Finite Group Databasebeta

← Group #6445827

Character table — Group #6445827

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888884444444444448888442222222244444444444444444488888888444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-111111111111111-1-1-1-1-1-11-1-11-1-11111-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-11-1-11-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-111
χ71111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111-111-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111-111-1-1-1-111
χ81111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111111-1-1
χ9111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-111-11111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-111-11
χ10111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-11-1111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-11-1
χ11111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-111-1-11-1111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-111-1-11-1
χ12111111111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-1-111-11111111111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-1-111-11
χ13111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1-1111-1111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1-1111-1
χ14111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-111-1-1-11111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-111-1-1-11
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-111111-1-1-11111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-111111-1-1-11
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1111-1111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1111-1
χ1722222222-22222-2-2-2000022-2-22200000000000000-200-20000000022222222-22222-2-2-2000022-2-22200000000000000-200-200000000
χ1822222222-22222-2-2-20000-2-2-2-2-2-20000000000000020020000000022222222-22222-2-2-20000-2-2-2-2-2-200000000000000200200000000
χ1922222222-2-2-2-2-2-2-2-200002222-2-200000000000000-20020000000022222222-2-2-2-2-2-2-2-200002222-2-200000000000000-200200000000
χ2022222222-2-2-2-2-2-2-2-20000-2-2222200000000000000200-20000000022222222-2-2-2-2-2-2-2-20000-2-2222200000000000000200-200000000
χ212222-2-2-2-2200002-2-222-2-200000022-2-20000002-2000000000000002222-2-2-2-2200002-2-222-2-200000022-2-20000002-200000000000000
χ222222-2-2-2-2200002-2-222-2-2000000-2-222000000-22000000000000002222-2-2-2-2200002-2-222-2-2000000-2-222000000-2200000000000000
χ232222-2-2-2-2200002-2-2-2-22200000022-2-2000000-22000000000000002222-2-2-2-2200002-2-2-2-22200000022-2-2000000-2200000000000000
χ242222-2-2-2-2200002-2-2-2-222000000-2-2220000002-2000000000000002222-2-2-2-2200002-2-2-2-222000000-2-2220000002-200000000000000
χ2522-2-2-2-222022-2-200000002i−2i002i−2i2−22−222−2−2000000000000i2−i2i2−i20022-2-2-2-222022-2-200000002i−2i002i−2i2−22−222−2−2000000000000i2−i2i2−i200
χ2622-2-2-2-222022-2-200000002i−2i002i−2i−22−22−2−222000000000000−i2i2−i2i20022-2-2-2-222022-2-200000002i−2i002i−2i−22−22−2−222000000000000−i2i2−i2i200
χ2722-2-2-2-222022-2-20000000−2i2i00−2i2i2−22−222−2−2000000000000−i2i2−i2i20022-2-2-2-222022-2-20000000−2i2i00−2i2i2−22−222−2−2000000000000−i2i2−i2i200
χ2822-2-2-2-222022-2-20000000−2i2i00−2i2i−22−22−2−222000000000000i2−i2i2−i20022-2-2-2-222022-2-20000000−2i2i00−2i2i−22−22−2−222000000000000i2−i2i2−i200
χ2922-2-2-2-2220-2-22200000002i−2i00−2i2i2−22−2−2−222000000000000−i2i2i2−i20022-2-2-2-2220-2-22200000002i−2i00−2i2i2−22−2−2−222000000000000−i2i2i2−i200
χ3022-2-2-2-2220-2-22200000002i−2i00−2i2i−22−2222−2−2000000000000i2−i2−i2i20022-2-2-2-2220-2-22200000002i−2i00−2i2i−22−2222−2−2000000000000i2−i2−i2i200
χ3122-2-2-2-2220-2-2220000000−2i2i002i−2i2−22−2−2−222000000000000i2−i2−i2i20022-2-2-2-2220-2-2220000000−2i2i002i−2i2−22−2−2−222000000000000i2−i2−i2i200
χ3222-2-2-2-2220-2-2220000000−2i2i002i−2i−22−2222−2−2000000000000−i2i2i2−i20022-2-2-2-2220-2-2220000000−2i2i002i−2i−22−2222−2−2000000000000−i2i2i2−i200
χ332-2-222-22-222i−2i2i−2i-2-222i−2i2i−2i002i−2i00000000002-200000000000000002-2-222-22-222i−2i2i−2i-2-222i−2i2i−2i002i−2i00000000002-20000000000000000
χ342-2-222-22-222i−2i2i−2i-2-22−2i2i−2i2i002i−2i0000000000-2200000000000000002-2-222-22-222i−2i2i−2i-2-22−2i2i−2i2i002i−2i0000000000-220000000000000000
χ352-2-222-22-22−2i2i−2i2i-2-222i−2i2i−2i00−2i2i0000000000-2200000000000000002-2-222-22-22−2i2i−2i2i-2-222i−2i2i−2i00−2i2i0000000000-220000000000000000
χ362-2-222-22-22−2i2i−2i2i-2-22−2i2i−2i2i00−2i2i00000000002-200000000000000002-2-222-22-22−2i2i−2i2i-2-22−2i2i−2i2i00−2i2i00000000002-20000000000000000
χ372-2-222-22-2-22i−2i2i−2i22-2000000−2i2i000000000000000002-202i−2i0000002-2-222-22-2-22i−2i2i−2i22-2000000−2i2i000000000000000002-202i−2i000000
χ382-2-222-22-2-22i−2i2i−2i22-2000000−2i2i00000000000000000-220−2i2i0000002-2-222-22-2-22i−2i2i−2i22-2000000−2i2i00000000000000000-220−2i2i000000
χ392-2-222-22-2-2−2i2i−2i2i22-20000002i−2i000000000000000002-20−2i2i0000002-2-222-22-2-2−2i2i−2i2i22-20000002i−2i000000000000000002-20−2i2i000000
χ402-2-222-22-2-2−2i2i−2i2i22-20000002i−2i00000000000000000-2202i−2i0000002-2-222-22-2-2−2i2i−2i2i22-20000002i−2i00000000000000000-2202i−2i000000
χ412-2-22-22-2220000-22-22i−2i−2i2i00000000002i−2i2i−2i00002-20000000000002-2-22-22-2220000-22-22i−2i−2i2i00000000002i−2i2i−2i00002-2000000000000
χ422-2-22-22-2220000-22-22i−2i−2i2i0000000000−2i2i−2i2i0000-220000000000002-2-22-22-2220000-22-22i−2i−2i2i0000000000−2i2i−2i2i0000-22000000000000
χ432-2-22-22-2220000-22-2−2i2i2i−2i00000000002i−2i2i−2i0000-220000000000002-2-22-22-2220000-22-2−2i2i2i−2i00000000002i−2i2i−2i0000-22000000000000
χ442-2-22-22-2220000-22-2−2i2i2i−2i0000000000−2i2i−2i2i00002-20000000000002-2-22-22-2220000-22-2−2i2i2i−2i0000000000−2i2i−2i2i00002-2000000000000
χ454444-4-4-4-4-40000-4440000000000000000000000000000000000004444-4-4-4-4-40000-444000000000000000000000000000000000000
χ4644-4-444-4-400000000000000000022−22−2222000000000000000000000044-4-444-4-400000000000000000022−22−22220000000000000000000000
χ4744-4-444-4-4000000000000000000−222222−22000000000000000000000044-4-444-4-4000000000000000000−222222−220000000000000000000000
χ484-44-44-4-4400000000000000000000002i2−2i2−2i22i20000000000000000004-44-44-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ494-44-44-4-440000000000000000000000−2i22i22i2−2i20000000000000000004-44-44-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ504-44-4-444-404i−4i−4i4i0000000000000000000000000000000000000004-44-4-444-404i−4i−4i4i000000000000000000000000000000000000000
χ514-44-4-444-40−4i4i4i−4i0000000000000000000000000000000000000004-44-4-444-40−4i4i4i−4i000000000000000000000000000000000000000
χ524-4-44-44-44-400004-440000000000000000000000000000000000004-4-44-44-44-400004-44000000000000000000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111
χ5511111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-11111111111-1-1-1-1-1-1
χ571111111111111111-1-1-1-111111111111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-1-1-111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-111-1111111-1-1
χ591111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111-1-11-1-11111-1-1
χ601111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-11-1-11-1-1-1-1-1-111
χ61111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-111-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1111-1-111-1-11-1
χ62111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1111-1-1-1-111-11
χ63111111111-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111-1-1-111-1-111-11
χ64111111111-1-1-1-11111111-1-1-1-111-1-1-1-11111-1-1-1-111-1111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1-1-11111-1-11-1
χ65111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-1-111111-1-1-11
χ66111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111-1-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-1-1111-1-1111-1
χ67111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-111111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1-1-11111-1-111-1-1111-1-1-1-1-1111-1
χ68111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-11
χ6922222222-22222-2-2-2000022-2-22200000000000000-200-200000000-2-2-2-2-2-2-2-22-2-2-2-22220000-2-222-2-200000000000000200200000000
χ7022222222-22222-2-2-20000-2-2-2-2-2-200000000000000200200000000-2-2-2-2-2-2-2-22-2-2-2-2222000022222200000000000000-200-200000000
χ7122222222-2-2-2-2-2-2-2-200002222-2-200000000000000-200200000000-2-2-2-2-2-2-2-2222222220000-2-2-2-22200000000000000200-200000000
χ7222222222-2-2-2-2-2-2-2-20000-2-2222200000000000000200-200000000-2-2-2-2-2-2-2-222222222000022-2-2-2-200000000000000-200200000000
χ732222-2-2-2-2200002-2-222-2-200000022-2-20000002-200000000000000-2-2-2-22222-20000-222-2-222000000-2-222000000-2200000000000000
χ742222-2-2-2-2200002-2-222-2-2000000-2-222000000-2200000000000000-2-2-2-22222-20000-222-2-22200000022-2-20000002-200000000000000
χ752222-2-2-2-2200002-2-2-2-22200000022-2-2000000-2200000000000000-2-2-2-22222-20000-22222-2-2000000-2-2220000002-200000000000000
χ762222-2-2-2-2200002-2-2-2-222000000-2-2220000002-200000000000000-2-2-2-22222-20000-22222-2-200000022-2-2000000-2200000000000000
χ7722-2-2-2-222022-2-200000002i−2i002i−2i2−22−222−2−2000000000000i2−i2i2−i200-2-22222-2-20-2-2220000000−2i2i00−2i2i−22−22−2−222000000000000−i2i2−i2i200
χ7822-2-2-2-222022-2-200000002i−2i002i−2i−22−22−2−222000000000000−i2i2−i2i200-2-22222-2-20-2-2220000000−2i2i00−2i2i2−22−222−2−2000000000000i2−i2i2−i200
χ7922-2-2-2-222022-2-20000000−2i2i00−2i2i2−22−222−2−2000000000000−i2i2−i2i200-2-22222-2-20-2-22200000002i−2i002i−2i−22−22−2−222000000000000i2−i2i2−i200
χ8022-2-2-2-222022-2-20000000−2i2i00−2i2i−22−22−2−222000000000000i2−i2i2−i200-2-22222-2-20-2-22200000002i−2i002i−2i2−22−222−2−2000000000000−i2i2−i2i200
χ8122-2-2-2-2220-2-22200000002i−2i00−2i2i2−22−2−2−222000000000000−i2i2i2−i200-2-22222-2-2022-2-20000000−2i2i002i−2i−22−2222−2−2000000000000i2−i2−i2i200
χ8222-2-2-2-2220-2-22200000002i−2i00−2i2i−22−2222−2−2000000000000i2−i2−i2i200-2-22222-2-2022-2-20000000−2i2i002i−2i2−22−2−2−222000000000000−i2i2i2−i200
χ8322-2-2-2-2220-2-2220000000−2i2i002i−2i2−22−2−2−222000000000000i2−i2−i2i200-2-22222-2-2022-2-200000002i−2i00−2i2i−22−2222−2−2000000000000−i2i2i2−i200
χ8422-2-2-2-2220-2-2220000000−2i2i002i−2i−22−2222−2−2000000000000−i2i2i2−i200-2-22222-2-2022-2-200000002i−2i00−2i2i2−22−2−2−222000000000000i2−i2−i2i200
χ852-2-222-22-222i−2i2i−2i-2-222i−2i2i−2i002i−2i00000000002-20000000000000000-222-2-22-22-2−2i2i−2i2i22-2−2i2i−2i2i00−2i2i0000000000-220000000000000000
χ862-2-222-22-222i−2i2i−2i-2-22−2i2i−2i2i002i−2i0000000000-220000000000000000-222-2-22-22-2−2i2i−2i2i22-22i−2i2i−2i00−2i2i00000000002-20000000000000000
χ872-2-222-22-22−2i2i−2i2i-2-222i−2i2i−2i00−2i2i0000000000-220000000000000000-222-2-22-22-22i−2i2i−2i22-2−2i2i−2i2i002i−2i00000000002-20000000000000000
χ882-2-222-22-22−2i2i−2i2i-2-22−2i2i−2i2i00−2i2i00000000002-20000000000000000-222-2-22-22-22i−2i2i−2i22-22i−2i2i−2i002i−2i0000000000-220000000000000000
χ892-2-222-22-2-22i−2i2i−2i22-2000000−2i2i000000000000000002-202i−2i000000-222-2-22-222−2i2i−2i2i-2-220000002i−2i00000000000000000-220−2i2i000000
χ902-2-222-22-2-22i−2i2i−2i22-2000000−2i2i00000000000000000-220−2i2i000000-222-2-22-222−2i2i−2i2i-2-220000002i−2i000000000000000002-202i−2i000000
χ912-2-222-22-2-2−2i2i−2i2i22-20000002i−2i000000000000000002-20−2i2i000000-222-2-22-2222i−2i2i−2i-2-22000000−2i2i00000000000000000-2202i−2i000000
χ922-2-222-22-2-2−2i2i−2i2i22-20000002i−2i00000000000000000-2202i−2i000000-222-2-22-2222i−2i2i−2i-2-22000000−2i2i000000000000000002-20−2i2i000000
χ932-2-22-22-2220000-22-22i−2i−2i2i00000000002i−2i2i−2i00002-2000000000000-222-22-22-2-200002-22−2i2i2i−2i0000000000−2i2i−2i2i0000-22000000000000
χ942-2-22-22-2220000-22-22i−2i−2i2i0000000000−2i2i−2i2i0000-22000000000000-222-22-22-2-200002-22−2i2i2i−2i00000000002i−2i2i−2i00002-2000000000000
χ952-2-22-22-2220000-22-2−2i2i2i−2i00000000002i−2i2i−2i0000-22000000000000-222-22-22-2-200002-222i−2i−2i2i0000000000−2i2i−2i2i00002-2000000000000
χ962-2-22-22-2220000-22-2−2i2i2i−2i0000000000−2i2i−2i2i00002-2000000000000-222-22-22-2-200002-222i−2i−2i2i00000000002i−2i2i−2i0000-22000000000000
χ974444-4-4-4-4-40000-444000000000000000000000000000000000000-4-4-4-44444400004-4-4000000000000000000000000000000000000
χ9844-4-444-4-400000000000000000022−22−22220000000000000000000000-4-444-4-444000000000000000000−222222−220000000000000000000000
χ9944-4-444-4-4000000000000000000−222222−220000000000000000000000-4-444-4-44400000000000000000022−22−22220000000000000000000000
χ1004-44-44-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000-44-44-444-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ1014-44-44-4-440000000000000000000000−2i22i22i2−2i2000000000000000000-44-44-444-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ1024-44-4-444-404i−4i−4i4i000000000000000000000000000000000000000-44-444-4-440−4i4i4i−4i000000000000000000000000000000000000000
χ1034-44-4-444-40−4i4i4i−4i000000000000000000000000000000000000000-44-444-4-4404i−4i−4i4i000000000000000000000000000000000000000
χ1044-4-44-44-44-400004-44000000000000000000000000000000000000-444-44-44-440000-44-4000000000000000000000000000000000000

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