Finite Group Databasebeta

← Group #72221554

Character table — Group #72221554

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1111224444444455555555888810101010161616161616161620202020202020202020202020202020252525254040404040404040404040404040404040404040505050505050505050505050505050505050100100100100100100100100
order12442455101020202020222244441010202022445101010202020204444888810101010202020202244101020202020202020202020404040404040404024444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ51111111111111111-1-1-1-11111111-11-111111111ii−i−i111111-1-1-1-111-1-1-1-11-11-1iiii−i−i−i−i11111111-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−i-1-1-1-1
χ61111111111111111-1-1-1-11111111-11-111111111ii−i−i-1-1-1-111-1-1-1-111-1-1-1-11-11-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−i1111
χ71111111111111111-1-1-1-11111111-11-111111111−i−iii111111-1-1-1-111-1-1-1-11-11-1−i−i−i−iiiii11111111-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii-1-1-1-1
χ81111111111111111-1-1-1-11111111-11-111111111−i−iii-1-1-1-111-1-1-1-111-1-1-1-11-11-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii1111
χ911111111111111-1-11111-1-11111-11-11111111111111ii−i−i-1-11111-1-1-1-1-1-1-11-1111111111iiii−i−i−i−i-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1ii−i−i
χ1011111111111111-1-11111-1-11111-11-11111111111111−i−iii-1-11111-1-1-1-1-1-1-11-1111111111−i−i−i−iiiii-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1−i−iii
χ1111111111111111-1-11111-1-11111-11-1111111111-1-1-1-1ii−i−i-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1−i−i−i−iiiii−i−i−i−iiiii1111ii−i−i
χ1211111111111111-1-11111-1-11111-11-1111111111-1-1-1-1−i−iii-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1iiii−i−i−i−iiiii−i−i−i−i1111−i−iii
χ1311111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111ii−i−iii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111111111-1-1-1-1−i−iii−i−iii
χ1411111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111ii−i−i−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ1511111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−iiiii−i−i-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ1611111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−iii−i−iii-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111111111-1-1-1-1ii−i−iii−i−i
χ1711-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1111-1-11-11-1i−ii−i1111-1-1-1-111-1-1-1-11111-1-111-1-1ii−i−iii−i−i-11ii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−i
χ1811-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1111-1-11-11-1−ii−ii1111-1-1-1-111-1-1-1-11111-1-111-1-1−i−iii−i−iii-11−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii
χ1911-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1111-1-1-11-11i−ii−i1111-1-1-1-111-1-1-1-111-1-111-1-111ii−i−iii−i−i-11−i−iii−i−iii−i−iii−i−iii-11-11i−ii−i
χ2011-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1111-1-1-11-11−ii−ii1111-1-1-1-111-1-1-1-111-1-111-1-111−i−iii−i−iii-11ii−i−iii−i−iii−i−iii−i−i-11-11−ii−ii
χ2111-1-1-111111-1-1-1-111-1-111-1-1-1-111-111-11-1-1111-1-1i−i−iii−ii−i11-1-111-1-1-1-111-111-1ii−i−i−i−iiiii−i−iii−i−i1-1-1-111-1-11111-1-111-1-1i−i−ii−ii−ii
χ2211-1-1-111111-1-1-1-111-1-111-1-1-1-111-111-11-1-1111-1-1i−i−ii−ii−ii11-1-111-1-1-1-111-111-1ii−i−i−i−iii−i−iii−i−iii1-111-1-111-1-1-1-111-1-111i−i−iii−ii−i
χ2311-1-1-111111-1-1-1-111-1-111-1-1-1-111-111-11-1-1111-1-1−iii−ii−ii−i11-1-111-1-1-1-111-111-1−i−iiiii−i−iii−i−iii−i−i1-111-1-111-1-1-1-111-1-111−iii−i−ii−ii
χ2411-1-1-111111-1-1-1-111-1-111-1-1-1-111-111-11-1-1111-1-1−iii−i−ii−ii11-1-111-1-1-1-111-111-1−i−iiiii−i−i−i−iii−i−iii1-1-1-111-1-11111-1-111-1-1−iii−ii−ii−i
χ2511-1-1-111111-1-1-1-1-1-111-1-111-1-1111-1-111-1-1111-1-11-11-11-1-11-1-111-1-111-1-1111-1-1111-1-111-1-111-1-1-1-1111-111-1-1-1-11111-1-1-1-111-11-111-1-11
χ2611-1-1-111111-1-1-1-1-1-111-1-111-1-1111-1-111-1-1111-1-11-11-1-111-1-1-111-1-111-1-1111-1-1111-1-111-1-1-1-11111-1-11-1-1-11111-1-1-1-11111-1-1-11-11-111-1
χ2711-1-1-111111-1-1-1-1-1-111-1-111-1-1111-1-111-1-1111-1-1-11-111-1-11-1-111-1-111-1-1111-1-11-1-111-1-11111-1-1-1-1111-1-1-11111-1-1-1-11111-1-11-11-11-1-11
χ2811-1-1-111111-1-1-1-1-1-111-1-111-1-1111-1-111-1-1111-1-1-11-11-111-1-1-111-1-111-1-1111-1-11-1-111-1-111-1-11111-1-11-111-1-1-1-11111-1-1-1-1111-11-1-111-1
χ2911-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1111-1-1i−i−ii1-1-11-1-1-1-1111111-1-111-1-1ii−i−i−i−iii11-1-1-1-111-11ii−i−i−i−iii−i−iiiii−i−i−iii−i-111-1
χ3011-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1111-1-1i−i−ii-111-1-1-1-1-1111111-1-111-1-1ii−i−i−i−iii-1-11111-1-1-11−i−iiiii−i−iii−i−i−i−iii−iii−i1-1-11
χ3111-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1111-1-1−iii−i1-1-11-1-1-1-1111111-1-111-1-1−i−iiiii−i−i11-1-1-1-111-11−i−iiiii−i−iii−i−i−i−iiii−i−ii-111-1
χ3211-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-1-11-1-1111-1-1−iii−i-111-1-1-1-1-1111111-1-111-1-1−i−iiiii−i−i-1-11111-1-1-11ii−i−i−i−iii−i−iiiii−i−ii−i−ii1-1-11
χ332222-2-22222222222222222-2-2-2-2-2-2-2-22-2-22-2-22200000000222222222222-2-2-2-20000000000000000-2-2000000000000000000000000
χ342222-2-22222222222-2-2-2-222-2-2-2-2-22-222-2-22-2-2220000000022-2-2-2-222-2-2-2-2-22-22000000000000000022000000000000000000000000
χ352222-2-222222222-2-22222-2-2-2-2-2-22-22-22-2-22-2-22200000000-2-22222-2-2-2-2-2-22-22-2000000000000000022000000000000000000000000
χ362222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222222-2-22-2-22200000000-2-2-2-2-2-2-2-2222222220000000000000000-2-2000000000000000000000000
χ3722-2-22-22222-2-2-2-22222-2-2-2-222-2-222-2-22222-2-2-2-2000000002222-2-2-2-222-2-222-2-200000000000000002-2000000000000000000000000
χ3822-2-22-22222-2-2-2-222-2-222-2-222-2-22-2-222222-2-2-2-20000000022-2-222-2-2-2-2222-2-220000000000000000-22000000000000000000000000
χ3922-2-22-22222-2-2-2-2-2-222-2-22222-2-2-222-22222-2-2-2-200000000-2-222-2-222-2-222-222-20000000000000000-22000000000000000000000000
χ4022-2-22-22222-2-2-2-2-2-2-2-2222222-2-2-2-2222222-2-2-2-200000000-2-2-2-2222222-2-2-2-22200000000000000002-2000000000000000000000000
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χ422-22i−2i0022-2-22i2i−2i−2i2-22-22i−2i2i−2i00000000200-2002i−2i000000002-22-22i−2i2i−2i2-22i−2i0000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i−1−i1+i−1+i1−i00000000
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χ442-22i−2i0022-2-22i2i−2i−2i2-2-22−2i2i2i−2i00000000200-2002i−2i000000002-2-22−2i2i2i−2i-22−2i2i0000000000000000000000−1+i1−i1+i−1−i−1+i1−i1+i−1−i1−i−1+i−1−i1+i1−i−1+i−1−i1+i00000000
χ452-22i−2i0022-2-22i2i−2i−2i-222-22i−2i−2i2i00000000200-2002i−2i00000000-222-22i−2i−2i2i-22−2i2i00000000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i1−i−1+i−1−i1+i−1+i1−i1+i−1−i00000000
χ462-22i−2i0022-2-22i2i−2i−2i-222-22i−2i−2i2i00000000200-2002i−2i00000000-222-22i−2i−2i2i-22−2i2i0000000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i−1+i1−i1+i−1−i1−i−1+i−1−i1+i00000000
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χ482-22i−2i0022-2-22i2i−2i−2i-22-22−2i2i−2i2i00000000200-2002i−2i00000000-22-22−2i2i−2i2i2-22i−2i0000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i1+i−1−i1−i−1+i−1−i1+i−1+i1−i00000000
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χ594444444-14-14-14-100-4-4-4-4004-14-10-40-4-1-1-1-1-1-1-1-14i4i−4i−4i00000011110000000101−i−i−i−iiiii0000000000000000000000000000000000
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χ61444444-14-14-14-1444000044-14-144040-1-1-1-1-1-1-1-100004444-1-10000-1-10000-10-1000000000-1-1-1-1-1-1-1-100000000000000000000000000
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χ7644-4-44-44-14-1-41-4100-4-444004-1-410-404-1-1-1-11111000000000011-1-1000000010-1−i5i5i5−i5i5−i5−i5i50000000000000000000000000000000000
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χ8244-4-4-444-14-1-41-410044-4-400-414-10-404-111-1-1-111-44-44000000-1-111000000010-111-1-111-1-10000000000000000000000000000000000
χ8344-4-4-444-14-1-41-4100-4-44400-414-1040-4-111-1-1-1114i−4i−4i4i00000011-1-10000000-101−i−iiiii−i−i0000000000000000000000000000000000
χ8444-4-4-444-14-1-41-4100-4-44400-414-1040-4-111-1-1-111−4i4i4i−4i00000011-1-10000000-101ii−i−i−i−iii0000000000000000000000000000000000
χ8544-4-4-44-14-141-41-4440000-4-41-4-14-4040-111-1-1-11100004i−4i4i−4i-1-1000011000010-1000000000−i−iii−i−iii00000000000000000000000000
χ8644-4-4-44-14-141-41-4440000-4-41-4-14-4040-111-1-1-1110000−4i4i−4i4i-1-1000011000010-1000000000ii−i−iii−i−i00000000000000000000000000
χ8744-4-4-44-14-141-41-4-4-40000441-4-1440-40-111-1-1-11100004-4-44110000-1-10000-101000000000-1-11111-1-100000000000000000000000000
χ8844-4-4-44-14-141-41-4-4-40000441-4-1440-40-111-1-1-1110000-444-4110000-1-10000-10100000000011-1-1-1-11100000000000000000000000000
χ898-88i−8i008-2-828i−2i−8i2i008-88i−8i0000000000-200200−2i2i0000000000-22−2i2i0000000000000000000000000000000000000000000000000000
χ908-88i−8i008-2-828i−2i−8i2i00-88−8i8i0000000000-200200−2i2i00000000002-22i−2i0000000000000000000000000000000000000000000000000000
χ918-88i−8i00-282-8−2i8i2i−8i8-800008i−8i00000000-200200−2i2i00000000-220000−2i2i00000000000000000000000000000000000000000000000000
χ928-88i−8i00-282-8−2i8i2i−8i-880000−8i8i00000000-200200−2i2i000000002-200002i−2i00000000000000000000000000000000000000000000000000
χ938-8−8i8i008-2-82−8i2i8i−2i008-8−8i8i0000000000-2002002i−2i0000000000-222i−2i0000000000000000000000000000000000000000000000000000
χ948-8−8i8i008-2-82−8i2i8i−2i00-888i−8i0000000000-2002002i−2i00000000002-2−2i2i0000000000000000000000000000000000000000000000000000
χ958-8−8i8i00-282-82i−8i−2i8i8-80000−8i8i00000000-2002002i−2i00000000-2200002i−2i00000000000000000000000000000000000000000000000000
χ968-8−8i8i00-282-82i−8i−2i8i-8800008i−8i00000000-2002002i−2i000000002-20000−2i2i00000000000000000000000000000000000000000000000000
χ97161616161616-4-4-4-4-4-4-4-400000000-4-4-4-4000011111111000000000000000000000000000000000000000000000000000000000000000000
χ9816161616-16-16-4-4-4-4-4-4-4-400000000444400001-1-11-1-111000000000000000000000000000000000000000000000000000000000000000000
χ991616-16-1616-16-4-4-4-4444400000000-4-44400001111-1-1-1-1000000000000000000000000000000000000000000000000000000000000000000
χ1001616-16-16-1616-4-4-4-444440000000044-4-400001-1-1111-1-1000000000000000000000000000000000000000000000000000000000000000000
χ10116-1616i−16i00-4-444−4i−4i4i4i000000000000000015-5-15i−5ii−i000000000000000000000000000000000000000000000000000000000000000000
χ10216-1616i−16i00-4-444−4i−4i4i4i00000000000000001-55-1−5i5ii−i000000000000000000000000000000000000000000000000000000000000000000
χ10316-16−16i16i00-4-4444i4i−4i−4i000000000000000015-5-1−5i5i−ii000000000000000000000000000000000000000000000000000000000000000000
χ10416-16−16i16i00-4-4444i4i−4i−4i00000000000000001-55-15i−5i−ii000000000000000000000000000000000000000000000000000000000000000000

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