20000−2−222i2i2−i2−i20000000000−i2i20
χ30222-2-22-2-2-2002-2020-2-2220000002i2i−2i−2i−2−22200−2i2i000000−22000022−2−2−i2−i2i2i20000000000i2−i20
χ31222-2-22-2-2-2002-2020-2-222000000−2i−2i2i2i22−2−2002i−2i0000002−20000−2−222−i2−i2i2i20000000000i2−i20
χ32222-2-22-2-2-2002-2020-2-222000000−2i−2i2i2i−2−222002i−2i000000−22000022−2−2i2i2−i2−i20000000000−i2i20
χ332-22-22-2-2202-20020-2000002i2i−2i−2i02−22−22i−2i2i−2i0000002-22−200i2i2−i2−i20000i2−i2i2−i2000000002−2000
χ342-22-22-2-2202-20020-2000002i2i−2i−2i02−22−2−2i2i−2i2i000000-222−200i2i2−i2−i20000−i2i2−i2i200000000−22000
χ352-22-22-2-2202-20020-2000002i2i−2i−2i0−22−222i−2i2i−2i0000002-2−2200−i2−i2i2i20000−i2i2−i2i200000000−22000
χ362-22-22-2-2202-20020-2000002i2i−2i−2i0−22−22−2i2i−2i2i000000-22−2200−i2−i2i2i20000i2−i2i2−i2000000002−2000
χ372-22-22-2-2202-20020-200000−2i−2i2i2i02−22−22i−2i2i−2i000000-222−200−i2−i2i2i20000i2−i2i2−i200000000−22000
χ382-22-22-2-2202-20020-200000−2i−2i2i2i02−22−2−2i2i−2i2i0000002-22−200−i2−i2i2i20000−i2i2−i2i2000000002−2000
χ392-22-22-2-2202-20020-200000−2i−2i2i2i0−22−222i−2i2i−2i000000-22−2200i2i2−i2−i20000−i2i2−i2i2000000002−2000
χ402-22-22-2-2202-20020-200000−2i−2i2i2i0−22−22−2i2i−2i2i0000002-2−2200i2i2−i2−i20000i2−i2i2−i200000000−22000
χ412-2-22-22-22222-2-2-22-22-22-222i−2i2i−2i-2000000002i−2i002-200000000000000000000002i−2i0000000
χ422-2-22-22-22222-2-2-22-22-22-22−2i2i−2i2i-200000000−2i2i002-20000000000000000000000−2i2i0000000
χ432-2-22-22-22222-2-2-22-2-22-2222i−2i2i−2i-2000000002i−2i00-220000000000000000000000−2i2i0000000
χ442-2-22-22-22222-2-2-22-2-22-222−2i2i−2i2i-200000000−2i2i00-2200000000000000000000002i−2i0000000
χ452-2-22-22-222-2-2-2-22222-22-2-200002000000000000-220000002-22-200000000002-2000000000
χ462-2-22-22-222-2-2-2-22222-22-2-200002000000000000-22000000-22-220000000000-22000000000
χ472-2-22-22-222-2-2-2-2222-22-22-2000020000000000002-20000002-22-20000000000-22000000000
χ482-2-22-22-222-2-2-2-2222-22-22-2000020000000000002-2000000-22-2200000000002-2000000000
χ492-2-22-22-22-22222-2-2-20000-22i−2i2i−2i200000000−2i2i000000000000002i−2i2i−2i00000000002-200000
χ502-2-22-22-22-22222-2-2-20000-22i−2i2i−2i200000000−2i2i00000000000000−2i2i−2i2i0000000000-2200000
χ512-2-22-22-22-22222-2-2-20000-2−2i2i−2i2i2000000002i−2i000000000000002i−2i2i−2i0000000000-2200000
χ522-2-22-22-22-22222-2-2-20000-2−2i2i−2i2i2000000002i−2i00000000000000−2i2i−2i2i00000000002-200000
χ5344444444-4-4-4-4-4-4-4-40000400004000000000000000000000000000000000000000000000
χ54444-4-44-4-4400-440-40000000000000002222−22−220000000000−22220000000000000000000000000
χ55444-4-44-4-4400-440-4000000000000000−22−222222000000000022−220000000000000000000000000
χ5644-4-4-4-44404-400-404000004-4-440000000000000000000000000000000000000000000000
χ5744-4-4-4-44404-400-40400000-444-40000000000000000000000000000000000000000000000
χ5844-4-4-4-4440-440040-40000000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5944-4-4-4-4440-440040-4000000000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ604-444-4-44-40000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000-222-20000000000000
χ614-444-4-44-40000000000000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000002-2-220000000000000
χ624-444-4-44-4000000000000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000002-2-220000000000000
χ634-444-4-44-4000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000-222-20000000000000
χ644-44-44-4-440-4400-404000000000022−2222−22000000000000−2222000000000000000000000000000
χ654-44-44-4-440-4400-4040000000000−2222−222200000000000022−22000000000000000000000000000
χ664-4-44-44-44-4-4-4444-44000040000-4000000000000000000000000000000000000000000000
χ674-4-4-4444-44004-40-4000000000000000000000000000000000002i2−2i2−2i22i200000000000000000
χ684-4-4-4444-44004-40-400000000000000000000000000000000000−2i22i22i2−2i200000000000000000
χ694-4-4-4444-4-400-440404-4-44000000000000000000000000000000000000000000000000000
χ704-4-4-4444-4-400-44040-444-4000000000000000000000000000000000000000000000000000
χ7188-888-8-8-8000000000000000000000000000000000000000000000000000000000000000

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