Finite Group Databasebeta

← Group #14294674

Character table — Group #14294674

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222444444445555666688888888888810101010101012121212121216161616161620202020202020202020202020202020202020202424242424243030303040404040404060606060606060606060
order1244234612125688101220202244224410152024243040404040606024661212881010202030601201201201206888888888812242424242424242410204040404022442424242424248888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111-1-1-1ii−i−iii−i−i-1iiii−i−i−i−i111111-1-1-1-1-1-1ii−i−i-1-1ii−i−iii−i−i
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1111111111111-1-1-1−i−iii−i−iii-1−i−i−i−iiiii111111-1-1-1-1-1-1−i−iii-1-1−i−iii−i−iii
χ7111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1ii−i−iii−i−i-1iiii−i−i−i−i-1-1-1-1-1-11111-1-1ii−i−i11−i−iii−i−iii
χ8111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1−i−iii−i−iii-1−i−i−i−iiiii-1-1-1-1-1-11111-1-1−i−iii11ii−i−iii−i−i
χ9111111111111-1-1111111111111111-1-11-1-1-1-111111111-1-1111111-1-1-1-11-1-11111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-1
χ10111111111111-1-1111111111111111-1-11-1-1-1-111111111-1-1111111-1-1-1-11-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111111111-1-111111111-1-1-1-1111-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-11-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111
χ12111111111111-1-111111111-1-1-1-1111-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ13111111111111-1-11111-1-1-1-11111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111ii−i−i−i−iii-1−i−i−i−iiiii11-1-1-1-1-1-1-1-111ii−i−i11ii−i−i−i−iii
χ14111111111111-1-11111-1-1-1-11111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111−i−iiiii−i−i-1iiii−i−i−i−i11-1-1-1-1-1-1-1-111−i−iii11−i−iiiii−i−i
χ15111111111111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111ii−i−i−i−iii-1−i−i−i−iiiii-1-11111111111ii−i−i-1-1−i−iiiii−i−i
χ16111111111111-1-11111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111−i−iiiii−i−i-1iiii−i−i−i−i-1-11111111111−i−iii-1-1ii−i−i−i−iii
χ1711-1-1-1111-1-11-1i−i11-1-111-1-11-11-1-111i−i1ii−i−i-1-1-1111-1-1i−i11-1-1-11ii−i−i-1i−ii−ii−i1-11-1111-1-111-1-1-11ii−i−i1-11-1i−ii−ii−ii−ii−ii−i1-11-1
χ1811-1-1-1111-1-11-1i−i11-1-111-1-11-11-1-111i−i1ii−i−i-1-1-1111-1-1i−i11-1-1-11ii−i−i-1i−i−ii−ii-11-111-1-111-1-111-11ii−i−i1-11-1i−i−ii−iii−i−ii−ii-11-11
χ1911-1-1-1111-1-11-1i−i11-1-111-1-1-11-11-111i−i1ii−i−i-1-1-1111-1-1−ii-1-111-11ii−i−i-1i−ii−ii−i1-11-1111-1-111-1-11-1−i−iii-11-11i−ii−ii−i−ii−ii−ii-11-11
χ2011-1-1-1111-1-11-1i−i11-1-111-1-1-11-11-111i−i1ii−i−i-1-1-1111-1-1−ii-1-111-11ii−i−i-1i−i−ii−ii-11-111-1-111-1-1111-1−i−iii-11-11i−i−ii−ii−iii−ii−i1-11-1
χ2111-1-1-1111-1-11-1i−i11-1-1-1-1111-11-1-111i−i1ii−i−i-1-11-1-1-111i−i11-1-1-11ii−i−i1−ii1-1-11−iii−i-1−i−iiiii−i−i-11ii−i−i-11-11−ii1-1-11−ii1-1-11−iii−i
χ2211-1-1-1111-1-11-1i−i11-1-1-1-1111-11-1-111i−i1ii−i−i-1-11-1-1-111i−i11-1-1-11ii−i−i1−ii-111-1i−i−ii-1ii−i−i−i−iii-11ii−i−i-11-11−ii-111-1−ii-111-1i−i−ii
χ2311-1-1-1111-1-11-1i−i11-1-1-1-111-11-11-111i−i1ii−i−i-1-11-1-1-111−ii-1-111-11ii−i−i1−ii1-1-11−iii−i-1−i−iiiii−i−i1-1−i−iii1-11-1−ii1-1-11i−i-111-1i−i−ii
χ2411-1-1-1111-1-11-1i−i11-1-1-1-111-11-11-111i−i1ii−i−i-1-11-1-1-111−ii-1-111-11ii−i−i1−ii-111-1i−i−ii-1ii−i−i−i−iii1-1−i−iii1-11-1−ii-111-1i−i1-1-11−iii−i
χ2511-1-1-1111-1-11-1−ii11-1-111-1-11-11-1-111−ii1−i−iii-1-1-1111-1-1−ii11-1-1-11−i−iii-1−iii−ii−i-11-111-1-111-1-111-11−i−iii1-11-1−iii−ii−i−iii−ii−i-11-11
χ2611-1-1-1111-1-11-1−ii11-1-111-1-11-11-1-111−ii1−i−iii-1-1-1111-1-1−ii11-1-1-11−i−iii-1−ii−ii−ii1-11-1111-1-111-1-1-11−i−iii1-11-1−ii−ii−ii−ii−ii−ii1-11-1
χ2711-1-1-1111-1-11-1−ii11-1-111-1-1-11-11-111−ii1−i−iii-1-1-1111-1-1i−i-1-111-11−i−iii-1−iii−ii−i-11-111-1-111-1-1111-1ii−i−i-11-11−iii−ii−ii−i−ii−ii1-11-1
χ2811-1-1-1111-1-11-1−ii11-1-111-1-1-11-11-111−ii1−i−iii-1-1-1111-1-1i−i-1-111-11−i−iii-1−ii−ii−ii1-11-1111-1-111-1-11-1ii−i−i-11-11−ii−ii−iii−ii−ii−i-11-11
χ2911-1-1-1111-1-11-1−ii11-1-1-1-1111-11-1-111−ii1−i−iii-1-11-1-1-111−ii11-1-1-11−i−iii1i−i1-1-11i−i−ii-1ii−i−i−i−iii-11−i−iii-11-11i−i1-1-11i−i1-1-11i−i−ii
χ3011-1-1-1111-1-11-1−ii11-1-1-1-1111-11-1-111−ii1−i−iii-1-11-1-1-111−ii11-1-1-11−i−iii1i−i-111-1−iii−i-1−i−iiiii−i−i-11−i−iii-11-11i−i-111-1i−i-111-1−iii−i
χ3111-1-1-1111-1-11-1−ii11-1-1-1-111-11-11-111−ii1−i−iii-1-11-1-1-111i−i-1-111-11−i−iii1i−i1-1-11i−i−ii-1ii−i−i−i−iii1-1ii−i−i1-11-1i−i1-1-11−ii-111-1−iii−i
χ3211-1-1-1111-1-11-1−ii11-1-1-1-111-11-11-111−ii1−i−iii-1-11-1-1-111i−i-1-111-11−i−iii1i−i-111-1−iii−i-1−i−iiiii−i−i1-1ii−i−i1-11-1i−i-111-1−ii1-1-11i−i−ii
χ3322222-12-1-1-12-1222-122222200002-12-1-1-12222-1-122-1-1-1-1000000-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-10000000000
χ3422222-12-1-1-12-1222-122222200002-12-1-1-12222-1-122-1-1-1-1000000-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1111111110000000000-1-111110000000000
χ3522222-12-1-1-12-1222-122-2-2-2-200002-12-1-1-12222-1-1-2-21111000000-1-1-1-1-1-11-2-22i2i−2i−2i2i2i−2i−2i1−i−i−i−iiiii000000000011−i−iii0000000000
χ3622222-12-1-1-12-1222-122-2-2-2-200002-12-1-1-12222-1-1-2-21111000000-1-1-1-1-1-11-2-2−2i−2i2i2i−2i−2i2i2i1iiii−i−i−i−i000000000011ii−i−i0000000000
χ3722222-12-1-1-12-1-2-22-122222200002-1211-1-2-2-2-2-1-122-1-1-1-1000000-1-11111-1-2-22222-2-2-2-2-111111111000000000011-1-1-1-10000000000
χ3822222-12-1-1-12-1-2-22-122222200002-1211-1-2-2-2-2-1-122-1-1-1-1000000-1-11111-1-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-100000000001111110000000000
χ3922222-12-1-1-12-1-2-22-122-2-2-2-200002-1211-1-2-2-2-2-1-1-2-21111000000-1-111111222i2i−2i−2i−2i−2i2i2i1iiii−i−i−i−i0000000000-1-1−i−iii0000000000
χ4022222-12-1-1-12-1-2-22-122-2-2-2-200002-1211-1-2-2-2-2-1-1-2-21111000000-1-11111122−2i−2i2i2i2i2i−2i−2i1−i−i−i−iiiii0000000000-1-1ii−i−i0000000000
χ412222-22-22222-2002-22222222-2-22-22-2002000022-2-22222002222-2-20000-20000000000-200000000-2-200002-2-220000000000000000
χ422222-22-22222-2002-2222222-222-2-22-2002000022-2-2222200-2-2-2-2-2-20000-20000000000-200000000220000-222-20000000000000000
χ432222-22-22222-2002-222-2-2-2-22-2-22-22-200200002222-2-2-2-2002222-2-2000020000000000200000000-2-20000-222-20000000000000000
χ442222-22-22222-2002-222-2-2-2-2-222-2-22-200200002222-2-2-2-200-2-2-2-2-2-20000200000000002000000002200002-2-220000000000000000
χ4522-2-222-22-2-222002-2-2-222-2-222-2-222-20020000-2-22-222-2-20022-2-22-2000020000000000-2000000002-2000022-2-20000000000000000
χ4622-2-222-22-2-222002-2-2-222-2-2-2-22222-20020000-2-22-222-2-200-2-2222-2000020000000000-200000000-220000-2-2220000000000000000
χ4722-2-222-22-2-222002-2-2-2-2-22222-2-222-20020000-2-2-22-2-2220022-2-22-20000-200000000002000000002-20000-2-2220000000000000000
χ4822-2-222-22-2-222002-2-2-2-2-222-2-22222-20020000-2-2-22-2-22200-2-2222-20000-20000000000200000000-22000022-2-20000000000000000
χ4922-2-2-2-12-111212i−2i2-1-2-222-2-20000-2-12−ii-12i2i−2i−2i11-22-1-1110000001-1−i−iii12i−2i2i−2i2i−2i2-22-2-1-1-111-1-1110000000000−ii−ii−ii0000000000
χ5022-2-2-2-12-111212i−2i2-1-2-222-2-20000-2-12−ii-12i2i−2i−2i11-22-1-1110000001-1−i−iii12i−2i−2i2i−2i2i-22-22-111-1-111-1-10000000000−iii−ii−i0000000000
χ5122-2-2-2-12-111212i−2i2-1-2-2-2-2220000-2-12−ii-12i2i−2i−2i112-211-1-10000001-1−i−iii-1−2i2i2-2-22−2i2i2i−2i1ii−i−i−i−iii0000000000i−i-111-10000000000
χ5222-2-2-2-12-111212i−2i2-1-2-2-2-2220000-2-12−ii-12i2i−2i−2i112-211-1-10000001-1−i−iii-1−2i2i-222-22i−2i−2i2i1−i−iiiii−i−i0000000000i−i1-1-110000000000
χ5322-2-2-2-12-11121−2i2i2-1-2-222-2-20000-2-12i−i-1−2i−2i2i2i11-22-1-1110000001-1ii−i−i1−2i2i2i−2i2i−2i-22-22-111-1-111-1-10000000000i−i−ii−ii0000000000
χ5422-2-2-2-12-11121−2i2i2-1-2-222-2-20000-2-12i−i-1−2i−2i2i2i11-22-1-1110000001-1ii−i−i1−2i2i−2i2i−2i2i2-22-2-1-1-111-1-1110000000000i−ii−ii−i0000000000
χ5522-2-2-2-12-11121−2i2i2-1-2-2-2-2220000-2-12i−i-1−2i−2i2i2i112-211-1-10000001-1ii−i−i-12i−2i2-2-222i−2i−2i2i1−i−iiiii−i−i0000000000−ii-111-10000000000
χ5622-2-2-2-12-11121−2i2i2-1-2-2-2-2220000-2-12i−i-1−2i−2i2i2i112-211-1-10000001-1ii−i−i-12i−2i-222-2−2i2i2i−2i1ii−i−i−i−iii0000000000−ii1-1-110000000000
χ574444444444-1444-14-1-100004444-1-1-144-1-1-1-1-1-1-100000044-1-1-1-1-1-1-1-1-1-100000000000000000000-1-1-1-1-1-100000000000000000000
χ584444444444-1444-14-1-10000-4-4-4-4-1-1-144-1-1-1-1-1-1-1000000-4-41111-1-1-1-1-1-10000000000000000000011111100000000000000000000
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χ9088888-48-4-4-4-2-4-8-8-2-4-2-200000000-21-244122221100000000000011-1-1-1-10000000000000000000000000000000000000000000000
χ918888-8-4-8-4-4-4-2400-24-2-200000000212001−2525−252511000000000000-1-15−55−50000000000000000000000000000000000000000000000
χ928888-8-4-8-4-4-4-2400-24-2-20000000021200125−2525−2511000000000000-1-1−55−550000000000000000000000000000000000000000000000
χ9388-8-88-4-8-444-2-400-242200000000-212001−2i52i52i5−2i5-1-10000000000001-1i5−i5−i5i50000000000000000000000000000000000000000000000
χ9488-8-88-4-8-444-2-400-242200000000-2120012i5−2i5−2i52i5-1-10000000000001-1−i5i5i5−i50000000000000000000000000000000000000000000000
χ9588-8-8-8-48-444-248i−8i-2-4220000000021-2−4i4i1−2i−2i2i2i-1-1000000000000-11ii−i−i0000000000000000000000000000000000000000000000
χ9688-8-8-8-48-444-24−8i8i-2-4220000000021-24i−4i12i2i−2i−2i-1-1000000000000-11−i−iii0000000000000000000000000000000000000000000000
χ978-88i−8i080-88i−8i-200020−2i2i000000000-200020000−2i2i00000000−2525−2i52i50000000000000000000000000000000000000000000000000000
χ988-88i−8i080-88i−8i-200020−2i2i000000000-200020000−2i2i0000000025−252i5−2i50000000000000000000000000000000000000000000000000000
χ998-8−8i8i080-8−8i8i-2000202i−2i000000000-2000200002i−2i00000000−25252i5−2i50000000000000000000000000000000000000000000000000000
χ1008-8−8i8i080-8−8i8i-2000202i−2i000000000-2000200002i−2i0000000025−25−2i52i50000000000000000000000000000000000000000000000000000
χ10116-1616i−16i0-808−8i8i-400040−4i4i0000000002000-200002i−2i0000000000000000000000000000000000000000000000000000000000000000
χ10216-16−16i16i0-8088i−8i-4000404i−4i0000000002000-20000−2i2i0000000000000000000000000000000000000000000000000000000000000000

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