Finite Group Databasebeta

← Group #11751829

Character table — Group #11751829

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060
order1222344666510101012122020202044444444153030306060606022121212122020202020202020668888242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1ii−i−iiiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1−i−iii−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111−i−iii
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111ii−i−i
χ911111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11-11-111-1-111-1-111-1-11-11-1
χ1011111-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11-1-111-1-11111-1-1-11-11
χ1111111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-11-11-111-1-111-1-1-1-111-11-11
χ1211111-1-11111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-11-11-1-111-1-111-1-1111-11-1
χ1311111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111i−i−iiii−i−i−i−iii-1-111i−i−ii
χ1411111-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111−iii−i−i−iiiii−i−i-1-111−iii−i
χ1511111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111i−i−iiii−i−i−i−iii11-1-1−iii−i
χ1611111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111−iii−i−i−iiiii−i−i11-1-1i−i−ii
χ172222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-1-12222-1-1-1-1-1-1-1-100000000
χ182222-122-1-1-12222-1-1222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-1-1-2-2-2-21111111100000000
χ192222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000112i2i−2i−2i−i−i−i−iiiii00000000
χ202222-122-1-1-12222-1-12222-2-2-2-20000-1-1-1-1-1-1-1-1-2-211110000000011−2i−2i2i2iiiii−i−i−i−i00000000
χ212222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-100000000112-22-2-1-111-1-11100000000
χ222222-1-2-2-1-1-1222211-2-2-2-222220000-1-1-1-11111-2-2-1-1-1-10000000011-22-2211-1-111-1-100000000
χ232222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-1111122111100000000-1-12i−2i−2i2i−i−iiiii−i−i00000000
χ242222-1-2-2-1-1-1222211-2-2-2-2-2-2-2-20000-1-1-1-1111122111100000000-1-1−2i2i2i−2iii−i−i−i−iii00000000
χ2522-2-222-2-2-2222-2-22-222-2-222-2-200002-2-2222-2-22-222-2-2000000002-200000000000000000000
χ2622-2-222-2-2-2222-2-22-222-2-2-2-22200002-2-2222-2-2-22-2-22200000000-2200000000000000000000
χ2722-2-22-22-2-2222-2-2-22-2-22222-2-200002-2-22-2-222-2222-2-200000000-2200000000000000000000
χ2822-2-22-22-2-2222-2-2-22-2-222-2-22200002-2-22-2-2222-2-2-222000000002-200000000000000000000
χ2922-2-2-12-211-122-2-2-1122-2-222-2-20000-111-1-1-1112-2-1-11100000000-1100003−33−33−33−300000000
χ3022-2-2-12-211-122-2-2-1122-2-222-2-20000-111-1-1-1112-2-1-11100000000-110000−33−33−33−3300000000
χ3122-2-2-12-211-122-2-2-1122-2-2-2-2220000-111-1-1-111-2211-1-1000000001-10000−i3i3−i3i3i3−i3i3−i300000000
χ3222-2-2-12-211-122-2-2-1122-2-2-2-2220000-111-1-1-111-2211-1-1000000001-10000i3−i3i3−i3−i3i3−i3i300000000
χ3322-2-2-1-2211-122-2-21-1-2-22222-2-20000-111-111-1-1-22-1-111000000001-100003−3−333−3−3300000000
χ3422-2-2-1-2211-122-2-21-1-2-22222-2-20000-111-111-1-1-22-1-111000000001-10000−333−3−333−300000000
χ3522-2-2-1-2211-122-2-21-1-2-222-2-2220000-111-111-1-12-211-1-100000000-110000−i3i3i3−i3i3−i3−i3i300000000
χ3622-2-2-1-2211-122-2-21-1-2-222-2-2220000-111-111-1-12-211-1-100000000-110000i3−i3−i3i3−i3i3i3−i300000000
χ372-22-22002-2-22-22-20000002i−2i2i−2i002i−2i22-2-20000002i−2i2i−2i00002i2i−2i−2i00000000000000002-20000
χ382-22-22002-2-22-22-20000002i−2i2i−2i00−2i2i22-2-20000002i−2i2i−2i0000−2i−2i2i2i0000000000000000-220000
χ392-22-22002-2-22-22-2000000−2i2i−2i2i002i−2i22-2-2000000−2i2i−2i2i00002i2i−2i−2i0000000000000000-220000
χ402-22-22002-2-22-22-2000000−2i2i−2i2i00−2i2i22-2-2000000−2i2i−2i2i0000−2i−2i2i2i00000000000000002-20000
χ412-2-22200-22-22-2-220000002i−2i−2i2i2i−2i002-22-20000002i−2i−2i2i2i2i−2i−2i0000000000000000002-2000000
χ422-2-22200-22-22-2-220000002i−2i−2i2i−2i2i002-22-20000002i−2i−2i2i−2i−2i2i2i000000000000000000-22000000
χ432-2-22200-22-22-2-22000000−2i2i2i−2i2i−2i002-22-2000000−2i2i2i−2i2i2i−2i−2i000000000000000000-22000000
χ442-2-22200-22-22-2-22000000−2i2i2i−2i−2i2i002-22-2000000−2i2i2i−2i−2i−2i2i2i0000000000000000002-2000000
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
χ4944-4-444-4-4-44-1-1114-4-1-11100000000-111-1-1-111000000−i5i5−i5i5−i5i5−i5i50000000000000000000000
χ5044-4-444-4-4-44-1-1114-4-1-11100000000-111-1-1-111000000i5−i5i5−i5i5−i5i5−i50000000000000000000000
χ5144-4-44-44-4-44-1-111-4411-1-100000000-111-111-1-1000000−i5i5−i5i5i5−i5i5−i50000000000000000000000
χ5244-4-44-44-4-44-1-111-4411-1-100000000-111-111-1-1000000i5−i5i5−i5−i5i5−i5i50000000000000000000000
χ534-44-44004-4-4-11-1100−i5i5−i5i50000004i−4i-1-111−i5i5−i5i5000000−555−5−i−iii0000000000000000000000
χ544-44-44004-4-4-11-1100−i5i5−i5i5000000−4i4i-1-111−i5i5−i5i50000005−5−55ii−i−i0000000000000000000000
χ554-44-44004-4-4-11-1100i5−i5i5−i50000004i−4i-1-111i5−i5i5−i50000005−5−55−i−iii0000000000000000000000
χ564-44-44004-4-4-11-1100i5−i5i5−i5000000−4i4i-1-111i5−i5i5−i5000000−555−5ii−i−i0000000000000000000000
χ574-44-4-200-2224-44-40000004i−4i4i−4i0000-2-222000000−2i2i−2i2i000000000000000000000000000000
χ584-44-4-200-2224-44-4000000−4i4i−4i4i0000-2-2220000002i−2i2i−2i000000000000000000000000000000
χ594-4-44400-44-4-111-100−i5i5i5−i500004i−4i00-11-11−i5i5i5−i5000000−i−iii5−5−550000000000000000000000
χ604-4-44400-44-4-111-100−i5i5i5−i50000−4i4i00-11-11−i5i5i5−i5000000ii−i−i−555−50000000000000000000000
χ614-4-44400-44-4-111-100i5−i5−i5i500004i−4i00-11-11i5−i5−i5i5000000−i−iii−555−50000000000000000000000
χ624-4-44400-44-4-111-100i5−i5−i5i50000−4i4i00-11-11i5−i5−i5i5000000ii−i−i5−5−550000000000000000000000
χ634-4-44-2002-224-4-440000004i−4i−4i4i0000-22-22000000−2i2i2i−2i000000000000000000000000000000
χ644-4-44-2002-224-4-44000000−4i4i4i−4i0000-22-220000002i−2i−2i2i000000000000000000000000000000
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
χ6788-8-8-48-844-4-2-222-44-2-222000000001-1-1111-1-1000000000000000000000000000000000000
χ6888-8-8-4-8844-4-2-2224-422-2-2000000001-1-11-1-111000000000000000000000000000000000000
χ698-88-8-400-444-22-2200−2i52i5−2i52i50000000011-1-1i5−i5i5−i5000000000000000000000000000000000000
χ708-88-8-400-444-22-22002i5−2i52i5−2i50000000011-1-1−i5i5−i5i5000000000000000000000000000000000000
χ718-8-88-4004-44-222-200−2i52i52i5−2i5000000001-11-1i5−i5−i5i5000000000000000000000000000000000000
χ728-8-88-4004-44-222-2002i5−2i5−2i52i5000000001-11-1−i5i5i5−i5000000000000000000000000000000000000

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