Finite Group Databasebeta

← Group #13021978

Character table — Group #13021978

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222444444444444444444444444444488888888888888888888888810101010101010101010101010101010202020202020202040404040404040404040404040404040
order12224444224444444444444451010101010101020202020202020202020202020202020202020202020202020202020202020202222444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−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−iiiii−i−i−i−iiiii
χ51111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii
χ12111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i
χ13111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111
χ14111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-1-1
χ15111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ1711-1-111-1-11-11-1ii−i−i11-1-1ii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-11-11111-1-1-1-11-1ii−i−iii−i−i1-1i−i1-1i−i1-1i−i1-1i−i
χ1811-1-111-1-11-11-1ii−i−i11-1-1ii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-11-11111-1-1-1-11-1ii−i−iii−i−i-11−ii-11−ii-11−ii-11−ii
χ1911-1-111-1-11-11-1ii−i−i11-1-1ii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11-11-1-1-1-11111-11−i−iii−i−iiii−i-11−ii1-1i−i-11−ii1-1
χ2011-1-111-1-11-11-1ii−i−i11-1-1ii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11-11-1-1-1-11111-11−i−iii−i−iii−ii1-1i−i-11−ii1-1i−i-11
χ2111-1-111-1-11-11-1ii−i−i-1-111−i−iii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-11-11-1-1-1-1-111111-1ii−i−i−i−iii1-1i−i1-1i−i-11−ii-11−ii
χ2211-1-111-1-11-11-1ii−i−i-1-111−i−iii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-11-11-1-1-1-1-111111-1ii−i−i−i−iii-11−ii-11−ii1-1i−i1-1i−i
χ2311-1-111-1-11-11-1ii−i−i-1-111−i−iii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11-11-111111-1-1-1-1-11−i−iiiii−i−ii−i-11−ii1-1−ii1-1i−i-11
χ2411-1-111-1-11-11-1ii−i−i-1-111−i−iii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11-11-111111-1-1-1-1-11−i−iiiii−i−i−ii1-1i−i-11i−i-11−ii1-1
χ2511-1-111-1-11-11-1−i−iii11-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-11-11-11111-1-1-1-11-1−i−iii−i−iii1-1−ii1-1−ii1-1−ii1-1−ii
χ2611-1-111-1-11-11-1−i−iii11-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-11-11-11111-1-1-1-11-1−i−iii−i−iii-11i−i-11i−i-11i−i-11i−i
χ2711-1-111-1-11-11-1−i−iii11-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11-11-11-1-1-1-11111-11ii−i−iii−i−ii−i1-1−ii-11i−i1-1−ii-11
χ2811-1-111-1-11-11-1−i−iii11-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11-11-11-1-1-1-11111-11ii−i−iii−i−i−ii-11i−i1-1−ii-11i−i1-1
χ2911-1-111-1-11-11-1−i−iii-1-111ii−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-11-11-1-1-1-1-111111-1−i−iiiii−i−i1-1−ii1-1−ii-11i−i-11i−i
χ3011-1-111-1-11-11-1−i−iii-1-111ii−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-11-11-1-1-1-1-111111-1−i−iiiii−i−i-11i−i-11i−i1-1−ii1-1−ii
χ3111-1-111-1-11-11-1−i−iii-1-111ii−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11-11-111111-1-1-1-1-11ii−i−i−i−iiii−i1-1−ii-11−ii-11i−i1-1
χ3211-1-111-1-11-11-1−i−iii-1-111ii−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11-11-111111-1-1-1-1-11ii−i−i−i−iii−ii-11i−i1-1i−i1-1−ii-11
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χ3522222222-2-2-2-200000000−2i2i−2i2i22-2-222-2-222-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i2-2-222-200000000-220000−2i2i−2i2i0000000000000000
χ3622222222-2-2-2-200000000−2i2i−2i2i22-2-222-2-222-2-222-2-20000000000000000−2i−2i2i2i−2i−2i2i2i-222-2-22000000002-200002i−2i2i−2i0000000000000000
χ372222-2-2-2-222-2-22-22-20000000022222222-2-2-2-2-2-2-2-222-2-222-2-200000000000000002222-2-200000000-2-22-22-200000000000000000000
χ382222-2-2-2-222-2-22-22-20000000022222222-2-2-2-2-2-2-2-222-2-222-2-20000000000000000-2-2-2-2220000000022-22-2200000000000000000000
χ392222-2-2-2-222-2-2-22-220000000022222222-2-2-2-2-2-2-2-2-2-222-2-22200000000000000002222-2-200000000-2-2-22-2200000000000000000000
χ402222-2-2-2-222-2-2-22-220000000022222222-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000-2-2-2-22200000000222-22-200000000000000000000
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χ442222-2-2-2-2-2-2220000−2i2i−2i2i000022-2-222-2-2-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i00000000-222-22-22i2i−2i−2i2i2i−2i−2i-22000000000000000000000000
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χ4622-2-222-2-2-22-22000000002-2-2222-2-2-2-22222-2-2-2-222000000000000000022-2-2-2-222-2-222-2-200000000220000-222-20000000000000000
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χ8544-4-4-4-444-444-400004i−4i−4i4i0000-1-11111-1-111-1-1-1-111i5−i5−i5i5−i5i5i5−i5−i−iiiii−i−i−555−55−5−550000000000000000000000000000000000000000
χ8644-4-4-4-444-444-400004i−4i−4i4i0000-1-11111-1-111-1-1-1-111−i5i5i5−i5i5−i5−i5i5−i−iiiii−i−i5−5−55−555−50000000000000000000000000000000000000000
χ8744-4-4-4-444-444-40000−4i4i4i−4i0000-1-11111-1-111-1-1-1-111i5−i5−i5i5−i5i5i5−i5ii−i−i−i−iii5−5−55−555−50000000000000000000000000000000000000000
χ8844-4-4-4-444-444-40000−4i4i4i−4i0000-1-11111-1-111-1-1-1-111−i5i5i5−i5i5−i5−i5i5ii−i−i−i−iii−555−55−5−550000000000000000000000000000000000000000
χ894-44-44i−4i4i−4i00000000000000004-4004-4004i−4i004i−4i000000000000000000000000000000002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i00000000000000000000000000
χ904-44-44i−4i4i−4i00000000000000004-4004-4004i−4i004i−4i00000000000000000000000000000000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i00000000000000000000000000
χ914-44-4−4i4i−4i4i00000000000000004-4004-400−4i4i00−4i4i000000000000000000000000000000002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i00000000000000000000000000
χ924-44-4−4i4i−4i4i00000000000000004-4004-400−4i4i00−4i4i00000000000000000000000000000000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i00000000000000000000000000
χ934-4-444i−4i−4i4i00000000000000004-400-44004i−4i00−4i4i000000000000000000000000000000002+2i−2−2i2−2i−2+2i−2−2i2+2i−2+2i2−2i00000000000000000000000000
χ944-4-444i−4i−4i4i00000000000000004-400-44004i−4i00−4i4i00000000000000000000000000000000−2−2i2+2i−2+2i2−2i2+2i−2−2i2−2i−2+2i00000000000000000000000000
χ954-4-44−4i4i4i−4i00000000000000004-400-4400−4i4i004i−4i000000000000000000000000000000002−2i−2+2i2+2i−2−2i−2+2i2−2i−2−2i2+2i00000000000000000000000000
χ964-4-44−4i4i4i−4i00000000000000004-400-4400−4i4i004i−4i00000000000000000000000000000000−2+2i2−2i−2−2i2+2i2−2i−2+2i2+2i−2−2i00000000000000000000000000
χ978-88-88i−8i8i−8i0000000000000000-2225−25-2225−25−2i2i2i5−2i5−2i2i2i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ988-88-88i−8i8i−8i0000000000000000-22−2525-22−2525−2i2i−2i52i5−2i2i−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ998-88-8−8i8i−8i8i0000000000000000-2225−25-2225−252i−2i−2i52i52i−2i−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8−8i8i−8i8i0000000000000000-22−2525-22−25252i−2i2i5−2i52i−2i2i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888i−8i−8i8i0000000000000000-2225−252-2−2525−2i2i2i5−2i52i−2i−2i52i50000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888i−8i−8i8i0000000000000000-22−25252-225−25−2i2i−2i52i52i−2i2i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88−8i8i8i−8i0000000000000000-2225−252-2−25252i−2i−2i52i5−2i2i2i5−2i50000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88−8i8i8i−8i0000000000000000-22−25252-225−252i−2i2i5−2i5−2i2i−2i52i50000000000000000000000000000000000000000000000000000000000000000

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