Finite Group Databasebeta

← Group #11921651

Character table — Group #11921651

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222226666666666668888121212121212121212121212121212121212161616161616161616161818181824242424363636363636363648484848
order1222344666121212124444444488883666224488121212122424242424242424366612121212121222446612122244888812121212
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
χ311111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111-1-1111-1-1-1-111-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1
χ611111-1-1111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1
χ711111-1-1111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ811111-1-1111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ911-1-11i−i1-1-1ii−i−i1-1i−ii−i1-1ii−i−i1-11-11-1i−i1-1i−i1-1ii−i−i11-1-111-1-1i−iii−i−i1-1i−i1-1i−i1-1i−ii−i1-11-1i−i
χ1011-1-11i−i1-1-1ii−i−i1-1i−ii−i1-1−i−iii1-11-1-11−ii-11i−i1-1−i−iii-1-11111-1-1i−iii−i−i1-1i−i-11−ii-11−ii−ii-111-1i−i
χ1111-1-11i−i1-1-1ii−i−i-11−iii−i1-1ii−i−i1-11-11-1i−i1-1i−i1-1ii−i−i11-1-111-1-1i−iii−i−i-11−ii1-1i−i-11−ii−ii-11-11−ii
χ1211-1-11i−i1-1-1ii−i−i-11−iii−i1-1−i−iii1-11-1-11−ii-11i−i1-1−i−iii-1-11111-1-1i−iii−i−i-11−ii-11−ii1-1i−ii−i1-1-11−ii
χ1311-1-11−ii1-1-1−i−iii1-1−ii−ii1-1ii−i−i1-11-1-11i−i-11−ii1-1ii−i−i-1-11111-1-1−ii−i−iii1-1−ii-11i−i-11i−ii−i-111-1−ii
χ1411-1-11−ii1-1-1−i−iii1-1−ii−ii1-1−i−iii1-11-11-1−ii1-1−ii1-1−i−iii11-1-111-1-1−ii−i−iii1-1−ii1-1−ii1-1−ii−ii1-11-1−ii
χ1511-1-11−ii1-1-1−i−iii-11i−i−ii1-1ii−i−i1-11-1-11i−i-11−ii1-1ii−i−i-1-11111-1-1−ii−i−iii-11i−i-11i−i1-1−ii−ii1-1-11i−i
χ1611-1-11−ii1-1-1−i−iii-11i−i−ii1-1−i−iii1-11-11-1−ii1-1−ii1-1−i−iii11-1-111-1-1−ii−i−iii-11i−i1-1−ii-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
χ1822222222222222-2-2-2-222220000-1-1-1-1000000222200000000-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000001111
χ1922222-2-2222-2-2-2-222-2-2-2-2220000-1-1-1-1000000-2-22200000000-1-1-1-111111122-2-2000000000000-1-111
χ2022222-2-2222-2-2-2-2-2-222-2-2220000-1-1-1-1000000-2-22200000000-1-1-1-1111111-2-22200000000000011-1-1
χ212222-122-1-1-1-1-1-1-10000222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000-1-1-1-1000000000000
χ222222-122-1-1-1-1-1-1-100002222-2-2-2-22222-2-2-2-2-2-2-1-1-1-111111111-1-1-1-122-1-1-1-100001111000000000000
χ232222-1-2-2-1-1-111110000-2-22222222222-2-222-2-211-1-1-1-1-1-11111-1-1-1-1-2-21111000011-1-1000000000000
χ242222-1-2-2-1-1-111110000-2-222-2-2-2-2222222-2-22211-1-11111-1-1-1-1-1-1-1-1-2-211110000-1-111000000000000
χ2522-2-222i−2i2-2-22i2i−2i−2i2-22i−2i2i−2i2-20000-11-110000002i−2i2-200000000-1-111−ii−i−iii2-22i−2i000000000000-11−ii
χ2622-2-222i−2i2-2-22i2i−2i−2i-22−2i2i2i−2i2-20000-11-110000002i−2i2-200000000-1-111−ii−i−iii-22−2i2i0000000000001-1i−i
χ2722-2-22−2i2i2-2-2−2i−2i2i2i2-2−2i2i−2i2i2-20000-11-11000000−2i2i2-200000000-1-111i−iii−i−i2-2−2i2i000000000000-11i−i
χ2822-2-22−2i2i2-2-2−2i−2i2i2i-222i−2i−2i2i2-20000-11-11000000−2i2i2-200000000-1-111i−iii−i−i-222i−2i0000000000001-1−ii
χ2922-2-2-12i−2i-111−i−iii00002i−2i2-22i2i−2i−2i2-22-22-22i−2i2-2−ii-11−i−iii-1-111-1-1112i−2i−i−iii0000-11−ii000000000000
χ3022-2-2-12i−2i-111−i−iii00002i−2i2-2−2i−2i2i2i2-22-2-22−2i2i-22−ii-11ii−i−i11-1-1-1-1112i−2i−i−iii00001-1i−i000000000000
χ3122-2-2-1−2i2i-111ii−i−i0000−2i2i2-22i2i−2i−2i2-22-2-222i−2i-22i−i-11−i−iii11-1-1-1-111−2i2iii−i−i00001-1−ii000000000000
χ3222-2-2-1−2i2i-111ii−i−i0000−2i2i2-2−2i−2i2i2i2-22-22-2−2i2i2-2i−i-11ii−i−i-1-111-1-111−2i2iii−i−i0000-11i−i000000000000
χ33333333333333333333-1-1-1-111110000-1-1-1-111-1-1-1-1111111110000000000-1-1-1-1-1-1-1-1-1-1-1-111110000
χ34333333333333333333-1-1-1-1-1-1-1-100001111-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-111111111-1-1-1-10000
χ3533333333333333-3-3-3-3-1-1-1-111110000-1-1-1-111-1-1-1-11111111100000000001111-1-1-1-11111-1-1-1-10000
χ3633333333333333-3-3-3-3-1-1-1-1-1-1-1-100001111-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111111-1-1-1-111110000
χ3733333-3-3333-3-3-3-333-3-311-1-11111000011-1-1-1-111-1-11111-1-1-1-10000000000-1-11111-1-111-1-111-1-10000
χ3833333-3-3333-3-3-3-333-3-311-1-1-1-1-1-10000-1-1111111-1-1-1-1-1-111110000000000-1-111-1-111-1-111-1-1110000
χ3933333-3-3333-3-3-3-3-3-33311-1-11111000011-1-1-1-111-1-11111-1-1-1-1000000000011-1-111-1-1-1-111-1-1110000
χ4033333-3-3333-3-3-3-3-3-33311-1-1-1-1-1-10000-1-1111111-1-1-1-1-1-11111000000000011-1-1-1-11111-1-111-1-10000
χ4133-3-333i−3i3-3-33i3i−3i−3i3-33i−3i−ii-11ii−i−i0000-11−ii1-1−ii-11ii−i−i11-1-10000000000-11−ii-11−ii-11−iii−i1-10000
χ4233-3-333i−3i3-3-33i3i−3i−3i3-33i−3i−ii-11−i−iii00001-1i−i-11−ii-11−i−iii-1-1110000000000-11−ii1-1i−i1-1i−i−ii-110000
χ4333-3-333i−3i3-3-33i3i−3i−3i-33−3i3i−ii-11ii−i−i0000-11−ii1-1−ii-11ii−i−i11-1-100000000001-1i−i-11−ii1-1i−i−ii-110000
χ4433-3-333i−3i3-3-33i3i−3i−3i-33−3i3i−ii-11−i−iii00001-1i−i-11−ii-11−i−iii-1-11100000000001-1i−i1-1i−i-11−iii−i1-10000
χ4533-3-33−3i3i3-3-3−3i−3i3i3i3-3−3i3ii−i-11ii−i−i00001-1−ii-11i−i-11ii−i−i-1-1110000000000-11i−i1-1−ii1-1−iii−i-110000
χ4633-3-33−3i3i3-3-3−3i−3i3i3i3-3−3i3ii−i-11−i−iii0000-11i−i1-1i−i-11−i−iii11-1-10000000000-11i−i-11i−i-11i−i−ii1-10000
χ4733-3-33−3i3i3-3-3−3i−3i3i3i-333i−3ii−i-11ii−i−i00001-1−ii-11i−i-11ii−i−i-1-11100000000001-1−ii1-1−ii-11i−i−ii1-10000
χ4833-3-33−3i3i3-3-3−3i−3i3i3i-333i−3ii−i-11−i−iii0000-11i−i1-1i−i-11−i−iii11-1-100000000001-1−ii-11i−i1-1−iii−i-110000
χ494444-244-2-2-2-2-2-2-2000044440000-2-2-2-2000000-2-2-2-2000000001111-2-2111100000000000000000000
χ504444-2-4-4-2-2-222220000-4-4440000-2-2-2-200000022-2-200000000111122-1-1-1-100000000000000000000
χ5144-4-4-24i−4i-222−2i−2i2i2i00004i−4i4-40000-22-22000000−2i2i-220000000011-1-1−2i2iii−i−i00000000000000000000
χ5244-4-4-2−4i4i-2222i2i−2i−2i0000−4i4i4-40000-22-220000002i−2i-220000000011-1-12i−2i−i−iii00000000000000000000
χ534-44-4400-4-44000000000000−2i22i2−2i22i2-222-20000000000−2i22i2−2i22i20000-222-200000000000000000000000000
χ544-44-4400-4-440000000000002i2−2i22i2−2i2-222-200000000002i2−2i22i2−2i20000-222-200000000000000000000000000
χ554-44-4-20022-2−2i32i3−2i32i300000000−2i22i2−2i22i2-222-20000000000i2−i2i2−i26−66−61-1-1100−i3i3−i3i300000000000000000000
χ564-44-4-20022-2−2i32i3−2i32i3000000002i2−2i22i2−2i2-222-20000000000−i2i2−i2i2−66−661-1-1100−i3i3−i3i300000000000000000000
χ574-44-4-20022-22i3−2i32i3−2i300000000−2i22i2−2i22i2-222-20000000000i2−i2i2−i2−66−661-1-1100i3−i3i3−i300000000000000000000
χ584-44-4-20022-22i3−2i32i3−2i3000000002i2−2i22i2−2i2-222-20000000000−i2i2−i2i26−66−61-1-1100i3−i3i3−i300000000000000000000
χ594-4-44400-44-400000000000022−22−2222-2-222000000000022−22−22220000-22-2200000000000000000000000000
χ604-4-44400-44-4000000000000−222222−22-2-2220000000000−222222−220000-22-2200000000000000000000000000
χ614-4-44-2002-2223−23−23230000000022−22−2222-2-2220000000000−222−26−6−661-11-1003−3−3300000000000000000000
χ624-4-44-2002-2223−23−232300000000−222222−22-2-22200000000002−2−22−666−61-11-1003−3−3300000000000000000000
χ634-4-44-2002-22−232323−230000000022−22−2222-2-2220000000000−222−2−666−61-11-100−333−300000000000000000000
χ644-4-44-2002-22−232323−2300000000−222222−22-2-22200000000002−2−226−6−661-11-100−333−300000000000000000000
χ656666-366-3-3-3-3-3-3-30000-2-2-2-222220000-2-2-2-2221111-1-1-1-1-1-1-1-1000000000000001111000000000000
χ666666-366-3-3-3-3-3-3-30000-2-2-2-2-2-2-2-200002222-2-211111111111100000000000000-1-1-1-1000000000000
χ676666-3-6-6-3-3-33333000022-2-22222000022-2-2-2-2-1-111-1-1-1-1111100000000000000-1-111000000000000
χ686666-3-6-6-3-3-33333000022-2-2-2-2-2-20000-2-22222-1-1111111-1-1-1-10000000000000011-1-1000000000000
χ6966-6-6-36i−6i-333−3i−3i3i3i0000−2i2i-222i2i−2i−2i0000-22−2i2i2-2i−i1-1−i−iii-1-111000000000000001-1i−i000000000000
χ7066-6-6-36i−6i-333−3i−3i3i3i0000−2i2i-22−2i−2i2i2i00002-22i−2i-22i−i1-1ii−i−i11-1-100000000000000-11−ii000000000000
χ7166-6-6-3−6i6i-3333i3i−3i−3i00002i−2i-222i2i−2i−2i00002-2−2i2i-22−ii1-1−i−iii11-1-100000000000000-11i−i000000000000
χ7266-6-6-3−6i6i-3333i3i−3i−3i00002i−2i-22−2i−2i2i2i0000-222i−2i2-2−ii1-1ii−i−i-1-111000000000000001-1−ii000000000000
χ738-88-8800-8-8800000000000000002-2-220000000000000000002-2-2200000000000000000000000000
χ748-88-8-40044-4−4i34i3−4i34i30000000000002-2-22000000000000000000-111-100i3−i3i3−i300000000000000000000
χ758-88-8-40044-44i3−4i34i3−4i30000000000002-2-22000000000000000000-111-100−i3i3−i3i300000000000000000000
χ768-8-88800-88-8000000000000000022-2-20000000000000000002-22-200000000000000000000000000
χ778-8-88-4004-4443−43−434300000000000022-2-2000000000000000000-11-1100−333−300000000000000000000
χ788-8-88-4004-44−434343−4300000000000022-2-2000000000000000000-11-11003−3−3300000000000000000000

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