Finite Group Databasebeta

← Group #72242622

Character table — Group #72242622

Order 3200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122444444444488888888888888888888888888888888888888888888252525254040404050508080808080808080100100100100100100100100100100200200200200
order1222442455101010101010551010101010101010101010101010101010102020202020202020202020202020202020202020202020202222444444202020202020202024888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-111-1-111-1-1-1-1iiii−i−i−i−iii−i−i
χ6111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-1-1-111-1-111-1-1-1-1−i−i−i−iiiii−i−iii
χ7111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-111-1-111-1-1iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-111-1-111-1-1−i−i−i−iiiiiii−i−i
χ9111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-111-1-1-11-11
χ12111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1111-11-1
χ13111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111ii−i−i−i−iiii−i−ii
χ14111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-11111−i−iiiii−i−i−iii−i
χ15111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111ii−i−i−i−iii−iii−i
χ16111111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111−i−iiiii−i−ii−i−ii
χ172222-2-22-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222220000-2-2000000002-2000000000000
χ182222-2-22-22222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200002200000000-22000000000000
χ192222-2-2-222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222222222220000-2-200000000-22000000000000
χ202222-2-2-222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2000022000000002-2000000000000
χ212-2-222-20022-2-2-2-222220000-2-2-2-2000000002222-2-200002222-2-2-2-2000000002-22-200002-20000000000002i−2i002i−2i0000
χ222-2-222-20022-2-2-2-222220000-2-2-2-2000000002222-2-200002222-2-2-2-2000000002-22-200002-2000000000000−2i2i00−2i2i0000
χ232-2-222-20022-2-2-2-222220000-2-2-2-2000000002222-2-200002222-2-2-2-200000000-22-220000-220000000000002-200-220000
χ242-2-222-20022-2-2-2-222220000-2-2-2-2000000002222-2-200002222-2-2-2-200000000-22-220000-22000000000000-22002-20000
χ252-2-22-220022-2-2-2-222220000-2-2-2-20000000022-2-2220000-2-2-2-22222000000002-22-20000-2200000000002-2002-2000000
χ262-2-22-220022-2-2-2-222220000-2-2-2-20000000022-2-2220000-2-2-2-22222000000002-22-20000-220000000000-2200-22000000
χ272-2-22-220022-2-2-2-222220000-2-2-2-20000000022-2-2220000-2-2-2-2222200000000-22-2200002-200000000002i−2i00−2i2i000000
χ282-2-22-220022-2-2-2-222220000-2-2-2-20000000022-2-2220000-2-2-2-2222200000000-22-2200002-20000000000−2i2i002i−2i000000
χ29444444444-14-14-14-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000004040000-1-100-1-100000000000000
χ30444444444-14-14-14-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-40-4000011001100000000000000
χ3144444444-14-14-14-14-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000404000-1-100-1-10000000000000000
χ3244444444-14-14-14-14-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-14-14-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-40-40001100110000000000000000
χ33444444-4-44-14-14-14-1-1-1-4-411-1-1-1-111111111-1-14-14-1-4-411-1-1-1-1-1-1-1-1111111110000040-40000-1-1001100000000000000
χ34444444-4-44-14-14-14-1-1-1-4-411-1-1-1-111111111-1-14-14-1-4-411-1-1-1-1-1-1-1-11111111100000-40400001100-1-100000000000000
χ35444444-4-4-14-14-14-14-1-111-4-4-1-1-1-111111111-1-1-14-1411-4-4-1-1-1-1-1-1-1-111111111000040-4000-1-100110000000000000000
χ36444444-4-4-14-14-14-14-1-111-4-4-1-1-1-111111111-1-1-14-1411-4-4-1-1-1-1-1-1-1-1111111110000-4040001100-1-10000000000000000
χ374444-4-44-44-14-14-14-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-41-41-4-41111111111111111110000000000005−5005−500000000000000
χ384444-4-44-44-14-14-14-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-41-41-4-4111111111111111111000000000000−5500−5500000000000000
χ394444-4-44-4-14-14-14-14-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41-411-4-4111111111111111100000000005−5005−50000000000000000
χ404444-4-44-4-14-14-14-14-1-1-1-144-1-1-1-1-1-1-1-1-1-1-1-1-1-11-41-411-4-411111111111111110000000000−5500−550000000000000000
χ414444-4-4-444-14-14-14-1-1-1-4-411-1-1-1-111111111-1-1-41-4144-1-111111111-1-1-1-1-1-1-1-10000000000005−500−5500000000000000
χ424444-4-4-444-14-14-14-1-1-1-4-411-1-1-1-111111111-1-1-41-4144-1-111111111-1-1-1-1-1-1-1-1000000000000−55005−500000000000000
χ434444-4-4-44-14-14-14-14-1-111-4-4-1-1-1-111111111-1-11-41-4-1-14411111111-1-1-1-1-1-1-1-100000000005−500−550000000000000000
χ444444-4-4-44-14-14-14-14-1-111-4-4-1-1-1-111111111-1-11-41-4-1-14411111111-1-1-1-1-1-1-1-10000000000−55005−50000000000000000
χ4544-4-400004444-4-4-4-444000044-4-400000000-4-40000000000000000000000004-4-440000000000000000000000000000
χ4644-4-400004444-4-4-4-444000044-4-400000000-4-4000000000000000000000000-444-40000000000000000000000000000
χ474-44-4000044-4-444-4-4440000-4-44400000000-4-400000000000000000000000044-4-40000000000000000000000000000
χ484-44-4000044-4-444-4-4440000-4-44400000000-4-4000000000000000000000000-4-4440000000000000000000000000000
χ4988888888-2-2-2-2-2-2-2-23-2-2-2-2-23-23-23333-2-2-2-23-2-2-2-2-2-2-2-2-233-2-233-2-23333-2-2-2-200000000000000000000000000000000
χ5088888888-2-2-2-2-2-2-2-2-23-2-2-2-2-23-23-2-2-2-23333-23-2-2-2-2-2-2-2-2-2-233-2-233-2-2-2-2333300000000000000000000000000000000
χ51888888-8-8-2-2-2-2-2-2-2-23-222223-23-2-3-3-3-322223-2-2-2-2-2222233-2-233-2-2-3-3-3-3222200000000000000000000000000000000
χ52888888-8-8-2-2-2-2-2-2-2-2-232222-23-232222-3-3-3-3-23-2-2-2-22222-2-233-2-2332222-3-3-3-300000000000000000000000000000000
χ538888-8-88-8-2-2-2-2-2-2-2-23-2-2-2-2-23-23-23333-2-2-2-23-222222222-3-322-3-322-3-3-3-3222200000000000000000000000000000000
χ548888-8-88-8-2-2-2-2-2-2-2-2-23-2-2-2-2-23-23-2-2-2-23333-232222222222-3-322-3-32222-3-3-3-300000000000000000000000000000000
χ558888-8-8-88-2-2-2-2-2-2-2-23-222223-23-2-3-3-3-322223-22222-2-2-2-2-3-322-3-3223333-2-2-2-200000000000000000000000000000000
χ568888-8-8-88-2-2-2-2-2-2-2-2-232222-23-232222-3-3-3-3-232222-2-2-2-222-3-322-3-3-2-2-2-2333300000000000000000000000000000000
χ5788-8-800008-28-2-82-82-2-20025−25-2-2222525−25−252525−25−252200000000000000000000000000000000000000000000000000000000
χ5888-8-800008-28-2-82-82-2-200−2525-2-222−25−252525−25−2525252200000000000000000000000000000000000000000000000000000000
χ5988-8-80000-28-282-82-8-2-225−2500-2-2222525−25−25−25−2525252200000000000000000000000000000000000000000000000000000000
χ6088-8-80000-28-282-82-8-2-2−252500-2-222−25−2525252525−25−252200000000000000000000000000000000000000000000000000000000
χ6188-8-80000-2-2-2-222223-225−2525−253-2-32−5−5550000-32000000005i−5i005i−5i00i5i5−i5−i52i52i5−2i5−2i500000000000000000000000000000000
χ6288-8-80000-2-2-2-222223-225−2525−253-2-32−5−5550000-3200000000−5i5i00−5i5i00−i5−i5i5i5−2i5−2i52i52i500000000000000000000000000000000
χ6388-8-80000-2-2-2-222223-2−2525−25253-2-3255−5−50000-32000000005i−5i005i−5i00−i5−i5i5i5−2i5−2i52i52i500000000000000000000000000000000
χ6488-8-80000-2-2-2-222223-2−2525−25253-2-3255−5−50000-3200000000−5i5i00−5i5i00i5i5−i5−i52i52i5−2i5−2i500000000000000000000000000000000
χ6588-8-80000-2-2-2-22222-2325−25−2525-232-3000055−5−52-300000000005i−5i005i−5i2i52i5−2i5−2i5−i5−i5i5i500000000000000000000000000000000
χ6688-8-80000-2-2-2-22222-2325−25−2525-232-3000055−5−52-30000000000−5i5i00−5i5i−2i5−2i52i52i5i5i5−i5−i500000000000000000000000000000000
χ6788-8-80000-2-2-2-22222-23−252525−25-232-30000−5−5552-300000000005i−5i005i−5i−2i5−2i52i52i5i5i5−i5−i500000000000000000000000000000000
χ6888-8-80000-2-2-2-22222-23−252525−25-232-30000−5−5552-30000000000−5i5i00−5i5i2i52i5−2i5−2i5−i5−i5i5i500000000000000000000000000000000
χ698-88-800008-2-828-2-82-2-2000022-2-200000000220000002i5−2i5000000002i5−2i52i5−2i52i5−2i52i5−2i500000000000000000000000000000000
χ708-88-800008-2-828-2-82-2-2000022-2-20000000022000000−2i52i500000000−2i52i5−2i52i5−2i52i5−2i52i500000000000000000000000000000000
χ718-88-80000-282-8-282-8-2-2000022-2-2000000002200002i5−2i500000000002i5−2i52i5−2i5−2i52i5−2i52i500000000000000000000000000000000
χ728-88-80000-282-8-282-8-2-2000022-2-200000000220000−2i52i50000000000−2i52i5−2i52i52i5−2i52i5−2i500000000000000000000000000000000
χ738-88-80000-2-222-2-2223-20000-323-25−55−525−2525−25-3200002i5−2i52i5−2i55i−5i00−5i5i00−i5i5−i5i5000000000000000000000000000000000000
χ748-88-80000-2-222-2-2223-20000-323-25−55−525−2525−25-320000−2i52i5−2i52i5−5i5i005i−5i00i5−i5i5−i5000000000000000000000000000000000000
χ758-88-80000-2-222-2-2223-20000-323-2−55−55−2525−2525-3200002i5−2i52i5−2i5−5i5i005i−5i00−i5i5−i5i5000000000000000000000000000000000000
χ768-88-80000-2-222-2-2223-20000-323-2−55−55−2525−2525-320000−2i52i5−2i52i55i−5i00−5i5i00i5−i5i5−i5000000000000000000000000000000000000
χ778-88-80000-2-222-2-222-2300002-3-2325−2525−25−55−552-300002i5−2i5−2i52i5005i−5i00−5i5i0000i5−i5i5−i500000000000000000000000000000000
χ788-88-80000-2-222-2-222-2300002-3-2325−2525−25−55−552-30000−2i52i52i5−2i500−5i5i005i−5i0000−i5i5−i5i500000000000000000000000000000000
χ798-88-80000-2-222-2-222-2300002-3-23−2525−25255−55−52-300002i5−2i5−2i52i500−5i5i005i−5i0000i5−i5i5−i500000000000000000000000000000000
χ808-88-80000-2-222-2-222-2300002-3-23−2525−25255−55−52-30000−2i52i52i5−2i5005i−5i00−5i5i0000−i5i5−i5i500000000000000000000000000000000
χ818-8-888-8008-2-82-828-2-2-20000222200000000-2-28-2-820000-2-2-2-222220000000000000000000000000000000000000000
χ828-8-888-800-282-82-8-28-2-20000222200000000-2-2-282-80000-2-2-2-222220000000000000000000000000000000000000000
χ838-8-888-800-2-22222-2-23-20000-32-325-5-5500003-2-2-222000033-2-2-3-3225-5-55000000000000000000000000000000000000
χ848-8-888-800-2-22222-2-23-20000-32-32-555-500003-2-2-222000033-2-2-3-322-555-5000000000000000000000000000000000000
χ858-8-888-800-2-22222-2-2-2300002-32-300005-5-55-23-2-2220000-2-23322-3-300005-5-5500000000000000000000000000000000
χ868-8-888-800-2-22222-2-2-2300002-32-30000-555-5-23-2-2220000-2-23322-3-30000-555-500000000000000000000000000000000
χ878-8-88-88008-2-82-828-2-2-20000222200000000-2-2-828-200002222-2-2-2-20000000000000000000000000000000000000000
χ888-8-88-8800-282-82-8-28-2-20000222200000000-2-22-8-2800002222-2-2-2-20000000000000000000000000000000000000000
χ898-8-88-8800-2-22222-2-23-20000-32-325-5-5500003-222-2-20000-3-32233-2-2-555-5000000000000000000000000000000000000
χ908-8-88-8800-2-22222-2-23-20000-32-32-555-500003-222-2-20000-3-32233-2-25-5-55000000000000000000000000000000000000
χ918-8-88-8800-2-22222-2-2-2300002-32-300005-5-55-2322-2-2000022-3-3-2-2330000-555-500000000000000000000000000000000
χ928-8-88-8800-2-22222-2-2-2300002-32-30000-555-5-2322-2-2000022-3-3-2-23300005-5-5500000000000000000000000000000000

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