Finite Group Databasebeta

← Group #6441908

Character table — Group #6441908

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222222244444444444444888888882244444444448888442222222222224444444444444488888888224444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-11111-1-1
χ911111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-111111-1-1-1-111-1-1-1111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-111111-1-1-1-111-1-1-11
χ1011111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1111-1-111-1-1-1-1111-111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1111-1-111-1-1-1-1111-1
χ1111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-11-1-1111111-1-11-111111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-11-1-1111111-1-11-1
χ1211111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-111-1111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-111-11
χ1311111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-1
χ1411111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-111-1-111-1-1-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-111-1-111-1-1-11
χ1511111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-111-1111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-111-11
χ1611111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-111-1-11111-1-11-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-111-1-11111-1-11-1
χ17222222222222-2-2-2-2-2-2222200000000000000-200-2000000000000222222222222-2-2-2-2-2-2222200000000000000-200-2000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2000000000000002002000000000000222222222222-2-2-2-2-2-2-2-2-2-2000000000000002002000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-200000000000000200-200000000000022222222-2-2-2-2-2-2-2-22222-2-200000000000000200-2000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-22200000000000000-200200000000000022222222-2-2-2-2-2-2-2-222-2-22200000000000000-2002000000000000
χ2122-222-2-2-222-2-222-2-22-200000000000000002-202-2000000000000022-222-2-2-222-2-222-2-22-200000000000000002-202-20000000000000
χ2222-222-2-2-222-2-222-2-22-20000000000000000-220-22000000000000022-222-2-2-222-2-222-2-22-20000000000000000-220-220000000000000
χ2322-222-2-2-222-2-2-2-222-2200002i2i−2i−2i0000000000000000002i−2i00000022-222-2-2-222-2-2-2-222-2200002i2i−2i−2i0000000000000000002i−2i000000
χ2422-222-2-2-222-2-2-2-222-220000−2i−2i2i2i000000000000000000−2i2i00000022-222-2-2-222-2-2-2-222-220000−2i−2i2i2i000000000000000000−2i2i000000
χ2522-222-2-2-2-2-22222-2-2-2200000000000000002-20-22000000000000022-222-2-2-2-2-22222-2-2-2200000000000000002-20-220000000000000
χ2622-222-2-2-2-2-22222-2-2-220000000000000000-2202-2000000000000022-222-2-2-2-2-22222-2-2-220000000000000000-2202-20000000000000
χ2722-222-2-2-2-2-222-2-2222-200002i2i−2i−2i000000000000000000−2i2i00000022-222-2-2-2-2-222-2-2222-200002i2i−2i−2i000000000000000000−2i2i000000
χ2822-222-2-2-2-2-222-2-2222-20000−2i−2i2i2i0000000000000000002i−2i00000022-222-2-2-2-2-222-2-2222-20000−2i−2i2i2i0000000000000000002i−2i000000
χ292-222-2-22-22-22-20000002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i20000000000002−22−2002-222-2-22-22-22-20000002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i20000000000002−22−200
χ302-222-2-22-22-22-20000002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2000000000000−22−22002-222-2-22-22-22-20000002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2000000000000−22−2200
χ312-222-2-22-22-22-2000000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2000000000000−22−22002-222-2-22-22-22-2000000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2000000000000−22−2200
χ322-222-2-22-22-22-2000000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i20000000000002−22−2002-222-2-22-22-22-2000000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i20000000000002−22−200
χ332-222-2-22-2-22-220000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i20000000000002−2−22002-222-2-22-2-22-220000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i20000000000002−2−2200
χ342-222-2-22-2-22-220000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2000000000000−222−2002-222-2-22-2-22-220000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2000000000000−222−200
χ352-222-2-22-2-22-22000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2000000000000−222−2002-222-2-22-2-22-22000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2000000000000−222−200
χ362-222-2-22-2-22-22000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000002−2−22002-222-2-22-2-22-22000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000002−2−2200
χ372-22-22-2-2200002-22-20000002-22-22i−2i2i−2i00000000002i−2i00000000002-22-22-2-2200002-22-20000002-22-22i−2i2i−2i00000000002i−2i0000000000
χ382-22-22-2-2200002-22-20000002-22-2−2i2i−2i2i0000000000−2i2i00000000002-22-22-2-2200002-22-20000002-22-2−2i2i−2i2i0000000000−2i2i0000000000
χ392-22-22-2-2200002-22-2000000-22-222i−2i2i−2i0000000000−2i2i00000000002-22-22-2-2200002-22-2000000-22-222i−2i2i−2i0000000000−2i2i0000000000
χ402-22-22-2-2200002-22-2000000-22-22−2i2i−2i2i00000000002i−2i00000000002-22-22-2-2200002-22-2000000-22-22−2i2i−2i2i00000000002i−2i0000000000
χ412-2-2-2222-20000-222-20000002i−2i−2i2i00002i−2i2i−2i000000002-2000000002-2-2-2222-20000-222-20000002i−2i−2i2i00002i−2i2i−2i000000002-200000000
χ422-2-2-2222-20000-222-20000002i−2i−2i2i0000−2i2i−2i2i00000000-22000000002-2-2-2222-20000-222-20000002i−2i−2i2i0000−2i2i−2i2i00000000-2200000000
χ432-2-2-2222-20000-222-2000000−2i2i2i−2i00002i−2i2i−2i00000000-22000000002-2-2-2222-20000-222-2000000−2i2i2i−2i00002i−2i2i−2i00000000-2200000000
χ442-2-2-2222-20000-222-2000000−2i2i2i−2i0000−2i2i−2i2i000000002-2000000002-2-2-2222-20000-222-2000000−2i2i2i−2i0000−2i2i−2i2i000000002-200000000
χ45444-4-44-4-400000000000000000022−22−22220000000000000000000000444-4-44-4-400000000000000000022−22−22220000000000000000000000
χ46444-4-44-4-4000000000000000000−222222−220000000000000000000000444-4-44-4-4000000000000000000−222222−220000000000000000000000
χ4744-4-4-4-444000000000000000000000022−22−222200000000000000000044-4-4-4-444000000000000000000000022−22−2222000000000000000000
χ4844-4-4-4-4440000000000000000000000−222222−2200000000000000000044-4-4-4-4440000000000000000000000−222222−22000000000000000000
χ494-44-44-4-440000-44-440000000000000000000000000000000000004-44-44-4-440000-44-44000000000000000000000000000000000000
χ504-4-44-44-444-4-4400000000000000000000000000000000000000004-4-44-44-444-4-440000000000000000000000000000000000000000
χ514-4-44-44-44-444-400000000000000000000000000000000000000004-4-44-44-44-444-40000000000000000000000000000000000000000
χ524-4-4-4444-400004-4-440000000000000000000000000000000000004-4-4-4444-400004-4-44000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111
χ551111111111111111111111-1-1-1-111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-111-1111111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-1-1-1-1-1111111-1-1
χ57111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111
χ58111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ59111111111111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1
χ60111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-11-1-1-1-111-1-1-1-111
χ6111111111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-111111-1-1-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-11111-1-1111-1
χ6211111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-1-1-111-1-11111-1-1-11
χ6311111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-11-1-1111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1111-111-1-1-1-1-1-111-11
χ6411111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1111-1-1-111-1-111-1-11-1
χ6511111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1111-1-1111111-1-1-11
χ6611111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-111-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-111111-1-111-1-1111-1
χ6711111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1111-1-1-1-111-1-11-1
χ6811111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111-111-1-11111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-111-1-1-11-1-111-1-1-1-111-11
χ69222222222222-2-2-2-2-2-2222200000000000000-200-2000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2000000000000002002000000000000
χ70222222222222-2-2-2-2-2-2-2-2-2-2000000000000002002000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222200000000000000-200-2000000000000
χ7122222222-2-2-2-2-2-2-2-22222-2-200000000000000200-2000000000000-2-2-2-2-2-2-2-222222222-2-2-2-22200000000000000-2002000000000000
χ7222222222-2-2-2-2-2-2-2-222-2-22200000000000000-2002000000000000-2-2-2-2-2-2-2-222222222-2-222-2-200000000000000200-2000000000000
χ7322-222-2-2-222-2-222-2-22-200000000000000002-202-20000000000000-2-22-2-2222-2-222-2-222-220000000000000000-220-220000000000000
χ7422-222-2-2-222-2-222-2-22-20000000000000000-220-220000000000000-2-22-2-2222-2-222-2-222-2200000000000000002-202-20000000000000
χ7522-222-2-2-222-2-2-2-222-2200002i2i−2i−2i0000000000000000002i−2i000000-2-22-2-2222-2-22222-2-22-20000−2i−2i2i2i000000000000000000−2i2i000000
χ7622-222-2-2-222-2-2-2-222-220000−2i−2i2i2i000000000000000000−2i2i000000-2-22-2-2222-2-22222-2-22-200002i2i−2i−2i0000000000000000002i−2i000000
χ7722-222-2-2-2-2-22222-2-2-2200000000000000002-20-220000000000000-2-22-2-222222-2-2-2-2222-20000000000000000-2202-20000000000000
χ7822-222-2-2-2-2-22222-2-2-220000000000000000-2202-20000000000000-2-22-2-222222-2-2-2-2222-200000000000000002-20-220000000000000
χ7922-222-2-2-2-2-222-2-2222-200002i2i−2i−2i000000000000000000−2i2i000000-2-22-2-222222-2-222-2-2-220000−2i−2i2i2i0000000000000000002i−2i000000
χ8022-222-2-2-2-2-222-2-2222-20000−2i−2i2i2i0000000000000000002i−2i000000-2-22-2-222222-2-222-2-2-2200002i2i−2i−2i000000000000000000−2i2i000000
χ812-222-2-22-22-22-20000002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i20000000000002−22−200-22-2-222-22-22-22000000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i2000000000000−22−2200
χ822-222-2-22-22-22-20000002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i2000000000000−22−2200-22-2-222-22-22-22000000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i20000000000002−22−200
χ832-222-2-22-22-22-2000000−2i2i−2i2i0000i2i2−i2−i2i2i2−i2−i2000000000000−22−2200-22-2-222-22-22-220000002i−2i2i−2i0000−i2−i2i2i2−i2−i2i2i20000000000002−22−200
χ842-222-2-22-22-22-2000000−2i2i−2i2i0000−i2−i2i2i2−i2−i2i2i20000000000002−22−200-22-2-222-22-22-220000002i−2i2i−2i0000i2i2−i2−i2i2i2−i2−i2000000000000−22−2200
χ852-222-2-22-2-22-220000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i20000000000002−2−2200-22-2-222-222-22-2000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i2000000000000−222−200
χ862-222-2-22-2-22-220000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2000000000000−222−200-22-2-222-222-22-2000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000000000002−2−2200
χ872-222-2-22-2-22-22000000−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2000000000000−222−200-22-2-222-222-22-20000002i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i20000000000002−2−2200
χ882-222-2-22-2-22-22000000−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000000000002−2−2200-22-2-222-222-22-20000002i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i2000000000000−222−200
χ892-22-22-2-2200002-22-20000002-22-22i−2i2i−2i00000000002i−2i0000000000-22-22-222-20000-22-22000000-22-22−2i2i−2i2i0000000000−2i2i0000000000
χ902-22-22-2-2200002-22-20000002-22-2−2i2i−2i2i0000000000−2i2i0000000000-22-22-222-20000-22-22000000-22-222i−2i2i−2i00000000002i−2i0000000000
χ912-22-22-2-2200002-22-2000000-22-222i−2i2i−2i0000000000−2i2i0000000000-22-22-222-20000-22-220000002-22-2−2i2i−2i2i00000000002i−2i0000000000
χ922-22-22-2-2200002-22-2000000-22-22−2i2i−2i2i00000000002i−2i0000000000-22-22-222-20000-22-220000002-22-22i−2i2i−2i0000000000−2i2i0000000000
χ932-2-2-2222-20000-222-20000002i−2i−2i2i00002i−2i2i−2i000000002-200000000-2222-2-2-2200002-2-22000000−2i2i2i−2i0000−2i2i−2i2i00000000-2200000000
χ942-2-2-2222-20000-222-20000002i−2i−2i2i0000−2i2i−2i2i00000000-2200000000-2222-2-2-2200002-2-22000000−2i2i2i−2i00002i−2i2i−2i000000002-200000000
χ952-2-2-2222-20000-222-2000000−2i2i2i−2i00002i−2i2i−2i00000000-2200000000-2222-2-2-2200002-2-220000002i−2i−2i2i0000−2i2i−2i2i000000002-200000000
χ962-2-2-2222-20000-222-2000000−2i2i2i−2i0000−2i2i−2i2i000000002-200000000-2222-2-2-2200002-2-220000002i−2i−2i2i00002i−2i2i−2i00000000-2200000000
χ97444-4-44-4-400000000000000000022−22−22220000000000000000000000-4-4-444-444000000000000000000−222222−220000000000000000000000
χ98444-4-44-4-4000000000000000000−222222−220000000000000000000000-4-4-444-44400000000000000000022−22−22220000000000000000000000
χ9944-4-4-4-444000000000000000000000022−22−2222000000000000000000-4-44444-4-40000000000000000000000−222222−22000000000000000000
χ10044-4-4-4-4440000000000000000000000−222222−22000000000000000000-4-44444-4-4000000000000000000000022−22−2222000000000000000000
χ1014-44-44-4-440000-44-44000000000000000000000000000000000000-44-44-444-400004-44-4000000000000000000000000000000000000
χ1024-4-44-44-444-4-440000000000000000000000000000000000000000-444-44-44-4-444-40000000000000000000000000000000000000000
χ1034-4-44-44-44-444-40000000000000000000000000000000000000000-444-44-44-44-4-440000000000000000000000000000000000000000
χ1044-4-4-4444-400004-4-44000000000000000000000000000000000000-4444-4-4-440000-444-4000000000000000000000000000000000000

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