Finite Group Databasebeta

← Group #14517728

Character table — Group #14517728

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ4111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111
χ5222222222222222222222222222222222222222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
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χ10166−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i3-63−3i33+3i3-63−3i33+3i3-63−3i33+3i3000000-33−3i323+3i32000000000-33−3i323+3i320000000000000003−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000
χ10266−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i366−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-33−3i323+3i32000000000-33−3i323+3i32000000000-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000000000000000000000000000000000000000000
χ10366−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i36-63−3i33+3i33+3i3-63−3i33−3i33+3i3-6-33−3i323+3i32000000000-33−3i323+3i320000000003−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000
χ10466−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i36−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3000-33−3i323+3i32000000000-33−3i323+3i32000000000000-33−3i323+3i32-33−3i323+3i32000000000000000000000000000000000000000000000000000000000000000000
χ10566−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3-63−3i33+3i33−3i33+3i3-63+3i3-63−3i3000-33−3i323+3i32000000000-33−3i323+3i320000000000003−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000000000
χ1066-666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-6-63+3i33+3i33+3i33−3i33−3i33−3i30000000000000000006−3−3i3−3+3i3000000000-63+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1076-666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-6-63+3i33+3i33+3i33−3i33−3i33−3i3000000000000000000-33+3i323−3i320000000003−3−3i32−3+3i32000000000000000000336ζ7+3ζ11−3ζ7−6ζ11−33−6ζ7−3ζ113ζ7+6ζ11000000000000000000000000000000000000000000000000000000
χ1086-666−3−3i3−3−3i3−3−3i3−3+3i3−3+3i3−3+3i3-6-63+3i33+3i33+3i33−3i33−3i33−3i3000000000000000000-33+3i323−3i320000000003−3−3i32−3+3i32000000000000000000−33−6ζ7−3ζ113ζ7+6ζ11336ζ7+3ζ11−3ζ7−6ζ11000000000000000000000000000000000000000000000000000000
χ1096-666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-6-63−3i33−3i33−3i33+3i33+3i33+3i30000000000000000006−3+3i3−3−3i3000000000-63−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1106-666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-6-63−3i33−3i33−3i33+3i33+3i33+3i3000000000000000000-33−3i323+3i320000000003−3+3i32−3−3i3200000000000000000033−3ζ7−6ζ116ζ7+3ζ11−333ζ7+6ζ11−6ζ7−3ζ11000000000000000000000000000000000000000000000000000000
χ1116-666−3+3i3−3+3i3−3+3i3−3−3i3−3−3i3−3−3i3-6-63−3i33−3i33−3i33+3i33+3i33+3i3000000000000000000-33−3i323+3i320000000003−3+3i32−3−3i32000000000000000000−333ζ7+6ζ11−6ζ7−3ζ1133−3ζ7−6ζ116ζ7+3ζ11000000000000000000000000000000000000000000000000000000
χ1126-6−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i33+3i33−3i3-63+3i33−3i3-63+3i33−3i30000000000000006−3−3i3−3+3i3000000000-63+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1136-6−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i33+3i33−3i3-63+3i33−3i3-63+3i33−3i3000000000000000-33+3i323−3i320000000003−3−3i32−3+3i32000000000000000336ζ7+3ζ11−3ζ7−6ζ11−33−6ζ7−3ζ113ζ7+6ζ11000000000000000000000000000000000000000000000000000000000000
χ1146-6−3−3i3−3+3i36−3−3i3−3+3i36−3−3i3−3+3i33+3i33−3i3-63+3i33−3i3-63+3i33−3i3000000000000000-33+3i323−3i320000000003−3−3i32−3+3i32000000000000000−33−6ζ7−3ζ113ζ7+6ζ11336ζ7+3ζ11−3ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000
χ1156-6−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i33+3i33−3i33+3i33−3i3-63−3i3-63+3i30000000000006−3−3i3−3+3i3000000000-63+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1166-6−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i33+3i33−3i33+3i33−3i3-63−3i3-63+3i3000000000000-33+3i323−3i320000000003−3−3i32−3+3i32000000000000336ζ7+3ζ11−3ζ7−6ζ11−33−6ζ7−3ζ113ζ7+6ζ11000000000000000000000000000000000000000000000000000000000000000000
χ1176-6−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i33+3i33−3i33+3i33−3i3-63−3i3-63+3i3000000000000-33+3i323−3i320000000003−3−3i32−3+3i32000000000000−33−6ζ7−3ζ113ζ7+6ζ11336ζ7+3ζ11−3ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000
χ1186-6−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i363+3i33−3i33−3i3-63+3i33+3i33−3i3-60000000006−3−3i3−3+3i3000000000-63+3i33−3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1196-6−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i363+3i33−3i33−3i3-63+3i33+3i33−3i3-6000000000-33+3i323−3i320000000003−3−3i32−3+3i32000000000336ζ7+3ζ11−3ζ7−6ζ11−33−6ζ7−3ζ113ζ7+6ζ11000000000000000000000000000000000000000000000000000000000000000000000000
χ1206-6−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i363+3i33−3i33−3i3-63+3i33+3i33−3i3-6000000000-33+3i323−3i320000000003−3−3i32−3+3i32000000000−33−6ζ7−3ζ113ζ7+6ζ11336ζ7+3ζ11−3ζ7−6ζ11000000000000000000000000000000000000000000000000000000000000000000000000
χ1216-6−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i33−3i33+3i3-63−3i33+3i3-63−3i33+3i30000000000000006−3+3i3−3−3i3000000000-63−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1226-6−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i33−3i33+3i3-63−3i33+3i3-63−3i33+3i3000000000000000-33−3i323+3i320000000003−3+3i32−3−3i3200000000000000033−3ζ7−6ζ116ζ7+3ζ11−333ζ7+6ζ11−6ζ7−3ζ11000000000000000000000000000000000000000000000000000000000000
χ1236-6−3+3i3−3−3i36−3+3i3−3−3i36−3+3i3−3−3i33−3i33+3i3-63−3i33+3i3-63−3i33+3i3000000000000000-33−3i323+3i320000000003−3+3i32−3−3i32000000000000000−333ζ7+6ζ11−6ζ7−3ζ1133−3ζ7−6ζ116ζ7+3ζ11000000000000000000000000000000000000000000000000000000000000
χ1246-6−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i363−3i33+3i33+3i3-63−3i33−3i33+3i3-60000000006−3+3i3−3−3i3000000000-63−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1256-6−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i363−3i33+3i33+3i3-63−3i33−3i33+3i3-6000000000-33−3i323+3i320000000003−3+3i32−3−3i3200000000033−3ζ7−6ζ116ζ7+3ζ11−333ζ7+6ζ11−6ζ7−3ζ11000000000000000000000000000000000000000000000000000000000000000000000000
χ1266-6−3+3i3−3−3i3−3−3i36−3+3i3−3+3i3−3−3i363−3i33+3i33+3i3-63−3i33−3i33+3i3-6000000000-33−3i323+3i320000000003−3+3i32−3−3i32000000000−333ζ7+6ζ11−6ζ7−3ζ1133−3ζ7−6ζ116ζ7+3ζ11000000000000000000000000000000000000000000000000000000000000000000000000
χ1276-6−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i33−3i33+3i33−3i33+3i3-63+3i3-63−3i30000000000006−3+3i3−3−3i3000000000-63−3i33+3i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1286-6−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i33−3i33+3i33−3i33+3i3-63+3i3-63−3i3000000000000-33−3i323+3i320000000003−3+3i32−3−3i3200000000000033−3ζ7−6ζ116ζ7+3ζ11−333ζ7+6ζ11−6ζ7−3ζ11000000000000000000000000000000000000000000000000000000000000000000
χ1296-6−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i33−3i33+3i33−3i33+3i3-63+3i3-63−3i3000000000000-33−3i323+3i320000000003−3+3i32−3−3i32000000000000−333ζ7+6ζ11−6ζ7−3ζ1133−3ζ7−6ζ116ζ7+3ζ11000000000000000000000000000000000000000000000000000000000000000000

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