Finite Group Databasebeta

← Group #14518812

Character table — Group #14518812

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111116666666666666666999999999999121212121212121212121212121212121212121212121212121212121212121254545454545454545454545454545454818181818181
order1233663333333366666666444412121212121212123333333333333333666666666666666612121212121212121212121212121212226666
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-11111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51-111-1-111111111-1-1-1-1-1-1-1-1i−ii−iii−i−iii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-1-1
χ61-111-1-111111111-1-1-1-1-1-1-1-1i−i−iiii−i−i−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-11-1-111
χ71-111-1-111111111-1-1-1-1-1-1-1-1−iii−i−i−iiiii−i−i1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-11-1-111
χ81-111-1-111111111-1-1-1-1-1-1-1-1−ii−ii−i−iii−i−iii1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-1-1
χ922222222222-1-1-122222-1-1-10022000022222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000002-1-1-12-1-1-1000000
χ1022222222222-1-1-122222-1-1-100-2-20000-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-2111-2111000000
χ112222222222-12-1-12222-12-1-1002200002222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-12-1-1-12-1-1000000
χ122222222222-12-1-12222-12-1-100-2-20000-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000001-2111-211000000
χ132222222222-1-12-12222-1-12-1002200002222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100000000-1-12-1-1-12-1000000
χ142222222222-1-12-12222-1-12-100-2-20000-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000000011-2111-21000000
χ152222222222-1-1-122222-1-1-12002200002222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-1-12-1-1-12000000
χ162222222222-1-1-122222-1-1-1200-2-20000-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000111-2111-2000000
χ172222222-1-1-122222-1-1-122222200222200002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-100000000000000
χ182222222-1-1-122222-1-1-12222-2-200-2-2-2-200002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-2111-211100000000000000
χ19222222-12-1-12222-12-1-12222220022220000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000000000000
χ20222222-12-1-12222-12-1-12222-2-200-2-2-2-20000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-11-2111-21100000000000000
χ21222222-1-12-12222-1-12-12222220022220000-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-100000000000000
χ22222222-1-12-12222-1-12-12222-2-200-2-2-2-20000-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-111-2111-2100000000000000
χ23222222-1-1-122222-1-1-122222220022220000-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1200000000000000
χ24222222-1-1-122222-1-1-122222-2-200-2-2-2-20000-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12111-2111-200000000000000
χ252-222-2-222222-1-1-1-2-2-2-2-2111002i−2i00002i2i−2i−2i2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000002i−i−i−i−2iiii000000
χ262-222-2-222222-1-1-1-2-2-2-2-211100−2i2i0000−2i−2i2i2i2222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000−2iiii2i−i−i−i000000
χ272-222-2-22222-12-1-1-2-2-2-21-211002i−2i00002i2i−2i−2i-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000−i2i−i−ii−2iii000000
χ282-222-2-22222-12-1-1-2-2-2-21-21100−2i2i0000−2i−2i2i2i-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000i−2iii−i2i−i−i000000
χ292-222-2-22222-1-12-1-2-2-2-211-21002i−2i00002i2i−2i−2i-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111100000000−i−i2i−iii−2ii000000
χ302-222-2-22222-1-12-1-2-2-2-211-2100−2i2i0000−2i−2i2i2i-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-2111100000000ii−2ii−i−i2i−i000000
χ312-222-2-22222-1-1-12-2-2-2-2111-2002i−2i00002i2i−2i−2i-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-200000000−i−i−i2iiii−2i000000
χ322-222-2-22222-1-1-12-2-2-2-2111-200−2i2i0000−2i−2i2i2i-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-200000000iii−2i−i−i−i2i000000
χ332-222-2-22-1-1-12222-2111-2-2-2-22i−2i002i2i−2i−2i00002-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-21112i−i−i−i−2iiii00000000000000
χ342-222-2-22-1-1-12222-2111-2-2-2-2−2i2i00−2i−2i2i2i00002-1-1-12-1-1-12-1-1-12-1-1-1-2111-2111-2111-2111−2iiii2i−i−i−i00000000000000
χ352-222-2-2-12-1-122221-211-2-2-2-22i−2i002i2i−2i−2i0000-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-211−i2i−i−ii−2iii00000000000000
χ362-222-2-2-12-1-122221-211-2-2-2-2−2i2i00−2i−2i2i2i0000-12-1-1-12-1-1-12-1-1-12-1-11-2111-2111-2111-211i−2iii−i2i−i−i00000000000000
χ372-222-2-2-1-12-1222211-21-2-2-2-22i−2i002i2i−2i−2i0000-1-12-1-1-12-1-1-12-1-1-12-111-2111-2111-2111-21−i−i2i−iii−2ii00000000000000
χ382-222-2-2-1-12-1222211-21-2-2-2-2−2i2i00−2i−2i2i2i0000-1-12-1-1-12-1-1-12-1-1-12-111-2111-2111-2111-21ii−2ii−i−i2i−i00000000000000
χ392-222-2-2-1-1-122222111-2-2-2-2-22i−2i002i2i−2i−2i0000-1-1-12-1-1-12-1-1-12-1-1-12111-2111-2111-2111-2−i−i−i2iiii−2i00000000000000
χ402-222-2-2-1-1-122222111-2-2-2-2-2−2i2i00−2i−2i2i2i0000-1-1-12-1-1-12-1-1-12-1-1-12111-2111-2111-2111-2iii−2i−i−i−i2i00000000000000
χ414444444-2-2-24-2-2-24-2-2-24-2-2-20000000000004-2-2-2-2111-2111-21114-2-2-2-2111-2111-21110000000000000000000000
χ424444444-2-2-2-24-2-24-2-2-2-24-2-2000000000000-21114-2-2-2-2111-2111-21114-2-2-2-2111-21110000000000000000000000
χ434444444-2-2-2-2-24-24-2-2-2-2-24-2000000000000-2111-21114-2-2-2-2111-2111-21114-2-2-2-21110000000000000000000000
χ444444444-2-2-2-2-2-244-2-2-2-2-2-24000000000000-2111-2111-21114-2-2-2-2111-2111-21114-2-2-20000000000000000000000
χ45444444-24-2-24-2-2-2-24-2-24-2-2-2000000000000-24-2-21-2111-2111-211-24-2-21-2111-2111-2110000000000000000000000
χ46444444-24-2-2-24-2-2-24-2-2-24-2-20000000000001-211-24-2-21-2111-2111-211-24-2-21-2111-2110000000000000000000000
χ47444444-24-2-2-2-24-2-24-2-2-2-24-20000000000001-2111-211-24-2-21-2111-2111-211-24-2-21-2110000000000000000000000
χ48444444-24-2-2-2-2-24-24-2-2-2-2-240000000000001-2111-2111-211-24-2-21-2111-2111-211-24-2-20000000000000000000000
χ49444444-2-24-24-2-2-2-2-24-24-2-2-2000000000000-2-24-211-2111-2111-21-2-24-211-2111-2111-210000000000000000000000
χ50444444-2-24-2-24-2-2-2-24-2-24-2-200000000000011-21-2-24-211-2111-2111-21-2-24-211-2111-210000000000000000000000
χ51444444-2-24-2-2-24-2-2-24-2-2-24-200000000000011-2111-21-2-24-211-2111-2111-21-2-24-211-210000000000000000000000
χ52444444-2-24-2-2-2-24-2-24-2-2-2-2400000000000011-2111-2111-21-2-24-211-2111-2111-21-2-24-20000000000000000000000
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χ54444444-2-2-24-24-2-2-2-2-24-24-2-2000000000000111-2-2-2-24111-2111-2111-2-2-2-24111-2111-20000000000000000000000
χ55444444-2-2-24-2-24-2-2-2-24-2-24-2000000000000111-2111-2-2-2-24111-2111-2111-2-2-2-24111-20000000000000000000000
χ56444444-2-2-24-2-2-24-2-2-24-2-2-24000000000000111-2111-2111-2-2-2-24111-2111-2111-2-2-2-240000000000000000000000
χ574-444-4-44-2-2-24-2-2-2-4222-42220000000000004-2-2-2-2111-2111-2111-42222-1-1-12-1-1-12-1-1-10000000000000000000000
χ584-444-4-44-2-2-2-24-2-2-42222-422000000000000-21114-2-2-2-2111-21112-1-1-1-42222-1-1-12-1-1-10000000000000000000000
χ594-444-4-44-2-2-2-2-24-2-422222-42000000000000-2111-21114-2-2-2-21112-1-1-12-1-1-1-42222-1-1-10000000000000000000000
χ604-444-4-44-2-2-2-2-2-24-4222222-4000000000000-2111-2111-21114-2-2-22-1-1-12-1-1-12-1-1-1-42220000000000000000000000
χ614-444-4-4-24-2-24-2-2-22-422-4222000000000000-24-2-21-2111-2111-2112-422-12-1-1-12-1-1-12-1-10000000000000000000000
χ624-444-4-4-24-2-2-24-2-22-4222-4220000000000001-211-24-2-21-2111-211-12-1-12-422-12-1-1-12-1-10000000000000000000000
χ634-444-4-4-24-2-2-2-24-22-42222-420000000000001-2111-211-24-2-21-211-12-1-1-12-1-12-422-12-1-10000000000000000000000
χ644-444-4-4-24-2-2-2-2-242-422222-40000000000001-2111-2111-211-24-2-2-12-1-1-12-1-1-12-1-12-4220000000000000000000000
χ654-444-4-4-2-24-24-2-2-222-42-4222000000000000-2-24-211-2111-2111-2122-42-1-12-1-1-12-1-1-12-10000000000000000000000
χ664-444-4-4-2-24-2-24-2-222-422-42200000000000011-21-2-24-211-2111-21-1-12-122-42-1-12-1-1-12-10000000000000000000000
χ674-444-4-4-2-24-2-2-24-222-4222-4200000000000011-2111-21-2-24-211-21-1-12-1-1-12-122-42-1-12-10000000000000000000000
χ684-444-4-4-2-24-2-2-2-2422-42222-400000000000011-2111-2111-21-2-24-2-1-12-1-1-12-1-1-12-122-420000000000000000000000
χ694-444-4-4-2-2-244-2-2-2222-4-4222000000000000-2-2-24111-2111-2111-2222-4-1-1-12-1-1-12-1-1-120000000000000000000000
χ704-444-4-4-2-2-24-24-2-2222-42-422000000000000111-2-2-2-24111-2111-2-1-1-12222-4-1-1-12-1-1-120000000000000000000000
χ714-444-4-4-2-2-24-2-24-2222-422-42000000000000111-2111-2-2-2-24111-2-1-1-12-1-1-12222-4-1-1-120000000000000000000000
χ724-444-4-4-2-2-24-2-2-24222-4222-4000000000000111-2111-2111-2-2-2-24-1-1-12-1-1-12-1-1-12222-40000000000000000000000
χ7399−9−9i32−9+9i32−9−9i32−9+9i3200000000000000003333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000000000000000000000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ7499−9−9i32−9+9i32−9−9i32−9+9i32000000000000000033-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i32000000000000000000000000000000000000000000000000-1-11+i321−i321+i321−i32
χ7599−9−9i32−9+9i32−9−9i32−9+9i320000000000000000-3-3333+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000000000000-1-11+i321−i321+i321−i32
χ7699−9−9i32−9+9i32−9−9i32−9+9i320000000000000000-3-3-3-33+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3200000000000000000000000000000000000000000000000011−1−i32−1+i32−1−i32−1+i32
χ7799−9+9i32−9−9i32−9+9i32−9−9i3200000000000000003333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ7899−9+9i32−9−9i32−9+9i32−9−9i32000000000000000033-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i32000000000000000000000000000000000000000000000000-1-11−i321+i321−i321+i32
χ7999−9+9i32−9−9i32−9+9i32−9−9i320000000000000000-3-3333−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000000000000000000000-1-11−i321+i321−i321+i32
χ8099−9+9i32−9−9i32−9+9i32−9−9i320000000000000000-3-3-3-33−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3200000000000000000000000000000000000000000000000011−1+i32−1−i32−1+i32−1−i32
χ819-9−9−9i32−9+9i329+9i329−9i3200000000000000003i−3i3i−3i3ζ113ζ7−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ70000000000000000000000000000000000000000000000001-1−1−i32−1+i321+i321−i32
χ829-9−9−9i32−9+9i329+9i329−9i3200000000000000003i−3i−3i3i3ζ113ζ7−3ζ11−3ζ7−3ζ11−3ζ73ζ113ζ7000000000000000000000000000000000000000000000000-111+i321−i32−1−i32−1+i32
χ839-9−9−9i32−9+9i329+9i329−9i320000000000000000−3i3i3i−3i−3ζ11−3ζ73ζ113ζ73ζ113ζ7−3ζ11−3ζ7000000000000000000000000000000000000000000000000-111+i321−i32−1−i32−1+i32
χ849-9−9−9i32−9+9i329+9i329−9i320000000000000000−3i3i−3i3i−3ζ11−3ζ73ζ113ζ7−3ζ11−3ζ73ζ113ζ70000000000000000000000000000000000000000000000001-1−1−i32−1+i321+i321−i32
χ859-9−9+9i32−9−9i329−9i329+9i3200000000000000003i−3i3i−3i3ζ73ζ11−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ110000000000000000000000000000000000000000000000001-1−1+i32−1−i321−i321+i32
χ869-9−9+9i32−9−9i329−9i329+9i3200000000000000003i−3i−3i3i3ζ73ζ11−3ζ7−3ζ11−3ζ7−3ζ113ζ73ζ11000000000000000000000000000000000000000000000000-111−i321+i32−1+i32−1−i32
χ879-9−9+9i32−9−9i329−9i329+9i320000000000000000−3i3i3i−3i−3ζ7−3ζ113ζ73ζ113ζ73ζ11−3ζ7−3ζ11000000000000000000000000000000000000000000000000-111−i321+i32−1+i32−1−i32
χ889-9−9+9i32−9−9i329−9i329+9i320000000000000000−3i3i−3i3i−3ζ7−3ζ113ζ73ζ11−3ζ7−3ζ113ζ73ζ110000000000000000000000000000000000000000000000001-1−1+i32−1−i321−i321+i32

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