Finite Group Databasebeta

← Group #6446813

Character table — Group #6446813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882224444444448888442222222244444444444444444488888888222444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111-1-11111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-111
χ5111111111111111111-1-1-1-1111111111111-1-1-11111-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-11111-1-1-111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1
χ9111111111-1-1-1-1111-1-111-1-111111111-1-1-1-11-1-1-1-1-1-1-11111-1-111-11111111111-1-1-1-1111-1-111-1-111111111-1-1-1-11-1-1-1-1-1-1-11111-1-111-11
χ10111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-1-1-111-111-1-111-1-11-1111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-1-1-111-111-1-111-1-11-1
χ11111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1111-1111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1111-1
χ12111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-11111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-11
χ13111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-111-1-1-1-11-1-11111-1-11-1111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-111-1-1-1-11-1-11111-1-11-1
χ14111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-111-1-1111-1-1-1-1-1-111-11111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-111-1-1111-1-1-1-1-1-111-11
χ15111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-11111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-11
χ16111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-111111-1-1111-1111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-111111-1-1111-1
χ1722222222-22222-2-2-2-2-22222000000000000-2000000-2000000000022222222-22222-2-2-2-2-22222000000000000-2000000-20000000000
χ1822222222-22222-2-2-2-2-2-2-2-2-200000000000020000002000000000022222222-22222-2-2-2-2-2-2-2-2-2000000000000200000020000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-2000000000000-20000002000000000022222222-2-2-2-2-2-2-2-22222-2-2000000000000-200000020000000000
χ2022222222-2-2-2-2-2-2-2-222-2-2220000000000002000000-2000000000022222222-2-2-2-2-2-2-2-222-2-2220000000000002000000-20000000000
χ21222-22-2-2-2-200002-220000002i2i−2i−2i22-2-2000000000000002i−2i000000222-22-2-2-2-200002-220000002i2i−2i−2i22-2-2000000000000002i−2i000000
χ22222-22-2-2-2-200002-220000002i2i−2i−2i-2-22200000000000000−2i2i000000222-22-2-2-2-200002-220000002i2i−2i−2i-2-22200000000000000−2i2i000000
χ23222-22-2-2-2-200002-22000000−2i−2i2i2i22-2-200000000000000−2i2i000000222-22-2-2-2-200002-22000000−2i−2i2i2i22-2-200000000000000−2i2i000000
χ24222-22-2-2-2-200002-22000000−2i−2i2i2i-2-222000000000000002i−2i000000222-22-2-2-2-200002-22000000−2i−2i2i2i-2-222000000000000002i−2i000000
χ2522-2-2-222-202i2i−2i−2i000002i−2i2-20000i2−i2i2−i222−2−2000000000000i2−i22−20022-2-2-222-202i2i−2i−2i000002i−2i2-20000i2−i2i2−i222−2−2000000000000i2−i22−200
χ2622-2-2-222-202i2i−2i−2i000002i−2i2-20000−i2i2−i2i2−2−222000000000000−i2i2−220022-2-2-222-202i2i−2i−2i000002i−2i2-20000−i2i2−i2i2−2−222000000000000−i2i2−2200
χ2722-2-2-222-202i2i−2i−2i00000−2i2i-220000i2−i2i2−i222−2−2000000000000−i2i2−220022-2-2-222-202i2i−2i−2i00000−2i2i-220000i2−i2i2−i222−2−2000000000000−i2i2−2200
χ2822-2-2-222-202i2i−2i−2i00000−2i2i-220000−i2i2−i2i2−2−222000000000000i2−i22−20022-2-2-222-202i2i−2i−2i00000−2i2i-220000−i2i2−i2i2−2−222000000000000i2−i22−200
χ2922-2-2-222-20−2i−2i2i2i000002i−2i-220000i2−i2i2−i2−2−222000000000000−i2i22−20022-2-2-222-20−2i−2i2i2i000002i−2i-220000i2−i2i2−i2−2−222000000000000−i2i22−200
χ3022-2-2-222-20−2i−2i2i2i000002i−2i-220000−i2i2−i2i222−2−2000000000000i2−i2−220022-2-2-222-20−2i−2i2i2i000002i−2i-220000−i2i2−i2i222−2−2000000000000i2−i2−2200
χ3122-2-2-222-20−2i−2i2i2i00000−2i2i2-20000i2−i2i2−i2−2−222000000000000i2−i2−220022-2-2-222-20−2i−2i2i2i00000−2i2i2-20000i2−i2i2−i2−2−222000000000000i2−i2−2200
χ3222-2-2-222-20−2i−2i2i2i00000−2i2i2-20000−i2i2−i2i222−2−2000000000000−i2i22−20022-2-2-222-20−2i−2i2i2i00000−2i2i2-20000−i2i2−i2i222−2−2000000000000−i2i22−200
χ332-222-2-22-222i−2i2i−2i-2-222i−2i000000000000000002-2000002i−2i000000002-222-2-22-222i−2i2i−2i-2-222i−2i000000000000000002-2000002i−2i00000000
χ342-222-2-22-222i−2i2i−2i-2-222i−2i00000000000000000-2200000−2i2i000000002-222-2-22-222i−2i2i−2i-2-222i−2i00000000000000000-2200000−2i2i00000000
χ352-222-2-22-22−2i2i−2i2i-2-22−2i2i000000000000000002-200000−2i2i000000002-222-2-22-22−2i2i−2i2i-2-22−2i2i000000000000000002-200000−2i2i00000000
χ362-222-2-22-22−2i2i−2i2i-2-22−2i2i00000000000000000-22000002i−2i000000002-222-2-22-22−2i2i−2i2i-2-22−2i2i00000000000000000-22000002i−2i00000000
χ372-222-2-22-2-22i−2i2i−2i22-2−2i2i00002i−2i2i−2i000000000002-200000000000002-222-2-22-2-22i−2i2i−2i22-2−2i2i00002i−2i2i−2i000000000002-20000000000000
χ382-222-2-22-2-22i−2i2i−2i22-2−2i2i0000−2i2i−2i2i00000000000-2200000000000002-222-2-22-2-22i−2i2i−2i22-2−2i2i0000−2i2i−2i2i00000000000-220000000000000
χ392-222-2-22-2-2−2i2i−2i2i22-22i−2i00002i−2i2i−2i00000000000-2200000000000002-222-2-22-2-2−2i2i−2i2i22-22i−2i00002i−2i2i−2i00000000000-220000000000000
χ402-222-2-22-2-2−2i2i−2i2i22-22i−2i0000−2i2i−2i2i000000000002-200000000000002-222-2-22-2-2−2i2i−2i2i22-22i−2i0000−2i2i−2i2i000000000002-20000000000000
χ412-22-2-22-22200002-2-20000002-2-2200002i−2i2i−2i000002i−2i000000000002-22-2-22-22200002-2-20000002-2-2200002i−2i2i−2i000002i−2i00000000000
χ422-22-2-22-22200002-2-20000002-2-220000−2i2i−2i2i00000−2i2i000000000002-22-2-22-22200002-2-20000002-2-220000−2i2i−2i2i00000−2i2i00000000000
χ432-22-2-22-22200002-2-2000000-222-200002i−2i2i−2i00000−2i2i000000000002-22-2-22-22200002-2-2000000-222-200002i−2i2i−2i00000−2i2i00000000000
χ442-22-2-22-22200002-2-2000000-222-20000−2i2i−2i2i000002i−2i000000000002-22-2-22-22200002-2-2000000-222-20000−2i2i−2i2i000002i−2i00000000000
χ45444-44-4-4-440000-44-4000000000000000000000000000000000000444-44-4-4-440000-44-4000000000000000000000000000000000000
χ4644-44-4-4-440000000000000000002i2−2i2−2i22i2000000000000000000000044-44-4-4-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ4744-44-4-4-44000000000000000000−2i22i22i2−2i2000000000000000000000044-44-4-4-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ484-44-4-44-44-40000-4440000000000000000000000000000000000004-44-4-44-44-40000-444000000000000000000000000000000000000
χ494-4-4444-4-400000000000000000000002i2−2i2−2i22i20000000000000000004-4-4444-4-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ504-4-4444-4-40000000000000000000000−2i22i22i2−2i20000000000000000004-4-4444-4-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ514-4-4-44-44404-4-440000000000000000000000000000000000000004-4-4-44-44404-4-44000000000000000000000000000000000000000
χ524-4-4-44-4440-444-40000000000000000000000000000000000000004-4-4-44-4440-444-4000000000000000000000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111111111
χ551111111111111111111111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-11111-1-1-1-111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11111-1-1-111-1-11111-1-1
χ57111111111111111111-1-1-1-1111111111111-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1111111
χ58111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-11111111-1-1-1-1-1-1
χ59111111111111111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1111111-1-1
χ60111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111-1-11-1-1-1-1-1-1-1-111
χ61111111111-1-1-1-1111-1-111-1-111111111-1-1-1-11-1-1-1-1-1-1-11111-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-1-11111-11111111-1-1-1-111-1-11-1
χ62111111111-1-1-1-1111-1-111-1-11111-1-1-1-111111-1-1-1-111-111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-1-1-1-11111-1-1-1-1-11111-1-11-1-111-1-111-11
χ63111111111-1-1-1-1111-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-11
χ64111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1111-1
χ65111111111-1-1-1-1111-1-1-1-11111111111-1-1-1-1-111-1-1-1-11-1-11111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1-1-111-11
χ66111111111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-111-1-1111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-11111-1-1-1-11-1-111-1-1-1111111-1-11-1
χ67111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111111-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-1-1-11111111-1-1-1-1-1-1-111-1-1111-1
χ68111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111111111-1-1-1-1111-1-111-1-1-1-1-111-1-1-11
χ6922222222-22222-2-2-2-2-22222000000000000-2000000-20000000000-2-2-2-2-2-2-2-22-2-2-2-222222-2-2-2-2000000000000200000020000000000
χ7022222222-22222-2-2-2-2-2-2-2-2-2000000000000200000020000000000-2-2-2-2-2-2-2-22-2-2-2-2222222222000000000000-2000000-20000000000
χ7122222222-2-2-2-2-2-2-2-22222-2-2000000000000-200000020000000000-2-2-2-2-2-2-2-222222222-2-2-2-2220000000000002000000-20000000000
χ7222222222-2-2-2-2-2-2-2-222-2-2220000000000002000000-20000000000-2-2-2-2-2-2-2-222222222-2-222-2-2000000000000-200000020000000000
χ73222-22-2-2-2-200002-220000002i2i−2i−2i22-2-2000000000000002i−2i000000-2-2-22-222220000-22-2000000−2i−2i2i2i-2-22200000000000000−2i2i000000
χ74222-22-2-2-2-200002-220000002i2i−2i−2i-2-22200000000000000−2i2i000000-2-2-22-222220000-22-2000000−2i−2i2i2i22-2-2000000000000002i−2i000000
χ75222-22-2-2-2-200002-22000000−2i−2i2i2i22-2-200000000000000−2i2i000000-2-2-22-222220000-22-20000002i2i−2i−2i-2-222000000000000002i−2i000000
χ76222-22-2-2-2-200002-22000000−2i−2i2i2i-2-222000000000000002i−2i000000-2-2-22-222220000-22-20000002i2i−2i−2i22-2-200000000000000−2i2i000000
χ7722-2-2-222-202i2i−2i−2i000002i−2i2-20000i2−i2i2−i222−2−2000000000000i2−i22−200-2-2222-2-220−2i−2i2i2i00000−2i2i-220000−i2i2−i2i2−2−222000000000000−i2i2−2200
χ7822-2-2-222-202i2i−2i−2i000002i−2i2-20000−i2i2−i2i2−2−222000000000000−i2i2−2200-2-2222-2-220−2i−2i2i2i00000−2i2i-220000i2−i2i2−i222−2−2000000000000i2−i22−200
χ7922-2-2-222-202i2i−2i−2i00000−2i2i-220000i2−i2i2−i222−2−2000000000000−i2i2−2200-2-2222-2-220−2i−2i2i2i000002i−2i2-20000−i2i2−i2i2−2−222000000000000i2−i22−200
χ8022-2-2-222-202i2i−2i−2i00000−2i2i-220000−i2i2−i2i2−2−222000000000000i2−i22−200-2-2222-2-220−2i−2i2i2i000002i−2i2-20000i2−i2i2−i222−2−2000000000000−i2i2−2200
χ8122-2-2-222-20−2i−2i2i2i000002i−2i-220000i2−i2i2−i2−2−222000000000000−i2i22−200-2-2222-2-2202i2i−2i−2i00000−2i2i2-20000−i2i2−i2i222−2−2000000000000i2−i2−2200
χ8222-2-2-222-20−2i−2i2i2i000002i−2i-220000−i2i2−i2i222−2−2000000000000i2−i2−2200-2-2222-2-2202i2i−2i−2i00000−2i2i2-20000i2−i2i2−i2−2−222000000000000−i2i22−200
χ8322-2-2-222-20−2i−2i2i2i00000−2i2i2-20000i2−i2i2−i2−2−222000000000000i2−i2−2200-2-2222-2-2202i2i−2i−2i000002i−2i-220000−i2i2−i2i222−2−2000000000000−i2i22−200
χ8422-2-2-222-20−2i−2i2i2i00000−2i2i2-20000−i2i2−i2i222−2−2000000000000−i2i22−200-2-2222-2-2202i2i−2i−2i000002i−2i-220000i2−i2i2−i2−2−222000000000000i2−i2−2200
χ852-222-2-22-222i−2i2i−2i-2-222i−2i000000000000000002-2000002i−2i00000000-22-2-222-22-2−2i2i−2i2i22-2−2i2i00000000000000000-2200000−2i2i00000000
χ862-222-2-22-222i−2i2i−2i-2-222i−2i00000000000000000-2200000−2i2i00000000-22-2-222-22-2−2i2i−2i2i22-2−2i2i000000000000000002-2000002i−2i00000000
χ872-222-2-22-22−2i2i−2i2i-2-22−2i2i000000000000000002-200000−2i2i00000000-22-2-222-22-22i−2i2i−2i22-22i−2i00000000000000000-22000002i−2i00000000
χ882-222-2-22-22−2i2i−2i2i-2-22−2i2i00000000000000000-22000002i−2i00000000-22-2-222-22-22i−2i2i−2i22-22i−2i000000000000000002-200000−2i2i00000000
χ892-222-2-22-2-22i−2i2i−2i22-2−2i2i00002i−2i2i−2i000000000002-20000000000000-22-2-222-222−2i2i−2i2i-2-222i−2i0000−2i2i−2i2i00000000000-220000000000000
χ902-222-2-22-2-22i−2i2i−2i22-2−2i2i0000−2i2i−2i2i00000000000-220000000000000-22-2-222-222−2i2i−2i2i-2-222i−2i00002i−2i2i−2i000000000002-20000000000000
χ912-222-2-22-2-2−2i2i−2i2i22-22i−2i00002i−2i2i−2i00000000000-220000000000000-22-2-222-2222i−2i2i−2i-2-22−2i2i0000−2i2i−2i2i000000000002-20000000000000
χ922-222-2-22-2-2−2i2i−2i2i22-22i−2i0000−2i2i−2i2i000000000002-20000000000000-22-2-222-2222i−2i2i−2i-2-22−2i2i00002i−2i2i−2i00000000000-220000000000000
χ932-22-2-22-22200002-2-20000002-2-2200002i−2i2i−2i000002i−2i00000000000-22-222-22-2-20000-222000000-222-20000−2i2i−2i2i00000−2i2i00000000000
χ942-22-2-22-22200002-2-20000002-2-220000−2i2i−2i2i00000−2i2i00000000000-22-222-22-2-20000-222000000-222-200002i−2i2i−2i000002i−2i00000000000
χ952-22-2-22-22200002-2-2000000-222-200002i−2i2i−2i00000−2i2i00000000000-22-222-22-2-20000-2220000002-2-220000−2i2i−2i2i000002i−2i00000000000
χ962-22-2-22-22200002-2-2000000-222-20000−2i2i−2i2i000002i−2i00000000000-22-222-22-2-20000-2220000002-2-2200002i−2i2i−2i00000−2i2i00000000000
χ97444-44-4-4-440000-44-4000000000000000000000000000000000000-4-4-44-4444-400004-44000000000000000000000000000000000000
χ9844-44-4-4-440000000000000000002i2−2i2−2i22i20000000000000000000000-4-44-4444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ9944-44-4-4-44000000000000000000−2i22i22i2−2i20000000000000000000000-4-44-4444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ1004-44-4-44-44-40000-444000000000000000000000000000000000000-44-444-44-4400004-4-4000000000000000000000000000000000000
χ1014-4-4444-4-400000000000000000000002i2−2i2−2i22i2000000000000000000-444-4-4-4440000000000000000000000−2i22i22i2−2i2000000000000000000
χ1024-4-4444-4-40000000000000000000000−2i22i22i2−2i2000000000000000000-444-4-4-44400000000000000000000002i2−2i2−2i22i2000000000000000000
χ1034-4-4-44-44404-4-44000000000000000000000000000000000000000-4444-44-4-40-444-4000000000000000000000000000000000000000
χ1044-4-4-44-4440-444-4000000000000000000000000000000000000000-4444-44-4-404-4-44000000000000000000000000000000000000000

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