Finite Group Databasebeta

← Group #11920687

Character table — Group #11920687

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222666688881212121212121212121212121212121212121616161616161616161624242424242436364848484872727272
order1222344666121212122244366644444466121212121212121212123666121212121212882424242444121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1
χ31111111111111111111111-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-1-11-11-1-11-1-111-111-11-11-1i−i11-1-1-111-11111-1-1-1-11-1-111-111-1-11-111-1-1i−iii−i−ii−ii−i
χ611-1-11-11-1-11-1-111-111-11-11-1i−i-1-111-111-1-1-1-1-111111-1-111-111-1-1-11-1-111i−iii−i−i−ii−ii
χ711-1-11-11-1-11-1-111-111-11-11-1−ii11-1-1-111-11111-1-1-1-11-1-111-111-1-11-111-1-1−ii−i−iii−ii−ii
χ811-1-11-11-1-11-1-111-111-11-11-1−ii-1-111-111-1-1-1-1-111111-1-111-111-1-1-11-1-111−ii−i−iiii−ii−i
χ9222222222222222222-1-1-1-1220000222200000000-1-1-1-1-1-1-1-1-1-100000022-1-1-1-10000
χ10222222222222222222-1-1-1-1-2-20000222200000000-1-1-1-1-1-1-1-1-1-1000000-2-211110000
χ1122222-2-2222-2-2-2-2-2-2222222000000-2-222000000002222-2-2-2-2-2-20000000000000000
χ1222222-2-2222-2-2-2-2-2-222-1-1-1-1000000-2-22200000000-1-1-1-111111100000000−i3i3−i3i30000
χ1322222-2-2222-2-2-2-2-2-222-1-1-1-1000000-2-22200000000-1-1-1-111111100000000i3−i3i3−i30000
χ142222-122-1-1-1-1-1-1-122222222002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-10000000000
χ152222-122-1-1-1-1-1-1-12222222200-2-2-2-2-1-1-1-111111111-1-1-1-122-1-1-1-1-2-211110000000000
χ162222-1-2-2-1-1-11111-2-222222200000011-1-133−3−333−3−3-1-1-1-1-2-21111003−33−30000000000
χ172222-1-2-2-1-1-11111-2-222222200000011-1-1−3−333−3−333-1-1-1-1-2-2111100−33−330000000000
χ1822-2-222-2-2-2222-2-22-22-22-22-20000002-22-2000000002-2-22-22-2-2220000000000000000
χ1922-2-222-2-2-2222-2-22-22-2-11-110000002-22-200000000-111-11-111-1-1000000003−3−330000
χ2022-2-222-2-2-2222-2-22-22-2-11-110000002-22-200000000-111-11-111-1-100000000−333−30000
χ2122-2-22-22-2-22-2-222-222-2-11-112i−2i0000-222-200000000-111-1-11-1-1110000002i−2i−i−iii0000
χ2222-2-22-22-2-22-2-222-222-2-11-11−2i2i0000-222-200000000-111-1-11-1-111000000−2i2iii−i−i0000
χ2322-2-2-12-211-1-1-1112-22-22-22-2000000-11-1133−3−3−3−333-111-1-2211-1-1003−3−330000000000
χ2422-2-2-12-211-1-1-1112-22-22-22-2000000-11-11−3−33333−3−3-111-1-2211-1-100−333−30000000000
χ2522-2-2-1-2211-111-1-1-222-22-22-20022-2-21-1-11-1-1-1-11111-111-12-2-1-1112-2-1-1110000000000
χ2622-2-2-1-2211-111-1-1-222-22-22-200-2-2221-1-111111-1-1-1-1-111-12-2-1-111-2211-1-10000000000
χ2733333333333333-1-1-1-10000331111-1-1-1-1111111110000000000-1-1-1-1-1-1-1-10000-1-111
χ2833333333333333-1-1-1-1000033-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111-1-1000011-1-1
χ2933333333333333-1-1-1-10000-3-31111-1-1-1-1111111110000000000-1-1-1-1-1-111000011-1-1
χ3033333333333333-1-1-1-10000-3-3-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000111111110000-1-111
χ3133-3-33-33-3-33-3-3331-1-1100003i−3i11-1-11-1-111111-1-1-1-10000000000-11-1-111−ii0000−iii−i
χ3233-3-33-33-3-33-3-3331-1-1100003i−3i-1-1111-1-11-1-1-1-1111100000000001-111-1-1−ii0000i−i−ii
χ3333-3-33-33-3-33-3-3331-1-110000−3i3i11-1-11-1-111111-1-1-1-10000000000-11-1-111i−i0000i−i−ii
χ3433-3-33-33-3-33-3-3331-1-110000−3i3i-1-1111-1-11-1-1-1-1111100000000001-111-1-1i−i0000−iii−i
χ354444-244-2-2-2-2-2-2-24444-2-2-2-2000000-2-2-2-2000000001111-2-211110000000000000000
χ364444-2-4-4-2-2-22222-4-444-2-2-2-200000022-2-200000000111122-1-1-1-10000000000000000
χ3744-4-4-24-422-2-2-2224-44-4-22-22000000-22-22000000001-1-112-2-1-1110000000000000000
χ3844-4-4-2-4422-222-2-2-444-4-22-220000002-2-22000000001-1-11-2211-1-10000000000000000
χ394-44-44004-4-400000000-2-222002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i-22-220000000000000000000000
χ404-44-44004-4-400000000-2-22200−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i-22-220000000000000000000000
χ414-44-4-200-22223−2323−230000-2-222002i−2i2i−2i0000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ111-11-1003−33−30000000000000000
χ424-44-4-200-22223−2323−230000-2-22200−2i2i−2i2i0000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ111-11-1003−33−30000000000000000
χ434-44-4-200-222−2323−23230000-2-222002i−2i2i−2i0000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ111-11-100−33−330000000000000000
χ444-44-4-200-222−2323−23230000-2-22200−2i2i−2i2i0000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ111-11-100−33−330000000000000000
χ454-4-44400-44-400000000-222-2002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i-2-2220000000000000000000000
χ464-4-44400-44-400000000-222-200−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i-2-2220000000000000000000000
χ474-4-44-2002-2223−23−23230000-222-2002i−2i−2i2i0000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ1111-1-100−333−30000000000000000
χ484-4-44-2002-2223−23−23230000-222-200−2i2i2i−2i0000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ1111-1-100−333−30000000000000000
χ494-4-44-2002-22−232323−230000-222-2002i−2i−2i2i0000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ1111-1-1003−3−330000000000000000
χ504-4-44-2002-22−232323−230000-222-200−2i2i2i−2i0000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ1111-1-1003−3−330000000000000000
χ5166666-6-6666-6-6-6-622-2-2000000000022-2-20000000000000000000000000000000000
χ526666-366-3-3-3-3-3-3-3-2-2-2-200000022221111-1-1-1-1-1-1-1-10000000000-2-211110000000000
χ536666-366-3-3-3-3-3-3-3-2-2-2-2000000-2-2-2-2111111111111000000000022-1-1-1-10000000000
χ546666-3-6-6-3-3-3333322-2-20000000000-1-11133−3−333−3−3000000000000−33−330000000000
χ556666-3-6-6-3-3-3333322-2-20000000000-1-111−3−333−3−3330000000000003−33−30000000000
χ5666-6-666-6-6-6666-6-6-22-220000000000-22-220000000000000000000000000000000000
χ5766-6-6-36-633-3-3-333-22-2200000000001-11-133−3−3−3−333000000000000−333−30000000000
χ5866-6-6-36-633-3-3-333-22-2200000000001-11-1−3−33333−3−30000000000003−3−330000000000
χ5966-6-6-3-6633-333-3-32-2-2200000022-2-2-111-1-1-1-1-111110000000000-2211-1-10000000000
χ6066-6-6-3-6633-333-3-32-2-22000000-2-222-111-11111-1-1-1-100000000002-2-1-1110000000000
χ618-88-88008-8-80000000022-2-20000000000000000002-22-20000000000000000000000
χ628-88-8-400-44443−4343−43000022-2-2000000000000000000-11-1100−33−330000000000000000
χ638-88-8-400-444−4343−4343000022-2-2000000000000000000-11-11003−33−30000000000000000
χ648-8-88800-88-8000000002-2-2200000000000000000022-2-20000000000000000000000
χ658-8-88-4004-4443−43−434300002-2-22000000000000000000-1-111003−3−330000000000000000
χ668-8-88-4004-44−434343−4300002-2-22000000000000000000-1-11100−333−30000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.