Finite Group Databasebeta

← Group #6629024

Character table — Group #6629024

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222222222222222244444444444444444444441616161616161616111122222222222222222244444444444444444444441616161616161616
order12222222444444888888882222244444888888888888244488882222222244444488888888222224444488888888888824448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ9111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11-11-11-11-1111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11-11-11-11-1
χ10111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-11-11-11-11111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-11-11-11-11
χ11111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111-11-1-11-11111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111-11-1-11-11
χ12111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-11-111-11-1111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-11-111-11-1
χ13111111-1-11-1-1111-1-1-1-11111-111-1-1-111-1-1-1-111-1-1-1-111111-1-111-1-11111111-1-11-1-1111-1-1-1-11111-111-1-1-111-1-1-1-111-1-1-1-111111-1-111-1-11
χ14111111-1-11-1-1111-1-1-1-11111-111-1-1-111-1-1-1-111-1-1-1-11111-111-1-111-1111111-1-11-1-1111-1-1-1-11111-111-1-1-111-1-1-1-111-1-1-1-11111-111-1-111-1
χ15111111-1-11-1-1111-1-1-1-11111-1-1-111-1-1-111-1-1111111-1-1-1-11-1-11-111-1111111-1-11-1-1111-1-1-1-11111-1-1-111-1-1-111-1-1111111-1-1-1-11-1-11-111-1
χ16111111-1-11-1-1111-1-1-1-11111-1-1-111-1-1-111-1-1111111-1-1-1-1-111-11-1-11111111-1-11-1-1111-1-1-1-11111-1-1-111-1-1-111-1-1111111-1-1-1-1-111-11-1-11
χ1722222222-2-2-2-2-2-20000000020000-2000000002i2i−2i−2i2i2i−2i−2i0000000022222222-2-2-2-2-2-20000000020000-2000000002i2i−2i−2i2i2i−2i−2i00000000
χ1822222222-2-2-2-2-2-20000000020000-200000000−2i−2i2i2i−2i−2i2i2i0000000022222222-2-2-2-2-2-20000000020000-200000000−2i−2i2i2i−2i−2i2i2i00000000
χ19222222-2-2-222-2-2-200000000-200002000000002i2i−2i−2i−2i−2i2i2i00000000222222-2-2-222-2-2-200000000-200002000000002i2i−2i−2i−2i−2i2i2i00000000
χ20222222-2-2-222-2-2-200000000-20000200000000−2i−2i2i2i2i2i−2i−2i00000000222222-2-2-222-2-2-200000000-20000200000000−2i−2i2i2i2i2i−2i−2i00000000
χ212222-2-222222-2-2222222222-20000-20000-2-2-2-200000000000000002222-2-222222-2-2222222222-20000-20000-2-2-2-20000000000000000
χ222222-2-222222-2-22-2-2-2-2-2-2-2-2-20000-20000222200000000000000002222-2-222222-2-22-2-2-2-2-2-2-2-2-20000-2000022220000000000000000
χ232222-2-222-2-2-222-200000000-222222-2-2-2-2000000000000000000002222-2-222-2-2-222-200000000-222222-2-2-2-200000000000000000000
χ242222-2-222-2-2-222-200000000-2-2-2-2-222222000000000000000000002222-2-222-2-2-222-200000000-2-2-2-2-22222200000000000000000000
χ252222-2-2-2-22-2-2-2-222222-2-2-2-22000020000-2-22200000000000000002222-2-2-2-22-2-2-2-222222-2-2-2-22000020000-2-2220000000000000000
χ262222-2-2-2-22-2-2-2-22-2-2-2-22222200002000022-2-200000000000000002222-2-2-2-22-2-2-2-22-2-2-2-22222200002000022-2-20000000000000000
χ272222-2-2-2-2-22222-200000000222-2-2-2-2-222000000000000000000002222-2-2-2-2-22222-200000000222-2-2-2-2-22200000000000000000000
χ282222-2-2-2-2-22222-2000000002-2-222-222-2-2000000000000000000002222-2-2-2-2-22222-2000000002-2-222-222-2-200000000000000000000
χ292-2-222-2002002-2-22i2i−2i−2i00000002-20002-22i−2i0000002i−2i2i−2i000000002-2-222-2002002-2-22i2i−2i−2i00000002-20002-22i−2i0000002i−2i2i−2i00000000
χ302-2-222-2002002-2-22i2i−2i−2i0000000-22000-222i−2i000000−2i2i−2i2i000000002-2-222-2002002-2-22i2i−2i−2i0000000-22000-222i−2i000000−2i2i−2i2i00000000
χ312-2-222-2002002-2-2−2i−2i2i2i00000002-20002-2−2i2i000000−2i2i−2i2i000000002-2-222-2002002-2-2−2i−2i2i2i00000002-20002-2−2i2i000000−2i2i−2i2i00000000
χ322-2-222-2002002-2-2−2i−2i2i2i0000000-22000-22−2i2i0000002i−2i2i−2i000000002-2-222-2002002-2-2−2i−2i2i2i0000000-22000-22−2i2i0000002i−2i2i−2i00000000
χ332-2-222-200-200-222000022-2-202-20002-200002-200002-2-22000000002-2-222-200-200-222000022-2-202-20002-200002-200002-2-2200000000
χ342-2-222-200-200-222000022-2-20-22000-2200002-20000-222-2000000002-2-222-200-200-222000022-2-20-22000-2200002-20000-222-200000000
χ352-2-222-200-200-2220000-2-22202-20002-20000-220000-222-2000000002-2-222-200-200-2220000-2-22202-20002-20000-220000-222-200000000
χ362-2-222-200-200-2220000-2-2220-22000-220000-2200002-2-22000000002-2-222-200-200-2220000-2-2220-22000-220000-2200002-2-2200000000
χ372-2-22-2200200-22-22i2i−2i−2i000002-2000-2200−2i2i002i−2i2i−2i0000000000002-2-22-2200200-22-22i2i−2i−2i000002-2000-2200−2i2i002i−2i2i−2i000000000000
χ382-2-22-2200200-22-22i2i−2i−2i00000-220002-200−2i2i00−2i2i−2i2i0000000000002-2-22-2200200-22-22i2i−2i−2i00000-220002-200−2i2i00−2i2i−2i2i000000000000
χ392-2-22-2200200-22-2−2i−2i2i2i000002-2000-22002i−2i00−2i2i−2i2i0000000000002-2-22-2200200-22-2−2i−2i2i2i000002-2000-22002i−2i00−2i2i−2i2i000000000000
χ402-2-22-2200200-22-2−2i−2i2i2i00000-220002-2002i−2i002i−2i2i−2i0000000000002-2-22-2200200-22-2−2i−2i2i2i00000-220002-2002i−2i002i−2i2i−2i000000000000
χ412-2-22-2200-2002-22000022-2-20002-2000-2200-222-2-220000000000002-2-22-2200-2002-22000022-2-20002-2000-2200-222-2-22000000000000
χ422-2-22-2200-2002-22000022-2-2000-220002-200-22-222-20000000000002-2-22-2200-2002-22000022-2-2000-220002-200-22-222-2000000000000
χ432-2-22-2200-2002-220000-2-2220002-2000-22002-2-222-20000000000002-2-22-2200-2002-220000-2-2220002-2000-22002-2-222-2000000000000
χ442-2-22-2200-2002-220000-2-222000-220002-2002-22-2-220000000000002-2-22-2200-2002-220000-2-222000-220002-2002-22-2-22000000000000
χ4544-4-4000004i−4i00022−2222−222i2−2i22i2−2i200000000000000000000000000000044-4-4000004i−4i00022−2222−222i2−2i22i2−2i2000000000000000000000000000000
χ4644-4-4000004i−4i000−2222−2222−2i22i2−2i22i200000000000000000000000000000044-4-4000004i−4i000−2222−2222−2i22i2−2i22i2000000000000000000000000000000
χ4744-4-400000−4i4i00022−2222−22−2i22i2−2i22i200000000000000000000000000000044-4-400000−4i4i00022−2222−22−2i22i2−2i22i2000000000000000000000000000000
χ4844-4-400000−4i4i000−2222−22222i2−2i22i2−2i200000000000000000000000000000044-4-400000−4i4i000−2222−22222i2−2i22i2−2i2000000000000000000000000000000
χ494-44-4004-40000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000004-44-4004-40000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ504-44-4004-4000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000004-44-4004-4000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ514-44-400-440000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000004-44-400-440000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ524-44-400-44000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000004-44-400-44000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
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
χ5411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5511111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-111111111-1-1-1-11111
χ5611111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1-1-1111111111111-1-1-1-1
χ5711111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111
χ5811111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1
χ5911111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6011111111111111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-11-11-11-11-1-1-1-1-1-1-111-111-1-1-1-1-1-1-111111-1-1111-1-111-1-111-1-1-1-11111-11-11-11-11
χ62111111-1-11-1-11111111-1-1-1-1-111-1-1-111-1-111-1-11111-1-1-1-1-11-11-11-11-1-1-1-1-1-111-111-1-1-1-1-1-1-111111-1-1111-1-111-1-111-1-1-1-111111-11-11-11-1
χ63111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-111111-11-1-11-11-1-1-1-1-1-111-111-1-1-1-1-1-1-11111111-1-1111-1-1-1-1111111-1-1-1-1-11-111-11-1
χ64111111-1-11-1-11111111-1-1-1-1-1-1-111-1-1-11111-1-1-1-1-1-11111-11-111-11-1-1-1-1-1-1-111-111-1-1-1-1-1-1-11111111-1-1111-1-1-1-1111111-1-1-1-11-11-1-11-11
χ65111111-1-11-1-1111-1-1-1-11111-111-1-1-111-1-1-1-111-1-1-1-111111-1-111-1-11-1-1-1-1-1-111-111-1-1-11111-1-1-1-11-1-1111-1-11111-1-11111-1-1-1-1-111-1-111-1
χ66111111-1-11-1-1111-1-1-1-11111-111-1-1-111-1-1-1-111-1-1-1-11111-111-1-111-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-11-1-1111-1-11111-1-11111-1-1-1-11-1-111-1-11
χ67111111-1-11-1-1111-1-1-1-11111-1-1-111-1-1-111-1-1111111-1-1-1-11-1-11-111-1-1-1-1-1-1-111-111-1-1-11111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-11111-111-11-1-11
χ68111111-1-11-1-1111-1-1-1-11111-1-1-111-1-1-111-1-1111111-1-1-1-1-111-11-1-11-1-1-1-1-1-111-111-1-1-11111-1-1-1-1111-1-1111-1-111-1-1-1-1-1-111111-1-11-111-1
χ6922222222-2-2-2-2-2-20000000020000-2000000002i2i−2i−2i2i2i−2i−2i00000000-2-2-2-2-2-2-2-222222200000000-20000200000000−2i−2i2i2i−2i−2i2i2i00000000
χ7022222222-2-2-2-2-2-20000000020000-200000000−2i−2i2i2i−2i−2i2i2i00000000-2-2-2-2-2-2-2-222222200000000-200002000000002i2i−2i−2i2i2i−2i−2i00000000
χ71222222-2-2-222-2-2-200000000-200002000000002i2i−2i−2i−2i−2i2i2i00000000-2-2-2-2-2-2222-2-22220000000020000-200000000−2i−2i2i2i2i2i−2i−2i00000000
χ72222222-2-2-222-2-2-200000000-20000200000000−2i−2i2i2i2i2i−2i−2i00000000-2-2-2-2-2-2222-2-22220000000020000-2000000002i2i−2i−2i−2i−2i2i2i00000000
χ732222-2-222222-2-2222222222-20000-20000-2-2-2-20000000000000000-2-2-2-222-2-2-2-2-222-2-2-2-2-2-2-2-2-2200002000022220000000000000000
χ742222-2-222222-2-22-2-2-2-2-2-2-2-2-20000-2000022220000000000000000-2-2-2-222-2-2-2-2-222-2222222222000020000-2-2-2-20000000000000000
χ752222-2-222-2-2-222-200000000-222222-2-2-2-200000000000000000000-2-2-2-222-2-2222-2-22000000002-2-2-2-2-2222200000000000000000000
χ762222-2-222-2-2-222-200000000-2-2-2-2-22222200000000000000000000-2-2-2-222-2-2222-2-220000000022222-2-2-2-2-200000000000000000000
χ772222-2-2-2-22-2-2-2-222222-2-2-2-22000020000-2-2220000000000000000-2-2-2-22222-22222-2-2-2-2-22222-20000-2000022-2-20000000000000000
χ782222-2-2-2-22-2-2-2-22-2-2-2-22222200002000022-2-20000000000000000-2-2-2-22222-22222-22222-2-2-2-2-20000-20000-2-2220000000000000000
χ792222-2-2-2-2-22222-200000000222-2-2-2-2-22200000000000000000000-2-2-2-222222-2-2-2-2200000000-2-2-222222-2-200000000000000000000
χ802222-2-2-2-2-22222-2000000002-2-222-222-2-200000000000000000000-2-2-2-222222-2-2-2-2200000000-222-2-22-2-22200000000000000000000
χ812-2-222-2002002-2-22i2i−2i−2i00000002-20002-22i−2i0000002i−2i2i−2i00000000-222-2-2200-200-222−2i−2i2i2i0000000-22000-22−2i2i000000−2i2i−2i2i00000000
χ822-2-222-2002002-2-22i2i−2i−2i0000000-22000-222i−2i000000−2i2i−2i2i00000000-222-2-2200-200-222−2i−2i2i2i00000002-20002-2−2i2i0000002i−2i2i−2i00000000
χ832-2-222-2002002-2-2−2i−2i2i2i00000002-20002-2−2i2i000000−2i2i−2i2i00000000-222-2-2200-200-2222i2i−2i−2i0000000-22000-222i−2i0000002i−2i2i−2i00000000
χ842-2-222-2002002-2-2−2i−2i2i2i0000000-22000-22−2i2i0000002i−2i2i−2i00000000-222-2-2200-200-2222i2i−2i−2i00000002-20002-22i−2i000000−2i2i−2i2i00000000
χ852-2-222-200-200-222000022-2-202-20002-200002-200002-2-2200000000-222-2-22002002-2-20000-2-2220-22000-220000-220000-222-200000000
χ862-2-222-200-200-222000022-2-20-22000-2200002-20000-222-200000000-222-2-22002002-2-20000-2-22202-20002-20000-2200002-2-2200000000
χ872-2-222-200-200-2220000-2-22202-20002-20000-220000-222-200000000-222-2-22002002-2-2000022-2-20-22000-2200002-200002-2-2200000000
χ882-2-222-200-200-2220000-2-2220-22000-220000-2200002-2-2200000000-222-2-22002002-2-2000022-2-202-20002-200002-20000-222-200000000
χ892-2-22-2200200-22-22i2i−2i−2i000002-2000-2200−2i2i002i−2i2i−2i000000000000-222-22-200-2002-22−2i−2i2i2i00000-220002-2002i−2i00−2i2i−2i2i000000000000
χ902-2-22-2200200-22-22i2i−2i−2i00000-220002-200−2i2i00−2i2i−2i2i000000000000-222-22-200-2002-22−2i−2i2i2i000002-2000-22002i−2i002i−2i2i−2i000000000000
χ912-2-22-2200200-22-2−2i−2i2i2i000002-2000-22002i−2i00−2i2i−2i2i000000000000-222-22-200-2002-222i2i−2i−2i00000-220002-200−2i2i002i−2i2i−2i000000000000
χ922-2-22-2200200-22-2−2i−2i2i2i00000-220002-2002i−2i002i−2i2i−2i000000000000-222-22-200-2002-222i2i−2i−2i000002-2000-2200−2i2i00−2i2i−2i2i000000000000
χ932-2-22-2200-2002-22000022-2-20002-2000-2200-222-2-22000000000000-222-22-200200-22-20000-2-222000-220002-2002-2-222-2000000000000
χ942-2-22-2200-2002-22000022-2-2000-220002-200-22-222-2000000000000-222-22-200200-22-20000-2-2220002-2000-22002-22-2-22000000000000
χ952-2-22-2200-2002-220000-2-2220002-2000-22002-2-222-2000000000000-222-22-200200-22-2000022-2-2000-220002-200-222-2-22000000000000
χ962-2-22-2200-2002-220000-2-222000-220002-2002-22-2-22000000000000-222-22-200200-22-2000022-2-20002-2000-2200-22-222-2000000000000
χ9744-4-4000004i−4i00022−2222−222i2−2i22i2−2i2000000000000000000000000000000-4-44400000−4i4i000−2222−2222−2i22i2−2i22i2000000000000000000000000000000
χ9844-4-4000004i−4i000−2222−2222−2i22i2−2i22i2000000000000000000000000000000-4-44400000−4i4i00022−2222−222i2−2i22i2−2i2000000000000000000000000000000
χ9944-4-400000−4i4i00022−2222−22−2i22i2−2i22i2000000000000000000000000000000-4-444000004i−4i000−2222−22222i2−2i22i2−2i2000000000000000000000000000000
χ10044-4-400000−4i4i000−2222−22222i2−2i22i2−2i2000000000000000000000000000000-4-444000004i−4i00022−2222−22−2i22i2−2i22i2000000000000000000000000000000
χ1014-44-4004-40000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000-44-4400-44000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ1024-44-4004-4000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000-44-4400-440000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ1034-44-400-440000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000-44-44004-4000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000
χ1044-44-400-44000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000-44-44004-40000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000

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