Finite Group Databasebeta

← Group #11887646

Character table — Group #11887646

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size1111222222222222222244444444444444444444444444488888888888888888812121212121212121212121218181818242424242424242424242424242424242424363636363636
order1222222233444466666634446666666666612121212121212121212121266661212121212121212121212121212444412121212121212128888444444121212121212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-111-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111-1-111-1-1111111111-11-11111-1-1-1-1111-1-1-1-11111111111-1-1-11-1-11-1-1-1-1-111-1-111111111111111111-1-1-11-1-1-1-1-111-1-111-1-1-1-111-1-1
χ6111111-1-111-1-1111111111-11-11111-1-1-1-1111-1-1-1-11111111111-1-1-11-1-11-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-11111-1-111
χ7111111-1-111-1-1111111111-11-11111-1-1-1-1111-1-1-1-11111111111-1-1-11-1-11-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-11-111-1-1-111-1-11111-1-111-1-111
χ8111111-1-111-1-1111111111-11-11111-1-1-1-1111-1-1-1-11111111111-1-1-11-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1111-111111-1-111-1-111-1-111-1-1
χ91111-1-11111-1-1111111111-1-11-1-1-1-11111111-1-1-1-111111111-1-111-1-11-1-11-1-1-1-1-1-1111111111111111111-11-1-1-11-1-1-1-1-1-111-1-111-1-1-1-111
χ101111-1-11111-1-1111111111-1-11-1-1-1-11111111-1-1-1-111111111-1-111-1-11-1-11-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-11-111-1-1-1-11111-1-11111-1-1
χ111111-1-11111-1-1111111111-1-11-1-1-1-11111111-1-1-1-111111111-1-111-1-11-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1-11-11-1-11111-1-1-1-1111111-1-1
χ121111-1-11111-1-1111111111-1-11-1-1-1-11111111-1-1-1-111111111-1-111-1-11-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1111-1111111-1-111-1-1-1-1-1-111
χ131111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-11-1-11111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ141111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-11111
χ151111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111-1-1-111-1-11111-1-1-1-1-1-11111
χ161111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-11-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111111111-1-1-1-1
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χ18222222222-122222-12-1-12-122222-1-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-12200-1-1-1-10000000022020000-1-1-1-1-1-10000000000
χ19222222222-122222-12-1-12-122222-1-122-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-1-1-2-200111100000000-2-20-200001111110000000000
χ20222222222-122-2-22-12-1-12-1-2-2-222-1-122-1-1-1-1-122-1-111-2-21111-1-1-1-1-2111-2-2-1-11111110000−i3−i3i3i30000000000000000−i3i3−i3i3−i3i30000000000
χ21222222222-122-2-22-12-1-12-1-2-2-222-1-122-1-1-1-1-122-1-111-2-21111-1-1-1-1-2111-2-2-1-11111110000i3i3−i3−i30000000000000000i3−i3i3−i3i3−i30000000000
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χ2322222222-122222-12-122-1-1222-1-122-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-100-2-200001111000000-20-2-2110000001111000000
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χ2522222222-1222-2-2-12-122-1-1-2-2-2-1-122-1-122-1-1-1-1-122-2-2111111-1-1-1-11-2-2-211-1-111111100000000i3i3−i3−i30000000000i3−i3000000i3−i3i3−i3000000
χ26222222-2-222-2-2-2-222222222-222222-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-222-2-22-222-22-2-222-2-2220000000000000000000000000000000000000000
χ27222222-2-22-1-2-2222-12-1-12-1-22-222-1-1-2-211-1-1-1-2-211-1-122-1-1-1-1-1-111-2-1112-21111-1-1112200-1-1-1-1000000002-20-2000011-1-1110000000000
χ28222222-2-22-1-2-2222-12-1-12-1-22-222-1-1-2-211-1-1-1-2-211-1-122-1-1-1-1-1-111-2-1112-21111-1-111-2-200111100000000-22020000-1-111-1-10000000000
χ29222222-2-22-1-2-2-2-22-12-1-12-12-2222-1-1-2-211-1-1-1-2-21111-2-21111-1-11121-1-1-2211-1-111-1-10000−i3−i3i3i30000000000000000i3−i3−i3i3i3−i30000000000
χ30222222-2-22-1-2-2-2-22-12-1-12-12-2222-1-1-2-211-1-1-1-2-21111-2-21111-1-11121-1-1-2211-1-111-1-10000i3i3−i3−i30000000000000000−i3i3i3−i3−i3i30000000000
χ31222222-2-2-12-2-222-12-122-1-1-22-2-1-12211-2-2-1-1-111-2-222-1-1-1-1-1-1-1-11112-2-2-111111-1-11100220000-1-1-1-1000000-202-211000000-1-111000000
χ32222222-2-2-12-2-222-12-122-1-1-22-2-1-12211-2-2-1-1-111-2-222-1-1-1-1-1-1-1-11112-2-2-111111-1-11100-2-20000111100000020-22-1-100000011-1-1000000
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χ352222-2-22222-2-2-2-2222222222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-222-2-2-22222-2-20000000000000000000000000000000000000000
χ362222-2-2222-1-2-2222-12-1-12-1-2-22-2-21122-1-1-1-1-1-2-211-1-122-1-1-1-111-1-1-21-11-22111111-1-12200-1-1-1-100000000-220-200001111-1-10000000000
χ372222-2-2222-1-2-2222-12-1-12-1-2-22-2-21122-1-1-1-1-1-2-211-1-122-1-1-1-111-1-1-21-11-22111111-1-1-2-2001111000000002-2020000-1-1-1-1110000000000
χ382222-2-2222-1-2-2-2-22-12-1-12-122-2-2-21122-1-1-1-1-1-2-21111-2-2111111-1-12-11-12-211-1-1-1-1110000−i3−i3i3i30000000000000000i3−i3i3−i3−i3i30000000000
χ392222-2-2222-1-2-2-2-22-12-1-12-122-2-2-21122-1-1-1-1-1-2-21111-2-2111111-1-12-11-12-211-1-1-1-1110000i3i3−i3−i30000000000000000−i3i3−i3i3i3−i30000000000
χ402222-2-222-12-2-222-12-122-1-1-2-2211-2-2-1-122-1-1-111-2-222-1-1-1-1-1-111-1-11-22-21-1111111-1-100220000-1-1-1-1000000-20-221100000011-1-1000000
χ412222-2-222-12-2-222-12-122-1-1-2-2211-2-2-1-122-1-1-111-2-222-1-1-1-1-1-111-1-11-22-21-1111111-1-100-2-200001111000000202-2-1-1000000-1-111000000
χ422222-2-222-12-2-2-2-2-12-122-1-122-211-2-2-1-122-1-1-111-2-2-2-211111111-1-1-12-22-1111-1-1-1-11100000000−i3−i3i3i30000000000i3−i3000000i3−i3−i3i3000000
χ432222-2-222-12-2-2-2-2-12-122-1-122-211-2-2-1-122-1-1-111-2-2-2-211111111-1-1-12-22-1111-1-1-1-11100000000i3i3−i3−i30000000000−i3i3000000−i3i3i3−i3000000
χ442222-2-2-2-22222-2-22222222-222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-222-22222-2-222220000000000000000000000000000000000000000
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χ482222-2-2-2-22-122-2-22-12-1-12-1-222-2-211-2-211-1-1-122-1-111-2-211111111-2-1-1122-1-111-1-1-1-10000i3i3−i3−i30000000000000000i3−i3−i3i3−i3i30000000000
χ492222-2-2-2-2-122222-12-122-1-12-2-211-2-211-2-2-1-1-1-1-12222-1-1-1-1-1-11111-1-2-2211-1-1-1-1111100220000-1-1-1-100000020-2-2-1-10000001111000000
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χ522222-2-2-2-2-1222-2-2-12-122-1-1-22211-2-211-2-2-1-1-1-1-122-2-21111111111122-2-1-1-1-111-1-1-1-100000000i3i3−i3−i30000000000i3−i3000000−i3i3−i3i3000000
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χ954-4-4400004-200-44-42-4-224-20000000000022-200002-2-4422-2-20000000000000000000000−232323−2300000000000000000000000000000000
χ964-4-440000-24004-42-424-4-2-20000000000022-200004-4-22-2-222000000000000000000004-40000-22-220000000000000000000000000000
χ974-4-440000-24004-42-424-4-2-20000000000022-200004-4-22-2-22200000000000000000000-4400002-22-20000000000000000000000000000
χ984-4-440000-2400-442-424-4-2-20000000000022-20000-442-222-2-200000000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ994-4-440000-2400-442-424-4-2-20000000000022-20000-442-222-2-2000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ1008-88-800008-40000-8484-4-8-4000000000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-80000-4800004-8-4-884-4000000000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-80000-4-4000044-44-44200000000000-22-2000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ1038-88-80000-4-4000044-44-44200000000000-22-200000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000
χ1048-8-880000-4-4008-8444-44-4200000000000-2-220000-44-4422-2-20000000000000000000000000000000000000000000000000000000000
χ1058-8-880000-4-400-88444-44-4200000000000-2-2200004-44-4-2-2220000000000000000000000000000000000000000000000000000000000

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