Finite Group Databasebeta

← Group #13034798

Character table — Group #13034798

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222244444444444444445555555588888888888888101010101010101010101010161616161616161620202020202020202020202020202020202020202020202020202020404040404040
order12224444224422445888810101020202020222244444410102020404040404040404022444444444410102020202020202244444444444444888888888888444444
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-111111111-1-1-1-1iiiiii−i−i−i−i−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−i−i−iiiiiii-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ511111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
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-111-1-1-1-111-1-1-1-1iiiiii−i−i−i−i−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-111-1-1-1-111-1-1-1-1−i−i−i−i−i−iiiiiii1111iiii−i−i−i−i11ii−i−i
χ9111111111111-1-1-1-111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1
χ10111111111111-1-1-1-111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii-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-1-1-1-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i-1-1-1-1−i−i−i−iiiii11ii−i−i
χ13111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ14111111111111-1-1-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111-1-1-1-1
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-1-1-11111-1-11111ii−i−i−i−i−i−iiiii1111−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-1-1-11111-1-11111−i−iiiiiii−i−i−i−i1111iiii−i−i−i−i-1-1−i−iii
χ171111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-1-1-1111-1-111-1-111111-1-1-1-111-1-11-111-1-11-111-1-111-1-111-1-111-1-11-11-11-1
χ181111-1-1-1-1-1-11111-1-1111-1-1111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-1-1-11-1-111-1-11111111-1-1-1-111-1-1-11-1-111-11-1-11111-1-1-1-111-1-1111-1-11-11
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-11111-1-1-1-1-1-111i−iii−i−i−ii−i−iii-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-11111-1-1-1-1-1-111−ii−i−iiii−iii−i−i-1-111−i−iiiii−i−i-11−iii−i
χ211111-1-1-1-1-1-11111-1-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-11111-1-1111-1-111-1-1111-1-111-1-111-1-11-111-1-11-111-1-1-1-111-1-111-1-111-11-11-11
χ221111-1-1-1-1-1-11111-1-11-1-111111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-11111-1-11-1-111-1-111111-1-111-1-111-1-1-11-1-111-11-1-111-1-11111-1-111-1-1-111-11-1
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-111-1-111-1-1-1-111i−iii−i−i−ii−i−iii11-1-1−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-111-1-111-1-1-1-111−ii−i−iiii−iii−i−i11-1-1ii−i−i−i−iii1-1i−i−ii
χ251111-1-1-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-1-1-1111-1-111-1-11-1-1-1-11111-1-1111-1-1-1111-1-1-11111-1-111-1-111-1-1-11-11-11
χ261111-1-1-1-1-1-111-1-111111-1-1111-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-1-1-11-1-111-1-1111-1-1-1-11111-1-111-1111-1-1-1111-1-111-1-1-1-111-1-111-111-11-1
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-1-1-1-1-1111111-1-1i−i−i−iii−iiii−i−i-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-1-1-1-1-1111111-1-1−iiii−i−ii−i−i−iii-1-111−i−iiiii−i−i1-1i−i−ii
χ291111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-11111-1-1111-1-111-1-11-1-111-1-111-1-1111-1-1-1111-1-1-111-1-111-1-111-1-1111-11-11-1
χ301111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-11111-1-11-1-111-1-1111-1-111-1-111-1-111-1111-1-1-1111-1-1-1-11111-1-111-1-11-1-11-11
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-1-1-111-1-11111-1-1i−i−i−iii−iiii−i−i11-1-1−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-1-1-111-1-11111-1-1−iiii−i−ii−i−i−iii11-1-1ii−i−i−i−iii-11−iii−i
χ3322222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-222222222-2000000000000-2-20000-2-20000000000000000000000
χ3422222222-2-2-2-200002000022222222222222200-2-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000220000220000000000000000000000
χ3522222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-2000000002222i2i2i2i−2i−2i−2i−2i2000000000000−2i−2i00002i2i0000000000000000000000
χ3622222222-2-2-2-20000200002222222-2-2-2-2-2-2-2-200-2-2-2-200000000222−2i−2i−2i−2i2i2i2i2i20000000000002i2i0000−2i−2i0000000000000000000000
χ372222-2-2-2-222-2-2000020000222-2-2-2-22222-2-2-2-20022-2-20000000022-222-2-222-2-2-2000000000000-220000-220000000000000000000000
χ382222-2-2-2-222-2-2000020000222-2-2-2-22222-2-2-2-20022-2-20000000022-2-2-222-2-222-20000000000002-200002-20000000000000000000000
χ392222-2-2-2-222-2-2000020000222-2-2-2-2-2-2-2-222220022-2-200000000-2-222i2i−2i−2i−2i−2i2i2i2000000000000−2i2i00002i−2i0000000000000000000000
χ402222-2-2-2-222-2-2000020000222-2-2-2-2-2-2-2-222220022-2-200000000-2-22−2i−2i2i2i2i2i−2i−2i20000000000002i−2i0000−2i2i0000000000000000000000
χ4122-2-22i2i−2i−2i000000002i2−i22−22-2-22i2i−2i−2i2-22-22i2i−2i−2i000000i2i2−i2−i222−2−20002-22i−2i2-22i−2i0000000000000000000000000i2−i22−2i2−i22−2i2−i22−2000000
χ4222-2-22i2i−2i−2i000000002i2−i22−22-2-22i2i−2i−2i2-22-22i2i−2i−2i000000i2i2−i2−i222−2−2000-22−2i2i-22−2i2i0000000000000000000000000i2−i22−2−i2i2−22−i2i2−22000000
χ4322-2-22i2i−2i−2i000000002i2−i22−22-2-22i2i−2i−2i-22-22−2i−2i2i2i000000i2i2−i2−i222−2−20002i−2i-22−2i2i2-20000000000000000000000000−i2i2−22−22i2−i22−2−i2i2000000
χ4422-2-22i2i−2i−2i000000002i2−i22−22-2-22i2i−2i−2i-22-22−2i−2i2i2i000000i2i2−i2−i222−2−2000−2i2i2-22i−2i-220000000000000000000000000−i2i2−222−2−i2i2−22i2−i2000000
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χ4622-2-22i2i−2i−2i000000002−i2i2−222-2-22i2i−2i−2i2-22-22i2i−2i−2i000000−i2−i2i2i2−2−222000-22−2i2i-22−2i2i0000000000000000000000000−i2i2−22i2−i22−2i2−i22−2000000
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χ5122-2-2−2i−2i2i2i000000002i2−i2−222-2-2−2i−2i2i2i-22-222i2i−2i−2i000000i2i2−i2−i2−2−2220002i−2i2-2−2i2i-220000000000000000000000000−i2i22−2−22−i2i22−2i2−i2000000
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χ874-4-444-44-44-44-4-44-44-1000011-1-11-110000000000-11-11i5−i5i5−i5i5−i5i5−i50000000000001-1−i5i5−i5i51-10000000000000000000000000000000000
χ884-4-444-44-44-44-4-44-44-1000011-1-11-110000000000-11-11−i5i5−i5i5−i5i5−i5i50000000000001-1i5−i5i5−i51-10000000000000000000000000000000000
χ894-4-44-44-44-444-44-4-44-1000011-11-11-100000000001-1-11i5−i5i5−i5−i5i5−i5i5000000000000-11i5−i5−i5i51-10000000000000000000000000000000000
χ904-4-44-44-44-444-44-4-44-1000011-11-11-100000000001-1-11−i5i5−i5i5i5−i5i5−i5000000000000-11−i5i5i5−i51-10000000000000000000000000000000000
χ914-4-44-44-44-444-4-444-4-1000011-11-11-100000000001-1-11i5−i5i5−i5−i5i5−i5i50000000000001-1−i5i5i5−i5-110000000000000000000000000000000000
χ924-4-44-44-44-444-4-444-4-1000011-11-11-100000000001-1-11−i5i5−i5i5i5−i5i5−i50000000000001-1i5−i5−i5i5-110000000000000000000000000000000000
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
χ9588-8-88i8i−8i−8i00000000-24i2−4i242−42-222−2i−2i2i2i00000000000000−i2−i2i2i2−2−222000000000000000000000000000000000000000000000000000000
χ9688-8-88i8i−8i−8i00000000-2−4i24i2−4242-222−2i−2i2i2i00000000000000i2i2−i2−i222−2−2000000000000000000000000000000000000000000000000000000
χ9788-8-8−8i−8i8i8i00000000-24i2−4i2−4242-2222i2i−2i−2i00000000000000−i2−i2i2i222−2−2000000000000000000000000000000000000000000000000000000
χ9888-8-8−8i−8i8i8i00000000-2−4i24i242−42-2222i2i−2i−2i00000000000000i2i2−i2−i2−2−222000000000000000000000000000000000000000000000000000000
χ998-88-88i−8i−8i8i00000000-200002-22−2i2i2i−2i0000000000000010−10−1010−i10i10i10−i10000000000000000000000000000000000000000000000000000000
χ1008-88-88i−8i−8i8i00000000-200002-22−2i2i2i−2i00000000000000−101010−10i10−i10−i10i10000000000000000000000000000000000000000000000000000000
χ1018-88-8−8i8i8i−8i00000000-200002-222i−2i−2i2i0000000000000010−10−1010i10−i10−i10i10000000000000000000000000000000000000000000000000000000
χ1028-88-8−8i8i8i−8i00000000-200002-222i−2i−2i2i00000000000000−101010−10−i10i10i10−i10000000000000000000000000000000000000000000000000000000
χ1038-8-888-88-8-88-880000-2000022-2-22-2200000000002-22-200000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-88-888-8-880000-2000022-22-22-20000000000-222-200000000000000000000000000000000000000000000000000000000000000

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