Finite Group Databasebeta

← Group #11808241

Character table — Group #11808241

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order1222222233666666666666664444444434444446666666121212121212121212121212121212121212121212121212121212121212121212121212121222222244444444666666666666121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1111111-1-111-1-111-1-111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-111-1-111-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-11111
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-11111-1-1-1-1
χ17222222222-1222-1-1-1-1-1-12222-122222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222200000000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-1222-1-1-1-1-1-12222-122222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111122-2-2-2-200000000-1-1-1-1111111110000000000000000
χ19222222222-1222-1-1-1-1-1-12222-122222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-11111-2-222-2-2000000001111-1-1-1-111110000000000000000
χ20222222222-1222-1-1-1-1-1-12222-122222222-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-2-2-2220000000011111111-1-1-1-10000000000000000
χ21222222222-1222-1-1-1-1-1-12222-1-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000001111111111110000000000000000
χ22222222222-1222-1-1-1-1-1-12222-1-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-111111111-2-22222000000001111-1-1-1-1-1-1-1-10000000000000000
χ23222222222-1222-1-1-1-1-1-12222-1-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-21111-1-1-1-1111122-2-22200000000-1-1-1-11111-1-1-1-10000000000000000
χ24222222222-1222-1-1-1-1-1-12222-1-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-22211111111-1-1-1-12222-2-200000000-1-1-1-1-1-1-1-111110000000000000000
χ2522222222-12-1-1-1222222-1-1-1-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022222222000000000000-1-1-1-1-1-1-1-100000000
χ2622222222-12-1-1-1222222-1-1-1-1200000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2-2-2-2-20000000000001111111100000000
χ2722222222-12-1-1-1222222-1-1-1-1200000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-1111111110000002222-2-2-2-2000000000000-1-1-1-1111100000000
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χ4122-2-2-2-22222-2-222-2-2-2-222-2-22222-2-2-2-22222-200002-2-2-2-22222-2-20000000022-2-2-2-2222-2000022-2-2000000002-200000000000022-2-2000000000000000000000000
χ4222-2-2-2-22222-2-222-2-2-2-222-2-22222-2-2-2-2222-2200002-2-2-2-222-2-2220000000022-2-2-2-222-220000-2-22200000000-22000000000000-2-222000000000000000000000000
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χ5122-2-2-2-2222-1-2-22-11111-12-2-22-1-2-22222-2-2-1-220000-11111-1-111-1-1−i3−i3i3i3i3i3−i3−i311-1-1-1-111-22000011-1-1−i3−i3i3i3i3i3−i3−i32-2000000000000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
χ5222-2-2-2-2222-1-2-22-11111-12-2-22-1-2-22222-2-2-1-220000-11111-1-111-1-1i3i3−i3−i3−i3−i3i3i311-1-1-1-111-22000011-1-1i3i3−i3−i3−i3−i3i3i32-2000000000000-1-111−i3−i3i3i3i3i3−i3−i30000000000000000
χ532-22-22-22-2222-22-22-22-22-22-2-2-22i−2i2i−2i2i−2i2i−2i2000000-22-22-22-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000002-20000000000000000002-2000000002i−2i00
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χ662-22-2-22-222-1-22-21-111-11-22-22-1-22-222-22-2-1002-2001-111-11-1i3−i3i3−i3-11-11i3−i3i3−i31-11-1-11-11002-200i3−i3i3−i3-11-11i3−i3i3−i300-220000000000−i3i3−i3i31-11-1−i3i3−i3i30000000000000000
χ672-22-2-22-222-1-22-21-111-11-22-22-1-22-222-22-2-100-22001-111-11-1−i3i3−i3i31-11-1i3−i3i3−i31-11-1-11-1100-2200−i3i3−i3i31-11-1i3−i3i3−i3002-20000000000i3−i3i3−i3-11-11−i3i3−i3i30000000000000000
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χ8644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000144-4-4-4-41111111-2-2-2-22222222200000000-2-222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
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χ10144-4-4-4-444-2-222-2-22222-2-222-2-2000000001-4400001-1-1-1-11122-2-2−2i3−2i32i32i32i32i3−2i3−2i3000000002-20000-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).