Finite Group Databasebeta

← Group #11752012

Character table — Group #11752012

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060
order1222223666566101010101010104444444415303030303030304412121212202020202020202088881212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i
χ91111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-11-11
χ111111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111-11-11
χ121111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111-11-1
χ131111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111i−i−ii
χ141111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111−iii−i
χ151111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−ii11ii−i−i−i−iii11-1-1−iii−i
χ161111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i11−i−iiiii−i−i11-1-1i−i−ii
χ17222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-11111111100000000
χ19222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii00000000
χ20222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i00000000
χ212222-2-2-1-1-1-121122-2-2-2-2222220000-1-1-1-11111-2-2-1-1-1-1000000002-22-211-1-111-1-11100000000
χ222222-2-2-1-1-1-121122-2-2-2-2222220000-1-1-1-11111-2-2-1-1-1-100000000-22-221111-1-111-1-100000000
χ232222-2-2-1-1-1-121122-2-2-2-22-2-2-2-20000-1-1-1-11111221111000000002i−2i−2i2i-1-1−i−iiiii−i−i00000000
χ242222-2-2-1-1-1-121122-2-2-2-22-2-2-2-20000-1-1-1-1111122111100000000−2i2i2i−2i-1-1ii−i−i−i−iii00000000
χ2522-2-20022-2-2200-2-2000022i−2i2i−2i002-222-2-20000002i−2i2i−2i000022-2-200000000000000002i−2i0000
χ2622-2-20022-2-2200-2-2000022i−2i2i−2i00-2222-2-20000002i−2i2i−2i0000-2-2220000000000000000−2i2i0000
χ2722-2-20022-2-2200-2-200002−2i2i−2i2i002-222-2-2000000−2i2i−2i2i000022-2-20000000000000000−2i2i0000
χ2822-2-20022-2-2200-2-200002−2i2i−2i2i00-2222-2-2000000−2i2i−2i2i0000-2-22200000000000000002i−2i0000
χ292-22-22-22-2-2222-22-222-2-2-222-2-200002-22-222-2-22-222-2-20000000000002-20000000000000000
χ302-22-22-22-2-2222-22-222-2-2-2-2-22200002-22-222-2-2-22-2-222000000000000-220000000000000000
χ312-22-22-2-111-12-112-222-2-2-222-2-20000-11-11-1-1112-2-1-111000000000000-113−33−33−33−300000000
χ322-22-22-2-111-12-112-222-2-2-222-2-20000-11-11-1-1112-2-1-111000000000000-11−33−33−33−3300000000
χ332-22-22-2-111-12-112-222-2-2-2-2-2220000-11-11-1-111-2211-1-10000000000001-1−i3i3−i3i3i3−i3i3−i300000000
χ342-22-22-2-111-12-112-222-2-2-2-2-2220000-11-11-1-111-2211-1-10000000000001-1i3−i3i3−i3−i3i3−i3i300000000
χ352-22-2-222-2-222-222-2-2-222-222-2-200002-22-2-2-222-2222-2-2000000000000-220000000000000000
χ362-22-2-222-2-222-222-2-2-222-2-2-22200002-22-2-2-2222-2-2-2220000000000002-20000000000000000
χ372-22-2-22-111-121-12-2-2-222-222-2-20000-11-1111-1-1-22-1-1110000000000001-13−3−333−3−3300000000
χ382-22-2-22-111-121-12-2-2-222-222-2-20000-11-1111-1-1-22-1-1110000000000001-1−333−3−333−300000000
χ392-22-2-22-111-121-12-2-2-222-2-2-2220000-11-1111-1-12-211-1-1000000000000-11−i3i3i3−i3i3−i3−i3i300000000
χ402-22-2-22-111-121-12-2-2-222-2-2-2220000-11-1111-1-12-211-1-1000000000000-11i3−i3−i3i3−i3i3i3−i300000000
χ412-2-22002-22-2200-220000-22i−2i−2i2i2i−2i002-2-220000002i−2i−2i2i2i2i−2i−2i0000000000000000002-2000000
χ422-2-22002-22-2200-220000-22i−2i−2i2i−2i2i002-2-220000002i−2i−2i2i−2i−2i2i2i000000000000000000-22000000
χ432-2-22002-22-2200-220000-2−2i2i2i−2i2i−2i002-2-22000000−2i2i2i−2i2i2i−2i−2i000000000000000000-22000000
χ442-2-22002-22-2200-220000-2−2i2i2i−2i−2i2i002-2-22000000−2i2i2i−2i−2i−2i2i2i0000000000000000002-2000000
χ454444444444-144-1-1-1-1-1-1-100004444-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-10000000000000000000000
χ464444444444-144-1-1-1-1-1-1-10000-4-4-4-4-1-1-1-1-1-1-1-1000000111111110000000000000000000000
χ474444-4-44444-1-4-4-1-11111-1000044-4-4-1-1-1-11111000000-1-1-1-111110000000000000000000000
χ484444-4-44444-1-4-4-1-11111-10000-4-444-1-1-1-111110000001111-1-1-1-10000000000000000000000
χ4944-4-40044-4-4-10011−55−55-10000004-4-1-111−55−55000000−55−55-1-1110000000000000000000000
χ5044-4-40044-4-4-10011−55−55-1000000-44-1-111−55−550000005−55−511-1-10000000000000000000000
χ5144-4-40044-4-4-100115−55−5-10000004-4-1-1115−55−50000005−55−5-1-1110000000000000000000000
χ5244-4-40044-4-4-100115−55−5-1000000-44-1-1115−55−5000000−55−5511-1-10000000000000000000000
χ5344-4-400-2-222400-4-4000044i−4i4i−4i0000-2-222000000−2i2i−2i2i000000000000000000000000000000
χ5444-4-400-2-222400-4-400004−4i4i−4i4i0000-2-2220000002i−2i2i−2i000000000000000000000000000000
χ554-44-44-44-4-44-14-4-11-1-111100000000-11-11-1-111000000−i5i5i5−i5−i5i5−i5i50000000000000000000000
χ564-44-44-44-4-44-14-4-11-1-111100000000-11-11-1-111000000i5−i5−i5i5i5−i5i5−i50000000000000000000000
χ574-44-4-444-4-44-1-44-1111-1-1100000000-11-1111-1-1000000−i5i5i5−i5i5−i5i5−i50000000000000000000000
χ584-44-4-444-4-44-1-44-1111-1-1100000000-11-1111-1-1000000i5−i5−i5i5−i5i5−i5i50000000000000000000000
χ594-4-44004-44-4-1001-1−555−5100004i−4i00-111-1−555−5000000−i−iii−i5i5i5−i50000000000000000000000
χ604-4-44004-44-4-1001-1−555−510000−4i4i00-111-1−555−5000000ii−i−ii5−i5−i5i50000000000000000000000
χ614-4-44004-44-4-1001-15−5−55100004i−4i00-111-15−5−55000000−i−iiii5−i5−i5i50000000000000000000000
χ624-4-44004-44-4-1001-15−5−5510000−4i4i00-111-15−5−55000000ii−i−i−i5i5i5−i50000000000000000000000
χ634-4-4400-22-22400-440000-44i−4i−4i4i0000-222-2000000−2i2i2i−2i000000000000000000000000000000
χ644-4-4400-22-22400-440000-4−4i4i4i−4i0000-222-20000002i−2i−2i2i000000000000000000000000000000
χ65888888-4-4-4-4-2-4-4-2-2-2-2-2-2-20000000011111111000000000000000000000000000000000000
χ668888-8-8-4-4-4-4-244-2-22222-2000000001111-1-1-1-1000000000000000000000000000000000000
χ6788-8-800-4-444-20022−2525−2525-20000000011-1-15−55−5000000000000000000000000000000000000
χ6888-8-800-4-444-2002225−2525−25-20000000011-1-1−55−55000000000000000000000000000000000000
χ698-88-88-8-444-4-2-44-22-2-2222000000001-11-111-1-1000000000000000000000000000000000000
χ708-88-8-88-444-4-24-4-2222-2-22000000001-11-1-1-111000000000000000000000000000000000000
χ718-8-8800-44-44-2002-2−252525−252000000001-1-115−5−55000000000000000000000000000000000000
χ728-8-8800-44-44-2002-225−25−25252000000001-1-11−555−5000000000000000000000000000000000000

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