Finite Group Databasebeta

← Group #11787918

Character table — Group #11787918

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244334466666612121212121212124444444412121212121222442288121212121212242424244444446688
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ511111111-1-11111111-1-1-1-111111-1-1-1-1111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111-1-11111111-1-1-1-111111-1-1-1-1111111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ711111111-1-11111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ811111111-1-11111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111
χ91-11-11-111i−i-11-1-1-111ii−i−i1-1-1i−i11-1-1i−iii−i−ii−i-111-11-1i−ii−i11-1-1ii−i−ii−i11-1-11-1i−i
χ101-11-11-111i−i-11-1-1-111ii−i−i1-1-1i−i11-1-1i−iii−i−ii−i-111-1-11−iii−i11-1-1−i−iiii−i-1-111-11−ii
χ111-11-11-111i−i-11-1-1-111ii−i−i1-1-1−ii-1-111−ii−i−iiii−i-111-11-1i−i−ii-1-111ii−i−ii−i-1-1111-1−ii
χ121-11-11-111i−i-11-1-1-111ii−i−i1-1-1−ii-1-111−ii−i−iiii−i-111-1-11−ii−ii-1-111−i−iiii−i11-1-1-11i−i
χ131-11-11-111−ii-11-1-1-111−i−iii1-1-1i−i-1-111i−iii−i−i−ii-111-11-1−iii−i-1-111−i−iii−ii-1-1111-1i−i
χ141-11-11-111−ii-11-1-1-111−i−iii1-1-1i−i-1-111i−iii−i−i−ii-111-1-11i−ii−i-1-111ii−i−i−ii11-1-1-11−ii
χ151-11-11-111−ii-11-1-1-111−i−iii1-1-1−ii11-1-1−ii−i−iii−ii-111-11-1−ii−ii11-1-1−i−iii−ii11-1-11-1−ii
χ161-11-11-111−ii-11-1-1-111−i−iii1-1-1−ii11-1-1−ii−i−iii−ii-111-1-11i−i−ii11-1-1ii−i−i−ii-1-111-11i−i
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-22222222-2-2-2-2222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-22200222222-20000-2-2-2002-22-20000000022-2-20000002-22-200000000000000
χ202222-2-22200222222-20000-2-2-200-22-220000000022-2-2000000-22-2200000000000000
χ212222-2-22200222222-20000-2-2-2220000-2-2-2-2-2-200-2-222000022000000000000000000
χ222222-2-22200222222-20000-2-2-2-2-2000022222200-2-2220000-2-2000000000000000000
χ232-22-22-2222i−2i-22-2-2-2222i2i−2i−2i2-2-20000000000002i−2i2-2-2200000000000000−2i2i00000000
χ242-22-22-222−2i2i-22-2-2-222−2i−2i2i2i2-2-2000000000000−2i2i2-2-22000000000000002i−2i00000000
χ252-22-2-222200-22-2-2-22-20000-222002-2-2200000000-22-220000002-2-2200000000000000
χ262-22-2-222200-22-2-2-22-20000-22200-222-200000000-22-22000000-222-200000000000000
χ272-22-2-222200-22-2-2-22-20000-2222i−2i0000−2i2i−2i−2i2i2i002-22-200002i−2i000000000000000000
χ282-22-2-222200-22-2-2-22-20000-222−2i2i00002i−2i2i2i−2i−2i002-22-20000−2i2i000000000000000000
χ294444441-244-2-2-2111-2111111-222222222-1-1-1-1-2-200000000-1-1-1-1-1-100000000000000
χ304444441-244-2-2-2111-2111111-2-2-2-2-2-2-2-2-21111-2-20000000011111100000000000000
χ314444441-2-4-4-2-2-2111-2-1-1-1-111-222-2-2-2-222-1-1-1-12200000000-1-1111100000000000000
χ324444441-2-4-4-2-2-2111-2-1-1-1-111-2-2-22222-2-21111220000000011-1-1-1-100000000000000
χ33444444-2144111-2-2-21-2-2-2-2-2-210000000000001100002222000000-1-1-1-1000000-1-100
χ34444444-2144111-2-2-21-2-2-2-2-2-21000000000000110000-2-2-2-200000011110000001100
χ35444444-21-4-4111-2-2-212222-2-21000000000000-1-1000022-2-20000001111000000-1-100
χ36444444-21-4-4111-2-2-212222-2-21000000000000-1-10000-2-222000000-1-1-1-10000001100
χ374444-4-41-200-2-2-211123-33-3-1-12222-22-2-2-211110000000000-1-1-11-1100000000000000
χ384444-4-41-200-2-2-211123-33-3-1-12-2-2-22-2222-1-1-1-10000000000111-11-100000000000000
χ394444-4-41-200-2-2-21112-33-33-1-1222-22-22-2-211110000000000-1-11-11-100000000000000
χ404444-4-41-200-2-2-21112-33-33-1-12-2-22-22-222-1-1-1-1000000000011-11-1100000000000000
χ4144-4-4004400-4-44-44-40000000000000000000000000000000000000000002i−2i2i−2i0000
χ4244-4-4004400-4-44-44-4000000000000000000000000000000000000000000−2i2i−2i2i0000
χ434-44-44-41-24i−4i2-22-1-11-2ii−i−i1-122i−2i22-2-22i−2i−i−iii−2i2i00000000−ii-1-11100000000000000
χ444-44-44-41-24i−4i2-22-1-11-2ii−i−i1-12−2i2i-2-222−2i2iii−i−i−2i2i00000000i−i11-1-100000000000000
χ454-44-44-41-2−4i4i2-22-1-11-2−i−iii1-122i−2i-2-2222i−2i−i−iii2i−2i00000000−ii11-1-100000000000000
χ464-44-44-41-2−4i4i2-22-1-11-2−i−iii1-12−2i2i22-2-2−2i2iii−i−i2i−2i00000000i−i-1-11100000000000000
χ474-44-44-4-214i−4i-11-122-21−2i−2i2i2i-22-1000000000000i−i00002-22i−2i000000−i−iii000000-1100
χ484-44-44-4-214i−4i-11-122-21−2i−2i2i2i-22-1000000000000i−i0000-22−2i2i000000ii−i−i0000001-100
χ494-44-44-4-21−4i4i-11-122-212i2i−2i−2i-22-1000000000000−ii00002-2−2i2i000000ii−i−i000000-1100
χ504-44-44-4-21−4i4i-11-122-212i2i−2i−2i-22-1000000000000−ii0000-222i−2i000000−i−iii0000001-100
χ514-44-4-441-2002-22-1-1123i−3i−3i3i-11-22i−2i2-2-22−2i2iii−i−i0000000000−ii-111-100000000000000
χ524-44-4-441-2002-22-1-1123i−3i−3i3i-11-2−2i2i-222-22i−2i−i−iii0000000000i−i1-1-1100000000000000
χ534-44-4-441-2002-22-1-112−3i3i3i−3i-11-22i−2i-222-2−2i2iii−i−i0000000000−ii1-1-1100000000000000
χ544-44-4-441-2002-22-1-112−3i3i3i−3i-11-2−2i2i2-2-222i−2i−i−iii0000000000i−i-111-100000000000000
χ554-4-440044004-4-44-4-40000000000000000000000000000000000000000002i−2i−2i2i0000
χ564-4-440044004-4-44-4-4000000000000000000000000000000000000000000−2i2i2i−2i0000
χ578888-8-8-4200222-4-4-4-2000044-2000000000000000000000000000000000000000000
χ5888-8-8002-40044-4-22-2000000000000000023−2323−23000000000000000000000000000000
χ5988-8-8002-40044-4-22-20000000000000000−2323−2323000000000000000000000000000000
χ6088-8-800-4200-2-224-44000000000000000000000000000000000000i6−i6i6−i60000000000
χ6188-8-800-4200-2-224-44000000000000000000000000000000000000−i6i6−i6i60000000000
χ628-88-8-88-4200-22-244-4-200004-42000000000000000000000000000000000000000000
χ638-8-88002-400-4442-2-20000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ648-8-88002-400-4442-2-200000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ658-8-8800-42002-2-2-4440000000000000000000000000000000000006−6−660000000000
χ668-8-8800-42002-2-2-444000000000000000000000000000000000000−666−60000000000

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