Finite Group Databasebeta

← Group #13035133

Character table — Group #13035133

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12224444224444445888810101020202020222244444410102020404040404040404022444444444420202020202020204444444444444444888888888888444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1iiii−i−i−i−i-111111111-1-1-1-1iiii−i−i−i−iii−i−i-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ41111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1−i−i−i−iiiii-111111111-1-1-1-1−i−i−i−iiiii−i−iii-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ511111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ711111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i1111−i−i−i−iiiii11−i−iii
χ811111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii1111iiii−i−i−i−i11ii−i−i
χ9111111111111-1-1-1-111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1
χ10111111111111-1-1-1-111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i-1-1-1-1iiii−i−i−i−i11−i−iii
χ12111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii-1-1-1-1−i−i−i−iiiii11ii−i−i
χ13111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ14111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ15111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-111111111−i−i−i−iiiiiii−i−i1111−i−i−i−iiiii-1-1ii−i−i
χ16111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-111111111iiii−i−i−i−i−i−iii1111iiii−i−i−i−i-1-1−i−iii
χ171111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-1-1-1111-1-111-1-1111-1-111-1-111-1-111-1-111-1-11-11-111-1-111-1-111-1-11-11-11-1
χ181111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-1-1-11-1-111-1-111111-1-111-1-111-1-1-1-111-1-111-11-1111-1-1-1-111-1-1111-1-11-11
χ191111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-111-1ii−i−i−i−iii-111-1-111-1-1-1-111ii−i−i−i−iiii−i−ii-1-111ii−i−i−i−iii-11i−i−ii
χ201111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-1-1-1-1-111111-1-1-1111111-1-1-1-111-1−i−iiiii−i−i-111-1-111-1-1-1-111−i−iiiii−i−i−iii−i-1-111−i−iiiii−i−i-11−iii−i
χ211111-1-1-1-1-1-11111-1-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-11111-1-1111-1-111-1-1111-1-1-1-11111-1-111-1-111-1-11-11-1-1-111-1-111-1-111-11-11-11
χ221111-1-1-1-1-1-11111-1-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-11111-1-11-1-111-1-111111-1-1-1-11111-1-1-1-111-1-111-11-11-1-11111-1-111-1-1-111-11-1
χ231111-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1111111-1ii−i−i−i−iii-111-1-1-1-111-1-111ii−i−i−i−iiii−i−ii11-1-1−i−iiiii−i−i1-1−iii−i
χ241111-1-1-1-1-1-11111-1-11-1-111111-1-1-1-1-1-1-1-11111-11-1-111-1-1-1-1111111-1−i−iiiii−i−i-111-1-1-1-111-1-111−i−iiiii−i−i−iii−i11-1-1ii−i−i−i−iii1-1i−i−ii
χ251111-1-1-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-1-1-1111-1-111-1-11-1-111-1-111-1-111-1-111-1-1111-11-111-1-111-1-111-1-1-11-11-11
χ261111-1-1-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-1-1-11-1-111-1-1111-1-111-1-111-1-11111-1-111-1-1-11-1111-1-1-1-111-1-111-111-11-1
χ271111-1-1-1-1-1-111-1-111111-1-1111-1-1-1-1-1-1-1-11111-11-1-1111111-1-1-1-111-1ii−i−i−i−iii-1-1-111-1-11111-1-1−i−iiiii−i−ii−i−ii-1-111ii−i−i−i−iii1-1−iii−i
χ281111-1-1-1-1-1-111-1-111111-1-1111-1-1-1-1-1-1-1-11111-11-1-1111111-1-1-1-111-1−i−iiiii−i−i-1-1-111-1-11111-1-1ii−i−i−i−iii−iii−i-1-111−i−iiiii−i−i1-1i−i−ii
χ291111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-11111-1-1111-1-111-1-11-1-11111-1-1-1-111-1-111-1-1111-11-1-1-111-1-111-1-1111-11-11-1
χ301111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-11111-1-11-1-111-1-1111-1-11111-1-1-1-11111-1-111-1-1-11-11-1-11111-1-111-1-11-1-11-11
χ311111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1111111-1ii−i−i−i−iii-1-1-11111-1-111-1-1−i−iiiii−i−ii−i−ii11-1-1−i−iiiii−i−i-11i−i−ii
χ321111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1111111-1−i−iiiii−i−i-1-1-11111-1-111-1-1ii−i−i−i−iii−iii−i11-1-1ii−i−i−i−iii-11−iii−i
χ3322222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-222222222-200000000000000000000-2-2-2-2000000000000000000
χ3422222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000002222000000000000000000
χ3522222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-2000000002222i2i2i2i−2i−2i−2i−2i200000000000000000000−2i−2i2i2i000000000000000000
χ3622222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-200000000222−2i−2i−2i−2i2i2i2i2i2000000000000000000002i2i−2i−2i000000000000000000
χ372222-2-2-2-222-2-2000020000222-2-2-2-22222-2-2-2-20022-2-20000000022-222-2-222-2-2-200000000000000000000-22-22000000000000000000
χ382222-2-2-2-222-2-2000020000222-2-2-2-22222-2-2-2-20022-2-20000000022-2-2-222-2-222-2000000000000000000002-22-2000000000000000000
χ392222-2-2-2-222-2-2000020000222-2-2-2-2-2-2-2-222220022-2-200000000-2-222i2i−2i−2i−2i−2i2i2i200000000000000000000−2i2i2i−2i000000000000000000
χ402222-2-2-2-222-2-2000020000222-2-2-2-2-2-2-2-222220022-2-200000000-2-22−2i−2i2i2i2i2i−2i−2i2000000000000000000002i−2i−2i2i000000000000000000
χ4122-2-222-2-22-22-20000200002-2-222-2-222-2-222-2-2002-22-2000000002-2200000000-20000000000002-22-22-22-20000000000000000000000
χ4222-2-222-2-22-22-20000200002-2-222-2-222-2-222-2-2002-22-2000000002-2200000000-2000000000000-22-22-22-220000000000000000000000
χ4322-2-222-2-22-22-20000200002-2-222-2-2-2-222-2-222002-22-200000000-22-20000000020000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000
χ4422-2-222-2-22-22-20000200002-2-222-2-2-2-222-2-222002-22-200000000-22-2000000002000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000
χ4522-2-222-2-2-22-222i−2i2i−2i200002-2-222-2-222-2-222-2-200-22-2200000000-22-20000000022i−2i2i−2i00002i−2i2i−2i000000000000000000000000000000
χ4622-2-222-2-2-22-222i−2i2i−2i200002-2-222-2-2-2-222-2-22200-22-22000000002-2200000000-22i−2i2i−2i0000−2i2i−2i2i000000000000000000000000000000
χ4722-2-222-2-2-22-22−2i2i−2i2i200002-2-222-2-222-2-222-2-200-22-2200000000-22-2000000002−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000000000
χ4822-2-222-2-2-22-22−2i2i−2i2i200002-2-222-2-2-2-222-2-22200-22-22000000002-2200000000-2−2i2i−2i2i00002i−2i2i−2i000000000000000000000000000000
χ4922-2-2-2-2222-2-222i−2i−2i2i200002-2-2-2-22222-2-2-2-222002-2-22000000002-2-20000000022i−2i−2i2i00002i−2i−2i2i000000000000000000000000000000
χ5022-2-2-2-2222-2-222i−2i−2i2i200002-2-2-2-222-2-22222-2-2002-2-2200000000-22200000000-22i−2i−2i2i0000−2i2i2i−2i000000000000000000000000000000
χ5122-2-2-2-2222-2-22−2i2i2i−2i200002-2-2-2-22222-2-2-2-222002-2-22000000002-2-2000000002−2i2i2i−2i0000−2i2i2i−2i000000000000000000000000000000
χ5222-2-2-2-2222-2-22−2i2i2i−2i200002-2-2-2-222-2-22222-2-2002-2-2200000000-22200000000-2−2i2i2i−2i00002i−2i−2i2i000000000000000000000000000000
χ5322-2-2-2-222-222-20000200002-2-2-2-22222-2-2-2-22200-222-200000000-22200000000-20000000000002-2-222-2-220000000000000000000000
χ5422-2-2-2-222-222-20000200002-2-2-2-22222-2-2-2-22200-222-200000000-22200000000-2000000000000-222-2-222-20000000000000000000000
χ5522-2-2-2-222-222-20000200002-2-2-2-222-2-22222-2-200-222-2000000002-2-20000000020000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000
χ5622-2-2-2-222-222-20000200002-2-2-2-222-2-22222-2-200-222-2000000002-2-2000000002000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000
χ572-22-22i−2i2i−2i000000002i2−i22−2-22-22i−2i2i−2i2-22-22i−2i2i−2i000000i2i2−i2−i222−2−20002-22i−2i2-22i−2i0000000000000000000000000i2−i22−2i2−i22−2i2−i22−2000000
χ582-22-22i−2i2i−2i000000002i2−i22−2-22-22i−2i2i−2i2-22-22i−2i2i−2i000000i2i2−i2−i222−2−2000-22−2i2i-22−2i2i0000000000000000000000000i2−i22−2−i2i2−22−i2i2−22000000
χ592-22-22i−2i2i−2i000000002i2−i22−2-22-22i−2i2i−2i-22-22−2i2i−2i2i000000i2i2−i2−i222−2−20002i−2i-22−2i2i2-20000000000000000000000000−i2i2−22−22i2−i22−2−i2i2000000
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χ672-22-2−2i2i−2i2i000000002i2−i2−22-22-2−2i2i−2i2i-22-222i−2i2i−2i000000i2i2−i2−i2−2−2220002i−2i2-2−2i2i-220000000000000000000000000−i2i22−2−22−i2i22−2i2−i2000000
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χ702-22-2−2i2i−2i2i000000002−i2i22−2-22-2−2i2i−2i2i2-22-2−2i2i−2i2i000000−i2−i2i2i222−2−2000-222i−2i-222i−2i0000000000000000000000000−i2i22−2i2−i2−22i2−i2−22000000
χ712-22-2−2i2i−2i2i000000002−i2i22−2-22-2−2i2i−2i2i-22-222i−2i2i−2i000000−i2−i2i2i222−2−20002i−2i2-2−2i2i-220000000000000000000000000i2−i2−222−2i2−i2−22−i2i2000000
χ722-22-2−2i2i−2i2i000000002−i2i22−2-22-2−2i2i−2i2i-22-222i−2i2i−2i000000−i2−i2i2i222−2−2000−2i2i-222i−2i2-20000000000000000000000000i2−i2−22−22−i2i22−2i2−i2000000
χ734444444444444444-14444-1-1-1-1-1-1-10000000044-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ744444444444444444-1-4-4-4-4-1-1-1-1-1-1-100000000-4-4-1-1-1-111111111000000000000-1-1-1-111110000000000000000000000000000000000
χ75444444444444-4-4-4-4-14444-1-1-1-1-1-1-100000000-4-4-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111110000000000000000000000000000000000
χ76444444444444-4-4-4-4-1-4-4-4-4-1-1-1-1-1-1-10000000044-1-1-1-1111111110000000000001111-1-1-1-10000000000000000000000000000000000
χ774444-4-4-4-4-4-44444-4-4-144-4-4-1-1-11111000000004-411-1-1-1-1-1-11111000000000000-1-111-1-1110000000000000000000000000000000000
χ784444-4-4-4-4-4-44444-4-4-1-4-444-1-1-1111100000000-4411-1-11111-1-1-1-1000000000000-1-11111-1-10000000000000000000000000000000000
χ794444-4-4-4-4-4-444-4-444-144-4-4-1-1-1111100000000-4411-1-1-1-1-1-1111100000000000011-1-111-1-10000000000000000000000000000000000
χ804444-4-4-4-4-4-444-4-444-1-4-444-1-1-11111000000004-411-1-11111-1-1-1-100000000000011-1-1-1-1110000000000000000000000000000000000
χ8144-4-444-4-4-44-444i−4i4i−4i-10000-111-1-11100000000001-11-15−55−55−55−5000000000000−ii−iii5−i5i5−i50000000000000000000000000000000000
χ8244-4-444-4-4-44-444i−4i4i−4i-10000-111-1-11100000000001-11-1−55−55−55−55000000000000−ii−ii−i5i5−i5i50000000000000000000000000000000000
χ8344-4-444-4-4-44-44−4i4i−4i4i-10000-111-1-11100000000001-11-15−55−55−55−5000000000000i−ii−i−i5i5−i5i50000000000000000000000000000000000
χ8444-4-444-4-4-44-44−4i4i−4i4i-10000-111-1-11100000000001-11-1−55−55−55−55000000000000i−ii−ii5−i5i5−i50000000000000000000000000000000000
χ8544-4-4-4-4444-4-444i−4i−4i4i-10000-11111-1-10000000000-111-15−55−5−55−55000000000000−iii−ii5−i5−i5i50000000000000000000000000000000000
χ8644-4-4-4-4444-4-444i−4i−4i4i-10000-11111-1-10000000000-111-1−55−555−55−5000000000000−iii−i−i5i5i5−i50000000000000000000000000000000000
χ8744-4-4-4-4444-4-44−4i4i4i−4i-10000-11111-1-10000000000-111-15−55−5−55−55000000000000i−i−ii−i5i5i5−i50000000000000000000000000000000000
χ8844-4-4-4-4444-4-44−4i4i4i−4i-10000-11111-1-10000000000-111-1−55−555−55−5000000000000i−i−iii5−i5−i5i50000000000000000000000000000000000
χ894-4-444i−4i−4i4i0000000040000-4-444i−4i−4i4i4-4-444i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ904-4-444i−4i−4i4i0000000040000-4-444i−4i−4i4i-444-4−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ914-4-44−4i4i4i−4i0000000040000-4-44−4i4i4i−4i4-4-44−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ924-4-44−4i4i4i−4i0000000040000-4-44−4i4i4i−4i-444-44i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ9388888888-8-8-8-80000-20000-2-2-2-2-2-2-20000000000222200000000000000000000000000000000000000000000000000000000000000
χ948888-8-8-8-888-8-80000-20000-2-2-222220000000000-2-22200000000000000000000000000000000000000000000000000000000000000
χ9588-8-888-8-88-88-80000-20000-222-2-2220000000000-22-2200000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-8-888-888-80000-20000-22222-2-200000000002-2-2200000000000000000000000000000000000000000000000000000000000000
χ978-88-88i−8i8i−8i00000000-24i2−4i242−422-22−2i2i−2i2i00000000000000−i2−i2i2i2−2−222000000000000000000000000000000000000000000000000000000
χ988-88-88i−8i8i−8i00000000-2−4i24i2−42422-22−2i2i−2i2i00000000000000i2i2−i2−i222−2−2000000000000000000000000000000000000000000000000000000
χ998-88-8−8i8i−8i8i00000000-24i2−4i2−42422-222i−2i2i−2i00000000000000−i2−i2i2i222−2−2000000000000000000000000000000000000000000000000000000
χ1008-88-8−8i8i−8i8i00000000-2−4i24i242−422-222i−2i2i−2i00000000000000i2i2−i2−i2−2−222000000000000000000000000000000000000000000000000000000
χ1018-8-888i−8i−8i8i00000000-2000022-2−2i2i2i−2i00000000000000i10−i10−i10i1010−10−1010000000000000000000000000000000000000000000000000000000
χ1028-8-888i−8i−8i8i00000000-2000022-2−2i2i2i−2i00000000000000−i10i10i10−i10−101010−10000000000000000000000000000000000000000000000000000000
χ1038-8-88−8i8i8i−8i00000000-2000022-22i−2i−2i2i00000000000000i10−i10−i10i10−101010−10000000000000000000000000000000000000000000000000000000
χ1048-8-88−8i8i8i−8i00000000-2000022-22i−2i−2i2i00000000000000−i10i10i10−i1010−10−1010000000000000000000000000000000000000000000000000000000

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