Finite Group Databasebeta

← Group #11812846

Character table — Group #11812846

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444666666668888888888888888888888881212121212121212121212121212121224242424242424242424242424243636363636363636
order1222222233666666666666663446666666121212122222444444121212121212121212121212121212121212121212124444444466661212121224661212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ91111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1111111-1-1-1-111-1-111-1-1
χ101111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-111-1-1-1-11111-1-111-1-111
χ111111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11-111-1-1-1-111-1-11111-1-1-1-111
χ121111111111111111111111111-1-11111111-1-1-1-11111-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-11-111-1-111-1-111-1-1-1-11111-1-1
χ131111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-111-1-11111-1-1-1-1-1-111-1-111
χ141111111111111111111111111-1-11111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-1-1-1111111-1-111-1-1
χ151111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-11-1-111-1-111-1-111-1-11111-1-1
χ161111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-1-11111-1-111-1-111-1-1-1-111
χ17222222222-1222-1-1-12-1-12-12-12-122-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ18222222222-1222-1-1-12-1-12-12-12-122-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-21111-2-222-1-1-1-11111111100000000-1-1-1-1-1-1-1-1-2-211110000000000000000
χ19222222222-1222-1-1-12-1-12-12-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000011111111-2-211110000000000000000
χ20222222222-1222-1-1-12-1-12-12-12-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-21111-2-222-1-1-1-111111111000000001111111122-1-1-1-10000000000000000
χ21222222222-1222-1-1-12-1-12-12-12-1-2-2-1-1-1-1-1-1-111112222-2-2-2-22-222-1-111-2-2-2-21111-1-1-1-1111100000000-1-1-1-11111-2211-1-10000000000000000
χ22222222222-1222-1-1-12-1-12-12-12-1-2-2-1-1-1-1-1-1-111112222-2-2-2-2-22-2-211-1-122-2-211111111-1-1-1-100000000-1-1-1-111112-2-1-1110000000000000000
χ23222222222-1222-1-1-12-1-12-12-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-222222-222-1-111-2-2-2-21111-1-1-1-11111000000001111-1-1-1-12-2-1-1110000000000000000
χ24222222222-1222-1-1-12-1-12-12-12-1-2-2-1-1-1-1-1-1-11111-2-2-2-22222-22-2-211-1-122-2-211111111-1-1-1-1000000001111-1-1-1-1-2211-1-10000000000000000
χ2522222222-12-1-1-1222-122-12-12-1-122-1-1-1-1-1-1-122220000000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222200000000000000-1-1-1-1-1-1-1-100000000
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χ2722222222-12-1-1-1222-122-12-12-1-122-1-1-1-1-1-1-1222200000000-2-211-2-2-2-211-1-1-1-1-1-11111111122-2-222-2-20000000000000011-1-1-1-11100000000
χ2822222222-12-1-1-1222-122-12-12-1-122-1-1-1-1-1-1-1222200000000-2-211-2-2-2-211-1-1-1-1-1-111111111-2-222-2-22200000000000000-1-11111-1-100000000
χ2922222222-12-1-1-1222-122-12-12-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2000000002-2-1-122-2-211111111-1-1-1-111112222-2-2-2-200000000000000-1-1-1-1111100000000
χ3022222222-12-1-1-1222-122-12-12-1-1-2-2-1-1-1-1-1-1-1-2-2-2-2000000002-2-1-122-2-211111111-1-1-1-11111-2-2-2-22222000000000000001111-1-1-1-100000000
χ3122222222-12-1-1-1222-122-12-12-1-1-2-2-1-1-1-1-1-1-1-2-2-2-200000000-2211-2-222-1-11111111111-1-1-1-122-2-2-2-2220000000000000011-1-111-1-100000000
χ3222222222-12-1-1-1222-122-12-12-1-1-2-2-1-1-1-1-1-1-1-2-2-2-200000000-2211-2-222-1-11111111111-1-1-1-1-2-22222-2-200000000000000-1-111-1-11100000000
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χ3522-2-22-22-2222-2-222-2-22-22-22-2-22−2i2i22-2-22-2-2−2i−2i2i2i22-2-2−2i−2i2i2i0000000000−2i2i−2i−2i2i2i000000000000000022-2-2−2i−2i2i2i0000000000000000000000
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χ3922-2-22-22-22-12-2-2-1-11-2-112121-2-12i−2i-1-111-111−i−iii-2-222−2i−2i2i2i00003−3−i3i3002i−2i−i−iii33−3−3−i3−i3i3i30000000011-1-1ii−i−i00i3−i3−330000000000000000
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χ4122-2-22-22-22-12-2-2-1-11-2-112121-2-1−2i2i-1-111-111ii−i−i22-2-2−2i−2i2i2i00003−3i3−i300−2i2iii−i−i33−3−3i3i3−i3−i300000000-1-111ii−i−i00i3−i33−30000000000000000
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χ954-44-4-4-444-242224-4-4-2-44-2-424-2-200-22222-2-20000000000000000000000000000000000000000004-400000000000000000000-2200000000
χ964-44-4-4-444-242224-4-4-2-44-2-424-2-200-22222-2-2000000000000000000000000000000000000000000-44000000000000000000002-200000000
χ974-4-44-444-44-2-444-22-2-4224-2-42-4-200-22-2-2222000000004i−4i−4i4i000000000000000000000000000000000000−2i2i2i−2i0000000000000000000000
χ984-4-44-444-44-2-444-22-2-4224-2-42-4-200-22-2-222200000000−4i4i4i−4i0000000000000000000000000000000000002i−2i−2i2i0000000000000000000000
χ994-4-44-444-4-242-2-24-442-4-4-242-42-200-22-2-2222000000000000000000000000000000000000004-4000000000000000000-2200000000000000
χ1004-4-44-444-4-242-2-24-442-4-4-242-42-200-22-2-222200000000000000000000000000000000000000-440000000000000000002-200000000000000
χ1014-4-4-444-444-2-4-4422-2-4-22-424-24-200222-2-22-200004-4-44000000000000000000000000000000000000-222-200000000000000000000000000
χ1024-4-4-444-444-2-4-4422-2-4-22-424-24-200222-2-22-20000-444-40000000000000000000000000000000000002-2-2200000000000000000000000000
χ1034-4-4-444-44-2422-2-4-4424-42-4-24-2-200222-2-22-20000000000000000000000000000000000004-40000000000000000000000-22000000000000
χ1044-4-4-444-44-2422-2-4-4424-42-4-24-2-200222-2-22-2000000000000000000000000000000000000-4400000000000000000000002-2000000000000
χ1058-8888-8-8-8-4-44-44444-4-4-44-4-444200-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-8-888-4-4444-444-44-4-444-4-42002-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-888-8-4-44-4-4-44-4444-4-44442002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444-444-44-4444-4-4-4200-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000000000

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