Finite Group Databasebeta

← Group #72226434

Character table — Group #72226434

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222444444444888888888888888888888888888888888888888888882525252540404040505050508080808080808080100100100100100100100100100100100100100100100100100
order1222224445510101010101055101010101010101010101010101010101010202020202020202020202020202020202020202020202020222222442244101010102020202044444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-1-1-111-1-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-1-1-111-1-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ71111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1iiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-1-1-111-1-111-1−i−i−i−iiiiiiiii−i−i−i−i
χ91111-1-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-111-1-111-1-111-1-111-1-1
χ101111-1-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-111-1-111-1-111-1-111
χ111111-1-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-111-1-111-1-1-1-111-1-111
χ121111-1-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-111-1-11111-1-111-1-1
χ131111-1-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1111ii−i−i−i−iiiii−i−i−i−iii
χ141111-1-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1111−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11ii−i−i−i−iii−i−iiiii−i−i
χ161111-1-111-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11−i−iiiii−i−iii−i−i−i−iii
χ17222222-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000022-2-200000000-20000000000000000
χ18222222-2-2-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2220000000020000000000000000
χ192222-2-2-2-222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222222222220000-2-2-2-20000000020000000000000000
χ202222-2-2-2-222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-20000222200000000-20000000000000000
χ212-22-22-200022-2-2-2-2222222-2-222-2-22222-2-2-2-2-2-200000000000000000000000022-2-200002-20000000000000000000i2−i2i2−i2i2−i2i2−i2
χ222-22-22-200022-2-2-2-2222222-2-222-2-22222-2-2-2-2-2-200000000000000000000000022-2-200002-20000000000000000000−i2i2−i2i2−i2i2−i2i2
χ232-22-22-200022-2-2-2-2222222-2-222-2-22222-2-2-2-2-2-2000000000000000000000000-2-2220000-2200000000000000000002−22−2−22−22
χ242-22-22-200022-2-2-2-2222222-2-222-2-22222-2-2-2-2-2-2000000000000000000000000-2-2220000-220000000000000000000−22−222−22−2
χ252-22-2-2200022-2-2-2-22222-2-22222-2-2-2-2-2-22222-2-200000000000000000000000022-2-20000-220000000000000000000i2−i2−i2i2i2−i2−i2i2
χ262-22-2-2200022-2-2-2-22222-2-22222-2-2-2-2-2-22222-2-200000000000000000000000022-2-20000-220000000000000000000−i2i2i2−i2−i2i2i2−i2
χ272-22-2-2200022-2-2-2-22222-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000-2-22200002-200000000000000000002−2−22−222−2
χ282-22-2-2200022-2-2-2-22222-2-22222-2-2-2-2-2-22222-2-2000000000000000000000000-2-22200002-20000000000000000000−222−22−2−22
χ292-2-22002-2022-2-222-2-2220000-2-2-2-2000000002222-2-200002222-2-2-2-2000000002-22-20000002-2000000000002i−2i002i−2i00000000
χ302-2-22002-2022-2-222-2-2220000-2-2-2-2000000002222-2-200002222-2-2-2-2000000002-22-20000002-200000000000−2i2i00−2i2i00000000
χ312-2-22002-2022-2-222-2-2220000-2-2-2-2000000002222-2-200002222-2-2-2-200000000-22-22000000-22000000000002-200-2200000000
χ322-2-22002-2022-2-222-2-2220000-2-2-2-2000000002222-2-200002222-2-2-2-200000000-22-22000000-2200000000000-22002-200000000
χ332-2-2200-22022-2-222-2-2220000-2-2-2-20000000022-2-2220000-2-2-2-22222000000002-22-2000000-220000000002i−2i002i−2i0000000000
χ342-2-2200-22022-2-222-2-2220000-2-2-2-20000000022-2-2220000-2-2-2-22222000000002-22-2000000-22000000000−2i2i00−2i2i0000000000
χ352-2-2200-22022-2-222-2-2220000-2-2-2-20000000022-2-2220000-2-2-2-2222200000000-22-220000002-20000000002-200-220000000000
χ362-2-2200-22022-2-222-2-2220000-2-2-2-20000000022-2-2220000-2-2-2-2222200000000-22-220000002-2000000000-22002-20000000000
χ374444444444-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000404000000-1-100-1-100000000000000000
χ384444444444-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-40-400000011001100000000000000000
χ39444444444-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000040400000-1-100-1-10000000000000000000
χ40444444444-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-40-4000001100110000000000000000000
χ41444444-4-4-44-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-41-41-4-4111111111111111111000000000000005−5005−500000000000000000
χ42444444-4-4-44-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-41-41-4-411111111111111111100000000000000−5500−5500000000000000000
χ43444444-4-4-4-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41-411-4-411111111111111110000000000005−5005−50000000000000000000
χ44444444-4-4-4-14-14-14-14-1-1-14-14-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41-411-4-41111111111111111000000000000−5500−550000000000000000000
χ454444-4-444-44-14-14-14-1-1-1-41-41-1-1-1-111111111-1-14-14-1-4-411-1-1-1-1-1-1-1-1111111110000040-4000000-1-1001100000000000000000
χ464444-4-444-44-14-14-14-1-1-1-41-41-1-1-1-111111111-1-14-14-1-4-411-1-1-1-1-1-1-1-11111111100000-4040000001100-1-100000000000000000
χ474444-4-444-4-14-14-14-14-1-11-41-4-1-1-1-111111111-1-1-14-1411-4-4-1-1-1-1-1-1-1-111111111000040-400000-1-100110000000000000000000
χ484444-4-444-4-14-14-14-14-1-11-41-4-1-1-1-111111111-1-1-14-1411-4-4-1-1-1-1-1-1-1-1111111110000-404000001100-1-10000000000000000000
χ494444-4-4-4-444-14-14-14-1-1-1-41-41-1-1-1-111111111-1-1-41-4144-1-111111111-1-1-1-1-1-1-1-1000000000000005−500−5500000000000000000
χ504444-4-4-4-444-14-14-14-1-1-1-41-41-1-1-1-111111111-1-1-41-4144-1-111111111-1-1-1-1-1-1-1-100000000000000−55005−500000000000000000
χ514444-4-4-4-44-14-14-14-14-1-11-41-4-1-1-1-111111111-1-11-41-4-1-14411111111-1-1-1-1-1-1-1-10000000000005−500−550000000000000000000
χ524444-4-4-4-44-14-14-14-14-1-11-41-4-1-1-1-111111111-1-11-41-4-1-14411111111-1-1-1-1-1-1-1-1000000000000−55005−50000000000000000000
χ5344-4-4000004444-4-4-4-4440000-4-44400000000-4-40000000000000000000000004-4-44000000000000000000000000000000000
χ5444-4-4000004444-4-4-4-4440000-4-44400000000-4-4000000000000000000000000-444-4000000000000000000000000000000000
χ55888888888-2-2-2-2-2-2-2-23-2-2-2-2-23-23-233-2-233-2-23-2-2-2-2-2-2-2-2-233-2-233-2-23333-2-2-2-20000000000000000000000000000000000000
χ56888888888-2-2-2-2-2-2-2-2-23-2-2-2-2-23-23-2-233-2-233-23-2-2-2-2-2-2-2-2-2-233-2-233-2-2-2-233330000000000000000000000000000000000000
χ57888888-8-8-8-2-2-2-2-2-2-2-23-2-2-2-2-23-23-233-2-233-2-23-222222222-3-322-3-322-3-3-3-322220000000000000000000000000000000000000
χ58888888-8-8-8-2-2-2-2-2-2-2-2-23-2-2-2-2-23-23-2-233-2-233-232222222222-3-322-3-32222-3-3-3-30000000000000000000000000000000000000
χ598888-8-888-8-2-2-2-2-2-2-2-23-222223-23-2-3-322-3-3223-2-2-2-2-2222233-2-233-2-2-3-3-3-322220000000000000000000000000000000000000
χ608888-8-888-8-2-2-2-2-2-2-2-2-232222-23-2322-3-322-3-3-23-2-2-2-22222-2-233-2-2332222-3-3-3-30000000000000000000000000000000000000
χ618888-8-8-8-88-2-2-2-2-2-2-2-23-222223-23-2-3-322-3-3223-22222-2-2-2-2-3-322-3-3223333-2-2-2-20000000000000000000000000000000000000
χ628888-8-8-8-88-2-2-2-2-2-2-2-2-232222-23-2322-3-322-3-3-232222-2-2-2-222-3-322-3-3-2-2-2-233330000000000000000000000000000000000000
χ6388-8-8000008-28-2-82-82-2-2000022-2-200000000220000002i5−2i5000000002i52i5−2i5−2i52i52i5−2i5−2i50000000000000000000000000000000000000
χ6488-8-8000008-28-2-82-82-2-2000022-2-20000000022000000−2i52i500000000−2i5−2i52i52i5−2i5−2i52i52i50000000000000000000000000000000000000
χ6588-8-800000-28-282-82-8-2-2000022-2-2000000002200002i5−2i500000000002i52i5−2i5−2i5−2i5−2i52i52i50000000000000000000000000000000000000
χ6688-8-800000-28-282-82-8-2-2000022-2-200000000220000−2i52i50000000000−2i5−2i52i52i52i52i5−2i5−2i50000000000000000000000000000000000000
χ6788-8-800000-2-2-2-222223-20000-323-25-5005-500-3200002i5−2i52i5−2i5i5−i52i5−2i5i5−i52i5−2i5−i5−i5i5i500000000000000000000000000000000000000000
χ6888-8-800000-2-2-2-222223-20000-323-25-5005-500-320000−2i52i5−2i52i5−i5i5−2i52i5−i5i5−2i52i5i5i5−i5−i500000000000000000000000000000000000000000
χ6988-8-800000-2-2-2-222223-20000-323-2-5500-5500-3200002i5−2i52i5−2i5−i5i5−2i52i5−i5i5−2i52i5−i5−i5i5i500000000000000000000000000000000000000000
χ7088-8-800000-2-2-2-222223-20000-323-2-5500-5500-320000−2i52i5−2i52i5i5−i52i5−2i5i5−i52i5−2i5i5i5−i5−i500000000000000000000000000000000000000000
χ7188-8-800000-2-2-2-22222-2300002-3-23005-5005-52-300002i5−2i5−2i52i52i5−2i5−i5i52i5−2i5−i5i50000i5i5−i5−i50000000000000000000000000000000000000
χ7288-8-800000-2-2-2-22222-2300002-3-23005-5005-52-30000−2i52i52i5−2i5−2i52i5i5−i5−2i52i5i5−i50000−i5−i5i5i50000000000000000000000000000000000000
χ7388-8-800000-2-2-2-22222-2300002-3-2300-5500-552-300002i5−2i5−2i52i5−2i52i5i5−i5−2i52i5i5−i50000i5i5−i5−i50000000000000000000000000000000000000
χ7488-8-800000-2-2-2-22222-2300002-3-2300-5500-552-30000−2i52i52i5−2i52i5−2i5−i5i52i5−2i5−i5i50000−i5−i5i5i50000000000000000000000000000000000000
χ758-88-88-80008-2-82-828-2-2-28-2-82-2-222-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ768-88-88-8000-282-82-8-28-2-2-282-8-2-222-2-2-2-22222220000000000000000000000000000000000000000000000000000000000000
χ778-88-88-8000-2-22222-2-23-2-2-2223-2-3233-2-2-3-322-3200000000i5−i52i5−2i5−i5i5−2i52i5i5−i5i5−i52i5−2i52i5−2i50000000000000000000000000000000000000
χ788-88-88-8000-2-22222-2-23-2-2-2223-2-3233-2-2-3-322-3200000000−i5i5−2i52i5i5−i52i5−2i5−i5i5−i5i5−2i52i5−2i52i50000000000000000000000000000000000000
χ798-88-88-8000-2-22222-2-2-23-2-222-232-3-2-23322-3-32-3000000002i5−2i5−i5i5−2i52i5i5−i52i5−2i52i5−2i5−i5i5−i5i50000000000000000000000000000000000000
χ808-88-88-8000-2-22222-2-2-23-2-222-232-3-2-23322-3-32-300000000−2i52i5i5−i52i5−2i5−i5i5−2i52i5−2i52i5i5−i5i5−i50000000000000000000000000000000000000
χ818-88-8-880008-2-82-828-2-2-2-828-2-2-2222222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000
χ828-88-8-88000-282-82-8-28-2-22-8-28-2-2222222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000
χ838-88-8-88000-2-22222-2-23-222-2-23-2-32-3-32233-2-2-3200000000i5−i52i5−2i5−i5i5−2i52i5−i5i5−i5i5−2i52i5−2i52i50000000000000000000000000000000000000
χ848-88-8-88000-2-22222-2-23-222-2-23-2-32-3-32233-2-2-3200000000−i5i5−2i52i5i5−i52i5−2i5i5−i5i5−i52i5−2i52i5−2i50000000000000000000000000000000000000
χ858-88-8-88000-2-22222-2-2-2322-2-2-232-322-3-3-2-2332-3000000002i5−2i5−i5i5−2i52i5i5−i5−2i52i5−2i52i5i5−i5i5−i50000000000000000000000000000000000000
χ868-88-8-88000-2-22222-2-2-2322-2-2-232-322-3-3-2-2332-300000000−2i52i5i5−i52i5−2i5−i5i52i5−2i52i5−2i5−i5i5−i5i50000000000000000000000000000000000000
χ878-8-88008-808-2-828-2-82-2-20000222200000000-2-28-2-820000-2-2-2-22222000000000000000000000000000000000000000000000
χ888-8-88008-80-282-8-282-8-2-20000222200000000-2-2-282-80000-2-2-2-22222000000000000000000000000000000000000000000000
χ898-8-88008-80-2-222-2-2223-20000-32-325-500-55003-2-2-222000033-2-2-3-3225-5-5500000000000000000000000000000000000000000
χ908-8-88008-80-2-222-2-2223-20000-32-32-55005-5003-2-2-222000033-2-2-3-322-555-500000000000000000000000000000000000000000
χ918-8-88008-80-2-222-2-222-2300002-32-3005-500-55-23-2-2220000-2-23322-3-300005-5-550000000000000000000000000000000000000
χ928-8-88008-80-2-222-2-222-2300002-32-300-55005-5-23-2-2220000-2-23322-3-30000-555-50000000000000000000000000000000000000
χ938-8-8800-8808-2-828-2-82-2-20000222200000000-2-2-828-200002222-2-2-2-2000000000000000000000000000000000000000000000
χ948-8-8800-880-282-8-282-8-2-20000222200000000-2-22-8-2800002222-2-2-2-2000000000000000000000000000000000000000000000
χ958-8-8800-880-2-222-2-2223-20000-32-325-500-55003-222-2-20000-3-32233-2-2-555-500000000000000000000000000000000000000000
χ968-8-8800-880-2-222-2-2223-20000-32-32-55005-5003-222-2-20000-3-32233-2-25-5-5500000000000000000000000000000000000000000
χ978-8-8800-880-2-222-2-222-2300002-32-3005-500-55-2322-2-2000022-3-3-2-2330000-555-50000000000000000000000000000000000000
χ988-8-8800-880-2-222-2-222-2300002-32-300-55005-5-2322-2-2000022-3-3-2-23300005-5-550000000000000000000000000000000000000

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