Finite Group Databasebeta

← Group #11817755

Character table — Group #11817755

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444466661212121244444412121212121212121212121244442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1111111-1-11
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-11111-1-111-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-11111-1
χ17222222222-1222-1-1-1-1222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-122222-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000002-1-1-1-10000000000000
χ18222222222-1222-1-1-1-1222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000001111111100000-211110000000000000
χ19222222222-1222-1-1-1-1222-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-21122-2-211-2-21111-1-1-1-1111122-2-2000000-1-1-1-1-1-1-1-100000-211110000000000000
χ20222222222-1222-1-1-1-1222-1-1-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-21122-2-211-2-21111-1-1-1-11111-2-22200000011111111000002-1-1-1-10000000000000
χ21222222222-1222-1-1-1-1222-1-1-12-1-2-222-1-1-1-1-1-1-111112222-211-2-222-1-1-2-211111111-1-1-1-1-2-2220000001111-1-1-1-100000-2-1-1110000000000000
χ22222222222-1222-1-1-1-1222-1-1-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-211-2-222-1-1-2-211111111-1-1-1-122-2-2000000-1-1-1-1111100000211-1-10000000000000
χ23222222222-1222-1-1-1-1222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-1-1-2-2-2-21122-1-1-1-111111111-2-2-2-20000001111-1-1-1-100000211-1-10000000000000
χ24222222222-1222-1-1-1-1222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-1-1-2-2-2-21122-1-1-1-1111111112222000000-1-1-1-1111100000-2-1-1110000000000000
χ2522222222-12-1-1-12222-1-1-1222-1-12222-1-1-1-1-1-1-122220000222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222000000000000200000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-12222-1-1-1222-1-12222-1-1-1-1-1-1-122220000222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000000000-2000001111111100000
χ2722222222-12-1-1-12222-1-1-1222-1-122-2-2-1-1-1-1-1-1-122220000-2-2-2-1-111-2-2111111-1-1-1-11111000022-2-2-2-2000000000000200000-1-1-1-1111100000
χ2822222222-12-1-1-12222-1-1-1222-1-122-2-2-1-1-1-1-1-1-122220000-2-2-2-1-111-2-2111111-1-1-1-111110000-2-22222000000000000-2000001111-1-1-1-100000
χ2922222222-12-1-1-12222-1-1-1222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-211-1-1221111111111-1-1-1-100002222-2-2000000000000-200000-1-111-1-11100000
χ3022222222-12-1-1-12222-1-1-1222-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-211-1-1221111111111-1-1-1-10000-2-2-2-22200000000000020000011-1-111-1-100000
χ3122222222-12-1-1-12222-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002221111-2-2-1-1-1-1-1-111111111000022-2-222000000000000-200000-1-11111-1-100000
χ3222222222-12-1-1-12222-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002221111-2-2-1-1-1-1-1-1111111110000-2-222-2-200000000000020000011-1-1-1-11100000
χ33222-2-2-22-22222-22-2-22-2-2-22-2-222002i−2i22-2-2-22-200002i2i−2i−2i000002i−2i2i−2i00000000002i2i−2i−2i002-200000000002i2i−2i−2i0000002-2000000000000000
χ34222-2-2-22-22222-22-2-22-2-2-22-2-222002i−2i22-2-2-22-20000−2i−2i2i2i000002i−2i2i−2i00000000002i2i−2i−2i00-220000000000−2i−2i2i2i000000-22000000000000000
χ35222-2-2-22-22222-22-2-22-2-2-22-2-22200−2i2i22-2-2-22-200002i2i−2i−2i00000−2i2i−2i2i0000000000−2i−2i2i2i00-2200000000002i2i−2i−2i000000-22000000000000000
χ36222-2-2-22-22222-22-2-22-2-2-22-2-22200−2i2i22-2-2-22-20000−2i−2i2i2i00000−2i2i−2i2i0000000000−2i−2i2i2i002-20000000000−2i−2i2i2i0000002-2000000000000000
χ37222-2-2-22-22-122-2-111-1-2-2-2-1112-1002i−2i-1-1111-1133−3−32i2i−2i−2i0−i3i3002i−2i−ii00−i3−i3i3i333−3−3−i−iii002-2000000−i3−i3i3i3−i−iii000000-113−30000000000000
χ38222-2-2-22-22-122-2-111-1-2-2-2-1112-1002i−2i-1-1111-1133−3−3−2i−2i2i2i0−i3i3002i−2i−ii00−i3−i3i3i333−3−3−i−iii00-22000000i3i3−i3−i3ii−i−i0000001-1−330000000000000
χ39222-2-2-22-22-122-2-111-1-2-2-2-1112-1002i−2i-1-1111-11−3−3332i2i−2i−2i0i3−i3002i−2i−ii00i3i3−i3−i3−3−333−i−iii002-2000000i3i3−i3−i3−i−iii000000-11−330000000000000
χ40222-2-2-22-22-122-2-111-1-2-2-2-1112-1002i−2i-1-1111-11−3−333−2i−2i2i2i0i3−i3002i−2i−ii00i3i3−i3−i3−3−333−i−iii00-22000000−i3−i3i3i3ii−i−i0000001-13−30000000000000
χ41222-2-2-22-22-122-2-111-1-2-2-2-1112-100−2i2i-1-1111-1133−3−32i2i−2i−2i0i3−i300−2i2ii−i00i3i3−i3−i333−3−3ii−i−i00-22000000−i3−i3i3i3−i−iii0000001-1−330000000000000
χ42222-2-2-22-22-122-2-111-1-2-2-2-1112-100−2i2i-1-1111-1133−3−3−2i−2i2i2i0i3−i300−2i2ii−i00i3i3−i3−i333−3−3ii−i−i002-2000000i3i3−i3−i3ii−i−i000000-113−30000000000000
χ43222-2-2-22-22-122-2-111-1-2-2-2-1112-100−2i2i-1-1111-11−3−3332i2i−2i−2i0−i3i300−2i2ii−i00−i3−i3i3i3−3−333ii−i−i00-22000000i3i3−i3−i3−i−iii0000001-13−30000000000000
χ44222-2-2-22-22-122-2-111-1-2-2-2-1112-100−2i2i-1-1111-11−3−333−2i−2i2i2i0−i3i300−2i2ii−i00−i3−i3i3i3−3−333ii−i−i002-2000000−i3−i3i3i3ii−i−i000000-11−330000000000000
χ4522-2-222-2-2222-2-22-2-2-222-2-222-2200002-22-2-2-2200000000000000000000000000000002-20000002i−2i2-22-200002i2i−2i−2i0000000000002i−2i00000
χ4622-2-222-2-2222-2-22-2-2-222-2-222-2200002-22-2-2-2200000000000000000000000000000002-2000000−2i2i2-22-20000−2i−2i2i2i000000000000−2i2i00000
χ4722-2-222-2-2222-2-22-2-2-222-2-222-2200002-22-2-2-220000000000000000000000000000000-220000002i−2i-22-220000−2i−2i2i2i0000000000002i−2i00000
χ4822-2-222-2-2222-2-22-2-2-222-2-222-2200002-22-2-2-220000000000000000000000000000000-22000000−2i2i-22-2200002i2i−2i−2i000000000000−2i2i00000
χ492-2222-2-2-222-22-2-22-2-22-222-22-220000-22-22-2-2200002-22-2000000000000000000000000000002i−2i0000002-22-22i−2i2i−2i00000000002i−2i0000000
χ502-2222-2-2-222-22-2-22-2-22-222-22-220000-22-22-2-2200002-22-200000000000000000000000000000−2i2i0000002-22-2−2i2i−2i2i0000000000−2i2i0000000
χ512-2222-2-2-222-22-2-22-2-22-222-22-220000-22-22-2-220000-22-22000000000000000000000000000002i−2i000000-22-22−2i2i−2i2i00000000002i−2i0000000
χ522-2222-2-2-222-22-2-22-2-22-222-22-220000-22-22-2-220000-22-2200000000000000000000000000000−2i2i000000-22-222i−2i2i−2i0000000000−2i2i0000000
χ532-22-2-22-2222-222-2-22-2-22-222-2-220000-222-22-2-200002i−2i−2i2i0000000000000000000000000002-2000000002i−2i−2i2i00000000002-20000002i−2i000
χ542-22-2-22-2222-222-2-22-2-22-222-2-220000-222-22-2-200002i−2i−2i2i000000000000000000000000000-22000000002i−2i−2i2i0000000000-22000000−2i2i000
χ552-22-2-22-2222-222-2-22-2-22-222-2-220000-222-22-2-20000−2i2i2i−2i0000000000000000000000000002-200000000−2i2i2i−2i00000000002-2000000−2i2i000
χ562-22-2-22-2222-222-2-22-2-22-222-2-220000-222-22-2-20000−2i2i2i−2i000000000000000000000000000-2200000000−2i2i2i−2i0000000000-220000002i−2i000
χ572-2-2-22-22222-2-22-2-2222-2-2-2-22222-200-2-2-2-22222-22-200000002-200000000002-22-200000000000000000000002-2-2200000000000000002-20
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χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-422-2-2222222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-42222-2-2-2-222-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000
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χ944-4-44-444-4-2-22222-22-22-2-22-22-210000-1-111-11-123−23−232300000000000002i3−2i3−i3i3−i3i3−333−3−3i3i−3i3i00000000000000000000000000000000000000000
χ954-4-44-444-4-2-22222-22-22-2-22-22-210000-1-111-11-1−232323−230000000000000−2i32i3i3−i3i3−i33−3−33−3i3i−3i3i00000000000000000000000000000000000000000
χ964-4-44-444-4-2-22222-22-22-2-22-22-210000-1-111-11-1−232323−2300000000000002i3−2i3−i3i3−i3i33−3−333i−3i3i−3i00000000000000000000000000000000000000000
χ974-4-4-44-4444-2-4-4422-2-24-4-422-24-24-4002222-2-2-2-22-2200000004-40000000000-22-22000000000000000000000000000000000000000000000
χ984-4-4-44-4444-2-4-4422-2-24-4-422-24-2-44002222-2-2-22-22-20000000-4400000000002-22-2000000000000000000000000000000000000000000000
χ994-4-4-44-444-2422-2-4-444-222-4-44-2-24-4002222-2-2-24-44-40000000-220000000000-22-22000000000000000000000000000000000000000000000
χ1004-4-4-44-444-2422-2-4-444-222-4-44-2-2-44002222-2-2-2-44-4400000002-200000000002-22-2000000000000000000000000000000000000000000000
χ1014-4-4-44-444-2-222-222-2-2-22222-2-214-400-1-1-1-1111-22-220000000-220000003-3-331-11-1-333-300000000000000000000000000000000000000000
χ1024-4-4-44-444-2-222-222-2-2-22222-2-214-400-1-1-1-1111-22-220000000-22000000-333-31-11-13-3-3300000000000000000000000000000000000000000
χ1034-4-4-44-444-2-222-222-2-2-22222-2-21-4400-1-1-1-11112-22-200000002-20000003-3-33-11-113-3-3300000000000000000000000000000000000000000
χ1044-4-4-44-444-2-222-222-2-2-22222-2-21-4400-1-1-1-11112-22-200000002-2000000-333-3-11-11-333-300000000000000000000000000000000000000000
χ10588-88-8-8-88-4-4-44-4-4-4-4444-44444200002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-888-8-8-4-4-444-4444-4-444-4-44200002-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8888-8-8-8-4-44-444-444-44-4-44-4420000-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-88-88-4-44-4-444-444-44-4-44420000-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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