Finite Group Databasebeta

← Group #6449813

Character table — Group #6449813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882244444444448888442222222244444444444444444488888888224444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ71111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ91111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-1-111-1-111-1-11-11111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-1-111-1-111-1-11-1
χ101111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-1-111-111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-1-111-11
χ111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-11
χ121111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-1-1111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-1-1111-1
χ131111111111-1-1-1-111-1-111-1-111111111-1-1-1-111-11-1-1-1-1-1-111-1-111-111111111111-1-1-1-111-1-111-1-111111111-1-1-1-111-11-1-1-1-1-1-111-1-111-11
χ141111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-1-11-11111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-1-11-1
χ151111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1111-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1111-1
χ161111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-11
χ1722222222-2-22222-2-22222-2-200000000000000-2-20000000000000022222222-2-22222-2-22222-2-200000000000000-2-200000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-200000000000000220000000000000022222222-2-22222-2-2-2-2-2-2-2-2000000000000002200000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-22200000000000000-220000000000000022222222-2-2-2-2-2-2-2-222-2-22200000000000000-2200000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000002-20000000000000022222222-2-2-2-2-2-2-2-2-2-22222000000000000002-200000000000000
χ2122-2-22-22-22-20000-220000002i2i−2i−2i2i2i−2i−2i00002-2000000000000000022-2-22-22-22-20000-220000002i2i−2i−2i2i2i−2i−2i00002-20000000000000000
χ2222-2-22-22-22-20000-220000002i2i−2i−2i−2i−2i2i2i0000-22000000000000000022-2-22-22-22-20000-220000002i2i−2i−2i−2i−2i2i2i0000-220000000000000000
χ2322-2-22-22-22-20000-22000000−2i−2i2i2i2i2i−2i−2i0000-22000000000000000022-2-22-22-22-20000-22000000−2i−2i2i2i2i2i−2i−2i0000-220000000000000000
χ2422-2-22-22-22-20000-22000000−2i−2i2i2i−2i−2i2i2i00002-2000000000000000022-2-22-22-22-20000-22000000−2i−2i2i2i−2i−2i2i2i00002-20000000000000000
χ252-2222-2-2-2-220000-220000002i−2i2i−2i000022-2-20000002i−2i00000000002-2222-2-2-2-220000-220000002i−2i2i−2i000022-2-20000002i−2i0000000000
χ262-2222-2-2-2-220000-220000002i−2i2i−2i0000-2-222000000−2i2i00000000002-2222-2-2-2-220000-220000002i−2i2i−2i0000-2-222000000−2i2i0000000000
χ272-2222-2-2-2-220000-22000000−2i2i−2i2i000022-2-2000000−2i2i00000000002-2222-2-2-2-220000-22000000−2i2i−2i2i000022-2-2000000−2i2i0000000000
χ282-2222-2-2-2-220000-22000000−2i2i−2i2i0000-2-2220000002i−2i00000000002-2222-2-2-2-220000-22000000−2i2i−2i2i0000-2-2220000002i−2i0000000000
χ292-22-2-222-20022-2-2002i−2i2i−2i000000i2−i2i2−i2i2−i2i2−i20000000000002−22−2002-22-2-222-20022-2-2002i−2i2i−2i000000i2−i2i2−i2i2−i2i2−i20000000000002−22−200
χ302-22-2-222-20022-2-2002i−2i2i−2i000000−i2i2−i2i2−i2i2−i2i2000000000000−22−22002-22-2-222-20022-2-2002i−2i2i−2i000000−i2i2−i2i2−i2i2−i2i2000000000000−22−2200
χ312-22-2-222-20022-2-200−2i2i−2i2i000000i2−i2i2−i2i2−i2i2−i2000000000000−22−22002-22-2-222-20022-2-200−2i2i−2i2i000000i2−i2i2−i2i2−i2i2−i2000000000000−22−2200
χ322-22-2-222-20022-2-200−2i2i−2i2i000000−i2i2−i2i2−i2i2−i2i20000000000002−22−2002-22-2-222-20022-2-200−2i2i−2i2i000000−i2i2−i2i2−i2i2−i2i20000000000002−22−200
χ332-22-2-222-200-2-222002i−2i−2i2i000000i2−i2i2−i2−i2i2−i2i20000000000002−2−22002-22-2-222-200-2-222002i−2i−2i2i000000i2−i2i2−i2−i2i2−i2i20000000000002−2−2200
χ342-22-2-222-200-2-222002i−2i−2i2i000000−i2i2−i2i2i2−i2i2−i2000000000000−222−2002-22-2-222-200-2-222002i−2i−2i2i000000−i2i2−i2i2i2−i2i2−i2000000000000−222−200
χ352-22-2-222-200-2-22200−2i2i2i−2i000000i2−i2i2−i2−i2i2−i2i2000000000000−222−2002-22-2-222-200-2-22200−2i2i2i−2i000000i2−i2i2−i2−i2i2−i2i2000000000000−222−200
χ362-22-2-222-200-2-22200−2i2i2i−2i000000−i2i2−i2i2i2−i2i2−i20000000000002−2−22002-22-2-222-200-2-22200−2i2i2i−2i000000−i2i2−i2i2i2−i2i2−i20000000000002−2−2200
χ372-2-2-222-22222-22-2-2-200002-2000000000000000000002i−2i2i−2i0000002-2-2-222-22222-22-2-2-200002-2000000000000000000002i−2i2i−2i000000
χ382-2-2-222-22222-22-2-2-200002-200000000000000000000−2i2i−2i2i0000002-2-2-222-22222-22-2-2-200002-200000000000000000000−2i2i−2i2i000000
χ392-2-2-222-2222-22-22-2-20000-22000000000000000000002i−2i−2i2i0000002-2-2-222-2222-22-22-2-20000-22000000000000000000002i−2i−2i2i000000
χ402-2-2-222-2222-22-22-2-20000-2200000000000000000000−2i2i2i−2i0000002-2-2-222-2222-22-22-2-20000-2200000000000000000000−2i2i2i−2i000000
χ412-2-2-222-22-2-22-22-2220000-222-2-220000000000002-20000000000002-2-2-222-22-2-22-22-2220000-222-2-220000000000002-2000000000000
χ422-2-2-222-22-2-22-22-2220000-22-222-2000000000000-220000000000002-2-2-222-22-2-22-22-2220000-22-222-2000000000000-22000000000000
χ432-2-2-222-22-2-2-22-222200002-22-2-22000000000000-220000000000002-2-2-222-22-2-2-22-222200002-22-2-22000000000000-22000000000000
χ442-2-2-222-22-2-2-22-222200002-2-222-20000000000002-20000000000002-2-2-222-22-2-2-22-222200002-2-222-20000000000002-2000000000000
χ45444-4-4-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000444-4-4-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ46444-4-4-4-440000000000000000000000−2i22i22i2−2i2000000000000000000444-4-4-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ4744-44-44-4-4004-4-440000000000000000000000000000000000000044-44-44-4-4004-4-4400000000000000000000000000000000000000
χ4844-44-44-4-400-444-40000000000000000000000000000000000000044-44-44-4-400-444-400000000000000000000000000000000000000
χ4944-4-44-44-4-4400004-400000000000000000000000000000000000044-4-44-44-4-4400004-4000000000000000000000000000000000000
χ504-4444-4-4-44-400004-40000000000000000000000000000000000004-4444-4-4-44-400004-4000000000000000000000000000000000000
χ514-4-44-4-44400000000000000000022−22−222200000000000000000000004-4-44-4-44400000000000000000022−22−22220000000000000000000000
χ524-4-44-4-444000000000000000000−222222−2200000000000000000000004-4-44-4-444000000000000000000−222222−220000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111
χ551111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111111111-1-1
χ571111111111111111-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1
χ591111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ601111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ611111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111111-1-111-1-111-11
χ621111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1111-1-1-1-11111-1-11-1
χ631111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-11-1-1-1-111-1-1-1-1111-1
χ641111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-11111-1-111-1-1-11
χ651111111111-1-1-1-111-1-111-1-111111111-1-1-1-111-11-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11-1111111-1-111-1-11-1
χ661111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-11-1-111-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-1111-111-1-111-1-1-1-111-11
χ671111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-11
χ681111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-11-1-1-111-1-111-1-1111-1
χ6922222222-2-22222-2-22222-2-200000000000000-2-200000000000000-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-222000000000000002200000000000000
χ7022222222-2-22222-2-2-2-2-2-2-2-2000000000000002200000000000000-2-2-2-2-2-2-2-222-2-2-2-22222222200000000000000-2-200000000000000
χ7122222222-2-2-2-2-2-2-2-222-2-22200000000000000-2200000000000000-2-2-2-2-2-2-2-222222222-2-222-2-2000000000000002-200000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-22222000000000000002-200000000000000-2-2-2-2-2-2-2-22222222222-2-2-2-200000000000000-2200000000000000
χ7322-2-22-22-22-20000-220000002i2i−2i−2i2i2i−2i−2i00002-20000000000000000-2-222-22-22-2200002-2000000−2i−2i2i2i−2i−2i2i2i0000-220000000000000000
χ7422-2-22-22-22-20000-220000002i2i−2i−2i−2i−2i2i2i0000-220000000000000000-2-222-22-22-2200002-2000000−2i−2i2i2i2i2i−2i−2i00002-20000000000000000
χ7522-2-22-22-22-20000-22000000−2i−2i2i2i2i2i−2i−2i0000-220000000000000000-2-222-22-22-2200002-20000002i2i−2i−2i−2i−2i2i2i00002-20000000000000000
χ7622-2-22-22-22-20000-22000000−2i−2i2i2i−2i−2i2i2i00002-20000000000000000-2-222-22-22-2200002-20000002i2i−2i−2i2i2i−2i−2i0000-220000000000000000
χ772-2222-2-2-2-220000-220000002i−2i2i−2i000022-2-20000002i−2i0000000000-22-2-2-22222-200002-2000000−2i2i−2i2i0000-2-222000000−2i2i0000000000
χ782-2222-2-2-2-220000-220000002i−2i2i−2i0000-2-222000000−2i2i0000000000-22-2-2-22222-200002-2000000−2i2i−2i2i000022-2-20000002i−2i0000000000
χ792-2222-2-2-2-220000-22000000−2i2i−2i2i000022-2-2000000−2i2i0000000000-22-2-2-22222-200002-20000002i−2i2i−2i0000-2-2220000002i−2i0000000000
χ802-2222-2-2-2-220000-22000000−2i2i−2i2i0000-2-2220000002i−2i0000000000-22-2-2-22222-200002-20000002i−2i2i−2i000022-2-2000000−2i2i0000000000
χ812-22-2-222-20022-2-2002i−2i2i−2i000000i2−i2i2−i2i2−i2i2−i20000000000002−22−200-22-222-2-2200-2-22200−2i2i−2i2i000000−i2i2−i2i2−i2i2−i2i2000000000000−22−2200
χ822-22-2-222-20022-2-2002i−2i2i−2i000000−i2i2−i2i2−i2i2−i2i2000000000000−22−2200-22-222-2-2200-2-22200−2i2i−2i2i000000i2−i2i2−i2i2−i2i2−i20000000000002−22−200
χ832-22-2-222-20022-2-200−2i2i−2i2i000000i2−i2i2−i2i2−i2i2−i2000000000000−22−2200-22-222-2-2200-2-222002i−2i2i−2i000000−i2i2−i2i2−i2i2−i2i20000000000002−22−200
χ842-22-2-222-20022-2-200−2i2i−2i2i000000−i2i2−i2i2−i2i2−i2i20000000000002−22−200-22-222-2-2200-2-222002i−2i2i−2i000000i2−i2i2−i2i2−i2i2−i2000000000000−22−2200
χ852-22-2-222-200-2-222002i−2i−2i2i000000i2−i2i2−i2−i2i2−i2i20000000000002−2−2200-22-222-2-220022-2-200−2i2i2i−2i000000−i2i2−i2i2i2−i2i2−i2000000000000−222−200
χ862-22-2-222-200-2-222002i−2i−2i2i000000−i2i2−i2i2i2−i2i2−i2000000000000−222−200-22-222-2-220022-2-200−2i2i2i−2i000000i2−i2i2−i2−i2i2−i2i20000000000002−2−2200
χ872-22-2-222-200-2-22200−2i2i2i−2i000000i2−i2i2−i2−i2i2−i2i2000000000000−222−200-22-222-2-220022-2-2002i−2i−2i2i000000−i2i2−i2i2i2−i2i2−i20000000000002−2−2200
χ882-22-2-222-200-2-22200−2i2i2i−2i000000−i2i2−i2i2i2−i2i2−i20000000000002−2−2200-22-222-2-220022-2-2002i−2i−2i2i000000i2−i2i2−i2−i2i2−i2i2000000000000−222−200
χ892-2-2-222-22222-22-2-2-200002-2000000000000000000002i−2i2i−2i000000-2222-2-22-2-2-2-22-22220000-2200000000000000000000−2i2i−2i2i000000
χ902-2-2-222-22222-22-2-2-200002-200000000000000000000−2i2i−2i2i000000-2222-2-22-2-2-2-22-22220000-22000000000000000000002i−2i2i−2i000000
χ912-2-2-222-2222-22-22-2-20000-22000000000000000000002i−2i−2i2i000000-2222-2-22-2-2-22-22-22200002-200000000000000000000−2i2i2i−2i000000
χ922-2-2-222-2222-22-22-2-20000-2200000000000000000000−2i2i2i−2i000000-2222-2-22-2-2-22-22-22200002-2000000000000000000002i−2i−2i2i000000
χ932-2-2-222-22-2-22-22-2220000-222-2-220000000000002-2000000000000-2222-2-22-222-22-22-2-200002-2-222-2000000000000-22000000000000
χ942-2-2-222-22-2-22-22-2220000-22-222-2000000000000-22000000000000-2222-2-22-222-22-22-2-200002-22-2-220000000000002-2000000000000
χ952-2-2-222-22-2-2-22-222200002-22-2-22000000000000-22000000000000-2222-2-22-2222-22-2-2-20000-22-222-20000000000002-2000000000000
χ962-2-2-222-22-2-2-22-222200002-2-222-20000000000002-2000000000000-2222-2-22-2222-22-2-2-20000-222-2-22000000000000-22000000000000
χ97444-4-4-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000-4-4-44444-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ98444-4-4-4-440000000000000000000000−2i22i22i2−2i2000000000000000000-4-4-44444-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ9944-44-44-4-4004-4-4400000000000000000000000000000000000000-4-44-44-44400-444-400000000000000000000000000000000000000
χ10044-44-44-4-400-444-400000000000000000000000000000000000000-4-44-44-444004-4-4400000000000000000000000000000000000000
χ10144-4-44-44-4-4400004-4000000000000000000000000000000000000-4-444-44-444-40000-44000000000000000000000000000000000000
χ1024-4444-4-4-44-400004-4000000000000000000000000000000000000-44-4-4-4444-440000-44000000000000000000000000000000000000
χ1034-4-44-4-44400000000000000000022−22−22220000000000000000000000-444-444-4-4000000000000000000−222222−220000000000000000000000
χ1044-4-44-4-444000000000000000000−222222−220000000000000000000000-444-444-4-400000000000000000022−22−22220000000000000000000000

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