Finite Group Databasebeta

← Group #6457195

Character table — Group #6457195

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222444444444444224444444444444444444444888888882222222244444444444422444444444444444444444488888888
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
χ511111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111
χ811111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1
χ911111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111
χ1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111
χ1211111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1
χ1311111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-111
χ1411111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ1511111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111
χ17222222222222-2-22222-2-2-2-2-2-2-2-222000000000000000000000000222222222222-2-22222-2-2-2-2-2-2-2-222000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
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
χ2022222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000000000000000000022222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000
χ2122-2-22-2-222i2i−2i−2i002i2i−2i−2i000000002-200000000000000002−2i2−i2i2−i22−222-2-22-2-222i2i−2i−2i002i2i−2i−2i000000002-200000000000000002−2i2−i2i2−i22−2
χ2222-2-22-2-222i2i−2i−2i002i2i−2i−2i000000002-20000000000000000−22−i2i2−i2i2−2222-2-22-2-222i2i−2i−2i002i2i−2i−2i000000002-20000000000000000−22−i2i2−i2i2−22
χ2322-2-22-2-222i2i−2i−2i00−2i−2i2i2i00000000-2200000000000000002−2i2−i2−i2i2−2222-2-22-2-222i2i−2i−2i00−2i−2i2i2i00000000-2200000000000000002−2i2−i2−i2i2−22
χ2422-2-22-2-222i2i−2i−2i00−2i−2i2i2i00000000-220000000000000000−22−i2i2i2−i22−222-2-22-2-222i2i−2i−2i00−2i−2i2i2i00000000-220000000000000000−22−i2i2i2−i22−2
χ2522-2-22-2-22−2i−2i2i2i002i2i−2i−2i00000000-2200000000000000002−2−i2i2i2−i2−2222-2-22-2-22−2i−2i2i2i002i2i−2i−2i00000000-2200000000000000002−2−i2i2i2−i2−22
χ2622-2-22-2-22−2i−2i2i2i002i2i−2i−2i00000000-220000000000000000−22i2−i2−i2i22−222-2-22-2-22−2i−2i2i2i002i2i−2i−2i00000000-220000000000000000−22i2−i2−i2i22−2
χ2722-2-22-2-22−2i−2i2i2i00−2i−2i2i2i000000002-200000000000000002−2−i2i2−i2i22−222-2-22-2-22−2i−2i2i2i00−2i−2i2i2i000000002-200000000000000002−2−i2i2−i2i22−2
χ2822-2-22-2-22−2i−2i2i2i00−2i−2i2i2i000000002-20000000000000000−22i2−i2i2−i2−2222-2-22-2-22−2i−2i2i2i00−2i−2i2i2i000000002-20000000000000000−22i2−i2i2−i2−22
χ292-22-222-2-22-22-22-200002-200002-200000000002i−2i00002i−2i000000002-22-222-2-22-22-22-200002-200002-200000000002i−2i00002i−2i00000000
χ302-22-222-2-22-22-22-200002-200002-20000000000−2i2i0000−2i2i000000002-22-222-2-22-22-22-200002-200002-20000000000−2i2i0000−2i2i00000000
χ312-22-222-2-22-22-2-220000-220000-22000000002i−2i00002i−2i00000000002-22-222-2-22-22-2-220000-220000-22000000002i−2i00002i−2i0000000000
χ322-22-222-2-22-22-2-220000-220000-2200000000−2i2i0000−2i2i00000000002-22-222-2-22-22-2-220000-220000-2200000000−2i2i0000−2i2i0000000000
χ332-22-222-2-2-22-222-200002-20000-2200000000002i−2i0000−2i2i000000002-22-222-2-2-22-222-200002-20000-2200000000002i−2i0000−2i2i00000000
χ342-22-222-2-2-22-222-200002-20000-220000000000−2i2i00002i−2i000000002-22-222-2-2-22-222-200002-20000-220000000000−2i2i00002i−2i00000000
χ352-22-222-2-2-22-22-220000-2200002-2000000002i−2i0000−2i2i00000000002-22-222-2-2-22-22-220000-2200002-2000000002i−2i0000−2i2i0000000000
χ362-22-222-2-2-22-22-220000-2200002-200000000−2i2i00002i−2i00000000002-22-222-2-2-22-22-220000-2200002-200000000−2i2i00002i−2i0000000000
χ372-2-2-2-22220000222-22-2-2-22-20000002i−2i2i−2i000000000000000000002-2-2-2-22220000222-22-2-2-22-20000002i−2i2i−2i00000000000000000000
χ382-2-2-2-22220000222-22-2-2-22-2000000−2i2i−2i2i000000000000000000002-2-2-2-22220000222-22-2-2-22-2000000−2i2i−2i2i00000000000000000000
χ392-2-2-2-2222000022-22-22-2-2-220000002i−2i−2i2i000000000000000000002-2-2-2-2222000022-22-22-2-2-220000002i−2i−2i2i00000000000000000000
χ402-2-2-2-2222000022-22-22-2-2-22000000−2i2i2i−2i000000000000000000002-2-2-2-2222000022-22-22-2-2-22000000−2i2i2i−2i00000000000000000000
χ412-2-2-2-22220000-2-22-22-222-2200000000002-200002-20000000000002-2-2-2-22220000-2-22-22-222-2200000000002-200002-2000000000000
χ422-2-2-2-22220000-2-22-22-222-220000000000-220000-220000000000002-2-2-2-22220000-2-22-22-222-220000000000-220000-22000000000000
χ432-2-2-2-22220000-2-2-22-22222-200000000002-20000-220000000000002-2-2-2-22220000-2-2-22-22222-200000000002-20000-22000000000000
χ442-2-2-2-22220000-2-2-22-22222-20000000000-2200002-20000000000002-2-2-2-22220000-2-2-22-22222-20000000000-2200002-2000000000000
χ45444-4-4-44-4000000000000004-40000000000000000000000000000444-4-4-44-4000000000000004-40000000000000000000000000000
χ46444-4-4-44-400000000000000-440000000000000000000000000000444-4-4-44-400000000000000-440000000000000000000000000000
χ4744-44-44-4-400004-40000-440000000000000000000000000000000044-44-44-4-400004-40000-4400000000000000000000000000000000
χ4844-44-44-4-40000-4400004-40000000000000000000000000000000044-44-44-4-40000-4400004-400000000000000000000000000000000
χ494-444-4-4-440000004i−4i−4i4i00000000000000000000000000000000004-444-4-4-440000004i−4i−4i4i0000000000000000000000000000000000
χ504-444-4-4-44000000−4i4i4i−4i00000000000000000000000000000000004-444-4-4-44000000−4i4i4i−4i0000000000000000000000000000000000
χ514-4-444-44-44i−4i−4i4i00000000000000000000000000000000000000004-4-444-44-44i−4i−4i4i0000000000000000000000000000000000000000
χ524-4-444-44-4−4i4i4i−4i00000000000000000000000000000000000000004-4-444-44-4−4i4i4i−4i0000000000000000000000000000000000000000
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
χ5711111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-111-1-1-1-111-1-1-1-11111
χ5811111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1
χ5911111111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ6011111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ6111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-111
χ6211111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ6311111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-111-1-111-1-1
χ6411111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-111-1-111
χ6511111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1
χ6611111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111
χ6711111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111
χ6811111111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ69222222222222-2-22222-2-2-2-2-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2000000000000000000000000
χ70222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000
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
χ7222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222000000000000000000000000-2-2-2-2-2-2-2-2222222222222-2-222-2-2-2-2000000000000000000000000
χ7322-2-22-2-222i2i−2i−2i002i2i−2i−2i000000002-200000000000000002−2i2−i2i2−i22−2-2-222-222-2−2i−2i2i2i00−2i−2i2i2i00000000-220000000000000000−22−i2i2−i2i2−22
χ7422-2-22-2-222i2i−2i−2i002i2i−2i−2i000000002-20000000000000000−22−i2i2−i2i2−22-2-222-222-2−2i−2i2i2i00−2i−2i2i2i00000000-2200000000000000002−2i2−i2i2−i22−2
χ7522-2-22-2-222i2i−2i−2i00−2i−2i2i2i00000000-2200000000000000002−2i2−i2−i2i2−22-2-222-222-2−2i−2i2i2i002i2i−2i−2i000000002-20000000000000000−22−i2i2i2−i22−2
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χ7722-2-22-2-22−2i−2i2i2i002i2i−2i−2i00000000-2200000000000000002−2−i2i2i2−i2−22-2-222-222-22i2i−2i−2i00−2i−2i2i2i000000002-20000000000000000−22i2−i2−i2i22−2
χ7822-2-22-2-22−2i−2i2i2i002i2i−2i−2i00000000-220000000000000000−22i2−i2−i2i22−2-2-222-222-22i2i−2i−2i00−2i−2i2i2i000000002-200000000000000002−2−i2i2i2−i2−22
χ7922-2-22-2-22−2i−2i2i2i00−2i−2i2i2i000000002-200000000000000002−2−i2i2−i2i22−2-2-222-222-22i2i−2i−2i002i2i−2i−2i00000000-220000000000000000−22i2−i2i2−i2−22
χ8022-2-22-2-22−2i−2i2i2i00−2i−2i2i2i000000002-20000000000000000−22i2−i2i2−i2−22-2-222-222-22i2i−2i−2i002i2i−2i−2i00000000-2200000000000000002−2−i2i2−i2i22−2
χ812-22-222-2-22-22-22-200002-200002-200000000002i−2i00002i−2i00000000-22-22-2-222-22-22-220000-220000-220000000000−2i2i0000−2i2i00000000
χ822-22-222-2-22-22-22-200002-200002-20000000000−2i2i0000−2i2i00000000-22-22-2-222-22-22-220000-220000-2200000000002i−2i00002i−2i00000000
χ832-22-222-2-22-22-2-220000-220000-22000000002i−2i00002i−2i0000000000-22-22-2-222-22-222-200002-200002-200000000−2i2i0000−2i2i0000000000
χ842-22-222-2-22-22-2-220000-220000-2200000000−2i2i0000−2i2i0000000000-22-22-2-222-22-222-200002-200002-2000000002i−2i00002i−2i0000000000
χ852-22-222-2-2-22-222-200002-20000-2200000000002i−2i0000−2i2i00000000-22-22-2-2222-22-2-220000-2200002-20000000000−2i2i00002i−2i00000000
χ862-22-222-2-2-22-222-200002-20000-220000000000−2i2i00002i−2i00000000-22-22-2-2222-22-2-220000-2200002-200000000002i−2i0000−2i2i00000000
χ872-22-222-2-2-22-22-220000-2200002-2000000002i−2i0000−2i2i0000000000-22-22-2-2222-22-22-200002-20000-2200000000−2i2i00002i−2i0000000000
χ882-22-222-2-2-22-22-220000-2200002-200000000−2i2i00002i−2i0000000000-22-22-2-2222-22-22-200002-20000-22000000002i−2i0000−2i2i0000000000
χ892-2-2-2-22220000222-22-2-2-22-20000002i−2i2i−2i00000000000000000000-22222-2-2-20000-2-2-22-2222-22000000−2i2i−2i2i00000000000000000000
χ902-2-2-2-22220000222-22-2-2-22-2000000−2i2i−2i2i00000000000000000000-22222-2-2-20000-2-2-22-2222-220000002i−2i2i−2i00000000000000000000
χ912-2-2-2-2222000022-22-22-2-2-220000002i−2i−2i2i00000000000000000000-22222-2-2-20000-2-22-22-2222-2000000−2i2i2i−2i00000000000000000000
χ922-2-2-2-2222000022-22-22-2-2-22000000−2i2i2i−2i00000000000000000000-22222-2-2-20000-2-22-22-2222-20000002i−2i−2i2i00000000000000000000
χ932-2-2-2-22220000-2-22-22-222-2200000000002-200002-2000000000000-22222-2-2-2000022-22-22-2-22-20000000000-220000-22000000000000
χ942-2-2-2-22220000-2-22-22-222-220000000000-220000-22000000000000-22222-2-2-2000022-22-22-2-22-200000000002-200002-2000000000000
χ952-2-2-2-22220000-2-2-22-22222-200000000002-20000-22000000000000-22222-2-2-20000222-22-2-2-2-220000000000-2200002-2000000000000
χ962-2-2-2-22220000-2-2-22-22222-20000000000-2200002-2000000000000-22222-2-2-20000222-22-2-2-2-2200000000002-20000-22000000000000
χ97444-4-4-44-4000000000000004-40000000000000000000000000000-4-4-4444-4400000000000000-440000000000000000000000000000
χ98444-4-4-44-400000000000000-440000000000000000000000000000-4-4-4444-44000000000000004-40000000000000000000000000000
χ9944-44-44-4-400004-40000-4400000000000000000000000000000000-4-44-44-4440000-4400004-400000000000000000000000000000000
χ10044-44-44-4-40000-4400004-400000000000000000000000000000000-4-44-44-44400004-40000-4400000000000000000000000000000000
χ1014-444-4-4-440000004i−4i−4i4i0000000000000000000000000000000000-44-4-4444-4000000−4i4i4i−4i0000000000000000000000000000000000
χ1024-444-4-4-44000000−4i4i4i−4i0000000000000000000000000000000000-44-4-4444-40000004i−4i−4i4i0000000000000000000000000000000000
χ1034-4-444-44-44i−4i−4i4i0000000000000000000000000000000000000000-444-4-44-44−4i4i4i−4i0000000000000000000000000000000000000000
χ1044-4-444-44-4−4i4i4i−4i0000000000000000000000000000000000000000-444-4-44-444i−4i−4i4i0000000000000000000000000000000000000000

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