Finite Group Databasebeta

← Group #11863720

Character table — Group #11863720

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
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order12223344666666223666121212126666666612128888242424242424242444246612122442222664466666622666612121212666666661212888824242424242424244424661212244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1111111111111111111111111111111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1
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
χ511111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-111111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-1
χ611111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-111-11111111111111111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-111-111
χ711111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1-11111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1-111
χ811111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1
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χ1222222-1222-1-12-1222-1-1-1-12-12-122-1-1-1-1-1-1-1-1-2-2001111000000-20110000022222-1222-1-12-1222-1-1-1-12-12-122-1-1-1-1-1-1-1-1-2-2001111000000-201100000
χ1322222-1222-1-12-12-2-2-1-1-1-12-12-1-2-2111111-1-12200-1-1-1-1000000-20110000022222-1222-1-12-12-2-2-1-1-1-12-12-1-2-2111111-1-12200-1-1-1-1000000-201100000
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χ152222-1222-122-12-122-1-1-1-1-12-12-1-122-1-1-1-1-1-100220000-1-1-1-1000200-1-10002222-1222-122-12-122-1-1-1-1-12-12-1-122-1-1-1-1-1-100220000-1-1-1-1000200-1-1000
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χ182222-1222-122-12-1-2-2-1-1-1-1-12-1211-2-21111-1-100-2-200001111000200-1-10002222-1222-122-12-1-2-2-1-1-1-1-12-1211-2-21111-1-100-2-200001111000200-1-1000
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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
χ6211111111111111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111
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χ6411111111111111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-11-1-1111-1-1
χ6511111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-1-1-1-1-111
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χ852-2-222-1-22-2112-1-22-2-111-121-2-12-2-11-1-1111-10000i3−i3i3−i300000000i3−i300000-222-2-212-22-1-1-212-221-1-11-2-121-221-111-1-1-110000−i3i3−i3i300000000−i3i300000
χ862-2-222-1-22-2112-1-2-22-111-121-2-1-221-111-1-11-10000−i3i3−i3i300000000i3−i300000-222-2-212-22-1-1-2122-21-1-11-2-1212-2-11-1-111-110000i3−i3i3−i300000000−i3i300000
χ872-2-222-1-22-2112-1-2-22-111-121-2-1-221-111-1-11-10000i3−i3i3−i300000000−i3i300000-222-2-212-22-1-1-2122-21-1-11-2-1212-2-11-1-111-110000−i3i3−i3i300000000i3−i300000
χ882-2-22-12-221-2-2-1212-2-111-1-1-212-112-2-1-1111-1000000003−33−30000003−3000-222-21-22-2-1221-2-1-221-1-1112-1-21-1-2211-1-1-1100000000−33−33000000−33000
χ892-2-22-12-221-2-2-1212-2-111-1-1-212-112-2-1-1111-100000000−33−33000000−33000-222-21-22-2-1221-2-1-221-1-1112-1-21-1-2211-1-1-11000000003−33−30000003−3000
χ902-2-22-12-221-2-2-121-22-111-1-1-2121-1-2211-1-11-1000000003−33−3000000−33000-222-21-22-2-1221-2-12-21-1-1112-1-2-112-2-1-111-1100000000−33−330000003−3000
χ912-2-22-12-221-2-2-121-22-111-1-1-2121-1-2211-1-11-100000000−33−330000003−3000-222-21-22-2-1221-2-12-21-1-1112-1-2-112-2-1-111-11000000003−33−3000000−33000
χ9244444-2-4-44-2-24-2400-2-2-2-2-42-42000000002200000000000000000000000-4-4-4-4-4244-422-42-40022224-24-200000000-2-200000000000000000000000
χ934444-24-4-4-244-24-200-2-2-2-22-42-4000000002200000000000000000000000-4-4-4-42-4442-4-42-42002222-24-2400000000-2-200000000000000000000000
χ944444-2-244-2-2-2-2-2-2441111-2-2-2-2-2-2-2-211111100000000000000000000000-4-4-4-422-4-4222222-4-4-1-1-1-122222222-1-1-1-1-1-100000000000000000000000
χ954444-2-244-2-2-2-2-2-2-4-41111-2-2-2-22222-1-1-1-11100000000000000000000000-4-4-4-422-4-422222244-1-1-1-12222-2-2-2-21111-1-100000000000000000000000
χ964444-2-2-4-4-2-2-2-2-2-2001111222200003-33-3-1-100000000000000000000000-4-4-4-4224422222200-1-1-1-1-2-2-2-20000-33-331100000000000000000000000
χ974444-2-2-4-4-2-2-2-2-2-200111122220000-33-33-1-100000000000000000000000-4-4-4-4224422222200-1-1-1-1-2-2-2-200003-33-31100000000000000000000000
χ9844-4-44-2004-22-42-400-2-2220000000000000022−2200−2−222000000000000000-4-444-4200-42-24-240022-2-200000000000000−22220022−2−2000000000000000
χ9944-4-44-2004-22-42-400-2-22200000000000000−22220022−2−2000000000000000-4-444-4200-42-24-240022-2-20000000000000022−2200−2−222000000000000000
χ10044-4-4-2400-24-42-4200-2-2220000000000000000−2i22i20000i2i2−i2−i200000000000-4-4442-4002-44-24-20022-2-200000000000000002i2−2i20000−i2−i2i2i200000000000
χ10144-4-4-2400-24-42-4200-2-22200000000000000002i2−2i20000−i2−i2i2i200000000000-4-4442-4002-44-24-20022-2-20000000000000000−2i22i20000i2i2−i2−i200000000000
χ1024-44-44400-4-44-4-44004-44-40000000000000000000000000000000000000-44-44-4-40044-444-400-44-440000000000000000000000000000000000000
χ1034-44-44-200-42-2-42400-22-22000000000000000000i6−i6−i6i6000000000000000-44-44-42004-224-2-4002-22-2000000000000000000−i6i6i6−i6000000000000000
χ1044-44-44-200-42-2-42400-22-22000000000000000000−i6i6i6−i6000000000000000-44-44-42004-224-2-4002-22-2000000000000000000i6−i6−i6i6000000000000000
χ1054-44-4-24002-442-4-200-22-220000000000000000000000i6−i6−i6i600000000000-44-442-400-24-4-242002-22-20000000000000000000000−i6i6i6−i600000000000
χ1064-44-4-24002-442-4-200-22-220000000000000000000000−i6i6i6−i600000000000-44-442-400-24-4-242002-22-20000000000000000000000i6−i6−i6i600000000000
χ1074-4-444-24-4-4224-2-400-222-2-4-24200000000-2200000000000000000000000-444-4-42-444-2-2-424002-2-2242-4-2000000002-200000000000000000000000
χ1084-4-44-244-42-4-4-24200-222-224-2-400000000-2200000000000000000000000-444-42-4-44-2442-4-2002-2-22-2-424000000002-200000000000000000000000
χ1094-4-44-2-24-4222-2-22001-1-112-2-2200003-3-331-100000000000000000000000-444-422-44-2-2-222-200-111-1-222-20000-333-3-1100000000000000000000000
χ1104-4-44-2-24-4222-2-22001-1-112-2-220000-333-31-100000000000000000000000-444-422-44-2-2-222-200-111-1-222-200003-3-33-1100000000000000000000000
χ1114-4-44-2-2-44222-2-224-41-1-11-222-2-22-2211-1-1-1100000000000000000000000-444-4224-4-2-2-222-2-44-111-12-2-222-22-2-1-1111-100000000000000000000000
χ1124-4-44-2-2-44222-2-22-441-1-11-222-22-22-2-1-111-1100000000000000000000000-444-4224-4-2-2-222-24-4-111-12-2-22-22-2211-1-11-100000000000000000000000
χ11388-8-8-4-400-4-444440022-2-20000000000000000000000000000000000000-8-888440044-4-4-4-400-2-2220000000000000000000000000000000000000
χ1148-88-8-4-40044-444-4002-22-20000000000000000000000000000000000000-88-884400-4-44-4-4400-22-220000000000000000000000000000000000000

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