Finite Group Databasebeta

← Group #11811923

Character table — Group #11811923

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666662234466666666666444446666661212121212121212121212121212121222444444441212121212121212444444661212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-1-1
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111-1
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1111111-1-11
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-111-1-11
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-111-1
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1111111-1
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-11111-1
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-11
χ17222222222-1222-1-1-12-122-1-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1220022002200000000000002-1-10000-1-1-1-1-1-100000
χ18222222222-1222-1-1-12-122-1-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-200-2-20000000000000-211000011111100000
χ19222222222-1222-1-1-12-122-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-21111-2-2111111112200-2-200220000000000000-2-1-100001111-1-100000
χ20222222222-1222-1-1-12-122-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-21111-2-211111111-2-2002200-2-200000000000002110000-1-1-1-11100000
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χ2522222222-12-1-1-1222-12-1-1222-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-100002000-1-1-1-100000000000
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χ2722222222-12-1-1-1222-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-1-1-1-111-2-2-2-2111111111100-2-2002200-1-1-1-1-1-1-1-10000-2000111100000000000
χ2822222222-12-1-1-1222-12-1-1222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-1-1-1-111-2-2-2-21111111111002200-2-2001111111100002000-1-1-1-100000000000
χ2922222222-12-1-1-1222-12-1-1222-1-2-2-1221111-1-1-1-1-1-1-12222-2-2-21111-1-122-2-211-1-1-1-11111002200-2-200-1-1-1-111110000-2000-1-11100000000000
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χ984-4-444-4-44-242-22-4-442-42-2-444-200-200000022-22-2-22000000000000000000000000000000000-4400000022-2-200000000000000000000000
χ994-4-4-4444-44-2-4-442-2-2-4244-222-400-24i−4i0000-222-2-222000000000004i−4i−2i2i0000−2i−2i2i2i000000000000000000000000000000000000000000000
χ1004-4-4-4444-44-2-4-442-2-2-4244-222-400-2−4i4i0000-222-2-22200000000000−4i4i2i−2i00002i2i−2i−2i000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-222-22-2-222-2-2-22220014i−4i−2i32i3−2i32i31-1-111-1-10000000i3−i3i3−i3−2i2i−2i2i0023−23ii−i−i−3−33300000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-222-22-2-222-2-2-22220014i−4i2i3−2i32i3−2i31-1-111-1-10000000−i3i3−i3i3−2i2i−2i2i00−2323ii−i−i33−3−300000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-222-22-2-222-2-2-2222001−4i4i−2i32i3−2i32i31-1-111-1-10000000i3−i3i3−i32i−2i2i−2i00−2323−i−iii33−3−300000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-222-22-2-222-2-2-2222001−4i4i2i3−2i32i3−2i31-1-111-1-10000000−i3i3−i3i32i−2i2i−2i0023−23−i−iii−3−33300000000000000000000000000000000000000000
χ105888-88-8-8-8-4-4-444-44-4-4-44-44444002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-4-444-44444-44-44-4-400200000022-2-2-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-44-44444-4-4-44-4-4440020000002-22-2-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-888-8-88-4-44-4444-4444-44-4-4-4002000000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000

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