Finite Group Databasebeta

← Group #11794591

Character table — Group #11794591

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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χ13222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-1-1-1222-12-2-2-2-2-2-21111-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-211110000000000
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χ954-4-444-4-44-2-24-44-4222-2-2222-2-222-2-21-1-1-1111-1-22-2-22-2224i−4i−2i2i−2i2i−2i2i−2i2i1-11-1i−ii−ii−ii−i000000000000000000000000000000000000000000
χ964-4-444-4-44-2-24-44-4222-2-2222-2-222-2-21-1-1-1111-1-22-2-22-222−4i4i2i−2i2i−2i2i−2i2i−2i1-11-1−ii−ii−ii−ii000000000000000000000000000000000000000000
χ974-4-444-4-44-2-2-44-44222-2-2222-2-222-2-21-1-1-1111-12-222-22-2-20000000000-11-113i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ984-4-444-4-44-2-2-44-44222-2-2222-2-222-2-21-1-1-1111-12-222-22-2-20000000000-11-11−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ994-4-4-4444-44-24-4-44-4-44-4-422-22-24-224-222-222-2-2-2224-4-4-240000000000-222-200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-24-444-422-222-4-44-44-24-4-2-222-222-2-2-4442-2-2-4200000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-24-4-4422-22222-22-2-2-22-21-1-11-1-111-222-222-2-200−2i32i32i3−2i300001-1-11i3−i3−i3i3i3−i3−i3i3000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-24-4-4422-22222-22-2-2-22-21-1-11-1-111-222-222-2-2002i3−2i3−2i32i300001-1-11−i3i3i3−i3−i3i3i3−i3000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-444-422-22222-22-2-2-22-21-1-11-1-1112-2-22-2-222000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-444-422-22222-22-2-2-22-21-1-11-1-1112-2-22-2-2220000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000000000
χ10588-88-88-8-8-4-40000-44-4-44-44-4-44444422-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-40000-4444-4-44444-4-4-4422-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-400004-44-444-44-44-4-4442-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-88-4-400004-4-44-44-4-44444-442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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