Finite Group Databasebeta

← Group #11920719

Character table — Group #11920719

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222666688881212121212121212121212121212121212121616161616161616161624242424242436364848484872727272
order122234466612121212224436662244446612121212121212121212366612121212121288242424244466664488
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
χ51-11-111-1-1-1111-1-11-11-11-1-111-1ii−i−i1-11-1iiii−i−i−i−i1-1-111-111-1-1i−iii−i−i1-111-1-1i−ii−i
χ61-11-111-1-1-1111-1-11-11-11-1-111-1−i−iii1-11-1−i−i−i−iiiii1-1-111-111-1-1−ii−i−iii1-111-1-1−ii−ii
χ71-11-111-1-1-1111-1-11-11-11-1-11-11ii−i−i1-11-1iiii−i−i−i−i1-1-111-111-1-1i−iii−i−i-11-1-111−ii−ii
χ81-11-111-1-1-1111-1-11-11-11-1-11-11−i−iii1-11-1−i−i−i−iiiii1-1-111-111-1-1−ii−i−iii-11-1-111i−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
χ182-22-222-2-2-2222-2-22-22-2-111-12-200002-22-200000000-111-1-11-1-1110000002-2-1-1110000
χ192-22-222-2-2-2222-2-22-22-2-111-1-2200002-22-200000000-111-1-11-1-111000000-2211-1-10000
χ202-22-22-22-2-22-2-222-222-22-2-22000000-222-2000000002-2-22-22-2-2220000000000000000
χ212-22-22-22-2-22-2-222-222-2-111-1000000-222-200000000-111-11-111-1-100000000−i3i3i3−i30000
χ222-22-22-22-2-22-2-222-222-2-111-1000000-222-200000000-111-11-111-1-100000000i3−i3−i3i30000
χ232-22-2-12-211-1-1-1112-22-22-2-22002i2i−2i−2i-11-11−i−i−i−iiiii-111-12-2-1-1112i−2i−i−iii0000000000
χ242-22-2-12-211-1-1-1112-22-22-2-2200−2i−2i2i2i-11-11iiii−i−i−i−i-111-12-2-1-111−2i2iii−i−i0000000000
χ252-22-2-1-2211-111-1-1-222-22-2-220000001-1-11−i3−i3i3i3i3i3−i3−i3-111-1-2211-1-100−i3i3i3−i30000000000
χ262-22-2-1-2211-111-1-1-222-22-2-220000001-1-11i3i3−i3−i3−i3−i3i3i3-111-1-2211-1-100i3−i3−i3i30000000000
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
χ313-33-333-3-3-3333-3-3-11-1100003-3ii−i−i-11-11iiii−i−i−i−i0000000000−ii−i−iii-110000−iii−i
χ323-33-333-3-3-3333-3-3-11-1100003-3−i−iii-11-11−i−i−i−iiiii0000000000i−iii−i−i-110000i−i−ii
χ333-33-333-3-3-3333-3-3-11-110000-33ii−i−i-11-11iiii−i−i−i−i0000000000−ii−i−iii1-10000i−i−ii
χ343-33-333-3-3-3333-3-3-11-110000-33−i−iii-11-11−i−i−i−iiiii0000000000i−iii−i−i1-10000−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
χ3744-4-44004-4-400000000-22-22002-22-200002-22-22-22-2-22-220000000000000000000000
χ3844-4-44004-4-400000000-22-2200-22-220000-22-22-22-22-22-220000000000000000000000
χ3944-4-4-200-22223−2323−230000-22-22002-22-20000−1+31−3−1−31+3−1+31−3−1−31+31-11-1003−33−30000000000000000
χ4044-4-4-200-22223−2323−230000-22-2200-22-2200001−3−1+31+3−1−31−3−1+31+3−1−31-11-1003−33−30000000000000000
χ4144-4-4-200-222−2323−23230000-22-22002-22-20000−1−31+3−1+31−3−1−31+3−1+31−31-11-100−33−330000000000000000
χ4244-4-4-200-222−2323−23230000-22-2200-22-2200001+3−1−31−3−1+31+3−1−31−3−1+31-11-100−33−330000000000000000
χ434-44-4-24-422-2-2-2224-44-4-222-2000000-22-22000000001-1-11-2211-1-10000000000000000
χ444-44-4-2-4422-222-2-2-444-4-222-20000002-2-22000000001-1-112-2-1-1110000000000000000
χ454-4-44400-44-400000000-2-222002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i-2-2220000000000000000000000
χ464-4-44400-44-400000000-2-22200−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i-2-2220000000000000000000000
χ474-4-44-2002-2223−23−23230000-2-222002i−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+ζ1111-1-1003−3−330000000000000000
χ484-4-44-2002-2223−23−23230000-2-22200−2i2i2i−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−ζ1111-1-1003−3−330000000000000000
χ494-4-44-2002-22−232323−230000-2-222002i−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+ζ1111-1-100−333−30000000000000000
χ504-4-44-2002-22−232323−230000-2-22200−2i2i2i−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−ζ1111-1-100−333−30000000000000000
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
χ566-66-66-66-6-66-6-6662-2-2200000000002-2-220000000000000000000000000000000000
χ576-66-6-36-633-3-3-333-22-220000002i2i−2i−2i1-11-1−i−i−i−iiiii0000000000−2i2iii−i−i0000000000
χ586-66-6-36-633-3-3-333-22-22000000−2i−2i2i2i1-11-1iiii−i−i−i−i00000000002i−2i−i−iii0000000000
χ596-66-6-3-6633-333-3-32-2-220000000000-111-1−i3−i3i3i3i3i3−i3−i3000000000000i3−i3−i3i30000000000
χ606-66-6-3-6633-333-3-32-2-220000000000-111-1i3i3−i3−i3−i3−i3i3i3000000000000−i3i3i3−i30000000000
χ6188-8-88008-8-8000000002-22-20000000000000000002-22-20000000000000000000000
χ6288-8-8-400-44443−4343−4300002-22-2000000000000000000-11-1100−33−330000000000000000
χ6388-8-8-400-444−4343−434300002-22-2000000000000000000-11-11003−33−30000000000000000
χ648-8-88800-88-80000000022-2-200000000000000000022-2-20000000000000000000000
χ658-8-88-4004-4443−43−4343000022-2-2000000000000000000-1-11100−333−30000000000000000
χ668-8-88-4004-44−434343−43000022-2-2000000000000000000-1-111003−3−330000000000000000

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