Finite Group Databasebeta

← Group #6449277

Character table — Group #6449277

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882244444444448888442222222244444444444444444488888888224444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1
χ91111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1111-111-1-1-1-111-1-11-11111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1111-111-1-1-1-111-1-11-1
χ101111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-111111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-11
χ111111111111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-111-11-1-111-1-1-1-111-111111111111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-111-11-1-111-1-1-1-111-11
χ121111111111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1111111-1-11-11111111111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1111111-1-11-1
χ131111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-1-1-1111111-1-1-111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-1-1-1111111-1-1-11
χ141111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-1-1-1111-11111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-1-1-1111-1
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1-1111-11111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1-1111-1
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1111-1-1-1-111-1-1-111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1111-1-1-1-111-1-1-11
χ1722222222-2-22222-2-2-2-200002222000000000000-2-200000000000022222222-2-22222-2-2-2-200002222000000000000-2-2000000000000
χ1822222222-2-22222-2-2-2-20000-2-2-2-20000000000002200000000000022222222-2-22222-2-2-2-20000-2-2-2-200000000000022000000000000
χ1922222222-2-2-2-2-2-2-2-222000022-2-2000000000000-2200000000000022222222-2-2-2-2-2-2-2-222000022-2-2000000000000-22000000000000
χ2022222222-2-2-2-2-2-2-2-2220000-2-2220000000000002-200000000000022222222-2-2-2-2-2-2-2-2220000-2-2220000000000002-2000000000000
χ21222-22-2-2-22222-2-2-2-22-222-2-20000000000002-20000000000000000222-22-2-2-22222-2-2-2-22-222-2-20000000000002-20000000000000000
χ22222-22-2-2-22222-2-2-2-22-2-2-222000000000000-220000000000000000222-22-2-2-22222-2-2-2-22-2-2-222000000000000-220000000000000000
χ23222-22-2-2-222-2-222-2-2-2222-2-2000000000000-220000000000000000222-22-2-2-222-2-222-2-2-2222-2-2000000000000-220000000000000000
χ24222-22-2-2-222-2-222-2-2-22-2-2220000000000002-20000000000000000222-22-2-2-222-2-222-2-2-22-2-2220000000000002-20000000000000000
χ25222-22-2-2-2-2-222-2-222-2200000000000000000000002i−2i2i−2i00000000222-22-2-2-2-2-222-2-222-2200000000000000000000002i−2i2i−2i00000000
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χ27222-22-2-2-2-2-2-2-222222-200000000000000000000002i−2i−2i2i00000000222-22-2-2-2-2-2-2-222222-200000000000000000000002i−2i−2i2i00000000
χ28222-22-2-2-2-2-2-2-222222-20000000000000000000000−2i2i2i−2i00000000222-22-2-2-2-2-2-2-222222-20000000000000000000000−2i2i2i−2i00000000
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χ3222-22-22-2-22-20000-2200−2i2i−2i2i0000−2i−2i2i2i0000002-20000000000000022-22-22-2-22-20000-2200−2i2i−2i2i0000−2i−2i2i2i0000002-200000000000000
χ3322-2-2-2-2222-200002-2002i−2i−2i2i000000002i2i−2i−2i00000000002-200000022-2-2-2-2222-200002-2002i−2i−2i2i000000002i2i−2i−2i00000000002-2000000
χ3422-2-2-2-2222-200002-2002i−2i−2i2i00000000−2i−2i2i2i0000000000-2200000022-2-2-2-2222-200002-2002i−2i−2i2i00000000−2i−2i2i2i0000000000-22000000
χ3522-2-2-2-2222-200002-200−2i2i2i−2i000000002i2i−2i−2i0000000000-2200000022-2-2-2-2222-200002-200−2i2i2i−2i000000002i2i−2i−2i0000000000-22000000
χ3622-2-2-2-2222-200002-200−2i2i2i−2i00000000−2i−2i2i2i00000000002-200000022-2-2-2-2222-200002-200−2i2i2i−2i00000000−2i−2i2i2i00000000002-2000000
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χ382-2-222-22-2002-22-2000000002i−2i2i−2i−22−22−22−22000000000000−i2i2−i2i2002-2-222-22-2002-22-2000000002i−2i2i−2i−22−22−22−22000000000000−i2i2−i2i200
χ392-2-222-22-2002-22-200000000−2i2i−2i2i2−22−22−22−2000000000000−i2i2−i2i2002-2-222-22-2002-22-200000000−2i2i−2i2i2−22−22−22−2000000000000−i2i2−i2i200
χ402-2-222-22-2002-22-200000000−2i2i−2i2i−22−22−22−22000000000000i2−i2i2−i2002-2-222-22-2002-22-200000000−2i2i−2i2i−22−22−22−22000000000000i2−i2i2−i200
χ412-2-222-22-200-22-22000000002i−2i−2i2i2−22−2−22−22000000000000i2−i2−i2i2002-2-222-22-200-22-22000000002i−2i−2i2i2−22−2−22−22000000000000i2−i2−i2i200
χ422-2-222-22-200-22-22000000002i−2i−2i2i−22−222−22−2000000000000−i2i2i2−i2002-2-222-22-200-22-22000000002i−2i−2i2i−22−222−22−2000000000000−i2i2i2−i200
χ432-2-222-22-200-22-2200000000−2i2i2i−2i2−22−2−22−22000000000000−i2i2i2−i2002-2-222-22-200-22-2200000000−2i2i2i−2i2−22−2−22−22000000000000−i2i2i2−i200
χ442-2-222-22-200-22-2200000000−2i2i2i−2i−22−222−22−2000000000000i2−i2−i2i2002-2-222-22-200-22-2200000000−2i2i2i−2i−22−222−22−2000000000000i2−i2−i2i200
χ4544-44-44-4-4-4400004-400000000000000000000000000000000000044-44-44-4-4-4400004-4000000000000000000000000000000000000
χ4644-4-4-4-444-440000-4400000000000000000000000000000000000044-4-4-4-444-440000-44000000000000000000000000000000000000
χ474-444-4-4-440000000000000000002i2−2i2−2i22i200000000000000000000004-444-4-4-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ484-444-4-4-44000000000000000000−2i22i22i2−2i200000000000000000000004-444-4-4-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ494-44-4-444-400000000000000000000002i2−2i2−2i22i20000000000000000004-44-4-444-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ504-44-4-444-40000000000000000000000−2i22i22i2−2i20000000000000000004-44-4-444-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ514-4-4-444-44004-4-44000000000000000000000000000000000000004-4-4-444-44004-4-4400000000000000000000000000000000000000
χ524-4-4-444-4400-444-4000000000000000000000000000000000000004-4-4-444-4400-444-400000000000000000000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111
χ551111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1
χ57111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ58111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-11111-1-1
χ59111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ60111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ611111111111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1111-111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-11-1-11111-1-111-11
χ621111111111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11111-11-1-111-1-111-1-11-1
χ631111111111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-111-11-1-111-1-1-1-111-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-11-111-1-11111-1-11-1
χ641111111111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-11-1-1111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-111111-111-1-1-1-1-1-111-11
χ651111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-1-1-1111111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111-1-111-1111-1-1-1-1-1-1111-1
χ661111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-11
χ671111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1111-1-1-111-1-111-1-1-11
χ681111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1111-1-1-1-111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-1111-1
χ6922222222-2-22222-2-2-2-200002222000000000000-2-2000000000000-2-2-2-2-2-2-2-222-2-2-2-222220000-2-2-2-200000000000022000000000000
χ7022222222-2-22222-2-2-2-20000-2-2-2-200000000000022000000000000-2-2-2-2-2-2-2-222-2-2-2-2222200002222000000000000-2-2000000000000
χ7122222222-2-2-2-2-2-2-2-222000022-2-2000000000000-22000000000000-2-2-2-2-2-2-2-222222222-2-20000-2-2220000000000002-2000000000000
χ7222222222-2-2-2-2-2-2-2-2220000-2-2220000000000002-2000000000000-2-2-2-2-2-2-2-222222222-2-2000022-2-2000000000000-22000000000000
χ73222-22-2-2-22222-2-2-2-22-222-2-20000000000002-20000000000000000-2-2-22-2222-2-2-2-22222-22-2-222000000000000-220000000000000000
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χ8722-2-2-2-2222-200002-200−2i2i2i−2i000000002i2i−2i−2i0000000000-22000000-2-22222-2-2-220000-22002i−2i−2i2i00000000−2i−2i2i2i00000000002-2000000
χ8822-2-2-2-2222-200002-200−2i2i2i−2i00000000−2i−2i2i2i00000000002-2000000-2-22222-2-2-220000-22002i−2i−2i2i000000002i2i−2i−2i0000000000-22000000
χ892-2-222-22-2002-22-2000000002i−2i2i−2i2−22−22−22−2000000000000i2−i2i2−i200-222-2-22-2200-22-2200000000−2i2i−2i2i−22−22−22−22000000000000−i2i2−i2i200
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χ912-2-222-22-2002-22-200000000−2i2i−2i2i2−22−22−22−2000000000000−i2i2−i2i200-222-2-22-2200-22-22000000002i−2i2i−2i−22−22−22−22000000000000i2−i2i2−i200
χ922-2-222-22-2002-22-200000000−2i2i−2i2i−22−22−22−22000000000000i2−i2i2−i200-222-2-22-2200-22-22000000002i−2i2i−2i2−22−22−22−2000000000000−i2i2−i2i200
χ932-2-222-22-200-22-22000000002i−2i−2i2i2−22−2−22−22000000000000i2−i2−i2i200-222-2-22-22002-22-200000000−2i2i2i−2i−22−222−22−2000000000000−i2i2i2−i200
χ942-2-222-22-200-22-22000000002i−2i−2i2i−22−222−22−2000000000000−i2i2i2−i200-222-2-22-22002-22-200000000−2i2i2i−2i2−22−2−22−22000000000000i2−i2−i2i200
χ952-2-222-22-200-22-2200000000−2i2i2i−2i2−22−2−22−22000000000000−i2i2i2−i200-222-2-22-22002-22-2000000002i−2i−2i2i−22−222−22−2000000000000i2−i2−i2i200
χ962-2-222-22-200-22-2200000000−2i2i2i−2i−22−222−22−2000000000000i2−i2−i2i200-222-2-22-22002-22-2000000002i−2i−2i2i2−22−2−22−22000000000000−i2i2i2−i200
χ9744-44-44-4-4-4400004-4000000000000000000000000000000000000-4-44-44-4444-40000-44000000000000000000000000000000000000
χ9844-4-4-4-444-440000-44000000000000000000000000000000000000-4-44444-4-44-400004-4000000000000000000000000000000000000
χ994-444-4-4-440000000000000000002i2−2i2−2i22i20000000000000000000000-44-4-4444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ1004-444-4-4-44000000000000000000−2i22i22i2−2i20000000000000000000000-44-4-4444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ1014-44-4-444-400000000000000000000002i2−2i2−2i22i2000000000000000000-44-444-4-440000000000000000000000−2i22i22i2−2i2000000000000000000
χ1024-44-4-444-40000000000000000000000−2i22i22i2−2i2000000000000000000-44-444-4-4400000000000000000000002i2−2i2−2i22i2000000000000000000
χ1034-4-4-444-44004-4-4400000000000000000000000000000000000000-4444-4-44-400-444-400000000000000000000000000000000000000
χ1044-4-4-444-4400-444-400000000000000000000000000000000000000-4444-4-44-4004-4-4400000000000000000000000000000000000000

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