Finite Group Databasebeta

← Group #11792433

Character table — Group #11792433

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444444444444888888888888888888888888888888888888363636363636363672727272
order122222223333444466666666666666666666666666664444121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222266666666666666666666666666666666888888882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ9222222222222-2-2-2-2222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ10222222222222-2-2-2-22222222222222222222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222000000000000000000000000000000000000000000000000
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χ17222222222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000000000000
χ18222222222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000000000000
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χ2022222222-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-21111-2-21111-2-211111111-2-21111-2-21111000000000000
χ2122222222-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-2-1-1-1-122-1-1-1-122-1-1-1-11111-2-21111-2-21111000000000000
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χ2322222222-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-2-21111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3000000000000
χ2422222222-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-2-21111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3000000000000
χ2522222222-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-2221111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3000000000000
χ2622222222-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-2221111-2-2-2-2111111111111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000i3i3−i3−i300i3i3−i3−i300i3i3−i3−i3−i3−i3i3i300−i3−i3i3i300−i3−i3i3i3000000000000
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χ2822222222-1-12-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-2111111-2-2000000000000
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χ3122222222-1-12-1-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-122-2-211111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211110000−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300000000000000
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χ3322222222-1-12-1-2-2-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1222-1-1-1-2-22211111111-2-2-2-2111111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-10000−i3−i3i3i3i3i300−i3−i3−i3−i3i3i300i3i3−i3−i3−i3−i300i3i3i3i3−i3−i300000000000000
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χ44222-22-2-2-2222222-2-222-2-222-2-222-2-222-2-22-2-22-2-22-2-22-2-2000022-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i
χ45222-22-2-2-22222-2-22222-2-222-2-222-2-222-2-22-2-22-2-22-2-22-2-20000-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000000000002-200
χ46222-22-2-2-22222-2-22222-2-222-2-222-2-222-2-22-2-22-2-22-2-22-2-20000-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000-2200
χ4722-2-2-22-22222200002-22-22-22-22-22-22-22-2-22-2-22-2-22-2-22-2002-20000000000000000000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000000022−2−222−2−20000
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χ4922-2-2-22-22222200002-22-22-22-22-22-22-22-2-22-2-22-2-22-2-22-200-2200000000000000000000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000000022−2−2−2−2220000
χ5022-2-2-22-22222200002-22-22-22-22-22-22-22-2-22-2-22-2-22-2-22-200-2200000000000000000000000000000000-2-222-2-222-2-222-2-222000000000000000000000000000000000000−2−22222−2−20000
χ512-22-2-2-22222220000-222-2-222-2-222-2-222-2-2-22-2-22-2-22-2-222-200000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000002−22−22−22−20000
χ522-22-2-2-22222220000-222-2-222-2-222-2-222-2-2-22-2-22-2-22-2-222-200000000000000000022-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000−22−22−22−220000
χ532-22-2-2-22222220000-222-2-222-2-222-2-222-2-2-22-2-22-2-22-2-22-22000000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000002−22−2−22−220000
χ542-22-2-2-22222220000-222-2-222-2-222-2-222-2-2-22-2-22-2-22-2-22-22000000000000000000-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000−22−222−22−20000
χ552-2-222-2-2222222-22-2-2-222-2-222-2-222-2-2222-2-22-2-22-2-22-2-200002-22-22-22-22-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000002-2-220000
χ562-2-222-2-2222222-22-2-2-222-2-222-2-222-2-2222-2-22-2-22-2-22-2-200002-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000000000000000000000000000-222-20000
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Here i is the imaginary unit (i² = −1).