Finite Group Databasebeta

← Group #72318162

Character table — Group #72318162

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size1122222224444888888888888888888881616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232646464646464
order12222222244442222222244444444444422224444444444444444224444444444444444444444888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ511111111111111111-1-1111111111-1-111111-1-111-111-1-1-111111111-111-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ611111111111111111-1-1111111111-1-111111-1-111-111-1-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1
χ711111111111111111-1-1111111111-1-111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1
χ811111111111111111-1-1111111111-1-111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ9111111111111111-1-111111111-1-11-1-1111-1-111-1-11-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11-111-1-1
χ10111111111111111-1-111111111-1-11-1-1111-1-111-1-11-1-1-1-1-1111111111-1-1-1-1111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11-1-111
χ11111111111111111-1-111111111-1-11-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1-1-111
χ12111111111111111-1-111111111-1-11-1-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1111-1-1
χ13111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-111111111111-111-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-1
χ14111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-111111111111-1-1-111-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111
χ15111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-111-111-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-1-111
χ16111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111111111-1-1-1-1-1-11111-1111-1-1
χ171111111111111-1-11111-1-1111111-111-1-1-11-1-1-11-11-1-11-1-1iiii−i−i−i−i1111111-11-111ii−i−iii−i−iii−i−i-1-1-1-1ii−i−iii−i−i-1-1i−ii−i
χ181111111111111-1-11111-1-1111111-111-1-1-11-1-1-11-11-1-11-1-1iiii−i−i−i−i1-1-1-1-1-1-1-11-1-1-1ii−i−iii−i−iii−i−i1111−i−iii−i−iii11−ii−ii
χ191111111111111-1-11111-1-1111111-111-1-1-11-1-1-11-11-1-11-1-1−i−i−i−iiiii1111111-11-111−i−iii−i−iii−i−iii-1-1-1-1−i−iii−i−iii-1-1−ii−ii
χ201111111111111-1-11111-1-1111111-111-1-1-11-1-1-11-11-1-11-1-1−i−i−i−iiiii1-1-1-1-1-1-1-11-1-1-1−i−iii−i−iii−i−iii1111ii−i−iii−i−i11i−ii−i
χ211111111111111-1-111-1-1-1-1111111-1-1-1-1-1-11-1111-1-1-1-1-111iiii−i−i−i−i-111-1-1-1-11-1111−i−iiiii−i−i−i−iii1111−i−iii−i−iii-1-1i−ii−i
χ221111111111111-1-111-1-1-1-1111111-1-1-1-1-1-11-1111-1-1-1-1-111iiii−i−i−i−i-1-1-111111-11-1-1−i−iiiii−i−i−i−iii-1-1-1-1ii−i−iii−i−i11−ii−ii
χ231111111111111-1-111-1-1-1-1111111-1-1-1-1-1-11-1111-1-1-1-1-111−i−i−i−iiiii-111-1-1-1-11-1111ii−i−i−i−iiiii−i−i1111ii−i−iii−i−i-1-1−ii−ii
χ241111111111111-1-111-1-1-1-1111111-1-1-1-1-1-11-1111-1-1-1-1-111−i−i−i−iiiii-1-1-111111-11-1-1ii−i−i−i−iiiii−i−i-1-1-1-1−i−iii−i−iii11i−ii−i
χ251111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-11111-111iiii−i−i−i−i11111-1-1-1-11-1-1−i−iii−i−iiiii−i−i-1-111ii−i−i−i−iii-11i−i−ii
χ261111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-11111-111iiii−i−i−i−i1-1-1-1-111-1-1111−i−iii−i−iiiii−i−i11-1-1−i−iiiii−i−i1-1−iii−i
χ271111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-11111-111−i−i−i−iiiii11111-1-1-1-11-1-1ii−i−iii−i−i−i−iii-1-111−i−iiiii−i−i-11−iii−i
χ281111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-11111-111−i−i−i−iiiii1-1-1-1-111-1-1111ii−i−iii−i−i−i−iii11-1-1ii−i−i−i−iii1-1i−i−ii
χ291111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111-11-1111-1-1iiii−i−i−i−i-111-1-11111-1-1-1ii−i−i−i−iii−i−iii11-1-1−i−iiiii−i−i-11i−i−ii
χ301111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111-11-1111-1-1iiii−i−i−i−i-1-1-111-1-111-111ii−i−i−i−iii−i−iii-1-111ii−i−i−i−iii1-1−iii−i
χ311111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111-11-1111-1-1−i−i−i−iiiii-111-1-11111-1-1-1−i−iiiii−i−iii−i−i11-1-1ii−i−i−i−iii-11−iii−i
χ321111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111-11-1111-1-1−i−i−i−iiiii-1-1-111-1-111-111−i−iiiii−i−iii−i−i-1-111−i−iiiii−i−i1-1i−i−ii
χ33222222222222222222222-2-2-2-222-222-2-2-2-2222-222-2-222200000000-2000000-2-2-200000000000000000000000000000000
χ3422222222222222222-2-222-2-2-2-222-2-2-2-2-2-2-22-2-2-22-2-2-2-2-2-200000000200000022200000000000000000000000000000000
χ35222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22-2222-2222-2-2-200000000-2000000-22200000000000000000000000000000000
χ36222222222222222-2-2-2-222-2-2-2-2-2-2-222-2-2-22-2-2-22-2-2222220000000020000002-2-200000000000000000000000000000000
χ372222222222222-2-22222-2-2-2-2-2-222222222-2-2-2-2-2-22222-2-200000000-20000002-2200000000000000000000000000000000
χ382222222222222-2-222-2-2-2-2-2-2-2-2222-2-2222-2-222-2-2-222-222000000002000000-22-200000000000000000000000000000000
χ392222222222222-2-2-2-222-2-2-2-2-2-2-2-22-2-222222-2-2222-2-2-22200000000-200000022-200000000000000000000000000000000
χ402222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-22-2-2000000002000000-2-2200000000000000000000000000000000
χ412222-2-22-2-222-2-22-200002-222-2-200-2002-220000000000002i2i−2i−2i2i2i−2i−2i000002i−2i00000000000000000002i−2i00002-22-2000000
χ422222-2-22-2-222-2-22-200002-222-2-200-2002-220000000000002i2i−2i−2i2i2i−2i−2i00000−2i2i0000000000000000000−2i2i0000-22-22000000
χ432222-2-22-2-222-2-22-200002-222-2-200-2002-22000000000000−2i−2i2i2i−2i−2i2i2i000002i−2i00000000000000000002i−2i0000-22-22000000
χ442222-2-22-2-222-2-22-200002-222-2-200-2002-22000000000000−2i−2i2i2i−2i−2i2i2i00000−2i2i0000000000000000000−2i2i00002-22-2000000
χ452222-2-22-2-222-2-2-220000-2222-2-200200-22-200000000000022-2-2-2-222000002i−2i0000000000000000000−2i2i0000−2i2i2i−2i000000
χ462222-2-22-2-222-2-2-220000-2222-2-200200-22-200000000000022-2-2-2-22200000−2i2i00000000000000000002i−2i00002i−2i−2i2i000000
χ472222-2-22-2-222-2-2-220000-2222-2-200200-22-2000000000000-2-22222-2-2000002i−2i0000000000000000000−2i2i00002i−2i−2i2i000000
χ482222-2-22-2-222-2-2-220000-2222-2-200200-22-2000000000000-2-22222-2-200000−2i2i00000000000000000002i−2i0000−2i2i2i−2i000000
χ4922-2-2222-2-2-22-222-20000-222-22-200-200-2220000000000002-22-22-22-20002-200000000000000000002-2002-22-20000000000
χ5022-2-2222-2-2-22-222-20000-222-22-200-200-2220000000000002-22-22-22-2000-220000000000000000000-2200-22-220000000000
χ5122-2-2222-2-2-22-222-20000-222-22-200-200-222000000000000-22-22-22-220002-200000000000000000002-200-22-220000000000
χ5222-2-2222-2-2-22-222-20000-222-22-200-200-222000000000000-22-22-22-22000-220000000000000000000-22002-22-20000000000
χ5322-2-2222-2-2-22-22-2200002-22-22-2002002-2-20000000000002i−2i2i−2i−2i2i−2i2i0002-20000000000000000000-22002i−2i−2i2i0000000000
χ5422-2-2222-2-2-22-22-2200002-22-22-2002002-2-20000000000002i−2i2i−2i−2i2i−2i2i000-2200000000000000000002-200−2i2i2i−2i0000000000
χ5522-2-2222-2-2-22-22-2200002-22-22-2002002-2-2000000000000−2i2i−2i2i2i−2i2i−2i0002-20000000000000000000-2200−2i2i2i−2i0000000000
χ5622-2-2222-2-2-22-22-2200002-22-22-2002002-2-2000000000000−2i2i−2i2i2i−2i2i−2i000-2200000000000000000002-2002i−2i−2i2i0000000000
χ5722-2-2-2-2222-222-2222-200-2-22-2-222-2200-2-222-200-2202-20002i−2i−2i2i2i−2i−2i2i00000000000000002i−2i2i−2i0000000000000000000000
χ5822-2-2-2-2222-222-2222-200-2-22-2-222-2200-2-222-200-2202-2000−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i−2i2i0000000000000000000000
χ5922-2-2-2-2222-222-2222-200-2-2-222-22-2-20022-2-2-200220-22000000000000000000000002i−2i2i−2i00002i−2i2i−2i000000000000000000
χ6022-2-2-2-2222-222-2222-200-2-2-222-22-2-20022-2-2-200220-2200000000000000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000
χ6122-2-2-2-2222-222-222-2200-2-22-2-22-22200-2-22-22002-20-220002i−2i−2i2i2i−2i−2i2i0000000000000000−2i2i−2i2i0000000000000000000000
χ6222-2-2-2-2222-222-222-2200-2-22-2-22-22200-2-22-22002-20-22000−2i2i2i−2i−2i2i2i−2i00000000000000002i−2i2i−2i0000000000000000000000
χ6322-2-2-2-2222-222-222-2200-2-2-222-2-22-20022-22200-2-202-2000000000000000000000002i−2i2i−2i0000−2i2i−2i2i000000000000000000
χ6422-2-2-2-2222-222-222-2200-2-2-222-2-22-20022-22200-2-202-200000000000000000000000−2i2i−2i2i00002i−2i2i−2i000000000000000000
χ6522-2-2-2-2222-222-2-2-22-200222-2-222-2-20022-22200-2-20-220002-2-22-222-200000000000000002-2-220000000000000000000000
χ6622-2-2-2-2222-222-2-2-22-200222-2-222-2-20022-22200-2-20-22000-222-22-2-220000000000000000-222-20000000000000000000000
χ6722-2-2-2-2222-222-2-2-22-20022-222-22-2200-2-22-22002-202-2000000000000000000000002-2-2200002-2-22000000000000000000
χ6822-2-2-2-2222-222-2-2-22-20022-222-22-2200-2-22-22002-202-200000000000000000000000-222-20000-222-2000000000000000000
χ6922-2-2-2-2222-222-2-2-2-2200222-2-22-22-20022-2-2-2002202-20002-2-22-222-20000000000000000-222-20000000000000000000000
χ7022-2-2-2-2222-222-2-2-2-2200222-2-22-22-20022-2-2-2002202-2000-222-22-2-2200000000000000002-2-220000000000000000000000
χ7122-2-2-2-2222-222-2-2-2-220022-222-2-22200-2-222-200-220-22000000000000000000000002-2-220000-222-2000000000000000000
χ7222-2-2-2-2222-222-2-2-2-220022-222-2-22200-2-222-200-220-2200000000000000000000000-222-200002-2-22000000000000000000
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χ74444444444-4-4-4-4004-4-4-4000000-440-4-400000000040040000000000000000000000000000000000000000000000000000
χ75444444444-4-4-4-400-44440000004-40-4-4000000000-40040000000000000000000000000000000000000000000000000000
χ76444444444-4-4-4-400-44-4-40000004-4044000000000400-40000000000000000000000000000000000000000000000000000
χ774444-4-44-4-444-4-44-400004-4-4-44400400-44-400000000000000000000000000000000000000000000000000000000000000
χ784444-4-44-4-444-4-4-440000-44-4-44400-4004-4400000000000000000000000000000000000000000000000000000000000000
χ7944-4-4444-4-4-44-444-40000-44-44-44004004-4-400000000000000000000000000000000000000000000000000000000000000
χ8044-4-4444-4-4-44-44-4400004-4-44-4400-400-44400000000000000000000000000000000000000000000000000000000000000
χ8144-4-4-4-44444-4-44004400000000-4-4000000004-40000004-400000000000000000000000000000000000000000000000000
χ8244-4-4-4-44444-4-44004400000000-4-400000000-44000000-4400000000000000000000000000000000000000000000000000
χ8344-4-4-4-44444-4-4400-4-40000000044000000004-4000000-4400000000000000000000000000000000000000000000000000
χ8444-4-4-4-44444-4-4400-4-4000000004400000000-440000004-400000000000000000000000000000000000000000000000000
χ858888-8-88-8-8-8-8880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ86888-88-8-88-80000000000000000000000000000000000000000000000000000004-4000000000000000000000000000000
χ87888-88-8-88-8000000000000000000000000000000000000000000000000000000-44000000000000000000000000000000
χ88888-8-88-8-88000000008-80000000000000000000000000000000000000000000000000000000000000000000000000000
χ89888-8-88-8-8800000000-880000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-888-8-8-8800000000000000000008-800000000000000000000000000000000000000000000000000000000000000000
χ9188-888-8-8-880000000000000000000-8800000000000000000000000000000000000000000000000000000000000000000
χ9288-88-88-88-80000000000000000000000000000000000000000000004-4000000000000000000000000000000000000000
χ9388-88-88-88-8000000000000000000000000000000000000000000000-44000000000000000000000000000000000000000
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χ9532-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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