Finite Group Databasebeta

← Group #11866928

Character table — Group #11866928

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222224444444488888888888121212121212121212121212242424242424363672111122222222224444444488888888888121212121212121212121212242424242424363672
order1222334466666636661212121241212121212121212121288882424242424242424441212121224222226644666666666612121212412121212121212121212888824242424242424244412121212242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-111111111111111111111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1
χ3111111111111111111111111111111111-1-111-1-1-1-11111-1111-1-1-1-1-1111111111111111111111111111111111-1-111-1-1-1-11111-1111-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-111111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-11
χ71111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-11
χ81111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1
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χ1322222-1222-12-1-12-1-1-1-12-12-1-211-2-2-1-1111100220000-1-1-1-10-2110000022222-1222-12-1-12-1-1-1-12-12-1-211-2-2-1-1111100220000-1-1-1-10-21100000
χ1422222-1222-12-1-12-1-1-1-12-12-1-211-2-2-1-1111100-2-20000111102-1-10000022222-1222-12-1-12-1-1-1-12-12-1-211-2-2-1-1111100-2-20000111102-1-100000
χ152222-1222-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-12200-1-1-1-100002000-1-10002222-1222-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-12200-1-1-1-100002000-1-1000
χ162222-1222-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-20011110000-2000110002222-1222-12-122-1-1-1-1-1-12-12222-1-1-1-1-1-1-1-1-2-20011110000-200011000
χ172222-1222-12-122-1-1-1-1-1-12-12-2-2-211-1-111112200-1-1-1-10000-2000110002222-1222-12-122-1-1-1-1-1-12-12-2-2-211-1-111112200-1-1-1-10000-200011000
χ182222-1222-12-122-1-1-1-1-1-12-12-2-2-211-1-11111-2-200111100002000-1-10002222-1222-12-122-1-1-1-1-1-12-12-2-2-211-1-11111-2-200111100002000-1-1000
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χ252-2-222-12-2-2121-1-2-11-112-1-210−3300-11−3−333002i−2i0000−i−iii00i3−i3000002-2-222-12-2-2121-1-2-11-112-1-210−3300-11−3−333002i−2i0000−i−iii00i3−i300000
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χ292-2-22-12-221-2-1-221-11-111-2-12000−331-1−33−332-200-1-11100000000−330002-2-22-12-221-2-1-221-11-111-2-12000−331-1−33−332-200-1-11100000000−33000
χ302-2-22-12-221-2-1-221-11-111-2-12000−331-1−33−33-220011-1-1000000003−30002-2-22-12-221-2-1-221-11-111-2-12000−331-1−33−33-220011-1-1000000003−3000
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χ514-4-44-2-2-4422-22-221-11-122-2-200023−23-11−33−330000000000000000000004-4-44-2-2-4422-22-221-11-122-2-200023−23-11−33−33000000000000000000000
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χ5388-8-8-4-400-4-4444422-2-200000000000000000000000000000000000088-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000
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χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5611111111111111111111111111111111111-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1111-1-1111
χ57111111111111111111111111111111111-1-111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-1-1-111111
χ58111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1
χ591111111111111111111111-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ601111111111111111111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-1-1-111111-1-1-11111-1
χ611111111111111111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1-11111-1-1-1-1-1111-1-111-1
χ621111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111111111111111-1-1-1-1-1-1-1-11
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χ6822222-1222-12-1-12-1-1-1-12-12-1-211-2-2-1-1111100-2-20000111102-1-100000-2-2-2-2-21-2-2-21-211-21111-21-212-1-12211-1-1-1-100220000-1-1-1-10-21100000
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χ9144-4-4440044-4-4-4-444-4-4000000000000000000000000000000000000-4-444-4-400-4-44444-4-444000000000000000000000000000000000000
χ9244-4-44-2004-2-422-4-2-22200000000000000000000000i6−i6i6−i6000000000-4-444-4200-424-2-2422-2-200000000000000000000000−i6i6−i6i6000000000
χ9344-4-44-2004-2-422-4-2-22200000000000000000000000−i6i6−i6i6000000000-4-444-4200-424-2-2422-2-200000000000000000000000i6−i6i6−i6000000000
χ9444-4-4-2400-242-4-42-2-2220000000000000000000i6−i6i6−i60000000000000-4-4442-4002-4-244-222-2-20000000000000000000−i6i6−i6i60000000000000
χ9544-4-4-2400-242-4-42-2-2220000000000000000000−i6i6−i6i60000000000000-4-4442-4002-4-244-222-2-20000000000000000000i6−i6i6−i60000000000000
χ964-44-44400-4-4-44-444-4-44000000000000000000000000000000000000-44-44-4-400444-44-4-444-4000000000000000000000000000000000000
χ974-44-44-200-42-4-224-222-2000000000000000000000006−6−66000000000-44-44-42004-242-2-42-2-2200000000000000000000000−666−6000000000
χ984-44-44-200-42-4-224-222-200000000000000000000000−666−6000000000-44-44-42004-242-2-42-2-22000000000000000000000006−6−66000000000
χ994-44-4-24002-424-4-2-222-20000000000000000000i6−i6−i6i60000000000000-44-442-400-24-2-4422-2-220000000000000000000−i6i6i6−i60000000000000
χ1004-44-4-24002-424-4-2-222-20000000000000000000−i6i6i6−i60000000000000-44-442-400-24-2-4422-2-220000000000000000000i6−i6−i6i60000000000000
χ1014-4-444-2-44-4242-2-4-22-22-424-2000002-20000000000000000000000000-444-4-424-44-2-4-2242-22-24-2-4200000-220000000000000000000000000
χ1024-4-44-244-42-4-2-442-22-22-242-400000-220000000000000000000000000-444-42-4-44-2424-4-22-22-22-4-24000002-20000000000000000000000000
χ1034-4-44-2-24-422-22-221-11-1-2-222023−23001-1−3−333000000000000000000000-444-422-44-2-22-22-2-11-1122-2-20−232300-1133−3−3000000000000000000000
χ1044-4-44-2-24-422-22-221-11-1-2-2220−2323001-133−3−3000000000000000000000-444-422-44-2-22-22-2-11-1122-2-2023−2300-11−3−333000000000000000000000
χ1054-4-44-2-2-4422-22-221-11-122-2-200023−23-11−33−33000000000000000000000-444-4224-4-2-22-22-2-11-11-2-222000−23231-13−33−3000000000000000000000
χ1064-4-44-2-2-4422-22-221-11-122-2-2000−2323-113−33−3000000000000000000000-444-4224-4-2-22-22-2-11-11-2-22200023−231-1−33−33000000000000000000000
χ10788-8-8-4-400-4-4444422-2-2000000000000000000000000000000000000-8-888440044-4-4-4-4-2-222000000000000000000000000000000000000
χ1088-88-8-4-400444-44-42-2-22000000000000000000000000000000000000-88-884400-4-4-44-44-222-2000000000000000000000000000000000000

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