Finite Group Databasebeta

← Group #11921711

Character table — Group #11921711

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222226666666666668888121212121212121212121212121212121212161616161616161616161818181824242424363636363636363648484848
order1222344666121212122244444488883666444488121212122424242424242424366612121212121244441212121222448888661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ311111111111111-1-111-1-111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111-1-1111-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1
χ611111-1-1111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ711111-1-1111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-111
χ811111-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111
χ91-11-11i−i-11-1ii−i−i1-1i−ii−i1-1ii−i−i11-1-11-1i−i1-1i−i1-1ii−i−i11-1-111-1-1i−iii−i−ii−i1-1i−i1-11-1i−ii−i1-11-1i−i
χ101-11-11i−i-11-1ii−i−i1-1i−ii−i1-1−i−iii11-1-1-11−ii-11i−i1-1−i−iii-1-11111-1-1i−iii−i−ii−i1-1−ii-11-11−ii−ii-111-1i−i
χ111-11-11i−i-11-1ii−i−i-11i−i−ii1-1ii−i−i11-1-11-1i−i1-1i−i1-1ii−i−i11-1-111-1-1i−iii−i−i−ii-11i−i1-1-11−ii−ii-11-11−ii
χ121-11-11i−i-11-1ii−i−i-11i−i−ii1-1−i−iii11-1-1-11−ii-11i−i1-1−i−iii-1-11111-1-1i−iii−i−i−ii-11−ii-111-1i−ii−i1-1-11−ii
χ131-11-11−ii-11-1−i−iii1-1−ii−ii1-1ii−i−i11-1-1-11i−i-11−ii1-1ii−i−i-1-11111-1-1−ii−i−iii−ii1-1i−i-11-11i−ii−i-111-1−ii
χ141-11-11−ii-11-1−i−iii1-1−ii−ii1-1−i−iii11-1-11-1−ii1-1−ii1-1−i−iii11-1-111-1-1−ii−i−iii−ii1-1−ii1-11-1−ii−ii1-11-1−ii
χ151-11-11−ii-11-1−i−iii-11−iii−i1-1ii−i−i11-1-1-11i−i-11−ii1-1ii−i−i-1-11111-1-1−ii−i−iiii−i-11i−i-111-1−ii−ii1-1-11i−i
χ161-11-11−ii-11-1−i−iii-11−iii−i1-1−i−iii11-1-11-1−ii1-1−ii1-1−i−iii11-1-111-1-1−ii−i−iiii−i-11−ii1-1-11i−ii−i-11-11i−i
χ1722222222222222222222220000-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-12222000000000000-1-1-1-1
χ1822222222222222-2-222-2-2220000-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000001111
χ1922222-2-2222-2-2-2-222-2-2-2-2220000-1-1-1-1000000-2-22200000000-1-1-1-1111111-2-222000000000000-1-111
χ2022222-2-2222-2-2-2-2-2-2-2-222220000-1-1-1-1000000-2-22200000000-1-1-1-111111122-2-200000000000011-1-1
χ212222-122-1-1-1-1-1-1-10022002222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-1-1-1-1000000000000
χ222222-122-1-1-1-1-1-1-100220022-2-2-2-22222-2-2-2-2-2-2-1-1-1-111111111-1-1-1-122-1-1-1-100001111000000000000
χ232222-1-2-2-1-1-1111100-2-2002222222222-2-222-2-211-1-1-1-1-1-11111-1-1-1-1-2-211110000-1-111000000000000
χ242222-1-2-2-1-1-1111100-2-20022-2-2-2-2222222-2-22211-1-11111-1-1-1-1-1-1-1-1-2-21111000011-1-1000000000000
χ252-22-222i−2i-22-22i2i−2i−2i2-22i−2i2i−2i2-20000-1-1110000002i−2i2-200000000-1-111−ii−i−iii2i−2i2-2000000000000-11−ii
χ262-22-222i−2i-22-22i2i−2i−2i-222i−2i−2i2i2-20000-1-1110000002i−2i2-200000000-1-111−ii−i−iii−2i2i-220000000000001-1i−i
χ272-22-22−2i2i-22-2−2i−2i2i2i2-2−2i2i−2i2i2-20000-1-111000000−2i2i2-200000000-1-111i−iii−i−i−2i2i2-2000000000000-11i−i
χ282-22-22−2i2i-22-2−2i−2i2i2i-22−2i2i2i−2i2-20000-1-111000000−2i2i2-200000000-1-111i−iii−i−i2i−2i-220000000000001-1−ii
χ292-22-2-12i−2i1-11−i−iii002i−2i002-22i2i−2i−2i22-2-22-22i−2i2-2−ii-11−i−iii-1-111-1-1112i−2i−i−iii0000−ii-11000000000000
χ302-22-2-12i−2i1-11−i−iii002i−2i002-2−2i−2i2i2i22-2-2-22−2i2i-22−ii-11ii−i−i11-1-1-1-1112i−2i−i−iii0000i−i1-1000000000000
χ312-22-2-1−2i2i1-11ii−i−i00−2i2i002-22i2i−2i−2i22-2-2-222i−2i-22i−i-11−i−iii11-1-1-1-111−2i2iii−i−i0000−ii1-1000000000000
χ322-22-2-1−2i2i1-11ii−i−i00−2i2i002-2−2i−2i2i2i22-2-22-2−2i2i2-2i−i-11ii−i−i-1-111-1-111−2i2iii−i−i0000i−i-11000000000000
χ333333333333333333-1-133-1-111110000-1-1-1-111-1-1-1-1111111110000000000-1-1-1-1-1-1-1-1-1-1-1-111110000
χ343333333333333333-1-133-1-1-1-1-1-100001111-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-111111111-1-1-1-10000
χ3533333333333333-3-3-1-1-3-3-1-111110000-1-1-1-111-1-1-1-11111111100000000001111-1-1-1-11111-1-1-1-10000
χ3633333333333333-3-3-1-1-3-3-1-1-1-1-1-100001111-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111111-1-1-1-111110000
χ3733333-3-3333-3-3-3-33311-3-3-1-11111000011-1-1-1-111-1-11111-1-1-1-1000000000011-1-1-1-11111-1-111-1-10000
χ3833333-3-3333-3-3-3-33311-3-3-1-1-1-1-1-10000-1-1111111-1-1-1-1-1-11111000000000011-1-111-1-1-1-111-1-1110000
χ3933333-3-3333-3-3-3-3-3-31133-1-11111000011-1-1-1-111-1-11111-1-1-1-10000000000-1-111-1-111-1-111-1-1110000
χ4033333-3-3333-3-3-3-3-3-31133-1-1-1-1-1-10000-1-1111111-1-1-1-1-1-111110000000000-1-11111-1-111-1-111-1-10000
χ413-33-333i−3i-33-33i3i−3i−3i3-3−ii3i−3i-11ii−i−i0000-11−ii1-1−ii-11ii−i−i11-1-10000000000−ii-11−ii-11-11−iii−i1-10000
χ423-33-333i−3i-33-33i3i−3i−3i3-3−ii3i−3i-11−i−iii00001-1i−i-11−ii-11−i−iii-1-1110000000000−ii-11i−i1-11-1i−i−ii-110000
χ433-33-333i−3i-33-33i3i−3i−3i-33−ii−3i3i-11ii−i−i0000-11−ii1-1−ii-11ii−i−i11-1-10000000000i−i1-1−ii-111-1i−i−ii-110000
χ443-33-333i−3i-33-33i3i−3i−3i-33−ii−3i3i-11−i−iii00001-1i−i-11−ii-11−i−iii-1-1110000000000i−i1-1i−i1-1-11−iii−i1-10000
χ453-33-33−3i3i-33-3−3i−3i3i3i3-3i−i−3i3i-11ii−i−i00001-1−ii-11i−i-11ii−i−i-1-1110000000000i−i-11−ii1-11-1−iii−i-110000
χ463-33-33−3i3i-33-3−3i−3i3i3i3-3i−i−3i3i-11−i−iii0000-11i−i1-1i−i-11−i−iii11-1-10000000000i−i-11i−i-11-11i−i−ii1-10000
χ473-33-33−3i3i-33-3−3i−3i3i3i-33i−i3i−3i-11ii−i−i00001-1−ii-11i−i-11ii−i−i-1-1110000000000−ii1-1−ii1-1-11i−i−ii1-10000
χ483-33-33−3i3i-33-3−3i−3i3i3i-33i−i3i−3i-11−i−iii0000-11i−i1-1i−i-11−i−iii11-1-10000000000−ii1-1i−i-111-1−iii−i-110000
χ494444-244-2-2-2-2-2-2-2004400440000-2-2-2-2000000-2-2-2-2000000001111-2-2111100000000000000000000
χ504444-2-4-4-2-2-2222200-4-400440000-2-2-2-200000022-2-200000000111122-1-1-1-100000000000000000000
χ5144-4-44004-4-400000000000022−2222−22-22-22000000000022−2222−220000-222-200000000000000000000000000
χ5244-4-44004-4-4000000000000−2222−2222-22-220000000000−2222−22220000-222-200000000000000000000000000
χ5344-4-4-200-222−2i32i3−2i32i30000000022−2222−22-22-220000000000−22−22i6−i6i6−i61-1-1100−i3i3−i3i300000000000000000000
χ5444-4-4-200-222−2i32i3−2i32i300000000−2222−2222-22-2200000000002−22−2−i6i6−i6i61-1-1100−i3i3−i3i300000000000000000000
χ5544-4-4-200-2222i3−2i32i3−2i30000000022−2222−22-22-220000000000−22−22−i6i6−i6i61-1-1100i3−i3i3−i300000000000000000000
χ5644-4-4-200-2222i3−2i32i3−2i300000000−2222−2222-22-2200000000002−22−2i6−i6i6−i61-1-1100i3−i3i3−i300000000000000000000
χ574-44-4-24i−4i2-22−2i−2i2i2i004i−4i004-40000-2-222000000−2i2i-220000000011-1-1−2i2iii−i−i00000000000000000000
χ584-44-4-2−4i4i2-222i2i−2i−2i00−4i4i004-40000-2-2220000002i−2i-220000000011-1-12i−2i−i−iii00000000000000000000
χ594-4-44400-4-44000000000000−2i22i22i2−2i2-222-20000000000−2i22i22i2−2i20000-22-2200000000000000000000000000
χ604-4-44400-4-440000000000002i2−2i2−2i22i2-222-200000000002i2−2i2−2i22i20000-22-2200000000000000000000000000
χ614-4-44-20022-223−23−232300000000−2i22i22i2−2i2-222-20000000000i2−i2−i2i2−i6i6i6−i61-11-1003−3−3300000000000000000000
χ624-4-44-20022-223−23−2323000000002i2−2i2−2i22i2-222-20000000000−i2i2i2−i2i6−i6−i6i61-11-1003−3−3300000000000000000000
χ634-4-44-20022-2−232323−2300000000−2i22i22i2−2i2-222-20000000000i2−i2−i2i2i6−i6−i6i61-11-100−333−300000000000000000000
χ644-4-44-20022-2−232323−23000000002i2−2i2−2i22i2-222-20000000000−i2i2i2−i2−i6i6i6−i61-11-100−333−300000000000000000000
χ656666-366-3-3-3-3-3-3-300-2-200-2-222220000-2-2-2-2221111-1-1-1-1-1-1-1-1000000000000001111000000000000
χ666666-366-3-3-3-3-3-3-300-2-200-2-2-2-2-2-200002222-2-211111111111100000000000000-1-1-1-1000000000000
χ676666-3-6-6-3-3-33333002200-2-22222000022-2-2-2-2-1-111-1-1-1-111110000000000000011-1-1000000000000
χ686666-3-6-6-3-3-33333002200-2-2-2-2-2-20000-2-22222-1-1111111-1-1-1-100000000000000-1-111000000000000
χ696-66-6-36i−6i3-33−3i−3i3i3i00−2i2i00-222i2i−2i−2i0000-22−2i2i2-2i−i1-1−i−iii-1-11100000000000000i−i1-1000000000000
χ706-66-6-36i−6i3-33−3i−3i3i3i00−2i2i00-22−2i−2i2i2i00002-22i−2i-22i−i1-1ii−i−i11-1-100000000000000−ii-11000000000000
χ716-66-6-3−6i6i3-333i3i−3i−3i002i−2i00-222i2i−2i−2i00002-2−2i2i-22−ii1-1−i−iii11-1-100000000000000i−i-11000000000000
χ726-66-6-3−6i6i3-333i3i−3i−3i002i−2i00-22−2i−2i2i2i0000-222i−2i2-2−ii1-1ii−i−i-1-11100000000000000−ii1-1000000000000
χ7388-8-88008-8-800000000000000002-22-20000000000000000002-2-2200000000000000000000000000
χ7488-8-8-400-444−4i34i3−4i34i30000000000002-22-2000000000000000000-111-100i3−i3i3−i300000000000000000000
χ7588-8-8-400-4444i3−4i34i3−4i30000000000002-22-2000000000000000000-111-100−i3i3−i3i300000000000000000000
χ768-8-88800-8-8800000000000000002-2-220000000000000000002-22-200000000000000000000000000
χ778-8-88-40044-443−43−43430000000000002-2-22000000000000000000-11-1100−333−300000000000000000000
χ788-8-88-40044-4−434343−430000000000002-2-22000000000000000000-11-11003−3−3300000000000000000000

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