Finite Group Databasebeta

← Group #13103984

Character table — Group #13103984

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size1111444444444888888888888888888881010101020202525252540404040404040405050505050505050100100100100100
order122245510101010101055101010101010202020202020202020202020444444222220202020202020204444444444444
χ11111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1
χ311111111111111111111111111111111111-1-11-1-1-1-1-111-1-111-1-1ii−i−iii−i−i-1i−ii−i
χ411111111111111111111111111111111111-1-11-1-1-1-1-111-1-111-1-1−i−iii−i−iii-1−ii−ii
χ5111111111111111111111111111111111-1-111-11-1-1-1-1-1-111-1-111ii−i−i−i−iii-1i−i−ii
χ6111111111111111111111111111111111-1-111-11-1-1-1-1-1-111-1-111−i−iiiii−i−i-1−iii−i
χ7111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1
χ8111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111
χ91111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111111111-1-1-1-1-1
χ101111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111
χ111111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-11111-1-1ii−i−iii−i−i1−ii−ii
χ121111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1-1-1-11111-1-1−i−iii−i−iii1i−ii−i
χ131111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111ii−i−i−i−iii1−iii−i
χ141111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111−i−iiiii−i−i1i−i−ii
χ151111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-111
χ161111-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-111-1-1
χ1722-2-202222-2-2-2-22222-2-2-2-200000000000000000022-2-2000000002-22-2000000000
χ1822-2-202222-2-2-2-22222-2-2-2-200000000000000000022-2-200000000-22-22000000000
χ1922-2-202222-2-2-2-22222-2-2-2-2000000000000000000-2-222000000002i−2i−2i2i000000000
χ2022-2-202222-2-2-2-22222-2-2-2-2000000000000000000-2-22200000000−2i2i2i−2i000000000
χ212-22-2022-2-222-2-222-2-222-2-20000000000002i−2i2i−2i002-2-2200002i−2i2i−2i0000000000000
χ222-22-2022-2-222-2-222-2-222-2-20000000000002i−2i−2i2i00-222-200002i−2i−2i2i0000000000000
χ232-22-2022-2-222-2-222-2-222-2-2000000000000−2i2i2i−2i00-222-20000−2i2i2i−2i0000000000000
χ242-22-2022-2-222-2-222-2-222-2-2000000000000−2i2i−2i2i002-2-220000−2i2i−2i2i0000000000000
χ252-2-22022-2-2-2-22222-2-2-2-2220000000000000000002-22-20000000000002i−2i2i−2i00000
χ262-2-22022-2-2-2-22222-2-2-2-2220000000000000000002-22-2000000000000−2i2i−2i2i00000
χ272-2-22022-2-2-2-22222-2-2-2-222000000000000000000-22-220000000000002-2-2200000
χ282-2-22022-2-2-2-22222-2-2-2-222000000000000000000-22-22000000000000-222-200000
χ29444444-14-14-14-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-1004404000000-1-100-1-10000000000000
χ30444444-14-14-14-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-1-100-4-40-40000001100110000000000000
χ3144444-14-14-14-14-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-14400400000-1-100-1-1000000000000000
χ3244444-14-14-14-14-1-1-1-1-1-1-1-1-1-144-1-1-1-1-1-1-1-1-4-400-400000110011000000000000000
χ334444-44-14-14-14-1-1-1-1-1-1-1-1-1-4-4111111111100440-40000001100-1-10000000000000
χ344444-44-14-14-14-1-1-1-1-1-1-1-1-1-4-4111111111100-4-404000000-1-100110000000000000
χ354444-4-14-14-14-14-1-1-1-1-1-1-1-111-4-4111111114400-4000001100-1-1000000000000000
χ364444-4-14-14-14-14-1-1-1-1-1-1-1-111-4-411111111-4-400400000-1-10011000000000000000
χ374-44-404-1-414-1-41-1-111-1-11100i5−i5i5i5i5i5−i5−i5−i5−i5004i−4i000000005−500−ii0000000000000
χ384-44-404-1-414-1-41-1-111-1-11100i5−i5i5i5i5i5−i5−i5−i5−i500−4i4i00000000−5500i−i0000000000000
χ394-44-404-1-414-1-41-1-111-1-11100−i5i5−i5−i5−i5−i5i5i5i5i5004i−4i00000000−5500−ii0000000000000
χ404-44-404-1-414-1-41-1-111-1-11100−i5i5−i5−i5−i5−i5i5i5i5i500−4i4i000000005−500i−i0000000000000
χ414-44-40-141-4-141-4-1-111-1-111i5−i500i5i5−i5−i5i5i5−i5−i54i−4i000000005−500−ii000000000000000
χ424-44-40-141-4-141-4-1-111-1-111i5−i500i5i5−i5−i5i5i5−i5−i5−4i4i00000000−5500i−i000000000000000
χ434-44-40-141-4-141-4-1-111-1-111−i5i500−i5−i5i5i5−i5−i5i5i54i−4i00000000−5500−ii000000000000000
χ444-44-40-141-4-141-4-1-111-1-111−i5i500−i5−i5i5i5−i5−i5i5i5−4i4i000000005−500i−i000000000000000
χ4588888-2-2-2-2-2-2-2-23-23-23-23-2-2-2-2-233-2-2-2-2330000000000000000000000000000000
χ4688888-2-2-2-2-2-2-2-2-23-23-23-23-2-2-2-2-2-23333-2-20000000000000000000000000000000
χ478888-8-2-2-2-2-2-2-2-23-23-23-23-22222-3-32222-3-30000000000000000000000000000000
χ488888-8-2-2-2-2-2-2-2-2-23-23-23-23222222-3-3-3-3220000000000000000000000000000000
χ4988-8-808-28-2-82-82-2-2-2-222220000000000000000000000000000000000000000000
χ5088-8-80-28-282-82-8-2-2-2-222220000000000000000000000000000000000000000000
χ5188-8-80-2-2-2-222223-23-2-32-3200005i−5i00005i−5i0000000000000000000000000000000
χ5288-8-80-2-2-2-222223-23-2-32-320000−5i5i0000−5i5i0000000000000000000000000000000
χ5388-8-80-2-2-2-22222-23-232-32-30000005i−5i5i−5i000000000000000000000000000000000
χ5488-8-80-2-2-2-22222-23-232-32-3000000−5i5i−5i5i000000000000000000000000000000000
χ558-88-80-2-222-2-2223-2-323-2-322i5−2i52i5−2i5−i5−i50000i5i50000000000000000000000000000000
χ568-88-80-2-222-2-2223-2-323-2-32−2i52i5−2i52i5i5i50000−i5−i50000000000000000000000000000000
χ578-88-80-2-222-2-222-232-3-232-32i5−2i5−2i52i500i5i5−i5−i5000000000000000000000000000000000
χ588-88-80-2-222-2-222-232-3-232-3−2i52i52i5−2i500−i5−i5i5i5000000000000000000000000000000000
χ598-8-8808-2-82-828-2-2-22222-2-20000000000000000000000000000000000000000000
χ608-8-880-282-82-8-28-2-22222-2-20000000000000000000000000000000000000000000
χ618-8-880-2-22222-2-23-2-32-323-200005−525−25−2525−550000000000000000000000000000000
χ628-8-880-2-22222-2-23-2-32-323-20000−55−252525−255−50000000000000000000000000000000
χ638-8-880-2-22222-2-2-232-32-3-23000025−25−555−5−25250000000000000000000000000000000
χ648-8-880-2-22222-2-2-232-32-3-230000−25255−5−5525−250000000000000000000000000000000

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