Finite Group Databasebeta

← Group #72253323

Character table — Group #72253323

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111122222244444444888888888888888888888888888888888888888888882525252540404040505050505050505050505050505050505050505050508080808080808080200200200200
order1222224444551010101010105510101010101010101010101010101010101020202020202020202020202020202020202020202020202022222244224444888888888888888810101010202020204444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−i
χ611111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii
χ711111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii
χ811111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−i
χ91111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ101111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11
χ111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ121111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-1
χ131111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111i−i−ii
χ141111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-111-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−iii−i
χ151111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−iii−i
χ161111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-111-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1i−i−ii
χ17222222-2-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000022-2-2-2-20000000000000000000000000000
χ18222222-2-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-222220000000000000000000000000000
χ192222-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222222222220000-2-2-222-20000000000000000000000000000
χ202222-2-2-2-2222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-20000222-2-220000000000000000000000000000
χ2122-2-200002i−2i2222-2-2-2-222000022-2-200000000-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i2-22-200000002i−2i0i2i2−i2−i222−2−2i2i2−i2−i222−2−2000000000000
χ2222-2-200002i−2i2222-2-2-2-222000022-2-200000000-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i2-22-200000002i−2i0−i2−i2i2i2−2−222−i2−i2i2i2−2−222000000000000
χ2322-2-200002i−2i2222-2-2-2-222000022-2-200000000-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-22-220000000−2i2i022−2−2−i2−i2i2i2−2−222i2i2−i2−i2000000000000
χ2422-2-200002i−2i2222-2-2-2-222000022-2-200000000-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-22-220000000−2i2i0−2−222i2i2−i2−i222−2−2−i2−i2i2i2000000000000
χ2522-2-20000−2i2i2222-2-2-2-222000022-2-200000000-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i2-22-20000000−2i2i0i2i2−i2−i2−2−222i2i2−i2−i2−2−222000000000000
χ2622-2-20000−2i2i2222-2-2-2-222000022-2-200000000-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i2-22-20000000−2i2i0−i2−i2i2i222−2−2−i2−i2i2i222−2−2000000000000
χ2722-2-20000−2i2i2222-2-2-2-222000022-2-200000000-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-22-2200000002i−2i022−2−2i2i2−i2−i2−2−222−i2−i2i2i2000000000000
χ2822-2-20000−2i2i2222-2-2-2-222000022-2-200000000-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-22-2200000002i−2i0−2−222−i2−i2i2i222−2−2i2i2−i2−i2000000000000
χ292-22-22-2000022-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-200000000000000000000000022-2-200002-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ302-22-22-2000022-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-200000000000000000000000022-2-200002-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ312-22-22-2000022-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000-2-2220000-2200002−22−22−22−2−22−22−22−22000000000000
χ322-22-22-2000022-2-2-2-2222222-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000-2-2220000-220000−22−22−22−222−22−22−22−2000000000000
χ332-22-2-22000022-2-2-2-22222-2-222-2-222-2-2-2-22222-2-200000000000000000000000022-2-20000-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ342-22-2-22000022-2-2-2-22222-2-222-2-222-2-2-2-22222-2-200000000000000000000000022-2-20000-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ352-22-2-22000022-2-2-2-22222-2-222-2-222-2-2-2-22222-2-2000000000000000000000000-2-22200002-200002−22−2−22−22−22−222−22−2000000000000
χ362-22-2-22000022-2-2-2-22222-2-222-2-222-2-2-2-22222-2-2000000000000000000000000-2-22200002-20000−22−222−22−22−22−2−22−22000000000000
χ372-2-22002-20022-2-222-2-2220000-2-2-2-2000000002222-2-200002222-2-2-2-2000000002-2-22000000200-200002i−2i−2i2i00002i−2i−2i2i000000000000
χ382-2-22002-20022-2-222-2-2220000-2-2-2-2000000002222-2-200002222-2-2-2-2000000002-2-22000000200-20000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ392-2-22002-20022-2-222-2-2220000-2-2-2-2000000002222-2-200002222-2-2-2-200000000-222-2000000-200200002-2-220000-222-2000000000000
χ402-2-22002-20022-2-222-2-2220000-2-2-2-2000000002222-2-200002222-2-2-2-200000000-222-2000000-20020000-222-200002-2-22000000000000
χ412-2-2200-220022-2-222-2-2220000-2-2-2-20000000022-2-2220000-2-2-2-22222000000002-2-22000000-20022-2-2200002-2-220000000000000000
χ422-2-2200-220022-2-222-2-2220000-2-2-2-20000000022-2-2220000-2-2-2-22222000000002-2-22000000-2002-222-20000-222-20000000000000000
χ432-2-2200-220022-2-222-2-2220000-2-2-2-20000000022-2-2220000-2-2-2-2222200000000-222-2000000200-22i−2i−2i2i0000−2i2i2i−2i0000000000000000
χ442-2-2200-220022-2-222-2-2220000-2-2-2-20000000022-2-2220000-2-2-2-2222200000000-222-2000000200-2−2i2i2i−2i00002i−2i−2i2i0000000000000000
χ4544444444444-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000404000000000000000000000000-1-100-1-10000
χ4644444444444-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-40-40000000000000000000000001100110000
χ474444444444-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000040400000000000000000000000-1-100-1-1000000
χ484444444444-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-40-400000000000000000000000110011000000
χ49444444-4-4-4-44-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-41-41-41-411111111111111111000000000000000000000000000000005−5005−50000
χ50444444-4-4-4-44-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-41-41-41-41111111111111111100000000000000000000000000000000−5500−550000
χ51444444-4-4-4-4-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41-41-41-411111111111111110000000000000000000000000000005−5005−5000000
χ52444444-4-4-4-4-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41-41-41-41111111111111111000000000000000000000000000000−5500−55000000
χ534444-4-444-4-44-14-14-14-1-1-1-41-41-1-1-1-111111111-1-14-14-1-41-41-1-1-1-1-1-1-1-1111111110000040-4000000000000000000000000-1-100110000
χ544444-4-444-4-44-14-14-14-1-1-1-41-41-1-1-1-111111111-1-14-14-1-41-41-1-1-1-1-1-1-1-11111111100000-4040000000000000000000000001100-1-10000
χ554444-4-444-4-4-14-14-14-14-1-11-41-4-1-1-1-111111111-1-1-14-141-41-4-1-1-1-1-1-1-1-111111111000040-400000000000000000000000-1-10011000000
χ564444-4-444-4-4-14-14-14-14-1-11-41-4-1-1-1-111111111-1-1-14-141-41-4-1-1-1-1-1-1-1-1111111110000-404000000000000000000000001100-1-1000000
χ574444-4-4-4-4444-14-14-14-1-1-1-41-41-1-1-1-111111111-1-1-41-414-14-111111111-1-1-1-1-1-1-1-1000000000000000000000000000000005−500−550000
χ584444-4-4-4-4444-14-14-14-1-1-1-41-41-1-1-1-111111111-1-1-41-414-14-111111111-1-1-1-1-1-1-1-100000000000000000000000000000000−55005−50000
χ594444-4-4-4-444-14-14-14-14-1-11-41-4-1-1-1-111111111-1-11-41-4-14-1411111111-1-1-1-1-1-1-1-10000000000000000000000000000005−500−55000000
χ604444-4-4-4-444-14-14-14-14-1-11-41-4-1-1-1-111111111-1-11-41-4-14-1411111111-1-1-1-1-1-1-1-1000000000000000000000000000000−55005−5000000
χ618888888888-2-2-2-2-2-2-2-23-2-2-2-2-23-23-233-2-233-2-23-2-2-2-2-2-2-2-2-233-2-233-2-233-2-233-2-2000000000000000000000000000000000000000000
χ628888888888-2-2-2-2-2-2-2-2-23-2-2-2-2-23-23-2-233-2-233-23-2-2-2-2-2-2-2-2-2-233-2-233-2-233-2-233000000000000000000000000000000000000000000
χ63888888-8-8-8-8-2-2-2-2-2-2-2-23-2-2-2-2-23-23-233-2-233-2-23-222222222-3-322-3-322-3-322-3-322000000000000000000000000000000000000000000
χ64888888-8-8-8-8-2-2-2-2-2-2-2-2-23-2-2-2-2-23-23-2-233-2-233-232222222222-3-322-3-322-3-322-3-3000000000000000000000000000000000000000000
χ658888-8-888-8-8-2-2-2-2-2-2-2-23-222223-23-2-3-322-3-3223-2-2-2-2-2222233-2-233-2-2-3-322-3-322000000000000000000000000000000000000000000
χ668888-8-888-8-8-2-2-2-2-2-2-2-2-232222-23-2322-3-322-3-3-23-2-2-2-22222-2-233-2-23322-3-322-3-3000000000000000000000000000000000000000000
χ678888-8-8-8-888-2-2-2-2-2-2-2-23-222223-23-2-3-322-3-3223-22222-2-2-2-2-3-322-3-32233-2-233-2-2000000000000000000000000000000000000000000
χ688888-8-8-8-888-2-2-2-2-2-2-2-2-232222-23-2322-3-322-3-3-232222-2-2-2-222-3-322-3-3-2-233-2-233000000000000000000000000000000000000000000
χ6988-8-800008i−8i8-28-2-82-82-2-20000-2-222000000002200008i−2i−8i2i00000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000
χ7088-8-800008i−8i-28-282-82-8-2-20000-2-22200000000220000−2i8i2i−8i00000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000
χ7188-8-800008i−8i-2-2-2-222223-200003-2-325−525−255−525−25-320000−2i−2i2i2ii5−i52i5−2i5i5−i52i5−2i53i3i−2i−2i−3i−3i2i2i000000000000000000000000000000000000000000
χ7288-8-800008i−8i-2-2-2-222223-200003-2-32−55−2525−55−2525-320000−2i−2i2i2i−i5i5−2i52i5−i5i5−2i52i53i3i−2i−2i−3i−3i2i2i000000000000000000000000000000000000000000
χ7388-8-800008i−8i-2-2-2-22222-230000-232-325−25−5525−25−552-30000−2i−2i2i2i2i5−2i5−i5i52i5−2i5−i5i5−2i−2i3i3i2i2i−3i−3i000000000000000000000000000000000000000000
χ7488-8-800008i−8i-2-2-2-22222-230000-232-3−25255−5−25255−52-30000−2i−2i2i2i−2i52i5i5−i5−2i52i5i5−i5−2i−2i3i3i2i2i−3i−3i000000000000000000000000000000000000000000
χ7588-8-80000−8i8i8-28-2-82-82-2-20000-2-22200000000220000−8i2i8i−2i000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000
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χ7788-8-80000−8i8i-2-2-2-222223-200003-2-325−525−255−525−25-3200002i2i−2i−2i−i5i5−2i52i5−i5i5−2i52i5−3i−3i2i2i3i3i−2i−2i000000000000000000000000000000000000000000
χ7888-8-80000−8i8i-2-2-2-222223-200003-2-32−55−2525−55−2525-3200002i2i−2i−2ii5−i52i5−2i5i5−i52i5−2i5−3i−3i2i2i3i3i−2i−2i000000000000000000000000000000000000000000
χ7988-8-80000−8i8i-2-2-2-22222-230000-232-325−25−5525−25−552-300002i2i−2i−2i−2i52i5i5−i5−2i52i5i5−i52i2i−3i−3i−2i−2i3i3i000000000000000000000000000000000000000000
χ8088-8-80000−8i8i-2-2-2-22222-230000-232-3−25255−5−25255−52-300002i2i−2i−2i2i5−2i5−i5i52i5−2i5−i5i52i2i−3i−3i−2i−2i3i3i000000000000000000000000000000000000000000
χ818-88-88-800008-2-82-828-2-2-28-2-8222-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000000000
χ828-88-88-80000-282-82-8-28-2-2-282-822-2-2-2-2-2-2222222000000000000000000000000000000000000000000000000000000000000000000
χ838-88-88-80000-2-22222-2-23-2-2-222-323-233-2-2-3-322-3200000000i5−i52i5−2i5−i5i5−2i52i5i5−i52i5−2i5i5−i52i5−2i5000000000000000000000000000000000000000000
χ848-88-88-80000-2-22222-2-23-2-2-222-323-233-2-2-3-322-3200000000−i5i5−2i52i5i5−i52i5−2i5−i5i5−2i52i5−i5i5−2i52i5000000000000000000000000000000000000000000
χ858-88-88-80000-2-22222-2-2-23-2-2222-3-23-2-23322-3-32-3000000002i5−2i5−i5i5−2i52i5i5−i52i5−2i5−i5i52i5−2i5−i5i5000000000000000000000000000000000000000000
χ868-88-88-80000-2-22222-2-2-23-2-2222-3-23-2-23322-3-32-300000000−2i52i5i5−i52i5−2i5−i5i5−2i52i5i5−i5−2i52i5i5−i5000000000000000000000000000000000000000000
χ878-88-8-8800008-2-82-828-2-2-2-828-222-2-22222-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000
χ888-88-8-880000-282-82-8-28-2-22-8-2822-2-22222-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000
χ898-88-8-880000-2-22222-2-23-222-2-2-323-2-3-32233-2-2-3200000000i5−i52i5−2i5−i5i5−2i52i5−i5i5−2i52i5−i5i5−2i52i5000000000000000000000000000000000000000000
χ908-88-8-880000-2-22222-2-23-222-2-2-323-2-3-32233-2-2-3200000000−i5i5−2i52i5i5−i52i5−2i5i5−i52i5−2i5i5−i52i5−2i5000000000000000000000000000000000000000000
χ918-88-8-880000-2-22222-2-2-2322-2-22-3-2322-3-3-2-2332-3000000002i5−2i5−i5i5−2i52i5i5−i5−2i52i5i5−i5−2i52i5i5−i5000000000000000000000000000000000000000000
χ928-88-8-880000-2-22222-2-2-2322-2-22-3-2322-3-3-2-2332-300000000−2i52i5i5−i52i5−2i5−i5i52i5−2i5−i5i52i5−2i5−i5i5000000000000000000000000000000000000000000
χ938-8-88008-8008-2-828-2-82-2-20000222200000000-2-28-2-820000-2-2-2-2222200000000000000000000000000000000000000000000000000
χ948-8-88008-800-282-8-282-8-2-20000222200000000-2-2-282-80000-2-2-2-2222200000000000000000000000000000000000000000000000000
χ958-8-88008-800-2-222-2-2223-20000-32-325−525−25−55−25253-2-2-222000033-2-2-3-3225−525−25−55−2525000000000000000000000000000000000000000000
χ968-8-88008-800-2-222-2-2223-20000-32-32−55−25255−525−253-2-2-222000033-2-2-3-322−55−25255−525−25000000000000000000000000000000000000000000
χ978-8-88008-800-2-222-2-222-2300002-32-325−25−55−25255−5-23-2-2220000-2-23322-3-325−25−55−25255−5000000000000000000000000000000000000000000
χ988-8-88008-800-2-222-2-222-2300002-32-3−25255−525−25−55-23-2-2220000-2-23322-3-3−25255−525−25−55000000000000000000000000000000000000000000
χ998-8-8800-88008-2-828-2-82-2-20000222200000000-2-2-828-200002222-2-2-2-200000000000000000000000000000000000000000000000000
χ1008-8-8800-8800-282-8-282-8-2-20000222200000000-2-22-8-2800002222-2-2-2-200000000000000000000000000000000000000000000000000
χ1018-8-8800-8800-2-222-2-2223-20000-32-325−525−25−55−25253-222-2-20000-3-32233-2-2−55−25255−525−25000000000000000000000000000000000000000000
χ1028-8-8800-8800-2-222-2-2223-20000-32-32−55−25255−525−253-222-2-20000-3-32233-2-25−525−25−55−2525000000000000000000000000000000000000000000
χ1038-8-8800-8800-2-222-2-222-2300002-32-325−25−55−25255−5-2322-2-2000022-3-3-2-233−25255−525−25−55000000000000000000000000000000000000000000
χ1048-8-8800-8800-2-222-2-222-2300002-32-3−25255−525−25−55-2322-2-2000022-3-3-2-23325−25−55−25255−5000000000000000000000000000000000000000000

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