Finite Group Databasebeta

← Group #13021975

Character table — Group #13021975

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111111122224444444444444444444444444444555555558888888888888888888888881010101020202020202020202020202040404040404040404040404040404040
order12222222444444445888888881010101010101020202020202020204444444420202020202020204040404040404040404040404040404022224444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ511111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-11-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-11-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ17111-1-11-1-11-11-1ii−i−i111-1-1ii−i−i11-1-11-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i1-1i−i1-1i−i1-1i−i1-1i−i
χ18111-1-11-1-11-11-1ii−i−i111-1-1ii−i−i11-1-11-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i-11−ii-11−ii-11−ii-11−ii
χ19111-1-11-1-11-11-1ii−i−i111-1-1ii−i−i11-1-11-1-111-1-111-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iiii−i-11i−i-11−ii1-1−ii1-1
χ20111-1-11-1-11-11-1ii−i−i111-1-1ii−i−i11-1-11-1-111-1-111-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii−ii1-1−ii1-1i−i-11i−i-11
χ21111-1-11-1-11-11-1ii−i−i1-1-111−i−iii11-1-11-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii1-1i−i-11−ii1-1i−i-11−ii
χ22111-1-11-1-11-11-1ii−i−i1-1-111−i−iii11-1-11-1-111-1-111-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii-11−ii1-1i−i-11−ii1-1i−i
χ23111-1-11-1-11-11-1ii−i−i1-1-111−i−iii11-1-11-1-111-1-111-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−ii−i-11−ii1-1−ii1-1i−i-11
χ24111-1-11-1-11-11-1ii−i−i1-1-111−i−iii11-1-11-1-111-1-111-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i−ii1-1i−i-11i−i-11−ii1-1
χ25111-1-11-1-11-11-1−i−iii111-1-1−i−iii11-1-11-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii1-1−ii1-1−ii1-1−ii1-1−ii
χ26111-1-11-1-11-11-1−i−iii111-1-1−i−iii11-1-11-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii-11i−i-11i−i-11i−i-11i−i
χ27111-1-11-1-11-11-1−i−iii111-1-1−i−iii11-1-11-1-111-1-111-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−ii−i1-1i−i1-1−ii-11−ii-11
χ28111-1-11-1-11-11-1−i−iii111-1-1−i−iii11-1-11-1-111-1-111-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i−ii-11−ii-11i−i1-1i−i1-1
χ29111-1-11-1-11-11-1−i−iii1-1-111ii−i−i11-1-11-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i1-1−ii-11i−i1-1−ii-11i−i
χ30111-1-11-1-11-11-1−i−iii1-1-111ii−i−i11-1-11-1-111-1-111-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i-11i−i1-1−ii-11i−i1-1−ii
χ31111-1-11-1-11-11-1−i−iii1-1-111ii−i−i11-1-11-1-111-1-111-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iiii−i1-1−ii-11−ii-11i−i1-1
χ32111-1-11-1-11-11-1−i−iii1-1-111ii−i−i11-1-11-1-111-1-111-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii−ii-11i−i1-1i−i1-1−ii-11
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χ3422222222-2-2-2-22-22-22000000002222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-200000000000000002222-22-22000000000000000000000000
χ3522222222-2-2-2-2-22-222000000002222222-2-2-2-2-2-2-2-222222222-2-222-2-2220000000000000000-2-2-2-2-22-22000000000000000000000000
χ3622222222-2-2-2-2-22-222000000002222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222000000000000000022222-22-2000000000000000000000000
χ37222-2-22-2-2-22-222i−2i−2i2i20000000022-2-22-2-2-2-222-2-2222222-2-2-2-22i2i−2i−2i−2i−2i2i2i0000000000000000-2-2222i−2i−2i2i000000000000000000000000
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χ864-4-4444-4-4-444-40000-100004i−4i4i−4i11-1-1-11111-1-1-1-11100000000−i5i5i5−i5−i5i5i5−i55−5−555−5−55−i−iii−i−iii00000000000000000000000000000000
χ874-4-4444-4-4-444-40000-10000−4i4i−4i4i11-1-1-11111-1-1-1-11100000000i5−i5−i5i5i5−i5−i5i55−5−555−5−55ii−i−iii−i−i00000000000000000000000000000000
χ884-4-4444-4-4-444-40000-10000−4i4i−4i4i11-1-1-11111-1-1-1-11100000000−i5i5i5−i5−i5i5i5−i5−555−5−555−5ii−i−iii−i−i00000000000000000000000000000000
χ894-4-4-4-444444-4-40000-14i−4i−4i4i00001111-1-1-1-1-1-1-11111000000005−55−5−55−55−i−iiiii−i−i−i5i5i5−i5i5−i5−i5i500000000000000000000000000000000
χ904-4-4-4-444444-4-40000-14i−4i−4i4i00001111-1-1-1-1-1-1-1111100000000−55−555−55−5−i−iiiii−i−ii5−i5−i5i5−i5i5i5−i500000000000000000000000000000000
χ914-4-4-4-444444-4-40000-1−4i4i4i−4i00001111-1-1-1-1-1-1-11111000000005−55−5−55−55ii−i−i−i−iiii5−i5−i5i5−i5i5i5−i500000000000000000000000000000000
χ924-4-4-4-444444-4-40000-1−4i4i4i−4i00001111-1-1-1-1-1-1-1111100000000−55−555−55−5ii−i−i−i−iii−i5i5i5−i5i5−i5−i5i500000000000000000000000000000000
χ934-4-4-4-4444-4-4440000-100004-4-441111-1-1-11111-1-1-1-1000000005−5−55−555−5−555−55−5−55-1-11111-1-100000000000000000000000000000000
χ944-4-4-4-4444-4-4440000-100004-4-441111-1-1-11111-1-1-1-100000000−555−55−5−555−5−55−555−5-1-11111-1-100000000000000000000000000000000
χ954-4-4-4-4444-4-4440000-10000-444-41111-1-1-11111-1-1-1-1000000005−5−55−555−55−5−55−555−511-1-1-1-11100000000000000000000000000000000
χ964-4-4-4-4444-4-4440000-10000-444-41111-1-1-11111-1-1-1-100000000−555−55−5−55−555−55−5−5511-1-1-1-11100000000000000000000000000000000
χ9788-88-8-88-800000000-200000000-22-222-222i5−2i52i5−2i52i5−2i52i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ9888-88-8-88-800000000-200000000-22-222-22−2i52i5−2i52i5−2i52i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ9988-8-88-8-8800000000-200000000-222-222-22i5−2i5−2i52i52i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ10088-8-88-8-8800000000-200000000-222-222-2−2i52i52i5−2i5−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1018-888-8-8-8800000000-2000000002-2-2222-22i5−2i5−2i52i5−2i52i52i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1028-888-8-8-8800000000-2000000002-2-2222-2−2i52i52i5−2i52i5−2i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-88-800000000-2000000002-22-22-222i5−2i52i5−2i5−2i52i5−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1048-88-88-88-800000000-2000000002-22-22-22−2i52i5−2i52i52i5−2i52i5−2i50000000000000000000000000000000000000000000000000000000000000000

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