Finite Group Databasebeta

← Group #14517713

Character table — Group #14517713

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1122333333333333333318181818181818181818181818181818181818181818181827272727272727272727272727272727272711223333333333333333181818181818181818181818181818181818181818181818272727272727272727272727272727272727
order123633333333666666663336669999999991818181818181818184412121212121212121212121212121212226666666666666666666666661818181818181818181818181818181818184412121212121212121212121212121212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+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−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ5111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−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+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ6111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ71-11-111111111-1-1-1-1-1-1-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1-1i−iii−i−iiii−i−i−iiii−i−i−i1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1-1i−iii−i−iiii−i−i−iiii−i−i−i
χ81-11-111111111-1-1-1-1-1-1-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1-1−ii−i−iii−i−i−iiii−i−i−iiii1-11-111111111-1-1-1-1-1-1-1-1111-1-1-1111111111-1-1-1-1-1-1-1-1-1−ii−i−iii−i−i−iiii−i−i−iiii
χ91-11-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i32-11+i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32i−iii−i−iζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ71-11-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i32-11+i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32i−iii−i−iζ11ζ11ζ11−ζ11−ζ11−ζ11ζ7ζ7ζ7−ζ7−ζ7−ζ7
χ101-11-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i32-11+i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32−ii−i−iii−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ71-11-111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i32-11+i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32−ii−i−iii−ζ11−ζ11−ζ11ζ11ζ11ζ11−ζ7−ζ7−ζ7ζ7ζ7ζ7
χ111-11-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i32-11−i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32i−iii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ111-11-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i32-11−i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32i−iii−i−iζ7ζ7ζ7−ζ7−ζ7−ζ7ζ11ζ11ζ11−ζ11−ζ11−ζ11
χ121-11-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i32-11−i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32−ii−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ111-11-111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i32-11−i321+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32−ii−i−iii−ζ7−ζ7−ζ7ζ7ζ7ζ7−ζ11−ζ11−ζ11ζ11ζ11ζ11
χ1322222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ1422222222222222222222-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-100000000000000000022222222222222222222-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000000000000
χ1522222222222222222222-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-100000000000000000022222222222222222222-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1000000000000000000
χ1622222222222222222222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-1200000000000000000022222222222222222222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12000000000000000000
χ17222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000
χ18222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000000000000
χ19222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000000000000
χ20222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i3000000000000000000222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i322−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-11+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i3000000000000000000
χ21222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000
χ22222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000000000000
χ23222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000000000000
χ24222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3000000000000000000222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i322−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-11−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3000000000000000000
χ252-22-222222222-2-2-2-2-2-2-2-2222-2-2-2-1-1-1-1-1-1-1-1-11111111110000000000000000002-22-222222222-2-2-2-2-2-2-2-2222-2-2-2-1-1-1-1-1-1-1-1-1111111111000000000000000000
χ262-22-222222222-2-2-2-2-2-2-2-2-1-1-11112-1-12-1-12-1-1-211-211-2110000000000000000002-22-222222222-2-2-2-2-2-2-2-2-1-1-11112-1-12-1-12-1-1-211-211-211000000000000000000
χ272-22-222222222-2-2-2-2-2-2-2-2-1-1-1111-12-1-12-1-12-11-211-211-210000000000000000002-22-222222222-2-2-2-2-2-2-2-2-1-1-1111-12-1-12-1-12-11-211-211-21000000000000000000
χ282-22-222222222-2-2-2-2-2-2-2-2-1-1-1111-1-12-1-12-1-1211-211-211-20000000000000000002-22-222222222-2-2-2-2-2-2-2-2-1-1-1111-1-12-1-12-1-1211-211-211-2000000000000000000
χ292-22-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i32−1−i3−1+i3-21+i31−i3-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i320000000000000000002-22-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i32−1−i3−1+i3-21+i31−i3-1-1-11+i321+i321+i321−i321−i321−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000
χ302-22-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-11+i321−i321−1−i32−1+i322-1-1−1−i31+i321+i32−1+i31−i321−i32-2111+i3−1−i32−1−i321−i3−1+i32−1+i320000000000000000002-22-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-11+i321−i321−1−i32−1+i322-1-1−1−i31+i321+i32−1+i31−i321−i32-2111+i3−1−i32−1−i321−i3−1+i32−1+i32000000000000000000
χ312-22-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-11+i321−i321−1−i32−1+i32-12-11+i32−1−i31+i321−i32−1+i31−i321-21−1−i321+i3−1−i32−1+i321−i3−1+i320000000000000000002-22-222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31+i31−i31−i31−i3-11+i321−i321−1−i32−1+i32-12-11+i32−1−i31+i321−i32−1+i31−i321-21−1−i321+i3−1−i32−1+i321−i3−1+i32000000000000000000
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χ1231818-9-90000000000000000000000000000000000000000000000000000000000-18-18990000000000000000000000000000000000000000000000000000000000
χ12418-18-990000000000000000000000000000000000000000000000000000000000-18189-90000000000000000000000000000000000000000000000000000000000

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