Finite Group Databasebeta

← Group #11812911

Character table — Group #11812911

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666223446666666666644444666666121212121212121212121212121212124444444444121212121212121222224412121212121212121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1
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
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-11
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111-1
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-111-1
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1111111-1-11
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-11111-1
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1-1-11
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1111111-1
χ17222222222-1222-1-12-122-1-1-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12200220022000000000000020000-1-1-1-1-1-1-1-100000
χ18222222222-1222-1-12-122-1-1-1-1222-1222222-1-1-1-1-1-1-100002-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-2-200-2-200-2-20000000000000-200001111111100000
χ19222222222-1222-1-12-122-1-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-21111-2-2111111112200-2-200220000000000000-20000-1-11111-1-100000
χ20222222222-1222-1-12-122-1-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-1-1-1-1-2-21111-2-211111111-2-2002200-2-200000000000002000011-1-1-1-11100000
χ21222222222-1222-1-12-122-1-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-2111111-2-211-1-122-1-1-1-111112200-2-200-2-2000000000000020000-1-1-1-1111100000
χ22222222222-1222-1-12-122-1-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-2111111-2-211-1-122-1-1-1-11111-2-2002200220000000000000-200001111-1-1-1-100000
χ23222222222-1222-1-12-122-1-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-10000211111122-1-111-2-21111-1-1-1-122002200-2-20000000000000-20000-1-111-1-11100000
χ24222222222-1222-1-12-122-1-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-10000211111122-1-111-2-21111-1-1-1-1-2-200-2-2002200000000000002000011-1-111-1-100000
χ2522222222-12-1-1-122-12-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-10022002200-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ2622222222-12-1-1-122-12-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-100-2-200-2-200111111110000-2011110000000000000
χ2722222222-12-1-1-122-12-1-12222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-1-1-1-111-2-2-2-2111111111100-2-2002200-1-1-1-1-1-1-1-10000-2011110000000000000
χ2822222222-12-1-1-122-12-1-12222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-1-1-1-111-2-2-2-21111111111002200-2-20011111111000020-1-1-1-10000000000000
χ2922222222-12-1-1-122-12-1-12222-1-2-2-1221111-1-1-1-1-1-1-12222-2-2-2111111-2-222-1-1-1-1-1-11111002200-2-200-1-1-1-111110000-20-1-1110000000000000
χ3022222222-12-1-1-122-12-1-12222-1-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-2-2-2111111-2-222-1-1-1-1-1-1111100-2-20022001111-1-1-1-100002011-1-10000000000000
χ3122222222-12-1-1-122-12-1-12222-1-2-2-1-2-21111-1-1-1-1-1-1-122222-2-21111-1-122-2-2111111-1-1-1-100-2-200-2-200-1-1-1-1111100002011-1-10000000000000
χ3222222222-12-1-1-122-12-1-12222-1-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-22-2-21111-1-122-2-2111111-1-1-1-100220022001111-1-1-1-10000-20-1-1110000000000000
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χ372-222-22-2-222-22-2-22-2-22222-2-2-20022i−2i00002-222-2-2-22i−2i2i−2i000000000002i−2i2i−2i2i2i−2i−2i0000002-20000002i−2i2i−2i00000000002-2000000000000000
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χ402-222-22-2-222-22-2-22-2-22222-2-2-2002−2i2i00002-222-2-2-2−2i2i−2i2i00000000000−2i2i−2i2i−2i−2i2i2i0000002-2000000−2i2i−2i2i00000000002-2000000000000000
χ412-222-22-2-2-121-11-221-2-1-122-2-2100-12i−2i−i3−i3i3i3-11-1-11112i−2i2i−2i000−i3−i3i3i33−3002i−2i−ii−i−iii33−3−3002-2000000−ii−ii33−3−3000000-11−i3i30000000000000
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χ432-222-22-2-2-121-11-221-2-1-122-2-2100-12i−2ii3i3−i3−i3-11-1-11112i−2i2i−2i000i3i3−i3−i3−33002i−2i−ii−i−iii−3−333002-2000000−ii−ii−3−333000000-11i3−i30000000000000
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χ964-4-44-4-444-242-22-4-4-2422-44-44-2-44-2002-22-2222-22-2-200000-442-22-2000000000000000000000000000000000000000000000000000000000
χ974-4-44-4-444-2-22-2222-2-2222-22-2-24-4100-22-22-1-1-11-11100000-221-11-1000000003-3-33-333-300000000000000000000000000000000000000000
χ984-4-44-4-444-2-22-2222-2-2222-22-2-24-4100-22-22-1-1-11-11100000-221-11-100000000-333-33-3-3300000000000000000000000000000000000000000
χ994-4-44-4-444-2-22-2222-2-2222-22-2-2-441002-22-2-1-1-11-111000002-2-11-11000000003-3-333-3-3300000000000000000000000000000000000000000
χ1004-4-44-4-444-2-22-2222-2-2222-22-2-2-441002-22-2-1-1-11-111000002-2-11-1100000000-333-3-333-300000000000000000000000000000000000000000
χ1014-4-4-444-444-2-4-4422-424-4-22-2-2400-2000000-2222-22-200000000000000000000000000000004-400000000000000000000000000-220000000
χ1024-4-4-444-444-2-4-4422-424-4-22-2-2400-2000000-2222-22-20000000000000000000000000000000-44000000000000000000000000002-20000000
χ1034-4-4-444-44-2422-2-4-42-4-224-444-200-2000000-2222-22-24-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1044-4-4-444-44-2422-2-4-42-4-224-444-200-2000000-2222-22-2-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ105888-8-8-8-88-4-4-444-4-4444-4444-4-4002000000-222-2-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-444-44-4-4-44-4444400200000022-2-2-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-88-88-8-4-444-44-4-4-44-444-444002000000-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444-44444-44-44-4-4-40020000002-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000

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