Finite Group Databasebeta

← Group #11812921

Character table — Group #11812921

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666634444666666612121212222226666666612121212121212121212121212122244444444666612121212444444661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1111111-1-1-1-1-1-1-1-1111
χ6111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-111-1-1-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1111111-1-1111
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-11-1-1-1-1-111-1-1-1-11111-1-11
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-11
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11111-1
χ17222222222-1222-1-1-1-1-1222-1-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000002-1-10000-1-1000000000
χ18222222222-1222-1-1-1-1-1222-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-200001111111100000-211000011000000000
χ19222222222-1222-1-1-1-1-1222-1-12-122-2-2-1-1-1-1-1-1-111112222-2-2-211111122-1-1-2-2-1-1-1-111112200-2-20000-1-1-1-1111100000-2-1-1000011000000000
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χ23222222222-1222-1-1-1-1-1222-1-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-1-1-1-1-1-1-2-211-2-211111111-2-200-2-20000-1-1-1-11111000002110000-1-1000000000
χ24222222222-1222-1-1-1-1-1222-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-1-1-1-1-1-1-2-211-2-21111111122002200001111-1-1-1-100000-2-1-1000011000000000
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χ3222222222-12-1-1-122222-1-1-122-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-122-1-1-1-111-2-2111111111100-2-20022-2-2000000000000200011-1-100-1-11100000
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χ954-4-44-44-44-2422-2-4-4-4-44-22244-2-24-4002222-2-2-200000000000000000-224-400-2-222000000000000000000000000000000000000000000000
χ964-4-44-44-44-2422-2-4-4-4-44-22244-2-2-44002222-2-2-2000000000000000002-2-440022-2-2000000000000000000000000000000000000000000000
χ974-4-44-44-44-2-222-22222-2-222-2-2-214-400-1-1-1-1111−2i32i3−2i32i30000000−2i32i3i3i3−i3−i3-22-220011-1-1i3−i3i3−i300000000000000000000000000000000000000000
χ984-4-44-44-44-2-222-22222-2-222-2-2-214-400-1-1-1-11112i3−2i32i3−2i300000002i3−2i3−i3−i3i3i3-22-220011-1-1−i3i3−i3i300000000000000000000000000000000000000000
χ994-4-44-44-44-2-222-22222-2-222-2-2-21-4400-1-1-1-1111−2i32i3−2i32i300000002i3−2i3−i3−i3i3i32-22-200-1-111i3−i3i3−i300000000000000000000000000000000000000000
χ1004-4-44-44-44-2-222-22222-2-222-2-2-21-4400-1-1-1-11112i3−2i32i3−2i30000000−2i32i3i3i3−i3−i32-22-200-1-111−i3i3−i3i300000000000000000000000000000000000000000
χ1014-4-4-44-4444-2-44-4-222-22-44-42-24-20000-222-222-2000000000000000000000000000000000004-400000000-22-2200000000000000000000000
χ1024-4-4-44-4444-2-44-4-222-22-44-42-24-20000-222-222-200000000000000000000000000000000000-44000000002-22-200000000000000000000000
χ1034-4-4-44-444-242-224-4-44-42-22-44-2-20000-222-222-20000000000000000000000000000000004-40000000000000000000000-220000000000000
χ1044-4-4-44-444-242-224-4-44-42-22-44-2-20000-222-222-2000000000000000000000000000000000-4400000000000000000000002-20000000000000
χ105888-8-8-8-88-4-4-4444-4-44444-44-4-420000-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-88-8-4-4-444-4-4444-4-44-4442000022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-4444-4-44-44-4-44420000-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-88-888-4-44-44-444-444-444-4-4200002-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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