Finite Group Databasebeta

← Group #11897605

Character table — Group #11897605

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size111122222222222222222244444444444444444444448888888888888888888888888888888888888888161616161616161618183636363636363672727272
order1222333344666666666666224488121212121212121212121212121212124446666666681212121212121212121212122424242424242424242424242424242412121212121212124444444884448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111111111111111111-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-1
χ411111111111111111111111111-1-111111111111111111-1-111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111
χ5111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1111-1-1-1
χ6111111111111111111111111-1-1111111-1-1-1-1-1-1-1-11111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1111
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-11-1-1-11-111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1111-1111-11-1-1
χ91111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111111-1-1-11
χ101111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1
χ111111111111111111111111-1-111-1-11111111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1
χ121111111111111111111111-1-111-1-11111111111111111-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-11
χ131111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-111-111-1
χ141111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-11-1-11-1-11
χ151111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-11-1-1-1-11-11
χ161111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11111-11-1
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χ352222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-222-12-1-111-2-21111-12-1-12-2211-2-21111-21-211-1-122-1-1-1-1-1-122-1-1-1-111-2-211111-211-12-1-10000000000000
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χ382222-1-12-122-1-1-1-122-1-1-1-12-12222-2-2-1-12-1-1-1-1-122-1-1-1-12-12-2-2-1-1-1-122-1-1-2-1-12-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-210000000000000
χ392222-1-12-122-1-1-1-122-1-1-1-12-122-2-222-1-12-11111-2-211-1-12-1-22-2-1-1-1-122-1-1-211-211111-2-211-1-1-1-122-1-11111-2-211-1-12-111-210000000000000
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χ412222-1-12-122-1-1-1-122-1-1-1-12-1-2-22222-1-12-1-1-1-1-122-1-1-1-12-1-2-2-21111-2-2112-1-12-11111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-210000000000000
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χ432222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-222-1-12-11111-2-211-1-12-12-221111-2-211-211-21-1-1-1-122-1-1-1-1-1-122-1-11111-2-21111-21-1-12-10000000000000
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χ944-4-44-2-24-2002222-4-422-2-24-2000022−220000−2i32i32i3−2i300−2i32i30000000000000000000000000000−22−2222−22−22i6−i6−i6i600i6−i6000000000000000000000
χ954-4-44-2-24-2002222-4-422-2-24-2000022−2200002i3−2i3−2i32i3002i3−2i30000000000000000000000000000−22−2222−22−22−i6i6i6−i600−i6i6000000000000000000000
χ964-4-44-2-24-2002222-4-422-2-24-20000−22220000−2i32i32i3−2i300−2i32i300000000000000000000000000002−22−2−22222−2−i6i6i6−i600−i6i6000000000000000000000
χ974-4-44-2-24-2002222-4-422-2-24-20000−222200002i3−2i3−2i32i3002i3−2i300000000000000000000000000002−22−2−22222−2i6−i6−i6i600i6−i6000000000000000000000
χ984-4-44-2-2-2400222222-4-4-2-2-24000022−220000−2i32i3−2i32i32i3−2i3000000000000000000000000000000−22−22−2222−22i6−i6i6−i6−i6i600000000000000000000000
χ994-4-44-2-2-2400222222-4-4-2-2-24000022−2200002i3−2i32i3−2i3−2i32i3000000000000000000000000000000−22−22−2222−22−i6i6−i6i6i6−i600000000000000000000000
χ1004-4-44-2-2-2400222222-4-4-2-2-240000−22220000−2i32i3−2i32i32i3−2i30000000000000000000000000000002−22−22−2−2222−i6i6−i6i6i6−i600000000000000000000000
χ1014-4-44-2-2-2400222222-4-4-2-2-240000−222200002i3−2i32i3−2i3−2i32i30000000000000000000000000000002−22−22−2−2222i6−i6i6−i6−i6i600000000000000000000000
χ1028-88-88-4-4-400-884-44-44-4-844400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-48-4-4004-4-884-44-44-84400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-4-48-4004-44-4-884-444-8400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-48004-44-44-4-88444-800000000000000000000000000000000000000000000000000000000000000000000000000000000000

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