Finite Group Databasebeta

← Group #14518027

Character table — Group #14518027

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61
size1113333333336888999999181818182424242424242424545454545454545454545454545454545454545454727272727272
order13323333336633336666663699333333332466666666612121212121212121818339999
χ11111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ31111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ41111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321+i321+i321+i321-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ51111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ61111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321−i321−i321−i321-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ72222222222222222222222-12-1-1222222220000000000-100000000-1-1-1-1-1-1-1-1
χ82222222222222-1-1-12222222222-1-1-1-1-1-1-1-1000000000020000000022-1-1-1-1-1-1
χ92222222222222-1-1-1222222-12-1-1-1-1-1-1-1-1-1-10000000000-100000000-1-12-12-12-1
χ102222222222222-1-1-1222222-12-1-1-1-1-1-1-1-1-1-10000000000-100000000-1-1-12-12-12
χ112222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-121−i321+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i30000000000-1000000001−i321+i32-1-11−i321−i321+i321+i32
χ122222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1−i3-1-11−i321−i321−i321+i321+i321+i320000000000200000000−1+i3−1−i3-1-11−i321−i321+i321+i32
χ132222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-121−i321+i32-1-11−i321−i321−i321+i321+i321+i320000000000-1000000001−i321+i322-1−1+i31−i32−1−i31+i32
χ142222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-121−i321+i32-1-11−i321−i321−i321+i321+i321+i320000000000-1000000001−i321+i32-121−i32−1+i31+i32−1−i3
χ152222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-121+i321−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i30000000000-1000000001+i321−i32-1-11+i321+i321−i321−i32
χ162222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1+i3-1-11+i321+i321+i321−i321−i321−i320000000000200000000−1−i3−1+i3-1-11+i321+i321−i321−i32
χ172222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-121+i321−i32-1-11+i321+i321+i321−i321−i321−i320000000000-1000000001+i321−i322-1−1−i31+i32−1+i31−i32
χ182222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-121+i321−i32-1-11+i321+i321+i321−i321−i321−i320000000000-1000000001+i321−i32-121+i32−1−i31−i32−1+i3
χ19333-1333333-1-13000-1-1-1-1-1-13-133000000001-111111111-1-1-1-1-1-1-1-1-1-1-1000000
χ20333-1333333-1-13000-1-1-1-1-1-13-13300000000-11-1-1-1-1-1-1-1-1-111111111-1-1000000
χ21333-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-130001−i321−i321−i321+i321+i321+i323-1−3+3i32−3−3i32000000001-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i321−i321+i32000000
χ22333-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-130001−i321−i321−i321+i321+i321+i323-1−3+3i32−3−3i3200000000-11-1-11−i321−i321−i321+i321+i321+i32-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321+i32000000
χ23333-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-130001+i321+i321+i321−i321−i321−i323-1−3−3i32−3+3i32000000001-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i321+i321−i32000000
χ24333-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-130001+i321+i321+i321−i321−i321−i323-1−3−3i32−3+3i3200000000-11-1-11+i321+i321+i321−i321−i321−i32-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321−i32000000
χ253−3+3i32−3−3i323i33−i32−3−i323+i32−3+i32−i3−3+3i32−3−3i3203−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000000i33−i32−3−i323+i32−3+i32−i311−1+i32−1−i321−1+i32−1−i321−1+i32−1−i320−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000
χ263−3+3i32−3−3i323i33−i32−3−i323+i32−3+i32−i3−3+3i32−3−3i3203−3+3i32−3−3i32i33−i32−3−i323+i32−3+i32−i3000000i33−i32−3−i323+i32−3+i32−i3-1-11−i321+i32-11−i321+i32-11−i321+i3201−i321+i32-11−i321+i32-11−i321+i3200000000
χ273−3+3i32−3−3i3233−i32−3−i32i3−3+i32−i33+i32−3+3i32−3−3i3203−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320000003−i32−3−i32i3−3+i32−i33+i3211−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3210−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32100000000
χ283−3+3i32−3−3i3233−i32−3−i32i3−3+i32−i33+i32−3+3i32−3−3i3203−3+3i32−3−3i323−i32−3−i32i3−3+i32−i33+i320000003−i32−3−i32i3−3+i32−i33+i32-1-11−i321+i321+i32-11−i321−i321+i32-101−i321+i321+i32-11−i321−i321+i32-100000000
χ293−3+3i32−3−3i323−3−i32i33−i32−i33+i32−3+i32−3+3i32−3−3i3203−3+3i32−3−3i32−3−i32i33−i32−i33+i32−3+i32000000−3−i32i33−i32−i33+i32−3+i3211−1+i32−1−i32−1+i32−1−i321−1−i321−1+i320−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3200000000
χ303−3+3i32−3−3i323−3−i32i33−i32−i33+i32−3+i32−3+3i32−3−3i3203−3+3i32−3−3i32−3−i32i33−i32−i33+i32−3+i32000000−3−i32i33−i32−i33+i32−3+i32-1-11−i321+i321−i321+i32-11+i32-11−i3201−i321+i321−i321+i32-11+i32-11−i3200000000
χ313−3−3i32−3+3i3233+i32−3+i32−i3−3−i32i33−i32−3−3i32−3+3i3203−3−3i32−3+3i323+i32−3+i32−i3−3−i32i33−i320000003+i32−3+i32−i3−3−i32i33−i3211−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3210−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32100000000
χ323−3−3i32−3+3i3233+i32−3+i32−i3−3−i32i33−i32−3−3i32−3+3i3203−3−3i32−3+3i323+i32−3+i32−i3−3−i32i33−i320000003+i32−3+i32−i3−3−i32i33−i32-1-11+i321−i321−i32-11+i321+i321−i32-101+i321−i321−i32-11+i321+i321−i32-100000000
χ333−3−3i32−3+3i323−3+i32−i33+i32i33−i32−3−i32−3−3i32−3+3i3203−3−3i32−3+3i32−3+i32−i33+i32i33−i32−3−i32000000−3+i32−i33+i32i33−i32−3−i3211−1−i32−1+i32−1−i32−1+i321−1+i321−1−i320−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3200000000
χ343−3−3i32−3+3i323−3+i32−i33+i32i33−i32−3−i32−3−3i32−3+3i3203−3−3i32−3+3i32−3+i32−i33+i32i33−i32−3−i32000000−3+i32−i33+i32i33−i32−3−i32-1-11+i321−i321+i321−i32-11−i32-11+i3201+i321−i321+i321−i32-11−i32-11+i3200000000
χ353−3−3i32−3+3i323−i33+i32−3+i323−i32−3−i32i3−3−3i32−3+3i3203−3−3i32−3+3i32−i33+i32−3+i323−i32−3−i32i3000000−i33+i32−3+i323−i32−3−i32i311−1−i32−1+i321−1−i32−1+i321−1−i32−1+i320−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000
χ363−3−3i32−3+3i323−i33+i32−3+i323−i32−3−i32i3−3−3i32−3+3i3203−3−3i32−3+3i32−i33+i32−3+i323−i32−3−i32i3000000−i33+i32−3+i323−i32−3−i32i3-1-11+i321−i32-11+i321−i32-11+i321−i3201+i321−i32-11+i321−i32-11+i321−i3200000000
χ37666600000066-36660000000-300-3-3000000000000000000000000000000000
χ38666600000066-3-3-3-30000000-3006-3000000000000000000000000000000000
χ39666600000066-3-3-3-30000000-300-36000000000000000000000000000000000
χ40666-2666666-2-26000-2-2-2-2-2-2-3-2-3-300000000000000000010000000011000000
χ41666-2−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-2-260001−i31−i31−i31+i31+i31+i3-3-23−3i323+3i32000000000000000000100000000−1+i32−1−i32000000
χ42666-2−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-2-260001+i31+i31+i31−i31−i31−i3-3-23+3i323−3i32000000000000000000100000000−1−i32−1+i32000000
χ436−3+3i3−3−3i362i33−i3−3−i33+i3−3+i3−2i3−3+3i3−3−3i30-33−3i323+3i322i33−i3−3−i33+i3−3+i3−2i3000000−i3−3+i323+i32−3−i323−i32i3000000000000000000000000000
χ446−3+3i3−3−3i363−i3−3−i32i3−3+i3−2i33+i3−3+3i3−3−3i30-33−3i323+3i323−i3−3−i32i3−3+i3−2i33+i3000000−3+i323+i32−i33−i32i3−3−i32000000000000000000000000000
χ456−3+3i3−3−3i36−3−i32i33−i3−2i33+i3−3+i3−3+3i3−3−3i30-33−3i323+3i32−3−i32i33−i3−2i33+i3−3+i30000003+i32−i3−3+i32i3−3−i323−i32000000000000000000000000000
χ466−3−3i3−3+3i363+i3−3+i3−2i3−3−i32i33−i3−3−3i3−3+3i30-33+3i323−3i323+i3−3+i3−2i3−3−i32i33−i3000000−3−i323−i32i33+i32−i3−3+i32000000000000000000000000000
χ476−3−3i3−3+3i36−3+i3−2i33+i32i33−i3−3−i3−3−3i3−3+3i30-33+3i323−3i32−3+i3−2i33+i32i33−i3−3−i30000003−i32i3−3−i32−i3−3+i323+i32000000000000000000000000000
χ486−3−3i3−3+3i36−2i33+i3−3+i33−i3−3−i32i3−3−3i3−3+3i30-33+3i323−3i32−2i33+i3−3+i33−i3−3−i32i3000000i3−3−i323−i32−3+i323+i32−i3000000000000000000000000000
χ499−9+9i32−9−9i32-33i39−3i32−9−3i329+3i32−9+3i32−3i33−3i323+3i320000−i3−3+i323+i32−3−i323−i32i30000000000001-1−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3201−i321+i32-11−i321+i32-11−i321+i3200000000
χ509−9+9i32−9−9i32-33i39−3i32−9−3i329+3i32−9+3i32−3i33−3i323+3i320000−i3−3+i323+i32−3−i323−i32i3000000000000-111−i321+i32-11−i321+i32-11−i321+i320−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3200000000
χ519−9+9i32−9−9i32-39−3i32−9−3i323i3−9+3i32−3i39+3i323−3i323+3i320000−3+i323+i32−i33−i32i3−3−i320000000000001-1−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32101−i321+i321+i32-11−i321−i321+i32-100000000
χ529−9+9i32−9−9i32-39−3i32−9−3i323i3−9+3i32−3i39+3i323−3i323+3i320000−3+i323+i32−i33−i32i3−3−i32000000000000-111−i321+i321+i32-11−i321−i321+i32-10−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32100000000
χ539−9+9i32−9−9i32-3−9−3i323i39−3i32−3i39+3i32−9+3i323−3i323+3i3200003+i32−i3−3+i32i3−3−i323−i320000000000001-1−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3201−i321+i321−i321+i32-11+i32-11−i3200000000
χ549−9+9i32−9−9i32-3−9−3i323i39−3i32−3i39+3i32−9+3i323−3i323+3i3200003+i32−i3−3+i32i3−3−i323−i32000000000000-111−i321+i321−i321+i32-11+i32-11−i320−1+i32−1−i32−1+i32−1−i321−1−i321−1+i3200000000
χ559−9−9i32−9+9i32-39+3i32−9+3i32−3i3−9−3i323i39−3i323+3i323−3i320000−3−i323−i32i33+i32−i3−3+i320000000000001-1−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32101+i321−i321−i32-11+i321+i321−i32-100000000
χ569−9−9i32−9+9i32-39+3i32−9+3i32−3i3−9−3i323i39−3i323+3i323−3i320000−3−i323−i32i33+i32−i3−3+i32000000000000-111+i321−i321−i32-11+i321+i321−i32-10−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32100000000
χ579−9−9i32−9+9i32-3−9+3i32−3i39+3i323i39−3i32−9−3i323+3i323−3i3200003−i32i3−3−i32−i3−3+i323+i320000000000001-1−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3201+i321−i321+i321−i32-11−i32-11+i3200000000
χ589−9−9i32−9+9i32-3−9+3i32−3i39+3i323i39−3i32−9−3i323+3i323−3i3200003−i32i3−3−i32−i3−3+i323+i32000000000000-111+i321−i321+i321−i32-11−i32-11+i320−1−i32−1+i32−1−i32−1+i321−1+i321−1−i3200000000
χ599−9−9i32−9+9i32-3−3i39+3i32−9+3i329−3i32−9−3i323i33+3i323−3i320000i3−3−i323−i32−3+i323+i32−i30000000000001-1−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3201+i321−i32-11+i321−i32-11+i321−i3200000000
χ609−9−9i32−9+9i32-3−3i39+3i32−9+3i329−3i32−9−3i323i33+3i323−3i320000i3−3−i323−i32−3+i323+i32−i3000000000000-111+i321−i32-11+i321−i32-11+i321−i320−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3200000000
χ61181818-6000000-6-6-9000000000030000000000000000000000000000000000000

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