Finite Group Databasebeta

← Group #11812887

Character table — Group #11812887

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666662234466666666666444446666661212121212121212121212121212121244444444441212121212121212222224661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-111-1-1-1-1-1-111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-11111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-111-1-1111
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-1111
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-11111-1
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-11
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-1111111-1
χ17222222222-1222-1-1-122-1-12-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1220000222200000000000020-1-100-1-1-1-1-1-10000000
χ18222222222-1222-1-1-122-1-12-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-2000000000000-2011001111110000000
χ19222222222-1222-1-1-122-1-12-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-211-2-2111111111122000022-2-2000000000000-201100-1-1-1-1110000000
χ20222222222-1222-1-1-122-1-12-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-211-2-21111111111-2-20000-2-22200000000000020-1-1001111-1-10000000
χ21222222222-1222-1-1-122-1-12-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-211111122-1-1-2-211-1-1-1-11111220000-2-2-2-200000000000020-1-100-1-111110000000
χ22222222222-1222-1-1-122-1-12-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-211111122-1-1-2-211-1-1-1-11111-2-200002222000000000000-20110011-1-1-1-10000000
χ23222222222-1222-1-1-122-1-12-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-100002111111-2-21122-1-11111-1-1-1-1220000-2-222000000000000-201100-1-111-1-10000000
χ24222222222-1222-1-1-122-1-12-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-100002111111-2-21122-1-11111-1-1-1-1-2-2000022-2-200000000000020-1-10011-1-1110000000
χ2522222222-12-1-1-1222-1-122-122-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100000200-1-1000000-1-100000
χ2622222222-12-1-1-1222-1-122-122-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-2-2-200001111111100000-200110000001100000
χ2722222222-12-1-1-1222-1-122-122-122-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-1-1-1-111-2-211-2-2111111110022-2-20000-1-1-1-1-1-1-1-100000-200110000001100000
χ2822222222-12-1-1-1222-1-122-122-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-1-1-1-111-2-211-2-21111111100-2-22200001111111100000200-1-1000000-1-100000
χ2922222222-12-1-1-1222-1-122-122-1-2-2-1221111-1-1-1-1-1-1-12222-2-2-21111-1-12211-2-2-1-1-1-1111100-2-2220000-1-1-1-1111100000-20011000000-1-100000
χ3022222222-12-1-1-1222-1-122-122-1-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-2-2-21111-1-12211-2-2-1-1-1-111110022-2-200001111-1-1-1-100000200-1-10000001100000
χ3122222222-12-1-1-1222-1-122-122-1-2-2-1-2-21111-1-1-1-1-1-1-122222-2-2111111-2-2-1-1221111-1-1-1-100-2-2-2-20000-1-1-1-1111100000200-1-10000001100000
χ3222222222-12-1-1-1222-1-122-122-1-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-22-2-2111111-2-2-1-1221111-1-1-1-100222200001111-1-1-1-100000-20011000000-1-100000
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χ402-222-22-2-222-22-2-2-2-22222-22-2-2002-220000-2-22-2-222−2i2i−2i2i0000000-22-220000-2-222000000002i−2i0000−2i2i−2i2i000000000000000000002i−2i00000
χ412-222-22-2-2-121-11-2-2-2-1-12212-2100-12-2−i3−i3i3i311-111-1-12i−2i2i−2i000−i3−i3i3i3-112-2−i3i300-1-111−i3−i3i3i300002i−2i0000−ii−ii33−3−3000000003−3000000−ii00000
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χ432-222-22-2-2-121-11-2-2-2-1-12212-2100-12-2i3i3−i3−i311-111-1-12i−2i2i−2i000i3i3−i3−i3-112-2i3−i300-1-111i3i3−i3−i300002i−2i0000−ii−ii−3−33300000000−33000000−ii00000
χ442-222-22-2-2-121-11-2-2-2-1-12212-2100-12-2i3i3−i3−i311-111-1-1−2i2i−2i2i000i3i3−i3−i3-112-2i3−i300-1-111i3i3−i3−i30000−2i2i0000i−ii−i33−3−3000000003−3000000i−i00000
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χ472-222-22-2-2-121-11-2-2-2-1-12212-2100-1-22i3i3−i3−i311-111-1-12i−2i2i−2i000i3i3−i3−i31-1-22−i3i30011-1-1−i3−i3i3i30000−2i2i0000−ii−ii−3−333000000003−3000000i−i00000
χ482-222-22-2-2-121-11-2-2-2-1-12212-2100-1-22i3i3−i3−i311-111-1-1−2i2i−2i2i000i3i3−i3−i31-1-22−i3i30011-1-1−i3−i3i3i300002i−2i0000i−ii−i33−3−300000000−33000000−ii00000
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χ522-22-22-22-222-2-222-22-22-222-2-2-20020000002-2-22-2-22000000000000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i2-22-2000000−2i2i00000000000
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χ954-4-44-4-444-242-224-4-422-4-4-244-24-4-200-22-22-22-22-222000004-4-22-22000000000000000000000000000000000000000000000000000000000
χ964-4-44-4-444-242-224-4-422-4-4-244-2-44-2002-22-2-22-22-22200000-442-22-2000000000000000000000000000000000000000000000000000000000
χ974-4-44-4-444-2-22-22-2222222-2-2-2-24-4100-22-221-11-11-1-100000-221-11-1000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000
χ984-4-44-4-444-2-22-22-2222222-2-2-2-24-4100-22-221-11-11-1-100000-221-11-100000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000
χ994-4-44-4-444-2-22-22-2222222-2-2-2-2-441002-22-21-11-11-1-1000002-2-11-11000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000
χ1004-4-44-4-444-2-22-22-2222222-2-2-2-2-441002-22-21-11-11-1-1000002-2-11-1100000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000
χ1014-4-4-444-444-2-4-4422-24-4-22-42-2400-2000000222-2-2-22000000000000000000000000000000000004-40000000000000000000000-220000000
χ1024-4-4-444-444-2-4-4422-24-4-22-42-2400-2000000222-2-2-2200000000000000000000000000000000000-4400000000000000000000002-20000000
χ1034-4-4-444-44-2422-2-4-44-224-42-44-200-2000000222-2-2-224-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1044-4-4-444-44-2422-2-4-44-224-42-44-200-2000000222-2-2-22-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ105888-8-8-8-88-4-4-4444-444-44-444-4-4002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-444-4-44-44-44-444400200000022-2-2-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-444-4-44-44-44-4-44440020000002-2-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444-444-4-44-4444-4-4002000000-2-2-2222-200000000000000000000000000000000000000000000000000000000000000000000

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