Finite Group Databasebeta

← Group #11921710

Character table — Group #11921710

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222233334466666688888888121212121212121212121212161616161616161618181818242424242424242424242424242424243636363636363636
order12223446664444121222444436661212121244448888121212123666121212124444666612121212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ511111-1-11111111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-111-1-111-1-1
χ611111-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-111
χ711111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111
χ811111-1-1111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-111-1-1
χ91-11-11i−i-1-11ii−i−ii−i1-1i−i1-111-1-1ii−i−ii−i1-1i−i1-1i−i1-111-1-1ii−i−i1-1i−i11-1-1i−i1-1ii−i−ii−i1-11-1i−i1-1i−i
χ101-11-11i−i-1-11ii−i−ii−i1-1i−i1-111-1-1ii−i−i−ii-11−ii-11i−i1-111-1-1ii−i−i1-1i−i11-1-1−ii-11ii−i−i−ii-11-11−ii-11−ii
χ111-11-11i−i-1-11−i−iiii−i-11i−i1-111-1-1ii−i−ii−i1-1i−i1-1i−i1-111-1-1ii−i−i-11−ii-1-111i−i1-1−i−iiii−i1-1-11−ii-11−ii
χ121-11-11i−i-1-11−i−iiii−i-11i−i1-111-1-1ii−i−i−ii-11−ii-11i−i1-111-1-1ii−i−i-11−ii-1-111−ii-11−i−iii−ii-111-1i−i1-1i−i
χ131-11-11−ii-1-11ii−i−i−ii-11−ii1-111-1-1−i−iiii−i-11i−i-11−ii1-111-1-1−i−iii-11i−i-1-111i−i-11ii−i−ii−i-111-1−ii1-1−ii
χ141-11-11−ii-1-11ii−i−i−ii-11−ii1-111-1-1−i−iii−ii1-1−ii1-1−ii1-111-1-1−i−iii-11i−i-1-111−ii1-1ii−i−i−ii1-1-11i−i-11i−i
χ151-11-11−ii-1-11−i−iii−ii1-1−ii1-111-1-1−i−iiii−i-11i−i-11−ii1-111-1-1−i−iii1-1−ii11-1-1i−i-11−i−iiii−i-11-11i−i-11i−i
χ161-11-11−ii-1-11−i−iii−ii1-1−ii1-111-1-1−i−iii−ii1-1−ii1-1−ii1-111-1-1−i−iii1-1−ii11-1-1−ii1-1−i−iii−ii1-11-1−ii1-1−ii
χ172222222222222222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-12222-1-1-1-10000-1-1-1-1000000000000
χ182222222222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-2-2-2-2111100001111000000000000
χ1922222-2-22222222-2-2-2-2-2-222-1-1-1-1111100000000-2-222-1-1-1-11111-2-22211110000-1-1-1-1000000000000
χ2022222-2-2222-2-2-2-2-2-222-2-222-1-1-1-1111100000000-2-222-1-1-1-1111122-2-2-1-1-1-100001111000000000000
χ212222-122-1-1-10000-1-10022222222222222222222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-10000-1-1-1-100000000
χ222222-122-1-1-10000-1-100222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000011110000111100000000
χ232222-1-2-2-1-1-100001100-2-2222222-2-2-2-222-2-222-2-211-1-1-1-1-1-1111100000000-1-1110000-1-11100000000
χ242222-1-2-2-1-1-100001100-2-2222222-2-2-2-2-2-222-2-22211-1-1-1-1-1-111110000000011-1-1000011-1-100000000
χ252-22-222i−2i-2-222i2i−2i−2i2i−2i2-22i−2i2-2-1-111−i−iii000000002i−2i2-2-1-111−i−iii2-22i−2i-1-1110000−i−iii000000000000
χ262-22-222i−2i-2-22−2i−2i2i2i2i−2i-222i−2i2-2-1-111−i−iii000000002i−2i2-2-1-111−i−iii-22−2i2i11-1-10000ii−i−i000000000000
χ272-22-22−2i2i-2-222i2i−2i−2i−2i2i-22−2i2i2-2-1-111ii−i−i00000000−2i2i2-2-1-111ii−i−i-222i−2i11-1-10000−i−iii000000000000
χ282-22-22−2i2i-2-22−2i−2i2i2i−2i2i2-2−2i2i2-2-1-111ii−i−i00000000−2i2i2-2-1-111ii−i−i2-2−2i2i-1-1110000ii−i−i000000000000
χ292-22-2-12i−2i11-10000−ii002i−2i2-222-2-22i2i−2i−2i2i−2i2-22i−2i2-2−ii-11-1-111−i−iii00000000−ii-110000−ii-1100000000
χ302-22-2-12i−2i11-10000−ii002i−2i2-222-2-22i2i−2i−2i−2i2i-22−2i2i-22−ii-11-1-111−i−iii00000000i−i1-10000i−i1-100000000
χ312-22-2-1−2i2i11-10000i−i00−2i2i2-222-2-2−2i−2i2i2i2i−2i-222i−2i-22i−i-11-1-111ii−i−i00000000−ii1-10000−ii1-100000000
χ322-22-2-1−2i2i11-10000i−i00−2i2i2-222-2-2−2i−2i2i2i−2i2i2-2−2i2i2-2i−i-11-1-111ii−i−i00000000i−i-110000i−i-1100000000
χ33333333333333333333-1-1-1-1000000001111-1-1-1-1-1-1-1-100000000-1-1-1-1000011110000-1-1-1-11111-1-1-1-1
χ34333333333333333333-1-1-1-100000000-1-1-1-11111-1-1-1-100000000-1-1-1-10000-1-1-1-100001111-1-1-1-11111
χ353333333333-3-3-3-333-3-3-1-1-1-1000000001111-1-1-1-1-1-1-1-1000000001111000011110000-1-1-1-1-1-1-1-11111
χ363333333333-3-3-3-333-3-3-1-1-1-100000000-1-1-1-11111-1-1-1-10000000011110000-1-1-1-1000011111111-1-1-1-1
χ3733333-3-33333333-3-3-3-311-1-10000000011-1-1-1-11111-1-10000000011-1-1000011-1-10000-1-11111-1-1-1-111
χ3833333-3-33333333-3-3-3-311-1-100000000-1-11111-1-111-1-10000000011-1-10000-1-111000011-1-1-1-11111-1-1
χ3933333-3-3333-3-3-3-3-3-33311-1-10000000011-1-1-1-11111-1-100000000-1-111000011-1-10000-1-111-1-11111-1-1
χ4033333-3-3333-3-3-3-3-3-33311-1-100000000-1-11111-1-111-1-100000000-1-1110000-1-111000011-1-111-1-1-1-111
χ413-33-333i−3i-3-333i3i−3i−3i3i−3i3-3−ii-1100000000i−i1-1−ii-11−ii-1100000000-11−ii0000i−i1-10000−ii-111-1i−i-11−ii
χ423-33-333i−3i-3-333i3i−3i−3i3i−3i3-3−ii-1100000000−ii-11i−i1-1−ii-1100000000-11−ii0000−ii-110000i−i1-1-11−ii1-1i−i
χ433-33-333i−3i-3-33−3i−3i3i3i3i−3i-33−ii-1100000000i−i1-1−ii-11−ii-11000000001-1i−i0000i−i1-10000−ii-11-11−ii1-1i−i
χ443-33-333i−3i-3-33−3i−3i3i3i3i−3i-33−ii-1100000000−ii-11i−i1-1−ii-11000000001-1i−i0000−ii-110000i−i1-11-1i−i-11−ii
χ453-33-33−3i3i-3-333i3i−3i−3i−3i3i-33i−i-1100000000i−i-11−ii1-1i−i-11000000001-1−ii0000i−i-110000−ii1-11-1−ii-11i−i
χ463-33-33−3i3i-3-333i3i−3i−3i−3i3i-33i−i-1100000000−ii1-1i−i-11i−i-11000000001-1−ii0000−ii1-10000i−i-11-11i−i1-1−ii
χ473-33-33−3i3i-3-33−3i−3i3i3i−3i3i3-3i−i-1100000000i−i-11−ii1-1i−i-1100000000-11i−i0000i−i-110000−ii1-1-11i−i1-1−ii
χ483-33-33−3i3i-3-33−3i−3i3i3i−3i3i3-3i−i-1100000000−ii1-1i−i-11i−i-1100000000-11i−i0000−ii1-10000i−i-111-1−ii-11i−i
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
χ5144-4-4400-44-44-44-4000000001-1-11−i3i3−i3i30000000000001-1-11−i3i3−i3i30000−i3i3−i3i300001-11-1000000000000
χ5244-4-4400-44-44-44-4000000001-1-11i3−i3i3−i30000000000001-1-11i3−i3i3−i30000i3−i3i3−i300001-11-1000000000000
χ5344-4-4400-44-44-44-400000000-222-20000000000000000-222-20000000000000000-22-22000000000000
χ5444-4-4400-44-4-44-44000000001-1-11−i3i3−i3i30000000000001-1-11−i3i3−i3i30000i3−i3i3−i30000-11-11000000000000
χ5544-4-4400-44-4-44-44000000001-1-11i3−i3i3−i30000000000001-1-11i3−i3i3−i30000−i3i3−i3i30000-11-11000000000000
χ5644-4-4400-44-4-44-4400000000-222-20000000000000000-222-200000000000000002-22-2000000000000
χ574-44-4-24i−4i22-20000−2i2i004i−4i4-4-2-222−2i−2i2i2i00000000−2i2i-2211-1-1ii−i−i0000000000000000000000000000
χ584-44-4-2−4i4i22-200002i−2i00−4i4i4-4-2-2222i2i−2i−2i000000002i−2i-2211-1-1−i−iii0000000000000000000000000000
χ594-4-444004-4-44i−4i−4i4i000000001-11-13−3−330000000000001-11-13−3−330000−i3i3i3−i30000i−i−ii000000000000
χ604-4-444004-4-44i−4i−4i4i000000001-11-1−333−30000000000001-11-1−333−30000i3−i3−i3i30000i−i−ii000000000000
χ614-4-444004-4-44i−4i−4i4i00000000-22-220000000000000000-22-220000000000000000−2i2i2i−2i000000000000
χ624-4-444004-4-4−4i4i4i−4i000000001-11-13−3−330000000000001-11-13−3−330000i3−i3−i3i30000−iii−i000000000000
χ634-4-444004-4-4−4i4i4i−4i000000001-11-1−333−30000000000001-11-1−333−30000−i3i3i3−i30000−iii−i000000000000
χ644-4-444004-4-4−4i4i4i−4i00000000-22-220000000000000000-22-2200000000000000002i−2i−2i2i000000000000
χ656666-366-3-3-30000-3-300-2-2-2-2000000002222-2-2-2-211110000000000000000-1-1-1-10000111100000000
χ666666-366-3-3-30000-3-300-2-2-2-200000000-2-2-2-222221111000000000000000011110000-1-1-1-100000000
χ676666-3-6-6-3-3-30000330022-2-20000000022-2-2-2-222-1-1110000000000000000-1-111000011-1-100000000
χ686666-3-6-6-3-3-30000330022-2-200000000-2-22222-2-2-1-111000000000000000011-1-10000-1-11100000000
χ696-66-6-36i−6i33-30000−3i3i00−2i2i-22000000002i−2i2-2−2i2i-22i−i1-10000000000000000−ii-110000i−i1-100000000
χ706-66-6-36i−6i33-30000−3i3i00−2i2i-2200000000−2i2i-222i−2i2-2i−i1-10000000000000000i−i1-10000−ii-1100000000
χ716-66-6-3−6i6i33-300003i−3i002i−2i-22000000002i−2i-22−2i2i2-2−ii1-10000000000000000−ii1-10000i−i-1100000000
χ726-66-6-3−6i6i33-300003i−3i002i−2i-2200000000−2i2i2-22i−2i-22−ii1-10000000000000000i−i-110000−ii1-100000000
χ7388-8-8-4004-440000000000002-2-22−2i32i3−2i32i3000000000000-111-1i3−i3i3−i30000000000000000000000000000
χ7488-8-8-4004-440000000000002-2-222i3−2i32i3−2i3000000000000-111-1−i3i3−i3i30000000000000000000000000000
χ7588-8-8-4004-44000000000000-444-400000000000000002-2-2200000000000000000000000000000000
χ768-8-88-400-4440000000000002-22-223−23−2323000000000000-11-11−333−30000000000000000000000000000
χ778-8-88-400-4440000000000002-22-2−232323−23000000000000-11-113−3−330000000000000000000000000000
χ788-8-88-400-444000000000000-44-4400000000000000002-22-200000000000000000000000000000000

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