Finite Group Databasebeta

← Group #11751854

Character table — Group #11751854

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060
order12223446665101010121220202020222222441530303060606060446666101010102020202044441212121212121212121222444444
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
χ911111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-1
χ1011111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-11-11
χ1111111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111-11-11
χ1211111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111-11-1
χ1311111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111i−i−ii
χ1411111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111−iii−i
χ1511111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−ii11ii−i−i−i−iii11-1-1−iii−i
χ1611111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i11−i−iiiii−i−i11-1-1i−i−ii
χ172222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000
χ182222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-11111111100000000
χ192222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii00000000
χ202222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i00000000
χ212222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-1000000002-22-211-1-111-1-11100000000
χ222222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000-22-221111-1-111-1-100000000
χ232222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-11111221111000000002i−2i−2i2i-1-1−i−iiiii−i−i00000000
χ242222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-1111122111100000000−2i2i2i−2i-1-1ii−i−i−i−iii00000000
χ2522-2-22002-2-222-2-200000022-2-22-20022-2-200000022-2-222-2-20000000000000000002-2000000
χ2622-2-22002-2-222-2-200000022-2-2-220022-2-200000022-2-2-2-222000000000000000000-22000000
χ2722-2-22002-2-222-2-2000000-2-2222-20022-2-2000000-2-22222-2-2000000000000000000-22000000
χ2822-2-22002-2-222-2-2000000-2-222-220022-2-2000000-2-222-2-2220000000000000000002-2000000
χ292-22-222i−2i-22-22-22-22i−2i2i2i−2i−2i2-22-200002-22-22i2i−2i−2i2i−2i2-22-20000000000002i−2i0000000000000000
χ302-22-222i−2i-22-22-22-22i−2i2i2i−2i−2i-22-2200002-22-22i2i−2i−2i−2i2i-22-22000000000000−2i2i0000000000000000
χ312-22-22−2i2i-22-22-22-2−2i2i−2i−2i2i2i2-22-200002-22-2−2i−2i2i2i−2i2i2-22-2000000000000−2i2i0000000000000000
χ322-22-22−2i2i-22-22-22-2−2i2i−2i−2i2i2i-22-2200002-22-2−2i−2i2i2i2i−2i-22-220000000000002i−2i0000000000000000
χ332-22-2-12i−2i1-112-22-2−ii2i2i−2i−2i2-22-20000-11-11−i−iii2i−2i-11-11000000000000−ii−i3i33−3−i3i33−300000000
χ342-22-2-12i−2i1-112-22-2−ii2i2i−2i−2i2-22-20000-11-11−i−iii2i−2i-11-11000000000000−iii3−i3−33i3−i3−3300000000
χ352-22-2-12i−2i1-112-22-2−ii2i2i−2i−2i-22-220000-11-11−i−iii−2i2i1-11-1000000000000i−i3−3i3−i3−33−i3i300000000
χ362-22-2-12i−2i1-112-22-2−ii2i2i−2i−2i-22-220000-11-11−i−iii−2i2i1-11-1000000000000i−i−33−i3i33−3i3−i300000000
χ372-22-2-1−2i2i1-112-22-2i−i−2i−2i2i2i2-22-20000-11-11ii−i−i−2i2i-11-11000000000000i−i−i3i3−33−i3i3−3300000000
χ382-22-2-1−2i2i1-112-22-2i−i−2i−2i2i2i2-22-20000-11-11ii−i−i−2i2i-11-11000000000000i−ii3−i33−3i3−i33−300000000
χ392-22-2-1−2i2i1-112-22-2i−i−2i−2i2i2i-22-220000-11-11ii−i−i2i−2i1-11-1000000000000−ii3−3−i3i3−33i3−i300000000
χ402-22-2-1−2i2i1-112-22-2i−i−2i−2i2i2i-22-220000-11-11ii−i−i2i−2i1-11-1000000000000−ii−33i3−i33−3−i3i300000000
χ412-2-22200-2-222-2-220000002-2-22002-22-2-220000002-2-22000022-2-200000000000000002-20000
χ422-2-22200-2-222-2-220000002-2-2200-222-2-220000002-2-220000-2-2220000000000000000-220000
χ432-2-22200-2-222-2-22000000-222-2002-22-2-22000000-222-2000022-2-20000000000000000-220000
χ442-2-22200-2-222-2-22000000-222-200-222-2-22000000-222-20000-2-22200000000000000002-20000
χ454444444444-1-1-1-144-1-1-1-100004444-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-10000000000000000000000
χ464444444444-1-1-1-144-1-1-1-10000-4-4-4-4-1-1-1-1-1-1-1-1000000111111110000000000000000000000
χ4744444-4-4444-1-1-1-1-4-41111000044-4-4-1-1-1-11111000000-1-1-1-111110000000000000000000000
χ4844444-4-4444-1-1-1-1-4-411110000-4-444-1-1-1-111110000001111-1-1-1-10000000000000000000000
χ4944-4-44004-4-4-1-11100−i5i5−i5i500004-400-1-111−i5i5−i5i5000000-1-111−i5i5−i5i50000000000000000000000
χ5044-4-44004-4-4-1-11100−i5i5−i5i50000-4400-1-111−i5i5−i5i500000011-1-1i5−i5i5−i50000000000000000000000
χ5144-4-44004-4-4-1-11100i5−i5i5−i500004-400-1-111i5−i5i5−i5000000-1-111i5−i5i5−i50000000000000000000000
χ5244-4-44004-4-4-1-11100i5−i5i5−i50000-4400-1-111i5−i5i5−i500000011-1-1−i5i5−i5i50000000000000000000000
χ5344-4-4-200-22244-4-400000044-4-40000-2-222000000-2-222000000000000000000000000000000
χ5444-4-4-200-22244-4-4000000-4-4440000-2-22200000022-2-2000000000000000000000000000000
χ554-44-444i−4i-44-4-11-114i−4i−i−iii00000000-11-11−i−iii000000−55−55−i5i5i5−i50000000000000000000000
χ564-44-444i−4i-44-4-11-114i−4i−i−iii00000000-11-11−i−iii0000005−55−5i5−i5−i5i50000000000000000000000
χ574-44-44−4i4i-44-4-11-11−4i4iii−i−i00000000-11-11ii−i−i000000−55−55i5−i5−i5i50000000000000000000000
χ584-44-44−4i4i-44-4-11-11−4i4iii−i−i00000000-11-11ii−i−i0000005−55−5−i5i5i5−i50000000000000000000000
χ594-4-44400-4-44-111-100−555−50000004-4-111-1−555−5000000−555−5-1-1110000000000000000000000
χ604-4-44400-4-44-111-100−555−5000000-44-111-1−555−50000005−5−5511-1-10000000000000000000000
χ614-4-44400-4-44-111-1005−5−550000004-4-111-15−5−550000005−5−55-1-1110000000000000000000000
χ624-4-44400-4-44-111-1005−5−55000000-44-111-15−5−55000000−555−511-1-10000000000000000000000
χ634-4-44-20022-24-4-440000004-4-440000-222-2000000-222-2000000000000000000000000000000
χ644-4-44-20022-24-4-44000000-444-40000-222-20000002-2-22000000000000000000000000000000
χ658888-488-4-4-4-2-2-2-2-4-4-2-2-2-20000000011111111000000000000000000000000000000000000
χ668888-4-8-8-4-4-4-2-2-2-2442222000000001111-1-1-1-1000000000000000000000000000000000000
χ6788-8-8-400-444-2-22200−2i52i5−2i52i50000000011-1-1i5−i5i5−i5000000000000000000000000000000000000
χ6888-8-8-400-444-2-222002i5−2i52i5−2i50000000011-1-1−i5i5−i5i5000000000000000000000000000000000000
χ698-88-8-48i−8i4-44-22-22−4i4i−2i−2i2i2i000000001-11-1ii−i−i000000000000000000000000000000000000
χ708-88-8-4−8i8i4-44-22-224i−4i2i2i−2i−2i000000001-11-1−i−iii000000000000000000000000000000000000
χ718-8-88-40044-4-222-200−252525−25000000001-1-115−5−55000000000000000000000000000000000000
χ728-8-88-40044-4-222-20025−25−2525000000001-1-11−555−5000000000000000000000000000000000000

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