Finite Group Databasebeta

← Group #11921652

Character table — Group #11921652

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244666666668888121212121212121212121212161616161616161616161818181818181818242424242424242436363636363648484848
order1222344666121244444444366622448888121212123666121212121212224488886612122424242422448812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111-1-111-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111-1-1111-1-111-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1
χ611111-1-1111-1-111-1-1-1-1111111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-111-1-111-1-111-1-1
χ711111-1-1111-1-1-1-1-1-11111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111
χ811111-1-1111-1-1-1-1-1-111111111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-111
χ911-1-11i−i-11-1i−i1-1i−ii−i1-11-11-11-1i−i1-1i−ii−i1-111-1-1i−iii−i−i1-1i−iii−i−i1-1i−i1-1i−i1-1i−i1-11-1i−i
χ1011-1-11i−i-11-1i−i1-1i−ii−i1-11-11-1-11−ii-11−iii−i1-111-1-1i−iii−i−i1-1i−i−i−iii-11−ii-11−ii-11−ii-111-1i−i
χ1111-1-11i−i-11-1i−i-11i−i−ii1-11-11-11-1i−i1-1i−ii−i1-111-1-1i−iii−i−i-11−ii−i−iii1-1i−i1-1i−i-11−ii-11-11−ii
χ1211-1-11i−i-11-1i−i-11i−i−ii1-11-11-1-11−ii-11−iii−i1-111-1-1i−iii−i−i-11−iiii−i−i-11−ii-11−ii1-1i−i1-1-11−ii
χ1311-1-11−ii-11-1−ii1-1−ii−ii1-11-11-11-1−ii1-1−ii−ii1-111-1-1−ii−i−iii1-1−ii−i−iii1-1−ii1-1−ii1-1−ii1-11-1−ii
χ1411-1-11−ii-11-1−ii1-1−ii−ii1-11-11-1-11i−i-11i−i−ii1-111-1-1−ii−i−iii1-1−iiii−i−i-11i−i-11i−i-11i−i-111-1−ii
χ1511-1-11−ii-11-1−ii-11−iii−i1-11-11-11-1−ii1-1−ii−ii1-111-1-1−ii−i−iii-11i−iii−i−i1-1−ii1-1−ii-11i−i-11-11i−i
χ1611-1-11−ii-11-1−ii-11−iii−i1-11-11-1-11i−i-11i−i−ii1-111-1-1−ii−i−iii-11i−i−i−iii-11i−i-11i−i1-1−ii1-1-11i−i
χ1722222222222222222222-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-12222000000000000000000-1-1-1-1
χ18222222222222-2-222-2-222-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000000000001111
χ1922222-2-2222-2-222-2-2-2-222-1-1-1-100000000-2-222-1-1-1-111111122-2-2000000000000000000-1-111
χ2022222-2-2222-2-2-2-2-2-22222-1-1-1-100000000-2-222-1-1-1-1111111-2-22200000000000000000011-1-1
χ212222-122-1-1-1-1-100220022222222222222-1-1-1-1-1-1-1-122-1-1-1-100000000-1-1-1-1-1-1-1-10000000000
χ222222-122-1-1-1-1-1002200222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-100000000111111110000000000
χ232222-1-2-2-1-1-11100-2-20022222222-2-222-2-211-1-1-1-1-1-1-2-2111100000000-1-111-1-1110000000000
χ242222-1-2-2-1-1-11100-2-200222222-2-222-2-22211-1-1-1-1-1-1-2-211110000000011-1-111-1-10000000000
χ2522-2-222i−2i-22-22i−2i2-22i−2i2i−2i2-2-11-11000000002i−2i2-2-1-111−ii−i−iii2-22i−2i000000000000000000-11−ii
χ2622-2-222i−2i-22-22i−2i-222i−2i−2i2i2-2-11-11000000002i−2i2-2-1-111−ii−i−iii-22−2i2i0000000000000000001-1i−i
χ2722-2-22−2i2i-22-2−2i2i2-2−2i2i−2i2i2-2-11-1100000000−2i2i2-2-1-111i−iii−i−i2-2−2i2i000000000000000000-11i−i
χ2822-2-22−2i2i-22-2−2i2i-22−2i2i2i−2i2-2-11-1100000000−2i2i2-2-1-111i−iii−i−i-222i−2i0000000000000000001-1−ii
χ2922-2-2-12i−2i1-11−ii002i−2i002-22-22-22-22i−2i2-22i−2i−ii-11-1-1112i−2i−i−iii00000000-11−ii-11−ii0000000000
χ3022-2-2-12i−2i1-11−ii002i−2i002-22-22-2-22−2i2i-22−2i2i−ii-11-1-1112i−2i−i−iii000000001-1i−i1-1i−i0000000000
χ3122-2-2-1−2i2i1-11i−i00−2i2i002-22-22-22-2−2i2i2-2−2i2ii−i-11-1-111−2i2iii−i−i00000000-11i−i-11i−i0000000000
χ3222-2-2-1−2i2i1-11i−i00−2i2i002-22-22-2-222i−2i-222i−2ii−i-11-1-111−2i2iii−i−i000000001-1−ii1-1−ii0000000000
χ3333333333333333-1-133-1-100001111-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-11111-1-1-1-11111-1-10000
χ3433333333333333-1-133-1-10000-1-1-1-11111-1-1-1-10000000000-1-1-1-11111-1-1-1-11111-1-1-1-1110000
χ35333333333333-3-3-1-1-3-3-1-100001111-1-1-1-1-1-1-1-10000000000111111111111-1-1-1-1-1-1-1-1110000
χ36333333333333-3-3-1-1-3-3-1-10000-1-1-1-11111-1-1-1-100000000001111-1-1-1-1-1-1-1-111111111-1-10000
χ3733333-3-3333-3-33311-3-3-1-1000011-1-1-1-11111-1-10000000000-1-111111111-1-1-1-11111-1-1-1-10000
χ3833333-3-3333-3-33311-3-3-1-10000-1-11111-1-111-1-10000000000-1-111-1-1-1-1-1-11111-1-1-1-111110000
χ3933333-3-3333-3-3-3-31133-1-1000011-1-1-1-11111-1-1000000000011-1-1-1-1-1-111-1-1-1-111-1-111110000
χ4033333-3-3333-3-3-3-31133-1-10000-1-11111-1-111-1-1000000000011-1-11111-1-11111-1-111-1-1-1-10000
χ4133-3-333i−3i-33-33i−3i3-3−ii3i−3i-1100001-1i−i-11−ii−ii-110000000000-11−ii−i−iii1-1i−i-11−ii1-1i−i-110000
χ4233-3-333i−3i-33-33i−3i3-3−ii3i−3i-110000-11−ii1-1i−i−ii-110000000000-11−iiii−i−i-11−ii1-1i−i-11−ii1-10000
χ4333-3-333i−3i-33-33i−3i-33−ii−3i3i-1100001-1i−i-11−ii−ii-1100000000001-1i−iii−i−i1-1i−i-11−ii-11−ii1-10000
χ4433-3-333i−3i-33-33i−3i-33−ii−3i3i-110000-11−ii1-1i−i−ii-1100000000001-1i−i−i−iii-11−ii1-1i−i1-1i−i-110000
χ4533-3-33−3i3i-33-3−3i3i3-3i−i−3i3i-1100001-1−ii-11i−ii−i-110000000000-11i−iii−i−i1-1−ii-11i−i1-1−ii-110000
χ4633-3-33−3i3i-33-3−3i3i3-3i−i−3i3i-110000-11i−i1-1−iii−i-110000000000-11i−i−i−iii-11i−i1-1−ii-11i−i1-10000
χ4733-3-33−3i3i-33-3−3i3i-33i−i3i−3i-1100001-1−ii-11i−ii−i-1100000000001-1−ii−i−iii1-1−ii-11i−i-11i−i1-10000
χ4833-3-33−3i3i-33-3−3i3i-33i−i3i−3i-110000-11i−i1-1−iii−i-1100000000001-1−iiii−i−i-11i−i1-1−ii1-1−ii-110000
χ494444-244-2-2-2-2-200440044-2-2-2-200000000-2-2-2-21111-2-2111100000000000000000000000000
χ504444-2-4-4-2-2-22200-4-40044-2-2-2-20000000022-2-2111122-1-1-1-100000000000000000000000000
χ5144-4-4-24i−4i2-22−2i2i004i−4i004-4-22-2200000000−2i2i-2211-1-1−2i2iii−i−i00000000000000000000000000
χ5244-4-4-2−4i4i2-222i−2i00−4i4i004-4-22-22000000002i−2i-2211-1-12i−2i−i−iii00000000000000000000000000
χ534-44-4400-4-440000000000-2-222000000000000-22-22000000000022−2222−22000000000000000000
χ544-44-4400-4-440000000000-2-222000000000000-22-220000000000−2222−2222000000000000000000
χ554-4-444004-4-40000000000-222-2000000000000-222-200000000002i2−2i2−2i22i2000000000000000000
χ564-4-444004-4-40000000000-222-2000000000000-222-20000000000−2i22i22i2−2i2000000000000000000
χ576666-366-3-3-3-3-300-2-200-2-200002222-2-2-2-21111000000000000000000-1-1-1-111110000000000
χ586666-366-3-3-3-3-300-2-200-2-20000-2-2-2-2222211110000000000000000001111-1-1-1-10000000000
χ596666-3-6-6-3-3-333002200-2-2000022-2-2-2-222-1-111000000000000000000-1-11111-1-10000000000
χ606666-3-6-6-3-3-333002200-2-20000-2-22222-2-2-1-11100000000000000000011-1-1-1-1110000000000
χ6166-6-6-36i−6i3-33−3i3i00−2i2i00-2200002-22i−2i-22−2i2ii−i1-1000000000000000000-11−ii1-1i−i0000000000
χ6266-6-6-36i−6i3-33−3i3i00−2i2i00-220000-22−2i2i2-22i−2ii−i1-10000000000000000001-1i−i-11−ii0000000000
χ6366-6-6-3−6i6i3-333i−3i002i−2i00-2200002-2−2i2i-222i−2i−ii1-1000000000000000000-11i−i1-1−ii0000000000
χ6466-6-6-3−6i6i3-333i−3i002i−2i00-220000-222i−2i2-2−2i2i−ii1-10000000000000000001-1−ii-11i−i0000000000
χ658-88-8800-8-88000000000022-2-20000000000002-22-200000000000000000000000000000000
χ668-88-8-40044-4000000000022-2-2000000000000-11-11003i−3i3i−3i00000000000000000000000000
χ678-88-8-40044-4000000000022-2-2000000000000-11-1100−3i3i−3i3i00000000000000000000000000
χ688-88-8-40044-40000000000-4-4440000000000002-22-200000000000000000000000000000000
χ698-8-888008-8-800000000002-2-220000000000002-2-2200000000000000000000000000000000
χ708-8-88-400-44400000000002-2-22000000000000-111-1003-3-3300000000000000000000000000
χ718-8-88-400-44400000000002-2-22000000000000-111-100-333-300000000000000000000000000
χ728-8-88-400-4440000000000-444-40000000000002-2-2200000000000000000000000000000000

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