Finite Group Databasebeta

← Group #13025713

Character table — Group #13025713

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222444444444444444444444444444488888888888888888888888810101010101010101010101010101010202020202020202040404040404040404040404040404040
order122244442244444458888888810101010101010202020202020202020202020202020204040404040404040404040404040404044444444888888882244888816161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii
χ171-1-11-1-1111-11-1ii−i−i111-1-1ii−i−i11-1-11-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-1ii−i−i1-1i−i1-1i−ii−i1-1i−i1-1
χ181-1-11-1-1111-11-1ii−i−i111-1-1ii−i−i11-1-11-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-1ii−i−i-11−ii-11−ii−ii-11−ii-11
χ191-1-11-1-1111-11-1ii−i−i111-1-1ii−i−i11-1-11-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-11−i−iiii−i-11i−i-111-1−ii1-1−ii
χ201-1-11-1-1111-11-1ii−i−i111-1-1ii−i−i11-1-11-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-11-11−i−iii−ii1-1−ii1-1-11i−i-11i−i
χ211-1-11-1-1111-11-1ii−i−i1-1-111−i−iii11-1-11-1-111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-11-1−i−iiii−i-11−ii1-1-11i−i1-1−ii
χ221-1-11-1-1111-11-1ii−i−i1-1-111−i−iii11-1-11-1-111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-11-1−i−iii−ii1-1i−i-111-1−ii-11i−i
χ231-1-11-1-1111-11-1ii−i−i1-1-111−i−iii11-1-11-1-111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-11ii−i−i1-1i−i-11−ii−ii-11i−i1-1
χ241-1-11-1-1111-11-1ii−i−i1-1-111−i−iii11-1-11-1-111-1-111-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-11ii−i−i-11−ii1-1i−ii−i1-1−ii-11
χ251-1-11-1-1111-11-1−i−iii111-1-1−i−iii11-1-11-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11-11ii−i−ii−i1-1i−i1-1-11−ii-11−ii
χ261-1-11-1-1111-11-1−i−iii111-1-1−i−iii11-1-11-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-11-11ii−i−i−ii-11−ii-111-1i−i1-1i−i
χ271-1-11-1-1111-11-1−i−iii111-1-1−i−iii11-1-11-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-1−i−iii1-1−ii1-1−ii−ii1-1−ii1-1
χ281-1-11-1-1111-11-1−i−iii111-1-1−i−iii11-1-11-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-1−i−iii-11i−i-11i−ii−i-11i−i-11
χ291-1-11-1-1111-11-1−i−iii1-1-111ii−i−i11-1-11-1-111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11−i−iii1-1−ii-11i−ii−i-11−ii1-1
χ301-1-11-1-1111-11-1−i−iii1-1-111ii−i−i11-1-11-1-111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11−i−iii-11i−i1-1−ii−ii1-1i−i-11
χ311-1-11-1-1111-11-1−i−iii1-1-111ii−i−i11-1-11-1-111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-11-1ii−i−ii−i1-1−ii-111-1i−i-11−ii
χ321-1-11-1-1111-11-1−i−iii1-1-111ii−i−i11-1-11-1-111-1-111-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-11-1ii−i−i−ii-11i−i1-1-11−ii1-1i−i
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χ3422222222-2-2-2-22i−2i2i−2i200000000-2-2222-2-2-2-22222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000-2-222-2-2220000−2i2i−2i2i0000000000000000
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χ372222-2-2-2-222-2-2000022i−2i2i−2i00002222222-2-2-2-2-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i22-2-200000000000000000000
χ382222-2-2-2-222-2-2000022i−2i2i−2i00002222222-2-2-2-2-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i−2i2i−2i2i−2i2i-2-22200000000000000000000
χ392222-2-2-2-222-2-200002−2i2i−2i2i00002222222-2-2-2-2-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i2i−2i2i−2i2i−2i-2-22200000000000000000000
χ402222-2-2-2-222-2-200002−2i2i−2i2i00002222222-2-2-2-2-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i22-2-200000000000000000000
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χ452-2-2222-2-22-2-22000022i−2i−2i2i000022-2-22-2-2-2-222-2-222000000002i2i−2i−2i−2i−2i2i2i00000000000000002i−2i2i−2i−2i2i−2i2i2-2-2200000000000000000000
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χ824-4-4444-4-44-4-440000-14i−4i−4i4i0000-1-111-11111-1-111-1-1−i5i5−i5i5i5−i5i5−i5−i−iiiii−i−i5−5−55−555−50000000000000000000000000000000000000000
χ834-4-4444-4-44-4-440000-1−4i4i4i−4i0000-1-111-11111-1-111-1-1i5−i5i5−i5−i5i5−i5i5ii−i−i−i−iii5−5−55−555−50000000000000000000000000000000000000000
χ844-4-4444-4-44-4-440000-1−4i4i4i−4i0000-1-111-11111-1-111-1-1−i5i5−i5i5i5−i5i5−i5ii−i−i−i−iii−555−55−5−550000000000000000000000000000000000000000
χ854-4-4444-4-4-444-40000-100004i−4i−4i4i1111-1-1-1-1-1-1-111115−5−55−555−5i5−i5−i5i5−i5i5i5−i5−i−iiiii−i−i0000000000000000000000000000000000000000
χ864-4-4444-4-4-444-40000-100004i−4i−4i4i1111-1-1-1-1-1-1-11111−555−55−5−55−i5i5i5−i5i5−i5−i5i5−i−iiiii−i−i0000000000000000000000000000000000000000
χ874-4-4444-4-4-444-40000-10000−4i4i4i−4i1111-1-1-1-1-1-1-111115−5−55−555−5−i5i5i5−i5i5−i5−i5i5ii−i−i−i−iii0000000000000000000000000000000000000000
χ884-4-4444-4-4-444-40000-10000−4i4i4i−4i1111-1-1-1-1-1-1-11111−555−55−5−55i5−i5−i5i5−i5i5i5−i5ii−i−i−i−iii0000000000000000000000000000000000000000
χ894-4-44-4-4444-44-44i4i−4i−4i-144-4-44i4i−4i−4i-1-111-111-1-111-1-111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii0000000000000000000000000000000000000000
χ904-4-44-4-4444-44-44i4i−4i−4i-1-4-444−4i−4i4i4i-1-111-111-1-111-1-111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i0000000000000000000000000000000000000000
χ914-4-44-4-4444-44-4−4i−4i4i4i-144-4-4−4i−4i4i4i-1-111-111-1-111-1-111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i0000000000000000000000000000000000000000
χ924-4-44-4-4444-44-4−4i−4i4i4i-1-4-4444i4i−4i−4i-1-111-111-1-111-1-111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii0000000000000000000000000000000000000000
χ934-4-44-4-444-44-444-4-44-1000000001111-1-1-11111-1-1-1-1-1-11111-1-15−55−5−55−555−55−5−55−550000000000000000000000000000000000000000
χ944-4-44-4-444-44-444-4-44-1000000001111-1-1-11111-1-1-1-1-1-11111-1-1−55−555−55−5−55−555−55−50000000000000000000000000000000000000000
χ954-4-44-4-444-44-44-444-4-1000000001111-1-1-11111-1-1-1-111-1-1-1-1115−55−5−55−55−55−555−55−50000000000000000000000000000000000000000
χ964-4-44-4-444-44-44-444-4-1000000001111-1-1-11111-1-1-1-111-1-1-1-111−55−555−55−55−55−5−55−550000000000000000000000000000000000000000
χ9788-8-88i−8i8i−8i00000000-20000000025−25-22225−252i5−2i5−2i2i−2i2i2i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ9888-8-88i−8i8i−8i00000000-200000000−2525-222−2525−2i52i5−2i2i−2i2i−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8−8i8i−8i8i00000000-20000000025−25-22225−25−2i52i52i−2i2i−2i−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8−8i8i−8i8i00000000-200000000−2525-222−25252i5−2i52i−2i2i−2i2i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1018-88-88i−8i−8i8i00000000-20000000025−252-22−2525−2i52i5−2i2i2i−2i2i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1028-88-88i−8i−8i8i00000000-200000000−25252-2225−252i5−2i5−2i2i2i−2i−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8−8i8i8i−8i00000000-20000000025−252-22−25252i5−2i52i−2i−2i2i−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8−8i8i8i−8i00000000-200000000−25252-2225−25−2i52i52i−2i−2i2i2i5−2i50000000000000000000000000000000000000000000000000000000000000000

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