Finite Group Databasebeta

← Group #14518677

Character table — Group #14518677

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11222222223333666666666666666666666627272727272722444444446666121212121212121212121212121212121212121212125454545454543366666666999918181818181818181818181818181818181818181818818181818181
order12333366663366333333333336666666666644121212123633336666336633333333333666666666661212121212122266666666666666666666666666666666664412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−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+i321111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−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+i321111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−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
χ41111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−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+i32-1-11+i321+i321−i321−i321111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−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+i32-1-11+i321+i321−i321−i321111111111−1−i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−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+i32-1-11+i321+i321−i321−i32
χ51111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+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−i321111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+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−i321111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+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
χ61111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+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−i32-1-11−i321−i321+i321+i321111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+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−i32-1-11−i321−i321+i321+i321111111111−1+i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+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−i32-1-11−i321−i321+i321+i32
χ71-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−i1-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−i1-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1i−ii−ii−i
χ81-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii1-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii1-11111-1-1-1-111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−ii−ii
χ91-11111-1-1-1-1−1−i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32i−iζ11−ζ11ζ7−ζ71-11111-1-1-1-1−1−i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32i−iζ11−ζ11ζ7−ζ71-11111-1-1-1-1−1−i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32i−iζ11−ζ11ζ7−ζ7
χ101-11111-1-1-1-1−1−i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−ii−ζ11ζ11−ζ7ζ71-11111-1-1-1-1−1−i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−ii−ζ11ζ11−ζ7ζ71-11111-1-1-1-1−1−i32−1+i321+i321−i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−ii−ζ11ζ11−ζ7ζ7
χ111-11111-1-1-1-1−1+i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32i−iζ7−ζ7ζ11−ζ111-11111-1-1-1-1−1+i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32i−iζ7−ζ7ζ11−ζ111-11111-1-1-1-1−1+i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32i−iζ7−ζ7ζ11−ζ11
χ121-11111-1-1-1-1−1+i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−ii−ζ7ζ7−ζ11ζ111-11111-1-1-1-1−1+i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−ii−ζ7ζ7−ζ11ζ111-11111-1-1-1-1−1+i32−1−i321−i321+i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−ii−ζ7ζ7−ζ11ζ11
χ1322222222222222-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-100000022222222222222-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-100000022222222222222-1-1-12-1-1-12-1-1-1-1-1-12-1-1-12-1-1-1000000
χ142222222222−1−i3−1+i3−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i320000002222222222−1−i3−1+i3−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i320000002222222222−1−i3−1+i3−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32000000
χ152222222222−1+i3−1−i3−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i320000002222222222−1+i3−1−i3−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i320000002222222222−1+i3−1−i3−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32000000
χ16222-1-1-12-1-1-122222-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-1000000222-1-1-12-1-1-122222-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-1000000222-1-1-12-1-1-122222-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1-1000000
χ17222-1-1-12-1-1-12222-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1000000222-1-1-12-1-1-12222-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1000000222-1-1-12-1-1-12222-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12-1000000
χ18222-1-1-12-1-1-12222-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12000000222-1-1-12-1-1-12222-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12000000222-1-1-12-1-1-12222-1-12-1-1-12-1-1-12-1-12-1-1-12-1-1-12000000
χ19222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32000000222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32000000222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i322-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32000000
χ20222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32000000222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32000000222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i3-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32-12-11+i321+i32−1−i31+i321−i321−i32−1+i31−i32000000
χ21222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3000000222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3000000222-1-1-12-1-1-1−1−i3−1+i3−1−i3−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3-1-121+i321+i321+i32−1−i31−i321−i321−i32−1+i3000000
χ22222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32000000222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32000000222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i32-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i322-1-11−i32−1+i31−i321−i321+i32−1−i31+i321+i32000000
χ23222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32000000222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32000000222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i3-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32-12-11−i321−i32−1+i31−i321+i321+i32−1−i31+i32000000
χ24222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3000000222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3000000222-1-1-12-1-1-1−1+i3−1−i3−1+i3−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3-1-121−i321−i321−i32−1+i31+i321+i321+i32−1−i3000000
χ252-22222-2-2-2-222-2-2-1-1-12-1-1-12-1-1-1111-2111-21110000002-22222-2-2-2-222-2-2-1-1-12-1-1-12-1-1-1111-2111-21110000002-22222-2-2-2-222-2-2-1-1-12-1-1-12-1-1-1111-2111-2111000000
χ262-22222-2-2-2-2−1−i3−1+i31+i31−i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i320000002-22222-2-2-2-2−1−i3−1+i31+i31−i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i320000002-22222-2-2-2-2−1−i3−1+i31+i31−i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i321111+i3−1−i32−1−i32−1−i321−i3−1+i32−1+i32−1+i32000000
χ272-22222-2-2-2-2−1+i3−1−i31−i31+i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i320000002-22222-2-2-2-2−1+i3−1−i31−i31+i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i320000002-22222-2-2-2-2−1+i3−1−i31−i31+i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i321111−i3−1+i32−1+i32−1+i321+i3−1−i32−1−i32−1−i32000000
χ282-22-1-1-1-211122-2-22-1-1-12-1-1-12-1-1-2111-2111-2110000002-22-1-1-1-211122-2-22-1-1-12-1-1-12-1-1-2111-2111-2110000002-22-1-1-1-211122-2-22-1-1-12-1-1-12-1-1-2111-2111-211000000
χ292-22-1-1-1-211122-2-2-12-1-1-12-1-1-12-11-2111-2111-210000002-22-1-1-1-211122-2-2-12-1-1-12-1-1-12-11-2111-2111-210000002-22-1-1-1-211122-2-2-12-1-1-12-1-1-12-11-2111-2111-21000000
χ302-22-1-1-1-211122-2-2-1-12-1-1-12-1-1-1211-2111-2111-20000002-22-1-1-1-211122-2-2-1-12-1-1-12-1-1-1211-2111-2111-20000002-22-1-1-1-211122-2-2-1-12-1-1-12-1-1-1211-2111-2111-2000000
χ312-22-1-1-1-2111−1−i3−1+i31+i31−i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i320000002-22-1-1-1-2111−1−i3−1+i31+i31−i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i320000002-22-1-1-1-2111−1−i3−1+i31+i31−i32-1-11+i32−1−i31+i321+i321−i32−1+i31−i321−i32-211−1−i321+i3−1−i32−1−i32−1+i321−i3−1+i32−1+i32000000
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χ1211212-612-6-6-612-6-600000000000000000000000000000000-6-63-6333-63300000000000000000000000000000000000000000000000000000000000000000000000000
χ1221212-6-612-6-6-612-600000000000000000000000000000000-6-633-6333-6300000000000000000000000000000000000000000000000000000000000000000000000000
χ1231212-6-6-612-6-6-61200000000000000000000000000000000-6-6333-6333-600000000000000000000000000000000000000000000000000000000000000000000000000
χ12412-12-612-6-66-126600000000000000000000000000000000-663-633-36-3-300000000000000000000000000000000000000000000000000000000000000000000000000
χ12512-12-6-612-666-12600000000000000000000000000000000-6633-63-3-36-300000000000000000000000000000000000000000000000000000000000000000000000000
χ12612-12-6-6-612666-1200000000000000000000000000000000-66333-6-3-3-3600000000000000000000000000000000000000000000000000000000000000000000000000

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