Finite Group Databasebeta

← Group #72242522

Character table — Group #72242522

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122444444444455555555888888888888888888881010101016161616161616161616161620202020202020202020202025252525404040404040404040404040505050505050505050505050505050505050100100100100100100100100100100
order1222444455101010101010222222225510101010101020202020202020202020202044442020202020202020202020204444101010101010101022222020202020202020202020204488888888888888884444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111111111111111111111-1-111111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1iiii−i−i−i−i
χ411111111111111111111-1-1-1-11111111111111111111111-1-111111111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1−i−i−i−iiiii
χ51111111111111111-1-1-1-1111111111111111111111111-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1ii−i−iii−i−i
χ61111111111111111-1-1-1-1111111111111111111111111-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1−i−iii−i−iii
χ71111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-1
χ9111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ10111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i11−i−i−i−iiiii
χ12111111-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii11iiii−i−i−i−i
χ13111111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11−i−iii−i−iii
χ14111111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11ii−i−iii−i−i
χ15111111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ16111111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111
χ171-11-11-1i−i11-1-111-1-111-1-111-1-111-1-111-1-111-1-1iiii−i−i−i−i1-11-111-1-1iiii−i−i−i−ii−ii−i11-1-111-1-111-1-11-11-1ii−i−iii−i−i-1111-1-111-1-111-1-111-1-1i−ii−ii−ii−ii−i
χ181-11-11-1i−i11-1-111-1-111-1-111-1-111-1-111-1-111-1-1iiii−i−i−i−i1-11-111-1-1iiii−i−i−i−ii−ii−i11-1-111-1-111-1-11-11-1ii−i−iii−i−i-11-1-111-1-111-1-111-1-111i−i−ii−ii−ii−ii
χ191-11-11-1i−i11-1-111-1-111-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−i1-1-1111-1-1iiii−i−i−i−ii−i−ii11-1-1-1-111-1-1111-1-11ii−i−i−i−iii1-1ii−i−iii−i−i−i−iii−i−iii−ii-11-111-11-1
χ201-11-11-1i−i11-1-111-1-111-1-1-1-11111-1-111-1-111-1-1iiii−i−i−i−i1-1-1111-1-1iiii−i−i−i−ii−i−ii11-1-1-1-111-1-1111-1-11ii−i−i−i−iii1-1−i−iii−i−iiiii−i−iii−i−i−ii1-11-1-11-11
χ211-11-11-1i−i11-1-111-1-1-1-11111-1-111-1-111-1-111-1-1iiii−i−i−i−i-111-111-1-1iiii−i−i−i−i−iii−i-1-11111-1-1-1-111-111-1−i−iiiii−i−i1-1ii−i−i−i−iiiii−i−i−i−iii−ii-111-1-111-1
χ221-11-11-1i−i11-1-111-1-1-1-11111-1-111-1-111-1-111-1-1iiii−i−i−i−i-111-111-1-1iiii−i−i−i−i−iii−i-1-11111-1-1-1-111-111-1−i−iiiii−i−i1-1−i−iiiii−i−i−i−iiiii−i−i−ii1-1-111-1-11
χ231-11-11-1i−i11-1-111-1-1-1-111-1-11111-1-111-1-111-1-1iiii−i−i−i−i-11-1111-1-1iiii−i−i−i−i−ii−ii-1-111-1-11111-1-1-11-11−i−iii−i−iii-1111-1-1-1-111-1-11111-1-1i−ii−i−ii−iii−i
χ241-11-11-1i−i11-1-111-1-1-1-111-1-11111-1-111-1-111-1-1iiii−i−i−i−i-11-1111-1-1iiii−i−i−i−i−ii−ii-1-111-1-11111-1-1-11-11−i−iii−i−iii-11-1-11111-1-111-1-1-1-111i−i−iii−ii−i−ii
χ251-11-11-1−ii11-1-111-1-111-1-111-1-111-1-111-1-111-1-1−i−i−i−iiiii1-11-111-1-1−i−i−i−iiiii−ii−ii11-1-111-1-111-1-11-11-1−i−iii−i−iii-1111-1-111-1-111-1-111-1-1−ii−ii−ii−ii−ii
χ261-11-11-1−ii11-1-111-1-111-1-111-1-111-1-111-1-111-1-1−i−i−i−iiiii1-11-111-1-1−i−i−i−iiiii−ii−ii11-1-111-1-111-1-11-11-1−i−iii−i−iii-11-1-111-1-111-1-111-1-111−iii−ii−ii−ii−i
χ271-11-11-1−ii11-1-111-1-111-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii1-1-1111-1-1−i−i−i−iiiii−iii−i11-1-1-1-111-1-1111-1-11−i−iiiii−i−i1-1ii−i−iii−i−i−i−iii−i−iiii−i1-11-1-11-11
χ281-11-11-1−ii11-1-111-1-111-1-1-1-11111-1-111-1-111-1-1−i−i−i−iiiii1-1-1111-1-1−i−i−i−iiiii−iii−i11-1-1-1-111-1-1111-1-11−i−iiiii−i−i1-1−i−iii−i−iiiii−i−iii−i−ii−i-11-111-11-1
χ291-11-11-1−ii11-1-111-1-1-1-11111-1-111-1-111-1-111-1-1−i−i−i−iiiii-111-111-1-1−i−i−i−iiiiii−i−ii-1-11111-1-1-1-111-111-1ii−i−i−i−iii1-1ii−i−i−i−iiiii−i−i−i−iiii−i1-1-111-1-11
χ301-11-11-1−ii11-1-111-1-1-1-11111-1-111-1-111-1-111-1-1−i−i−i−iiiii-111-111-1-1−i−i−i−iiiiii−i−ii-1-11111-1-1-1-111-111-1ii−i−i−i−iii1-1−i−iiiii−i−i−i−iiiii−i−ii−i-111-1-111-1
χ311-11-11-1−ii11-1-111-1-1-1-111-1-11111-1-111-1-111-1-1−i−i−i−iiiii-11-1111-1-1−i−i−i−iiiiii−ii−i-1-111-1-11111-1-1-11-11ii−i−iii−i−i-1111-1-1-1-111-1-11111-1-1−ii−iii−ii−i−ii
χ321-11-11-1−ii11-1-111-1-1-1-111-1-11111-1-111-1-111-1-1−i−i−i−iiiii-11-1111-1-1−i−i−i−iiiiii−ii−i-1-111-1-11111-1-1-11-11ii−i−iii−i−i-11-1-11111-1-111-1-1-1-111−iii−i−ii−iii−i
χ332222-2-200222222222222222222222222-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000222222222222-2-2-2-200000000-2-200000000000000000000000000
χ342222-2-200222222222222-2-2-2-222222222-2-2-2-200000000-2-222-2-2-2-20000000000002222-2-2-2-2-2-2-2-2-2-222000000002200000000000000000000000000
χ352222-2-20022222222-2-2-2-2222222222222-2-2-2-20000000022-2-2-2-2-2-2000000000000-2-2-2-22222-2-2-2-222-2-2000000002200000000000000000000000000
χ362222-2-20022222222-2-2-2-2-2-2-2-222222222-2-2-2-2000000002222-2-2-2-2000000000000-2-2-2-2-2-2-2-22222222200000000-2-200000000000000000000000000
χ3722-2-200002222-2-2-2-22-22-22-22-22222-2-2-2-2000000000000000000000000000000002-22-22-22-22-22-2000000000000002−22−22−22−22−22−22−22−20000000000
χ3822-2-200002222-2-2-2-22-22-22-22-22222-2-2-2-2000000000000000000000000000000002-22-22-22-22-22-200000000000000−22−22−22−22−22−22−22−220000000000
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χ4022-2-200002222-2-2-2-22-22-2-22-222222-2-2-2-2000000000000000000000000000000002-22-2-22-22-22-2200000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000
χ4122-2-200002222-2-2-2-2-22-222-22-22222-2-2-2-200000000000000000000000000000000-22-222-22-2-22-2200000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000
χ4222-2-200002222-2-2-2-2-22-222-22-22222-2-2-2-200000000000000000000000000000000-22-222-22-2-22-2200000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000
χ4322-2-200002222-2-2-2-2-22-22-22-222222-2-2-2-200000000000000000000000000000000-22-22-22-222-22-2000000000000002−22−2−22−22−22−222−22−20000000000
χ4422-2-200002222-2-2-2-2-22-22-22-222222-2-2-2-200000000000000000000000000000000-22-22-22-222-22-200000000000000−22−222−22−22−22−2−22−220000000000
χ452-22-2-220022-2-222-2-222-2-222-2-222-2-222-2-2-2-22200000000-22-22-2-22200000000000022-2-222-2-222-2-2-22-22000000002-200000000000000000000000000
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χ472-22-2-220022-2-222-2-2-2-22222-2-222-2-222-2-2-2-222000000002-2-22-2-222000000000000-2-22222-2-2-2-2222-2-2200000000-2200000000000000000000000000
χ482-22-2-220022-2-222-2-2-2-222-2-22222-2-222-2-2-2-222000000002-22-2-2-222000000000000-2-222-2-22222-2-22-22-2000000002-200000000000000000000000000
χ492-2-22000022-2-2-2-2222-2-222-2-2222-2-2-2-222000000000000000000000000000000002-2-222-2-222-2-22000000000000002−2−222−2−222−2−222−2−220000000000
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χ824-44-4-44004-1-414-1-41000044-4-4-1-111-1-111-414-100−i5i500i5−i500-4411-1-1−i5−i5i5i5i5i5−i5−i500000000-1-1110000001-10000−i5i5i5−i50000000000000000000000000000
χ834-44-4-44004-1-414-1-410000-4-444-1-111-1-111-414-100i5−i500−i5i5004-411-1-1i5i5−i5−i5−i5−i5i5i50000000011-1-1000000-110000−i5i5i5−i50000000000000000000000000000
χ844-44-4-44004-1-414-1-410000-4-444-1-111-1-111-414-100−i5i500i5−i5004-411-1-1−i5−i5i5i5i5i5−i5−i50000000011-1-1000000-110000i5−i5−i5i50000000000000000000000000000
χ854-44-4-4400-141-4-141-444-4-40000-1-111-1-1111-4-14i5−i500−i5i500-440011-1-1i5−i5i5−i5−i5i5−i5i50000-1-111000000001-100i5−i5−i5i500000000000000000000000000000000
χ864-44-4-4400-141-4-141-444-4-40000-1-111-1-1111-4-14−i5i500i5−i500-440011-1-1−i5i5−i5i5i5−i5i5−i50000-1-111000000001-100−i5i5i5−i500000000000000000000000000000000
χ874-44-4-4400-141-4-141-4-4-4440000-1-111-1-1111-4-14i5−i500−i5i5004-40011-1-1i5−i5i5−i5−i5i5−i5i5000011-1-100000000-1100−i5i5i5−i500000000000000000000000000000000
χ884-44-4-4400-141-4-141-4-4-4440000-1-111-1-1111-4-14−i5i500i5−i5004-40011-1-1−i5i5−i5i5i5−i5i5−i5000011-1-100000000-1100i5−i5−i5i500000000000000000000000000000000
χ8988888888-2-2-2-2-2-2-2-2000000003-23-23-23-2-2-2-2-2-2-2-2-2-2-2-2-200003-23-23-2-233-2-2300000000000000000000000000000000000000000000000000000000
χ9088888888-2-2-2-2-2-2-2-200000000-23-23-23-23-2-2-2-2-2-2-2-2-2-2-2-20000-23-23-233-2-233-200000000000000000000000000000000000000000000000000000000
χ91888888-8-8-2-2-2-2-2-2-2-2000000003-23-23-23-2-2-2-2-22222222200003-23-2-322-3-322-300000000000000000000000000000000000000000000000000000000
χ92888888-8-8-2-2-2-2-2-2-2-200000000-23-23-23-23-2-2-2-2222222220000-23-232-3-322-3-3200000000000000000000000000000000000000000000000000000000
χ938888-8-800-2-2-2-2-2-2-2-2000000003-23-23-23-2222225−2525−2525−2525−250000-32-32−5005−500500000000000000000000000000000000000000000000000000000000
χ948888-8-800-2-2-2-2-2-2-2-2000000003-23-23-23-22222−2525−2525−2525−25250000-32-32500−5500−500000000000000000000000000000000000000000000000000000000
χ958888-8-800-2-2-2-2-2-2-2-200000000-23-23-23-23222225−25−252525−25−252500002-32-305−5005−5000000000000000000000000000000000000000000000000000000000
χ968888-8-800-2-2-2-2-2-2-2-200000000-23-23-23-232222−252525−25−252525−2500002-32-30−5500−55000000000000000000000000000000000000000000000000000000000
χ9788-8-800008-28-2-82-8200008-88-8-2-2-2-22222000000000000000000000000000000000000-22-2200000000000000000000000000000000000000000000
χ9888-8-800008-28-2-82-820000-88-88-2-2-2-222220000000000000000000000000000000000002-22-200000000000000000000000000000000000000000000
χ9988-8-80000-28-282-82-88-88-80000-2-2-2-2222200000000000000000000000000000000-22-22000000000000000000000000000000000000000000000000
χ10088-8-80000-28-282-82-8-88-880000-2-2-2-22222000000000000000000000000000000002-22-2000000000000000000000000000000000000000000000000
χ1018-88-88-88i−8i-2-222-2-222000000003-2-323-2-32-2-222−2i−2i−2i−2i2i2i2i2i00003-2-323i−2i−2i3i−3i2i2i−3i00000000000000000000000000000000000000000000000000000000
χ1028-88-88-88i−8i-2-222-2-22200000000-232-3-232-3-2-222−2i−2i−2i−2i2i2i2i2i0000-232-3−2i3i3i−2i2i−3i−3i2i00000000000000000000000000000000000000000000000000000000
χ1038-88-88-8−8i8i-2-222-2-222000000003-2-323-2-32-2-2222i2i2i2i−2i−2i−2i−2i00003-2-32−3i2i2i−3i3i−2i−2i3i00000000000000000000000000000000000000000000000000000000
χ1048-88-88-8−8i8i-2-222-2-22200000000-232-3-232-3-2-2222i2i2i2i−2i−2i−2i−2i0000-232-32i−3i−3i2i−2i3i3i−2i00000000000000000000000000000000000000000000000000000000
χ1058-88-8-8800-2-222-2-222000000003-2-323-2-3222-2-22i5−2i52i5−2i5−2i52i5−2i52i50000-323-2−i500i5i500−i500000000000000000000000000000000000000000000000000000000
χ1068-88-8-8800-2-222-2-222000000003-2-323-2-3222-2-2−2i52i5−2i52i52i5−2i52i5−2i50000-323-2i500−i5−i500i500000000000000000000000000000000000000000000000000000000
χ1078-88-8-8800-2-222-2-22200000000-232-3-232-322-2-22i5−2i5−2i52i5−2i52i52i5−2i500002-3-230i5−i500−i5i5000000000000000000000000000000000000000000000000000000000
χ1088-88-8-8800-2-222-2-22200000000-232-3-232-322-2-2−2i52i52i5−2i52i5−2i5−2i52i500002-3-230−i5i500i5−i5000000000000000000000000000000000000000000000000000000000
χ1098-8-8800008-2-82-828-200008-8-88-2-22222-2-2000000000000000000000000000000000000-222-200000000000000000000000000000000000000000000
χ1108-8-8800008-2-82-828-20000-888-8-2-22222-2-20000000000000000000000000000000000002-2-2200000000000000000000000000000000000000000000
χ1118-8-880000-282-82-8-288-8-880000-2-22222-2-200000000000000000000000000000000-222-2000000000000000000000000000000000000000000000000
χ1128-8-880000-282-82-8-28-888-80000-2-22222-2-2000000000000000000000000000000002-2-22000000000000000000000000000000000000000000000000
χ1131616-16-160000-4-4-4-44444000000006-46-4-64-64000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1141616-16-160000-4-4-4-4444400000000-46-464-64-6000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11516-16-16160000-4-44444-4-4000000006-4-64-646-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11616-16-16160000-4-44444-4-400000000-464-64-6-46000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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