Finite Group Databasebeta

← Group #72242570

Character table — Group #72242570

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122444444448888888888888101010101010101016161616161616161616161616161616252525254040404040404040404050505050505050505050505050505050505080808080200200200200200
order1222445510101010101045510101010101020202020888888882020202020202020202020202020202022224440404040404040404444444444888888882020202044444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-11111-1-1-1-1-1iiii−i−i−i−i-1iiii−i−i−i−i11-1-1-1ii−i−i
χ41111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-11-11111-1-1-1-1-1−i−i−i−iiiii-1−i−i−i−iiiii11-1-1-1−i−iii
χ5111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-11-1-1-1-11111-1iiii−i−i−i−i-1−i−i−i−iiiii-1-111-1i−ii−i
χ6111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-11-1-1-1-11111-1−i−i−i−iiiii-1iiii−i−i−i−i-1-111-1−ii−ii
χ7111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11
χ8111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111-1-1-1-11-111-1
χ911111111111111-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ1011111111111111-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ1111111111111111-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1iiii−i−i−i−i-1iiii−i−i−i−i-1-1111−i−iii
χ1211111111111111-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1−i−i−i−iiiii-1−i−i−i−iiiii-1-1111ii−i−i
χ1311111111111111-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1iiii−i−i−i−i-1−i−i−i−iiiii11-1-11−ii−ii
χ1411111111111111-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1−i−i−i−iiiii-1iiii−i−i−i−i11-1-11i−ii−i
χ1511111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1
χ1611111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111111-11-1-11
χ172222-2-222222222022222222-2-2-2-2000000000000-2-2-2-20000000022220000000000-222-2-222-2-2-200000000000000000
χ182222-2-222222222022222222-2-2-2-2000000000000-2-2-2-20000000022220000000000-2-2-222-2-222-200000000000000000
χ192222-2-222222222022222222-2-2-2-2000000000000-2-2-2-200000000-2-2-2-2000000000022i2i−2i−2i−2i−2i2i2i200000000000000000
χ202222-2-222222222022222222-2-2-2-2000000000000-2-2-2-200000000-2-2-2-200000000002−2i−2i2i2i2i2i−2i−2i200000000000000000
χ2122-2-20022-2-2-2-22202222-2-2-2-20000i2i2−i2−i2i2i2−i2−i200000000000000002-22-200i2i2−i2−i2i2i2−i2−i20002i−2i002i−2i022−2−222−2−2000000000
χ2222-2-20022-2-2-2-22202222-2-2-2-20000i2i2−i2−i2i2i2−i2−i200000000000000002-22-200i2i2−i2−i2i2i2−i2−i2000−2i2i00−2i2i0−2−222−2−222000000000
χ2322-2-20022-2-2-2-22202222-2-2-2-20000i2i2−i2−i2−i2−i2i2i20000000000000000-22-2200i2i2−i2−i2−i2−i2i2i20002-200-220−i2−i2i2i2i2i2−i2−i2000000000
χ2422-2-20022-2-2-2-22202222-2-2-2-20000i2i2−i2−i2−i2−i2i2i20000000000000000-22-2200i2i2−i2−i2−i2−i2i2i2000-22002-20i2i2−i2−i2−i2−i2i2i2000000000
χ2522-2-20022-2-2-2-22202222-2-2-2-20000−i2−i2i2i2i2i2−i2−i20000000000000000-22-2200−i2−i2i2i2i2i2−i2−i20002-200-220i2i2−i2−i2−i2−i2i2i2000000000
χ2622-2-20022-2-2-2-22202222-2-2-2-20000−i2−i2i2i2i2i2−i2−i20000000000000000-22-2200−i2−i2i2i2i2i2−i2−i2000-22002-20−i2−i2i2i2i2i2−i2−i2000000000
χ2722-2-20022-2-2-2-22202222-2-2-2-20000−i2−i2i2i2−i2−i2i2i200000000000000002-22-200−i2−i2i2i2−i2−i2i2i20002i−2i002i−2i0−2−222−2−222000000000
χ2822-2-20022-2-2-2-22202222-2-2-2-20000−i2−i2i2i2−i2−i2i2i200000000000000002-22-200−i2−i2i2i2−i2−i2i2i2000−2i2i00−2i2i022−2−222−2−2000000000
χ292-22-22-22222-2-2-2-2022-2-222-2-222-2-200000000000022-2-20000000022-2-20000000000-20000000022-22-22-22-2000000000
χ302-22-22-22222-2-2-2-2022-2-222-2-222-2-200000000000022-2-20000000022-2-20000000000-2000000002-22-22-22-22000000000
χ312-22-22-22222-2-2-2-2022-2-222-2-222-2-200000000000022-2-200000000-2-2220000000000200000000-22i−2i2i−2i−2i2i−2i2i000000000
χ322-22-22-22222-2-2-2-2022-2-222-2-222-2-200000000000022-2-200000000-2-2220000000000200000000-2−2i2i−2i2i2i−2i2i−2i000000000
χ332-22-2-222222-2-2-2-2022-2-222-2-2-2-2222-22-22-22-20000-2-2220000000022-2-2002-22-22-22-2200000000-200000000000000000
χ342-22-2-222222-2-2-2-2022-2-222-2-2-2-2222-22-2-22-220000-2-22200000000-2-222002-22-2-22-22-200000000200000000000000000
χ352-22-2-222222-2-2-2-2022-2-222-2-2-2-222-22-222-22-20000-2-22200000000-2-22200-22-222-22-2-200000000200000000000000000
χ362-22-2-222222-2-2-2-2022-2-222-2-2-2-222-22-22-22-220000-2-2220000000022-2-200-22-22-22-22200000000-200000000000000000
χ372-2-220022-2-222-2-2022-2-2-2-2220000i2−i2−i2i2i2−i2−i2i200000000000000002-2-2200i2−i2−i2i2i2−i2−i2i202i−2i002i−2i0002−2−222−2−22000000000
χ382-2-220022-2-222-2-2022-2-2-2-2220000i2−i2−i2i2i2−i2−i2i200000000000000002-2-2200i2−i2−i2i2i2−i2−i2i20−2i2i00−2i2i000−222−2−222−2000000000
χ392-2-220022-2-222-2-2022-2-2-2-2220000i2−i2−i2i2−i2i2i2−i20000000000000000-222-200i2−i2−i2i2−i2i2i2−i202-200-22000−i2i2i2−i2i2−i2−i2i2000000000
χ402-2-220022-2-222-2-2022-2-2-2-2220000i2−i2−i2i2−i2i2i2−i20000000000000000-222-200i2−i2−i2i2−i2i2i2−i20-22002-2000i2−i2−i2i2−i2i2i2−i2000000000
χ412-2-220022-2-222-2-2022-2-2-2-2220000−i2i2i2−i2i2−i2−i2i20000000000000000-222-200−i2i2i2−i2i2−i2−i2i202-200-22000i2−i2−i2i2−i2i2i2−i2000000000
χ422-2-220022-2-222-2-2022-2-2-2-2220000−i2i2i2−i2i2−i2−i2i20000000000000000-222-200−i2i2i2−i2i2−i2−i2i20-22002-2000−i2i2i2−i2i2−i2−i2i2000000000
χ432-2-220022-2-222-2-2022-2-2-2-2220000−i2i2i2−i2−i2i2i2−i200000000000000002-2-2200−i2i2i2−i2−i2i2i2−i202i−2i002i−2i000−222−2−222−2000000000
χ442-2-220022-2-222-2-2022-2-2-2-2220000−i2i2i2−i2−i2i2i2−i200000000000000002-2-2200−i2i2i2−i2−i2i2i2−i20−2i2i00−2i2i0002−2−222−2−22000000000
χ454444444-14-14-14-14-1-1-1-1-1-1-1-14-14-10000444444-1-1-1-1-1-1-1-1-1-1-1-1-1-10000040000-1-1-1-100000000000000000000-1-100000
χ464444444-14-14-14-14-1-1-1-1-1-1-1-14-14-10000-4-4-4-444-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-400001111000000000000000000001100000
χ474444444-14-14-14-1-4-1-1-1-1-1-1-1-14-14-100004444-4-411-1-1-1-11111111100000-40000-1-1-1-1000000000000000000001100000
χ484444444-14-14-14-1-4-1-1-1-1-1-1-1-14-14-10000-4-4-4-4-4-411-1-1-1-1111111110000040000111100000000000000000000-1-100000
χ49444444-14-14-14-144-1-1-1-1-1-1-1-1-14-1444440000-1-144-1-1-1-1-1-1-1-1-1-1-1-1000040-1-1-1-10000000000000000000000-1-10000000
χ50444444-14-14-14-144-1-1-1-1-1-1-1-1-14-14-4-4-4-40000-1-144-1-1-1-1-1-1-1-1-1-1-1-10000-4011110000000000000000000000110000000
χ51444444-14-14-14-14-4-1-1-1-1-1-1-1-1-14-144444000011-4-4-1-1-1-1111111110000-40-1-1-1-10000000000000000000000110000000
χ52444444-14-14-14-14-4-1-1-1-1-1-1-1-1-14-14-4-4-4-4000011-4-4-1-1-1-11111111100004011110000000000000000000000-1-10000000
χ534-44-4-444-14-1-41-410-1-111-1-111-414-100004-44-400i5−i511-1-1i5i5i5i5−i5−i5−i5−i50000000000-11-1100000000000000000000i5−i500000
χ544-44-4-444-14-1-41-410-1-111-1-111-414-100004-44-400−i5i511-1-1−i5−i5−i5−i5i5i5i5i50000000000-11-1100000000000000000000−i5i500000
χ554-44-4-444-14-1-41-410-1-111-1-111-414-10000-44-4400i5−i511-1-1i5i5i5i5−i5−i5−i5−i500000000001-11-100000000000000000000−i5i500000
χ564-44-4-444-14-1-41-410-1-111-1-111-414-10000-44-4400−i5i511-1-1−i5−i5−i5−i5i5i5i5i500000000001-11-100000000000000000000i5−i500000
χ574-44-4-44-14-141-41-40-1-111-1-1111-4-144-44-40000i5−i50011-1-1i5i5−i5−i5i5i5−i5−i5000000-11-110000000000000000000000i5−i50000000
χ584-44-4-44-14-141-41-40-1-111-1-1111-4-144-44-40000−i5i50011-1-1−i5−i5i5i5−i5−i5i5i5000000-11-110000000000000000000000−i5i50000000
χ594-44-4-44-14-141-41-40-1-111-1-1111-4-14-44-440000i5−i50011-1-1i5i5−i5−i5i5i5−i5−i50000001-11-10000000000000000000000−i5i50000000
χ604-44-4-44-14-141-41-40-1-111-1-1111-4-14-44-440000−i5i50011-1-1−i5−i5i5i5−i5−i5i5i50000001-11-10000000000000000000000i5−i50000000
χ61888888-2-2-2-2-2-2-2-283-23-23-23-2-2-2-2-200000000-2-2-2-23-23-233-2-2-2-23300000000000000000000000000000000000000000
χ62888888-2-2-2-2-2-2-2-28-23-23-23-23-2-2-2-200000000-2-2-2-2-23-23-2-23333-2-200000000000000000000000000000000000000000
χ63888888-2-2-2-2-2-2-2-2-83-23-23-23-2-2-2-2-20000000022223-23-2-3-32222-3-300000000000000000000000000000000000000000
χ64888888-2-2-2-2-2-2-2-2-8-23-23-23-23-2-2-2-2000000002222-23-2322-3-3-3-32200000000000000000000000000000000000000000
χ658888-8-88-28-28-28-20-2-2-2-2-2-2-2-2-82-8200000000000022220000000000000000000000000000000000000000000000000
χ668888-8-8-28-28-28-280-2-2-2-2-2-2-2-22-82-800000000000022220000000000000000000000000000000000000000000000000
χ678888-8-8-2-2-2-2-2-2-2-203-23-23-23-22222000000000000-32-325−525−2525−255−500000000000000000000000000000000000000000
χ688888-8-8-2-2-2-2-2-2-2-203-23-23-23-22222000000000000-32-32−55−2525−2525−5500000000000000000000000000000000000000000
χ698888-8-8-2-2-2-2-2-2-2-20-23-23-23-2322220000000000002-32-325−25−55−5525−2500000000000000000000000000000000000000000
χ708888-8-8-2-2-2-2-2-2-2-20-23-23-23-2322220000000000002-32-3−25255−55−5−252500000000000000000000000000000000000000000
χ7188-8-8008-2-82-828-20-2-2-2-22222000000004i24i2−4i2−4i200000000000000000000000000−i2−i2i2i2000000000000000000000000000
χ7288-8-8008-2-82-828-20-2-2-2-2222200000000−4i2−4i24i24i200000000000000000000000000i2i2−i2−i2000000000000000000000000000
χ7388-8-800-282-82-8-280-2-2-2-2222200004i24i2−4i2−4i200000000000000000000000000−i2−i2i2i20000000000000000000000000000000
χ7488-8-800-282-82-8-280-2-2-2-222220000−4i2−4i24i24i200000000000000000000000000i2i2−i2−i20000000000000000000000000000000
χ758-88-88-88-28-2-82-820-2-222-2-2228-2-82000000000000-2-2220000000000000000000000000000000000000000000000000
χ768-88-88-8-28-282-82-80-2-222-2-222-282-8000000000000-2-2220000000000000000000000000000000000000000000000000
χ778-88-88-8-2-2-2-2222203-2-323-2-32-2-2220000000000003-2-325i−5i0000−5i5i00000000000000000000000000000000000000000
χ788-88-88-8-2-2-2-2222203-2-323-2-32-2-2220000000000003-2-32−5i5i00005i−5i00000000000000000000000000000000000000000
χ798-88-88-8-2-2-2-222220-232-3-232-3-2-222000000000000-232-3005i−5i−5i5i0000000000000000000000000000000000000000000
χ808-88-88-8-2-2-2-222220-232-3-232-3-2-222000000000000-232-300−5i5i5i−5i0000000000000000000000000000000000000000000
χ818-88-8-88-2-2-2-2222203-2-323-2-3222-2-2000000002i5−2i52i5−2i5-323-2−i5−i50000i5i500000000000000000000000000000000000000000
χ828-88-8-88-2-2-2-2222203-2-323-2-3222-2-200000000−2i52i5−2i52i5-323-2i5i50000−i5−i500000000000000000000000000000000000000000
χ838-88-8-88-2-2-2-222220-232-3-232-322-2-2000000002i5−2i5−2i52i52-3-2300i5i5−i5−i50000000000000000000000000000000000000000000
χ848-88-8-88-2-2-2-222220-232-3-232-322-2-200000000−2i52i52i5−2i52-3-2300−i5−i5i5i50000000000000000000000000000000000000000000
χ858-8-88008-2-828-2-820-2-22222-2-2000000004i2−4i2−4i24i200000000000000000000000000−i2i2i2−i2000000000000000000000000000
χ868-8-88008-2-828-2-820-2-22222-2-200000000−4i24i24i2−4i200000000000000000000000000i2−i2−i2i2000000000000000000000000000
χ878-8-8800-282-8-282-80-2-22222-2-200004i2−4i2−4i24i200000000000000000000000000−i2i2i2−i20000000000000000000000000000000
χ888-8-8800-282-8-282-80-2-22222-2-20000−4i24i24i2−4i200000000000000000000000000i2−i2−i2i20000000000000000000000000000000
χ891616-16-1600-4-44444-4-406-46-4-64-64000000000000000000000000000000000000000000000000000000000000000000000
χ901616-16-1600-4-44444-4-40-46-464-64-6000000000000000000000000000000000000000000000000000000000000000000000
χ9116-16-161600-4-444-4-44406-4-64-646-4000000000000000000000000000000000000000000000000000000000000000000000
χ9216-16-161600-4-444-4-4440-464-64-6-46000000000000000000000000000000000000000000000000000000000000000000000

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