Finite Group Databasebeta

← Group #11817834

Character table — Group #11817834

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order12222222336666666666666622344666666612121212444446666666612121212121212121212121212124444444444121212121212121244444412121212121212121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-111-1-11
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1111-1-111-1-1-1-11111-1-11
χ9111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1
χ10111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11-1-1-1-1-111-1-111-1-1-1-1111
χ11111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1111
χ12111111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1-1-1
χ13111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1
χ14111111111111111111111111-1-11-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11
χ15111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11
χ16111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11111111111-1
χ17222222222-1222-1-12-122-1-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000220022-1-1-1-1-1-1-1-1000002-1-10000-1-1000000000
χ18222222222-1222-1-12-122-1-1-1-1222-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000-2-200-2-21111111100000-211000011000000000
χ19222222222-1222-1-12-122-1-1-1-1222-1-2-2-1-1-1-1-1-1-111112222-222-1-1-1-1-1-1-2-211-2-21111111100002200-2-2-1-1-1-1111100000-2110000-1-1000000000
χ20222222222-1222-1-12-122-1-1-1-1222-1-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-1-1-1-1-2-211-2-2111111110000-2-200221111-1-1-1-1000002-1-1000011000000000
χ21222222222-1222-1-12-122-1-1-1-12-2-2-122-1-1-1-1-1-1-1-1-1-1-12222-2-2-2111111-2-21122-1-1-1-111110000-2-20022-1-1-1-1-1-1-1-100000-211000011000000000
χ22222222222-1222-1-12-122-1-1-1-12-2-2-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2111111-2-21122-1-1-1-1111100002200-2-211111111000002-1-10000-1-1000000000
χ23222222222-1222-1-12-122-1-1-1-12-2-2-1-2-2-1-1-1-1-1-1-1111122222-2-211111122-1-1-2-21111-1-1-1-10000-2-200-2-2-1-1-1-11111000002-1-1000011000000000
χ24222222222-1222-1-12-122-1-1-1-12-2-2-1-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211111122-1-1-2-21111-1-1-1-100002200221111-1-1-1-100000-2110000-1-1000000000
χ2522222222-12-1-1-122-12-1-12222-122-122-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122220022000000000000002000-1-1-1-100-1-1-1-100000
χ2622222222-12-1-1-122-12-1-12222-122-122-1-1-1-1-1-1-1222200002-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-200000000000000-2000111100111100000
χ2722222222-12-1-1-122-12-1-12222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-111-2-2111111111122-2-200-2-2000000000000002000-1-11100-1-11100000
χ2822222222-12-1-1-122-12-1-12222-122-1-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-122-1-1-1-111-2-21111111111-2-222002200000000000000-200011-1-10011-1-100000
χ2922222222-12-1-1-122-12-1-12222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-2111111-2-2-1-1-1-1-1-1111122-2-2002200000000000000-2000-1-1110011-1-100000
χ3022222222-12-1-1-122-12-1-12222-1-2-2-122-1-1-1-1-1-1-122220000-211-2-2111111-2-2-1-1-1-1-1-11111-2-22200-2-200000000000000200011-1-100-1-11100000
χ3122222222-12-1-1-122-12-1-12222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21111-1-122111111-1-1-1-1222200-2-200000000000000-2000-1-1-1-100111100000
χ3222222222-12-1-1-122-12-1-12222-1-2-2-1-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21111-1-122111111-1-1-1-1-2-2-2-20022000000000000002000111100-1-1-1-100000
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χ3522-22-22-2-2222-2-222-2-22-2-2-2-2220020022-2-2-22-20000000000000000000000000000000-220000002i−2i00002i2i−2i−2i−2i−2i2i2i0000-220000000000000
χ3622-22-22-2-2222-2-222-2-22-2-2-2-2220020022-2-2-22-20000000000000000000000000000000-22000000−2i2i0000−2i−2i2i2i2i2i−2i−2i0000-220000000000000
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χ4022-2-2-2-222222222-2-2-2-2-222-2-2-2-222002-222-2-2-20000−2i−2i2i2i0-22-22-2-2220000000000000000002i−2i0000−2i−2i2i2i00000000000000002i−2i000000000
χ4122-2-2-2-2222-1222-11-21-2-2-1-111-22-2-100-11-1-111133−3−32i2i−2i−2i02-2-11-1-111003−30033−3−333−3−300002i−2i0000−i−iii−i3i3−i3i3000000−i3i30000−ii000000000
χ4222-2-2-2-2222-1222-11-21-2-2-1-111-22-2-100-11-1-111133−3−3−2i−2i2i2i02-2-11-1-111003−30033−3−333−3−30000−2i2i0000ii−i−ii3−i3i3−i3000000i3−i30000i−i000000000
χ4322-2-2-2-2222-1222-11-21-2-2-1-111-22-2-100-11-1-1111−3−3332i2i−2i−2i02-2-11-1-11100−3300−3−333−3−33300002i−2i0000−i−iiii3−i3i3−i3000000i3−i30000−ii000000000
χ4422-2-2-2-2222-1222-11-21-2-2-1-111-22-2-100-11-1-1111−3−333−2i−2i2i2i02-2-11-1-11100−3300−3−333−3−3330000−2i2i0000ii−i−i−i3i3−i3i3000000−i3i30000i−i000000000
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χ4822-2-2-2-2222-1222-11-21-2-2-1-111-2-22-100-11-1-1111−3−333−2i−2i2i2i0-221-111-1-1003−300−3−33333−3−300002i−2i0000ii−i−i−i3i3−i3i3000000i3−i30000−ii000000000
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χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441441111111-2-2-2-200004-2-2-2-21111-2-2-2-2-2-21111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4111111122220000-4-2-2-2-21111222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
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χ944-4-444-44-44-2-4-442-2-42442-2-22-400-2−4i4i2-22-2-2222i−2i2i−2i00000000000000000−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000
χ954-4-444-44-4-2422-2-442-4-2-2-444-4200-24i−4i2-22-2-2224i−4i4i−4i00000000000000000−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000
χ964-4-444-44-4-2422-2-442-4-2-2-444-4200-2−4i4i2-22-2-222−4i4i−4i4i000000000000000002i−2i2i−2i2i−2i000000000000000000000000000000000000000000000
χ974-4-444-44-4-2-222-22-222-2-22-2-2220014i−4i-11-111-1-1−2i2i−2i2i0000000003-3-330000−2i2ii−ii−i−3i3i3i−3i00000000000000000000000000000000000000000
χ984-4-444-44-4-2-222-22-222-2-22-2-2220014i−4i-11-111-1-1−2i2i−2i2i000000000-333-30000−2i2ii−ii−i3i−3i−3i3i00000000000000000000000000000000000000000
χ994-4-444-44-4-2-222-22-222-2-22-2-222001−4i4i-11-111-1-12i−2i2i−2i0000000003-3-3300002i−2i−ii−ii3i−3i−3i3i00000000000000000000000000000000000000000
χ1004-4-444-44-4-2-222-22-222-2-22-2-222001−4i4i-11-111-1-12i−2i2i−2i000000000-333-300002i−2i−ii−ii−3i3i3i−3i00000000000000000000000000000000000000000
χ1014-4-4-444-444-2-44-422-42-44-22-2-2400-20022-22-2-2200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1024-4-4-444-444-2-44-422-42-44-22-2-2400-20022-22-2-220000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ1034-4-4-444-44-242-22-4-42-42-24-444-200-20022-22-2-220000000000000000000000000000000004-4000000000000000000000000-2200000000000
χ1044-4-4-444-44-242-22-4-42-42-24-444-200-20022-22-2-22000000000000000000000000000000000-440000000000000000000000002-200000000000
χ105888-88-8-8-8-4-4-444-44-4-44-444-444002002-2-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-88-8-8-4-4-444-4-444-44444-4-40020022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-44-444-4-4-4-44-4444400200-222-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-44-4444444-4-44-4-4-400200-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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