Finite Group Databasebeta

← Group #11868411

Character table — Group #11868411

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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order1222334466666634466612121212121212121212121212128888242424242424242444441212121244422226644666666644666121212121212121212121212121288882424242424242424444412121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ31111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-11111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111
χ5111111111111111-1-11111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-11-1-1111111111111111-1-11111111-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-11-1-1
χ6111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-111111111111111111-1-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-111
χ7111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-1-111111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-111-1-1-111
χ8111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
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χ1222222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-2001100022222-1222-12-12-1-122-1-1-12-12-122-1-1-1-1-1-1-1-100-2-200001111000-20011000
χ1322222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100220000-1-1-1-1000-2001100022222-1222-12-12-1-1-2-2-1-1-12-12-1-2-211-1-1111100220000-1-1-1-1000-20011000
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χ2922-2-2-122-21-2-121-2-1-2211-1-121-21-1-22-1111-1-1000033−3−300000000−330000022-2-2-122-21-2-121-2-1-2211-1-121-21-1-22-1111-1-1000033−3−300000000−3300000
χ3022-2-2-122-21-2-121-2-1-2211-1-121-21-1-22-1111-1-10000−3−333000000003−30000022-2-2-122-21-2-121-2-1-2211-1-121-21-1-22-1111-1-10000−3−333000000003−300000
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χ58111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ59111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-111111
χ601111111111111111111111111111111111-1-111-1-1-1-11111-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111-111-1-1111
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1
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χ65111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-111
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χ8622-2-2-122-21-2-121-2-1-2211-1-121-21-1-22-1111-1-1000033−3−300000000−3300000-2-2221-2-22-121-2-1212-2-1-111-2-12-112-21-1-1-1110000−3−333000000003−300000
χ8722-2-2-122-21-2-121-2-1-2211-1-121-21-1-22-1111-1-10000−3−333000000003−300000-2-2221-2-22-121-2-1212-2-1-111-2-12-112-21-1-1-111000033−3−300000000−3300000
χ882-22-22200-2-2-2-2222002-2-200000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-2000000000-22-22-2-2002222-2-2-200-22200000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22000000000
χ892-22-22200-2-2-2-2222002-2-200000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2-22000000000-22-22-2-2002222-2-2-200-22200000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i22-2000000000
χ902-22-22200-2-2-2-2222002-2-200000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2-22000000000-22-22-2-2002222-2-2-200-22200000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i22-2000000000
χ912-22-22200-2-2-2-2222002-2-200000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-2000000000-22-22-2-2002222-2-2-200-22200000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22000000000
χ9244444-2-4-44-24-24-2-200-2-2-2-42-42000022000000000000000000000000000-4-4-4-4-4244-42-42-422002224-24-20000-2-2000000000000000000000000000
χ934444-24-4-4-24-24-24-200-2-2-22-42-4000022000000000000000000000000000-4-4-4-42-4442-42-42-4200222-24-240000-2-2000000000000000000000000000
χ944444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2-2-211111100000000000000000000000-4-4-4-422-4-4222222-1-4-4-1-1-122222222-1-1-1-1-1-100000000000000000000000
χ954444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2222211-1-1-1-100000000000000000000000-4-4-4-422-4-4222222-144-1-1-12222-2-2-2-2-1-1111100000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-210011122220000-1-13-33-300000000000000000000000-4-4-4-42244222222-100-1-1-1-2-2-2-2000011-33-3300000000000000000000000
χ974444-2-2-4-4-2-2-2-2-2-210011122220000-1-1-33-3300000000000000000000000-4-4-4-42244222222-100-1-1-1-2-2-2-20000113-33-300000000000000000000000
χ9844-4-44-2-44-424-2-42-20022-2-424-200002-2000000000000000000000000000-4-444-424-44-2-424-2200-2-224-2-420000-22000000000000000000000000000
χ9944-4-4-24-442-4-242-4-20022-22-4-2400002-2000000000000000000000000000-4-4442-44-4-242-4-24200-2-22-242-40000-22000000000000000000000000000
χ10044-4-4-2-24-422-2-22214-4-1-11-2-222-22-221-111-1-100000000000000000000000-4-44422-44-2-222-2-2-1-4411-122-2-22-22-2-11-1-11100000000000000000000000
χ10144-4-4-2-24-422-2-2221-44-1-11-2-2222-22-21-1-1-11100000000000000000000000-4-44422-44-2-222-2-2-14-411-122-2-2-22-22-1111-1-100000000000000000000000
χ10244-4-4-2-2-4422-2-222100-1-1122-2-20000-113-3-3300000000000000000000000-4-444224-4-2-222-2-2-10011-1-2-22200001-1-333-300000000000000000000000
χ10344-4-4-2-2-4422-2-222100-1-1122-2-20000-11-333-300000000000000000000000-4-444224-4-2-222-2-2-10011-1-2-22200001-13-3-3300000000000000000000000
χ1044-44-44-200-42-424-2-200-2220000000000000000−2i22i20000i2−i2i2−i200000000000-44-44-42004-24-2-422002-2-200000000000000002i2−2i20000−i2i2−i2i200000000000
χ1054-44-44-200-42-424-2-200-22200000000000000002i2−2i20000−i2i2−i2i200000000000-44-44-42004-24-2-422002-2-20000000000000000−2i22i20000i2−i2i2−i200000000000
χ1064-44-4-24002-42-4-24-200-22200000000000000−2i22i200i2−i2i2−i2000000000000000-44-442-400-24-242-42002-2-2000000000000002i2−2i200−i2i2−i2i2000000000000000
χ1074-44-4-24002-42-4-24-200-222000000000000002i2−2i200−i2i2−i2i2000000000000000-44-442-400-24-242-42002-2-200000000000000−2i22i200i2−i2i2−i2000000000000000
χ1084-4-44440044-4-4-4-4400-44-40000000000000000000000000000000000000-444-4-4-400-4-44444-4004-440000000000000000000000000000000000000
χ1094-4-444-2004-2-42-42-2002-220000000000000000000000i6−i6−i6i600000000000-444-4-4200-424-24-2200-22-20000000000000000000000−i6i6i6−i600000000000
χ1104-4-444-2004-2-42-42-2002-220000000000000000000000−i6i6i6−i600000000000-444-4-4200-424-24-2200-22-20000000000000000000000i6−i6−i6i600000000000
χ1114-4-44-2400-242-42-4-2002-22000000000000000000i6−i6−i6i6000000000000000-444-42-4002-4-24-24200-22-2000000000000000000−i6i6i6−i6000000000000000
χ1124-4-44-2400-242-42-4-2002-22000000000000000000−i6i6i6−i6000000000000000-444-42-4002-4-24-24200-22-2000000000000000000i6−i6−i6i6000000000000000
χ1138-88-8-4-4004444-4-42002-2-20000000000000000000000000000000000000-88-884400-4-4-4-444-200-2220000000000000000000000000000000000000
χ1148-8-88-4-400-4-44444200-22-20000000000000000000000000000000000000-888-8440044-4-4-4-4-2002-220000000000000000000000000000000000000

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