Finite Group Databasebeta

← Group #11921706

Character table — Group #11921706

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222233334466666688888888121212121212121212121212161616161616161618181818242424242424242424242424242424243636363636363636
order122234466644441212224444366612121212224488881212121236661212121244446666661212121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-111-1-111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111-1-11111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1
χ611111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111
χ711111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111-1-111
χ811111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ91-1-111i−i-11-1ii−i−ii−i1-1i−i1-111-1-1ii−i−i1-1i−i1-1i−ii−i1-111-1-1ii−i−ii−i1-11-111-1-1i−iii−i−i1-1i−ii−i1-1i−i1-1
χ101-1-111i−i-11-1ii−i−ii−i1-1i−i1-111-1-1ii−i−i-11−ii-11−iii−i1-111-1-1ii−i−ii−i1-1-1111-1-1−iiii−i−i-11−ii−ii-11−ii-11
χ111-1-111i−i-11-1−i−iiii−i-11i−i1-111-1-1ii−i−i1-1i−i1-1i−ii−i1-111-1-1ii−i−i−ii-111-1-1-111i−i−i−iii1-1i−i−ii-11−ii-11
χ121-1-111i−i-11-1−i−iiii−i-11i−i1-111-1-1ii−i−i-11−ii-11−iii−i1-111-1-1ii−i−i−ii-11-11-1-111−ii−i−iii-11−iii−i1-1i−i1-1
χ131-1-111−ii-11-1ii−i−i−ii-11−ii1-111-1-1−i−iii1-1−ii1-1−ii−ii1-111-1-1−i−iiii−i-111-1-1-111−iiii−i−i1-1−iii−i-11i−i-11
χ141-1-111−ii-11-1ii−i−i−ii-11−ii1-111-1-1−i−iii-11i−i-11i−i−ii1-111-1-1−i−iiii−i-11-11-1-111i−iii−i−i-11i−i−ii1-1−ii1-1
χ151-1-111−ii-11-1−i−iii−ii1-1−ii1-111-1-1−i−iii1-1−ii1-1−ii−ii1-111-1-1−i−iii−ii1-11-111-1-1−ii−i−iii1-1−ii−ii1-1−ii1-1
χ161-1-111−ii-11-1−i−iii−ii1-1−ii1-111-1-1−i−iii-11i−i-11i−i−ii1-111-1-1−i−iii−ii1-1-1111-1-1i−i−i−iii-11i−ii−i-11i−i-11
χ172222222222222222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1222200-1-1-1-100-1-1-1-1000000000000
χ182222222222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-2-2-2-2001111001111000000000000
χ1922222-2-22222222-2-2-2-2-2-222-1-1-1-1111100000000-2-222-1-1-1-1111122-2-200111100-1-1-1-1000000000000
χ2022222-2-2222-2-2-2-2-2-222-2-222-1-1-1-1111100000000-2-222-1-1-1-11111-2-22200-1-1-1-1001111000000000000
χ212222-122-1-1-10000-1-10022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-10000-1-10000-1-10000-1-1-1-100000000
χ222222-122-1-1-10000-1-100222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000110000110000111100000000
χ232222-1-2-2-1-1-100001100-2-2222222-2-2-2-222-2-222-2-211-1-1-1-1-1-111110000-1-10000110000-1-11100000000
χ242222-1-2-2-1-1-100001100-2-2222222-2-2-2-2-2-222-2-22211-1-1-1-1-1-111110000110000-1-1000011-1-100000000
χ252-2-2222i−2i-22-22i2i−2i−2i2i−2i2-22i−2i2-2-1-111−i−iii000000002i−2i2-2-1-111−i−iii2i−2i2-200-1-11100−i−iii000000000000
χ262-2-2222i−2i-22-2−2i−2i2i2i2i−2i-222i−2i2-2-1-111−i−iii000000002i−2i2-2-1-111−i−iii−2i2i-220011-1-100ii−i−i000000000000
χ272-2-222−2i2i-22-22i2i−2i−2i−2i2i-22−2i2i2-2-1-111ii−i−i00000000−2i2i2-2-1-111ii−i−i2i−2i-220011-1-100−i−iii000000000000
χ282-2-222−2i2i-22-2−2i−2i2i2i−2i2i2-2−2i2i2-2-1-111ii−i−i00000000−2i2i2-2-1-111ii−i−i−2i2i2-200-1-11100ii−i−i000000000000
χ292-2-22-12i−2i1-110000−ii002i−2i2-222-2-22i2i−2i−2i2-22i−2i2-22i−2i−ii-11-1-111−i−iii0000-110000−ii0000-11−ii00000000
χ302-2-22-12i−2i1-110000−ii002i−2i2-222-2-22i2i−2i−2i-22−2i2i-22−2i2i−ii-11-1-111−i−iii00001-10000i−i00001-1i−i00000000
χ312-2-22-1−2i2i1-110000i−i00−2i2i2-222-2-2−2i−2i2i2i2-2−2i2i2-2−2i2ii−i-11-1-111ii−i−i0000-110000i−i0000-11i−i00000000
χ322-2-22-1−2i2i1-110000i−i00−2i2i2-222-2-2−2i−2i2i2i-222i−2i-222i−2ii−i-11-1-111ii−i−i00001-10000−ii00001-1−ii00000000
χ33333333333333333333-1-1-1-1000000001111-1-1-1-1-1-1-1-100000000-1-1-1-1110000110000-1-1-1-11111-1-1-1-1
χ34333333333333333333-1-1-1-100000000-1-1-1-11111-1-1-1-100000000-1-1-1-1-1-10000-1-100001111-1-1-1-11111
χ353333333333-3-3-3-333-3-3-1-1-1-1000000001111-1-1-1-1-1-1-1-1000000001111110000110000-1-1-1-1-1-1-1-11111
χ363333333333-3-3-3-333-3-3-1-1-1-100000000-1-1-1-11111-1-1-1-1000000001111-1-10000-1-1000011111111-1-1-1-1
χ3733333-3-33333333-3-3-3-311-1-10000000011-1-1-1-11111-1-100000000-1-111110000-1-10000-1-11111-1-1-1-111
χ3833333-3-33333333-3-3-3-311-1-100000000-1-11111-1-111-1-100000000-1-111-1-1000011000011-1-1-1-11111-1-1
χ3933333-3-3333-3-3-3-3-3-33311-1-10000000011-1-1-1-11111-1-10000000011-1-1110000-1-10000-1-111-1-11111-1-1
χ4033333-3-3333-3-3-3-3-3-33311-1-100000000-1-11111-1-111-1-10000000011-1-1-1-1000011000011-1-111-1-1-1-111
χ413-3-3333i−3i-33-33i3i−3i−3i3i−3i3-3−ii-11000000001-1i−i-11−ii−ii-1100000000−ii-111-10000i−i0000-11−iii−i1-1−ii-11
χ423-3-3333i−3i-33-33i3i−3i−3i3i−3i3-3−ii-1100000000-11−ii1-1i−i−ii-1100000000−ii-11-110000−ii00001-1i−i−ii-11i−i1-1
χ433-3-3333i−3i-33-3−3i−3i3i3i3i−3i-33−ii-11000000001-1i−i-11−ii−ii-1100000000i−i1-11-10000i−i0000-11−ii−ii-11i−i1-1
χ443-3-3333i−3i-33-3−3i−3i3i3i3i−3i-33−ii-1100000000-11−ii1-1i−i−ii-1100000000i−i1-1-110000−ii00001-1i−ii−i1-1−ii-11
χ453-3-333−3i3i-33-33i3i−3i−3i−3i3i-33i−i-11000000001-1−ii-11i−ii−i-1100000000−ii1-11-10000−ii0000-11i−ii−i-11−ii1-1
χ463-3-333−3i3i-33-33i3i−3i−3i−3i3i-33i−i-1100000000-11i−i1-1−iii−i-1100000000−ii1-1-110000i−i00001-1−ii−ii1-1i−i-11
χ473-3-333−3i3i-33-3−3i−3i3i3i−3i3i3-3i−i-11000000001-1−ii-11i−ii−i-1100000000i−i-111-10000−ii0000-11i−i−ii1-1i−i-11
χ483-3-333−3i3i-33-3−3i−3i3i3i−3i3i3-3i−i-1100000000-11i−i1-1−iii−i-1100000000i−i-11-110000i−i00001-1−iii−i-11−ii1-1
χ494444-244-2-2-20000-2-2004444-2-2-2-2-2-2-2-200000000-2-2-2-2111111110000000000000000000000000000
χ504444-2-4-4-2-2-200002200-4-444-2-2-2-222220000000022-2-21111-1-1-1-10000000000000000000000000000
χ5144-4-4400-4-444i−4i4i−4i000000001-11-13−33−30000000000001-11-13−33−3000000−i3i3−i3i300i−ii−i000000000000
χ5244-4-4400-4-444i−4i4i−4i000000001-11-1−33−330000000000001-11-1−33−33000000i3−i3i3−i300i−ii−i000000000000
χ5344-4-4400-4-444i−4i4i−4i00000000-22-220000000000000000-22-220000000000000000−2i2i−2i2i000000000000
χ5444-4-4400-4-44−4i4i−4i4i000000001-11-13−33−30000000000001-11-13−33−3000000i3−i3i3−i300−ii−ii000000000000
χ5544-4-4400-4-44−4i4i−4i4i000000001-11-1−33−330000000000001-11-1−33−33000000−i3i3−i3i300−ii−ii000000000000
χ5644-4-4400-4-44−4i4i−4i4i00000000-22-220000000000000000-22-2200000000000000002i−2i2i−2i000000000000
χ574-44-44004-4-44-4-44000000001-1-11−i3i3i3−i30000000000001-1-11−i3i3i3−i3000000−i3i3i3−i3001-1-11000000000000
χ584-44-44004-4-44-4-44000000001-1-11i3−i3−i3i30000000000001-1-11i3−i3−i3i3000000i3−i3−i3i3001-1-11000000000000
χ594-44-44004-4-44-4-4400000000-222-20000000000000000-222-20000000000000000-222-2000000000000
χ604-44-44004-4-4-444-4000000001-1-11−i3i3i3−i30000000000001-1-11−i3i3i3−i3000000i3−i3−i3i300-111-1000000000000
χ614-44-44004-4-4-444-4000000001-1-11i3−i3−i3i30000000000001-1-11i3−i3−i3i3000000−i3i3i3−i300-111-1000000000000
χ624-44-44004-4-4-444-400000000-222-20000000000000000-222-200000000000000002-2-22000000000000
χ634-4-44-24i−4i2-220000−2i2i004i−4i4-4-2-222−2i−2i2i2i00000000−2i2i-2211-1-1ii−i−i0000000000000000000000000000
χ644-4-44-2−4i4i2-2200002i−2i00−4i4i4-4-2-2222i2i−2i−2i000000002i−2i-2211-1-1−i−iii0000000000000000000000000000
χ656666-366-3-3-30000-3-300-2-2-2-2000000002222-2-2-2-21111000000000000-1-10000-1-10000111100000000
χ666666-366-3-3-30000-3-300-2-2-2-200000000-2-2-2-222221111000000000000110000110000-1-1-1-100000000
χ676666-3-6-6-3-3-30000330022-2-20000000022-2-2-2-222-1-111000000000000-1-1000011000011-1-100000000
χ686666-3-6-6-3-3-30000330022-2-200000000-2-22222-2-2-1-111000000000000110000-1-10000-1-11100000000
χ696-6-66-36i−6i3-330000−3i3i00−2i2i-22000000002-22i−2i-22−2i2ii−i1-1000000000000-110000−ii00001-1i−i00000000
χ706-6-66-36i−6i3-330000−3i3i00−2i2i-2200000000-22−2i2i2-22i−2ii−i1-10000000000001-10000i−i0000-11−ii00000000
χ716-6-66-3−6i6i3-3300003i−3i002i−2i-22000000002-2−2i2i-222i−2i−ii1-1000000000000-110000i−i00001-1−ii00000000
χ726-6-66-3−6i6i3-3300003i−3i002i−2i-2200000000-222i−2i2-2−2i2i−ii1-10000000000001-10000−ii0000-11i−i00000000
χ7388-8-8-40044-40000000000002-22-223−2323−23000000000000-11-11−33−330000000000000000000000000000
χ7488-8-8-40044-40000000000002-22-2−2323−2323000000000000-11-113−33−30000000000000000000000000000
χ7588-8-8-40044-4000000000000-44-4400000000000000002-22-200000000000000000000000000000000
χ768-88-8-400-4440000000000002-2-22−2i32i32i3−2i3000000000000-111-1i3−i3−i3i30000000000000000000000000000
χ778-88-8-400-4440000000000002-2-222i3−2i3−2i32i3000000000000-111-1−i3i3i3−i30000000000000000000000000000
χ788-88-8-400-444000000000000-444-400000000000000002-2-2200000000000000000000000000000000

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