Finite Group Databasebeta

← Group #6463952

Character table — Group #6463952

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222444444444444444444444444444444444444888888882222222244444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111
χ711111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1
χ91111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1
χ101111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111
χ111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111
χ121111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111
χ1722222222-2-222222222-2-2-2-2-2-2-2-22200000000000000000000000022222222-2-222222222-2-2-2-2-2-2-2-222000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-222-2-222-2-200000000000000000000000022222222-2-22222-2-2-2-2-2-222-2-222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000
χ21222-2-2-22-222000022-2-2-2-22-20000000000002-22-200000000000000222-2-2-22-222000022-2-2-2-22-20000000000002-22-200000000000000
χ22222-2-2-22-222000022-2-2-2-22-2000000000000-22-2200000000000000222-2-2-22-222000022-2-2-2-22-2000000000000-22-2200000000000000
χ23222-2-2-22-2220000-2-222-2-2-220000000000002-2-2200000000000000222-2-2-22-2220000-2-222-2-2-220000000000002-2-2200000000000000
χ24222-2-2-22-2220000-2-222-2-2-22000000000000-222-200000000000000222-2-2-22-2220000-2-222-2-2-22000000000000-222-200000000000000
χ25222-2-2-22-2-2-2000022-2-222-220000000000000000002i−2i2i−2i00000000222-2-2-22-2-2-2000022-2-222-220000000000000000002i−2i2i−2i00000000
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χ27222-2-2-22-2-2-20000-2-222222-20000000000000000002i−2i−2i2i00000000222-2-2-22-2-2-20000-2-222222-20000000000000000002i−2i−2i2i00000000
χ28222-2-2-22-2-2-20000-2-222222-2000000000000000000−2i2i2i−2i00000000222-2-2-22-2-2-20000-2-222222-2000000000000000000−2i2i2i−2i00000000
χ2922-22-2-2-222-22i2i−2i−2i00002-2002i−2i000000002i−2i00002-200000000000022-22-2-2-222-22i2i−2i−2i00002-2002i−2i000000002i−2i00002-2000000000000
χ3022-22-2-2-222-22i2i−2i−2i00002-2002i−2i00000000−2i2i0000-2200000000000022-22-2-2-222-22i2i−2i−2i00002-2002i−2i00000000−2i2i0000-22000000000000
χ3122-22-2-2-222-2−2i−2i2i2i00002-200−2i2i000000002i−2i0000-2200000000000022-22-2-2-222-2−2i−2i2i2i00002-200−2i2i000000002i−2i0000-22000000000000
χ3222-22-2-2-222-2−2i−2i2i2i00002-200−2i2i00000000−2i2i00002-200000000000022-22-2-2-222-2−2i−2i2i2i00002-200−2i2i00000000−2i2i00002-2000000000000
χ3322-22-2-2-22-222i2i−2i−2i0000-2200−2i2i00002-22i−2i0000000000000000000022-22-2-2-22-222i2i−2i−2i0000-2200−2i2i00002-22i−2i00000000000000000000
χ3422-22-2-2-22-222i2i−2i−2i0000-2200−2i2i0000-22−2i2i0000000000000000000022-22-2-2-22-222i2i−2i−2i0000-2200−2i2i0000-22−2i2i00000000000000000000
χ3522-22-2-2-22-22−2i−2i2i2i0000-22002i−2i00002-2−2i2i0000000000000000000022-22-2-2-22-22−2i−2i2i2i0000-22002i−2i00002-2−2i2i00000000000000000000
χ3622-22-2-2-22-22−2i−2i2i2i0000-22002i−2i0000-222i−2i0000000000000000000022-22-2-2-22-22−2i−2i2i2i0000-22002i−2i0000-222i−2i00000000000000000000
χ372-2-222-22-2002i−2i2i−2i2-22-2000000002i−2i00000000000000002−2i2−i22−2i2−i22-2-222-22-2002i−2i2i−2i2-22-2000000002i−2i00000000000000002−2i2−i22−2i2−i2
χ382-2-222-22-2002i−2i2i−2i2-22-2000000002i−2i0000000000000000−22−i2i2−22−i2i22-2-222-22-2002i−2i2i−2i2-22-2000000002i−2i0000000000000000−22−i2i2−22−i2i2
χ392-2-222-22-2002i−2i2i−2i-22-2200000000−2i2i00000000000000002−2i2−i2−22−i2i22-2-222-22-2002i−2i2i−2i-22-2200000000−2i2i00000000000000002−2i2−i2−22−i2i2
χ402-2-222-22-2002i−2i2i−2i-22-2200000000−2i2i0000000000000000−22−i2i22−2i2−i22-2-222-22-2002i−2i2i−2i-22-2200000000−2i2i0000000000000000−22−i2i22−2i2−i2
χ412-2-222-22-200−2i2i−2i2i2-22-200000000−2i2i00000000000000002−2−i2i22−2−i2i22-2-222-22-200−2i2i−2i2i2-22-200000000−2i2i00000000000000002−2−i2i22−2−i2i2
χ422-2-222-22-200−2i2i−2i2i2-22-200000000−2i2i0000000000000000−22i2−i2−22i2−i22-2-222-22-200−2i2i−2i2i2-22-200000000−2i2i0000000000000000−22i2−i2−22i2−i2
χ432-2-222-22-200−2i2i−2i2i-22-22000000002i−2i00000000000000002−2−i2i2−22i2−i22-2-222-22-200−2i2i−2i2i-22-22000000002i−2i00000000000000002−2−i2i2−22i2−i2
χ442-2-222-22-200−2i2i−2i2i-22-22000000002i−2i0000000000000000−22i2−i22−2−i2i22-2-222-22-200−2i2i−2i2i-22-22000000002i−2i0000000000000000−22i2−i22−2−i2i2
χ4544-4-444-4-44-400000000-440000000000000000000000000000000044-4-444-4-44-400000000-4400000000000000000000000000000000
χ4644-4-444-4-4-44000000004-40000000000000000000000000000000044-4-444-4-4-44000000004-400000000000000000000000000000000
χ474-444-44-4-4004-4-44000000000000000000000000000000000000004-444-44-4-4004-4-4400000000000000000000000000000000000000
χ484-444-44-4-400-444-4000000000000000000000000000000000000004-444-44-4-400-444-400000000000000000000000000000000000000
χ494-44-44-4-4400000000000000004i−4i000000000000000000000000004-44-44-4-4400000000000000004i−4i00000000000000000000000000
χ504-44-44-4-440000000000000000−4i4i000000000000000000000000004-44-44-4-440000000000000000−4i4i00000000000000000000000000
χ514-4-4-4-44440000004-4-4400000000000000000000000000000000004-4-4-4-44440000004-4-440000000000000000000000000000000000
χ524-4-4-4-4444000000-444-400000000000000000000000000000000004-4-4-4-4444000000-444-40000000000000000000000000000000000
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
χ541111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111
χ551111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ5711111111111111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111
χ5811111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ5911111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ6011111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-111-1-1-1-111-1-1-1-1-1-11111
χ611111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-111-1-111
χ621111111111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-111-1-1
χ631111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1111111-1-111-1-1
χ641111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111-1-111
χ651111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1
χ661111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ671111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ681111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1
χ6922222222-2-222222222-2-2-2-2-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2000000000000000000000000
χ7022222222-2-22222-2-2-2-2-2-222-2-222-2-2000000000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2222222-2-222-2-222000000000000000000000000
χ7122222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-222000000000000000000000000
χ7222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000-2-2-2-2-2-2-2-2222222222222-2-2-2-222-2-2000000000000000000000000
χ73222-2-2-22-222000022-2-2-2-22-20000000000002-22-200000000000000-2-2-2222-22-2-20000-2-22222-22000000000000-22-2200000000000000
χ74222-2-2-22-222000022-2-2-2-22-2000000000000-22-2200000000000000-2-2-2222-22-2-20000-2-22222-220000000000002-22-200000000000000
χ75222-2-2-22-2220000-2-222-2-2-220000000000002-2-2200000000000000-2-2-2222-22-2-2000022-2-2222-2000000000000-222-200000000000000
χ76222-2-2-22-2220000-2-222-2-2-22000000000000-222-200000000000000-2-2-2222-22-2-2000022-2-2222-20000000000002-2-2200000000000000
χ77222-2-2-22-2-2-2000022-2-222-220000000000000000002i−2i2i−2i00000000-2-2-2222-22220000-2-222-2-22-2000000000000000000−2i2i−2i2i00000000
χ78222-2-2-22-2-2-2000022-2-222-22000000000000000000−2i2i−2i2i00000000-2-2-2222-22220000-2-222-2-22-20000000000000000002i−2i2i−2i00000000
χ79222-2-2-22-2-2-20000-2-222222-20000000000000000002i−2i−2i2i00000000-2-2-2222-2222000022-2-2-2-2-22000000000000000000−2i2i2i−2i00000000
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χ8122-22-2-2-222-22i2i−2i−2i00002-2002i−2i000000002i−2i00002-2000000000000-2-22-2222-2-22−2i−2i2i2i0000-2200−2i2i00000000−2i2i0000-22000000000000
χ8222-22-2-2-222-22i2i−2i−2i00002-2002i−2i00000000−2i2i0000-22000000000000-2-22-2222-2-22−2i−2i2i2i0000-2200−2i2i000000002i−2i00002-2000000000000
χ8322-22-2-2-222-2−2i−2i2i2i00002-200−2i2i000000002i−2i0000-22000000000000-2-22-2222-2-222i2i−2i−2i0000-22002i−2i00000000−2i2i00002-2000000000000
χ8422-22-2-2-222-2−2i−2i2i2i00002-200−2i2i00000000−2i2i00002-2000000000000-2-22-2222-2-222i2i−2i−2i0000-22002i−2i000000002i−2i0000-22000000000000
χ8522-22-2-2-22-222i2i−2i−2i0000-2200−2i2i00002-22i−2i00000000000000000000-2-22-2222-22-2−2i−2i2i2i00002-2002i−2i0000-22−2i2i00000000000000000000
χ8622-22-2-2-22-222i2i−2i−2i0000-2200−2i2i0000-22−2i2i00000000000000000000-2-22-2222-22-2−2i−2i2i2i00002-2002i−2i00002-22i−2i00000000000000000000
χ8722-22-2-2-22-22−2i−2i2i2i0000-22002i−2i00002-2−2i2i00000000000000000000-2-22-2222-22-22i2i−2i−2i00002-200−2i2i0000-222i−2i00000000000000000000
χ8822-22-2-2-22-22−2i−2i2i2i0000-22002i−2i0000-222i−2i00000000000000000000-2-22-2222-22-22i2i−2i−2i00002-200−2i2i00002-2−2i2i00000000000000000000
χ892-2-222-22-2002i−2i2i−2i2-22-2000000002i−2i00000000000000002−2i2−i22−2i2−i2-222-2-22-2200−2i2i−2i2i-22-2200000000−2i2i0000000000000000−22−i2i2−22−i2i2
χ902-2-222-22-2002i−2i2i−2i2-22-2000000002i−2i0000000000000000−22−i2i2−22−i2i2-222-2-22-2200−2i2i−2i2i-22-2200000000−2i2i00000000000000002−2i2−i22−2i2−i2
χ912-2-222-22-2002i−2i2i−2i-22-2200000000−2i2i00000000000000002−2i2−i2−22−i2i2-222-2-22-2200−2i2i−2i2i2-22-2000000002i−2i0000000000000000−22−i2i22−2i2−i2
χ922-2-222-22-2002i−2i2i−2i-22-2200000000−2i2i0000000000000000−22−i2i22−2i2−i2-222-2-22-2200−2i2i−2i2i2-22-2000000002i−2i00000000000000002−2i2−i2−22−i2i2
χ932-2-222-22-200−2i2i−2i2i2-22-200000000−2i2i00000000000000002−2−i2i22−2−i2i2-222-2-22-22002i−2i2i−2i-22-22000000002i−2i0000000000000000−22i2−i2−22i2−i2
χ942-2-222-22-200−2i2i−2i2i2-22-200000000−2i2i0000000000000000−22i2−i2−22i2−i2-222-2-22-22002i−2i2i−2i-22-22000000002i−2i00000000000000002−2−i2i22−2−i2i2
χ952-2-222-22-200−2i2i−2i2i-22-22000000002i−2i00000000000000002−2−i2i2−22i2−i2-222-2-22-22002i−2i2i−2i2-22-200000000−2i2i0000000000000000−22i2−i22−2−i2i2
χ962-2-222-22-200−2i2i−2i2i-22-22000000002i−2i0000000000000000−22i2−i22−2−i2i2-222-2-22-22002i−2i2i−2i2-22-200000000−2i2i00000000000000002−2−i2i2−22i2−i2
χ9744-4-444-4-44-400000000-4400000000000000000000000000000000-4-444-4-444-44000000004-400000000000000000000000000000000
χ9844-4-444-4-4-44000000004-400000000000000000000000000000000-4-444-4-4444-400000000-4400000000000000000000000000000000
χ994-444-44-4-4004-4-4400000000000000000000000000000000000000-44-4-44-44400-444-400000000000000000000000000000000000000
χ1004-444-44-4-400-444-400000000000000000000000000000000000000-44-4-44-444004-4-4400000000000000000000000000000000000000
χ1014-44-44-4-4400000000000000004i−4i00000000000000000000000000-44-44-444-40000000000000000−4i4i00000000000000000000000000
χ1024-44-44-4-440000000000000000−4i4i00000000000000000000000000-44-44-444-400000000000000004i−4i00000000000000000000000000
χ1034-4-4-4-44440000004-4-440000000000000000000000000000000000-44444-4-4-4000000-444-40000000000000000000000000000000000
χ1044-4-4-4-4444000000-444-40000000000000000000000000000000000-44444-4-4-40000004-4-440000000000000000000000000000000000

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