Finite Group Databasebeta

← Group #14517694

Character table — Group #14517694

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size1122222222222222222666666666666666666666666666666666666666666666666999918181818181818181818181818181818181818181818181818181818181818181818162162162162162162
order12233336666666666663333333333336666666666666666666666666666666666663366336666666699999918181818181818181818181818181818181824661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1+i32−1−i32
χ41111111111111111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-11−i321+i321−i321+i32
χ51111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32
χ61111111111111111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-11+i321−i321+i321−i32
χ711-11111111-1-1-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-1
χ811-11111111-1-1-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-111
χ911-11111111-1-1-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321-1−1+i32−1−i321−i321+i32
χ1011-11111111-1-1-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32-111−i321+i32−1+i32−1−i32
χ1111-11111111-1-1-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321-1−1−i32−1+i321+i321−i32
χ1211-11111111-1-1-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32-111+i321−i32−1−i32−1+i32
χ132222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000
χ142222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000
χ152222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000
χ16222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-1-1-1-12-1-12-1-12-1-122-1-1-1-12-1-122-1-1-1-1000000
χ17222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i32−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000
χ18222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i32−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i32−1−i3−1−i31+i321+i321+i321+i32−1+i31−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000
χ19222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1222-1-1-12-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-122-1-1-1-1-1-1-12-1-12-1-12-1-1-122-1-1-12-1-1-122-1-1000000
χ20222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1222-1-1-12-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i321−i32−1+i31−i321+i32−1−i31+i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i32000000
χ21222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1222-1-1-12-1-1-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i321+i32−1−i31+i321−i32−1+i31−i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i32000000
χ22222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-122-1-1-1-1-1-1-1-12-1-12-1-12-1-1-1-122-1-12-1-1-1-122000000
χ23222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222−1+i3−1−i3−1+i3−1−i31−i321+i32−1+i3−1−i31−i321−i321−i321+i321+i321+i321−i321−i32−1+i31+i321+i32−1−i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3000000
χ24222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222−1−i3−1+i3−1−i3−1+i31+i321−i32−1−i3−1+i31+i321+i321+i321−i321−i321−i321+i321+i32−1−i31−i321−i32−1+i31+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3000000
χ2522-22222222-2-2-2-2-2-22-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111222222-2-22-2-22-2-2-1-1-1-1-1-1-1-1-1111111-1-1-1111111000000
χ2622-22222222-2-2-2-2-2-22-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31−i31+i3−1+i31−i31−i3−1−i31+i31+i31−i321−i321−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000
χ2722-22222222-2-2-2-2-2-22-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111111−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31+i31−i3−1−i31+i31+i3−1+i31−i31−i31+i321+i321+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000
χ2822-2-1-1-12-1-1-11111112-2-22-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-2-21111-2-2-2-2-2-21111111111112222-1-1-2-2-111-1112-1-12-1-12-1-1-2-211112-1-1-2-21111000000
χ2922-2-1-1-12-1-1-11111112-2-22-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-2-21111-2-2-2-2-2-2111111111111−1+i3−1−i3−1+i3−1−i31−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i32−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000
χ3022-2-1-1-12-1-1-11111112-2-22-1-1222-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-2-21111-2-2-2-2-2-2111111111111−1−i3−1+i3−1−i3−1+i31+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i32−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1+i31−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000
χ3122-2-1-1-12-1-1-11111112-2-22-1-1-1-1-1222-1-1-12-1-1-1-1-1222-1-1-1-2-21111111111-2-2-2-2-2-21111112222-1-1-2-2-111-111-12-1-12-1-12-111-2-211-12-111-2-211000000
χ3222-2-1-1-12-1-1-11111112-2-22-1-1-1-1-1222-1-1-12-1-1-1-1-1222-1-1-1-2-21111111111-2-2-2-2-2-2111111−1+i3−1−i3−1+i3−1−i31−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i321−i32−1+i31−i321+i32−1−i31+i321−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i321+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i32000000
χ3322-2-1-1-12-1-1-11111112-2-22-1-1-1-1-1222-1-1-12-1-1-1-1-1222-1-1-1-2-21111111111-2-2-2-2-2-2111111−1−i3−1+i3−1−i3−1+i31+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i321+i32−1−i31+i321−i32−1+i31−i321+i32−1−i31+i32−1−i32−1−i321+i31+i3−1−i32−1−i321−i32−1+i31−i32−1+i32−1+i321−i31−i3−1+i32−1+i32000000
χ3422-2-1-1-12-1-1-11111112-2-22-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-2-21111111111111111-2-2-2-2-2-22222-1-1-2-2-111-111-1-12-1-12-1-121111-2-2-1-121111-2-2000000
χ3522-2-1-1-12-1-1-11111112-2-22-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-2-21111111111111111-2-2-2-2-2-2−1+i3−1−i3−1+i3−1−i31−i321+i321−i31+i31−i32−1+i32−1+i321+i32−1−i32−1−i321−i321−i32−1+i31+i321+i32−1−i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i3000000
χ3622-2-1-1-12-1-1-11111112-2-22-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-2-21111111111111111-2-2-2-2-2-2−1−i3−1+i3−1−i3−1+i31+i321−i321+i31−i31+i32−1−i32−1−i321−i32−1+i32−1+i321+i321+i32−1−i31−i321−i32−1+i31+i321+i32−1−i3−1−i32−1−i32−1−i32−1−i321+i31+i31−i321−i32−1+i3−1+i32−1+i32−1+i32−1+i321−i31−i3000000
χ372-202222-2-2-2000000-200222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-22200-200-200222222-2-2-2000000-2-2-2000000000000
χ382-202222-2-2-2000000-200222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000−1+i3−1−i31−i31+i3−1+i3−1−i3001−i3001+i300−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i31−i31−i30000001+i31+i31+i3000000000000
χ392-202222-2-2-2000000-200222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000−1−i3−1+i31+i31−i3−1−i3−1+i3001+i3001−i300−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i30000001−i31−i31−i3000000000000
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χ1096-60-3-3-363333i33i33i3−3i3−3i3−3i3-600-3-3600000000033-60000000003i3−3i3−3i303i3000000000000000000000000000000000000000000000000000000000000000
χ1106-60-3-3-36333−3i3−3i3−3i33i33i33i3-600-36-30000000003-630000000003i3−3i303i30−3i300000000000000000000000000000000000000000000000000000000000000
χ1116-60-3-3-36333−3i3−3i3−3i33i33i33i3-600-3-3600000000033-6000000000−3i33i33i30−3i3000000000000000000000000000000000000000000000000000000000000000

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