Finite Group Databasebeta

← Group #11817798

Character table — Group #11817798

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444412121212121212124444246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1-111-1-111-1-111-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-1-11111-1-111-1-111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-111111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1-1-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11
χ17222222222-1222-1-1-12-1-12-1-122-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-1222-1-1-12-1-12-1-122-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000111111110000-2011110000000000000
χ19222222222-1222-1-1-12-1-12-1-122-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-2221111-2-2-2-2-1-1-1-111111111-2-222000000-1-1-1-1-1-1-1-10000-2011110000000000000
χ20222222222-1222-1-1-12-1-12-1-122-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2221111-2-2-2-2-1-1-1-11111111122-2-200000011111111000020-1-1-1-10000000000000
χ21222222222-1222-1-1-12-1-12-1-122-1-2-222-1-1-1-1-1-1-111112222-2-2-2-1-11122-2-21111-1-1-1-1111122-2-2000000-1-1-1-111110000-20-1-1110000000000000
χ22222222222-1222-1-1-12-1-12-1-122-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-11122-2-21111-1-1-1-11111-2-2220000001111-1-1-1-100002011-1-10000000000000
χ23222222222-1222-1-1-12-1-12-1-122-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-1-1-2-22211111111-1-1-1-1-2-2-2-2000000-1-1-1-1111100002011-1-10000000000000
χ24222222222-1222-1-1-12-1-12-1-122-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-1-1-2-22211111111-1-1-1-122220000001111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-1-1222-122-122-1-1-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-1-1222-122-122-1-1-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-1-1222-122-122-1-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-2-2-21111-1-1-1-11111111100002222-2-20000000000000-2000011-1-1-1-11100000
χ2822222222-12-1-1-1222-122-122-1-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-2-2-21111-1-1-1-1111111110000-2-2-2-222000000000000020000-1-11111-1-100000
χ2922222222-12-1-1-1222-122-122-1-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-2-2-1-1111111-1-1-1-11111000022-2-2220000000000000-2000011-1-111-1-100000
χ3022222222-12-1-1-1222-122-122-1-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-2-2-1-1111111-1-1-1-111110000-2-222-2-2000000000000020000-1-111-1-11100000
χ3122222222-12-1-1-1222-122-122-1-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-22211-1-111111111-1-1-1-1000022-2-2-2-2000000000000020000-1-1-1-1111100000
χ3222222222-12-1-1-1222-122-122-1-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-22211-1-111111111-1-1-1-10000-2-222220000000000000-200001111-1-1-1-100000
χ33222-2-2-22-22222-22-2-2-2-22-22-22-22000022-2-2-2-220000000000000000000000000000000002-2002i−2i00000022-2-22i2i−2i−2i00000000002i−2i0000000
χ34222-2-2-22-22222-22-2-2-2-22-22-22-22000022-2-2-2-220000000000000000000000000000000002-200−2i2i00000022-2-2−2i−2i2i2i0000000000−2i2i0000000
χ35222-2-2-22-22222-22-2-2-2-22-22-22-22000022-2-2-2-22000000000000000000000000000000000-22002i−2i000000-2-222−2i−2i2i2i00000000002i−2i0000000
χ36222-2-2-22-22222-22-2-2-2-22-22-22-22000022-2-2-2-22000000000000000000000000000000000-2200−2i2i000000-2-2222i2i−2i−2i0000000000−2i2i0000000
χ3722-2-22-2-22222-2-222-222-2-2-2-2-222002i−2i2-22-2-22-200002i2i−2i−2i0002i−2i002i−2i0000002i2i−2i−2i00002-2000000002i2i−2i−2i00000000002-2000000000000000
χ3822-2-22-2-22222-2-222-222-2-2-2-2-222002i−2i2-22-2-22-20000−2i−2i2i2i0002i−2i002i−2i0000002i2i−2i−2i0000-2200000000−2i−2i2i2i0000000000-22000000000000000
χ3922-2-22-2-22222-2-222-222-2-2-2-2-22200−2i2i2-22-2-22-200002i2i−2i−2i000−2i2i00−2i2i000000−2i−2i2i2i0000-22000000002i2i−2i−2i0000000000-22000000000000000
χ4022-2-22-2-22222-2-222-222-2-2-2-2-22200−2i2i2-22-2-22-20000−2i−2i2i2i000−2i2i00−2i2i000000−2i−2i2i2i00002-200000000−2i−2i2i2i00000000002-2000000000000000
χ4122-2-22-2-222-12-2-2-1-112-11-211-22-1002i−2i-11-111-11−i3−i3i3i32i2i−2i−2i000−ii3−32i−2i00−i3−i3i3i3−i−iii33−3−32-200000000−i−iii3−33−3000000-11−i3i30000000000000
χ4222-2-22-2-222-12-2-2-1-112-11-211-22-1002i−2i-11-111-11−i3−i3i3i3−2i−2i2i2i000−ii3−32i−2i00−i3−i3i3i3−i−iii33−3−3-2200000000ii−i−i−33−330000001-1i3−i30000000000000
χ4322-2-22-2-222-12-2-2-1-112-11-211-22-1002i−2i-11-111-11i3i3−i3−i32i2i−2i−2i000−ii−332i−2i00i3i3−i3−i3−i−iii−3−3332-200000000−i−iii−33−33000000-11i3−i30000000000000
χ4422-2-22-2-222-12-2-2-1-112-11-211-22-1002i−2i-11-111-11i3i3−i3−i3−2i−2i2i2i000−ii−332i−2i00i3i3−i3−i3−i−iii−3−333-2200000000ii−i−i3−33−30000001-1−i3i30000000000000
χ4522-2-22-2-222-12-2-2-1-112-11-211-22-100−2i2i-11-111-11−i3−i3i3i32i2i−2i−2i000i−i−33−2i2i00−i3−i3i3i3ii−i−i−3−333-2200000000−i−iii3−33−30000001-1i3−i30000000000000
χ4622-2-22-2-222-12-2-2-1-112-11-211-22-100−2i2i-11-111-11−i3−i3i3i3−2i−2i2i2i000i−i−33−2i2i00−i3−i3i3i3ii−i−i−3−3332-200000000ii−i−i−33−33000000-11−i3i30000000000000
χ4722-2-22-2-222-12-2-2-1-112-11-211-22-100−2i2i-11-111-11i3i3−i3−i32i2i−2i−2i000i−i3−3−2i2i00i3i3−i3−i3ii−i−i33−3−3-2200000000−i−iii−33−330000001-1−i3i30000000000000
χ4822-2-22-2-222-12-2-2-1-112-11-211-22-100−2i2i-11-111-11i3i3−i3−i3−2i−2i2i2i000i−i3−3−2i2i00i3i3−i3−i3ii−i−i33−3−32-200000000ii−i−i3−33−3000000-11i3−i30000000000000
χ492-222-2-2-2222-22-2-222-2-2-222-2-2220000-2222-2-2-200002i−2i2i−2i0000000000000000000000000002i−2i00002i−2i2i−2i00002-22-2000000002i−2i000000000
χ502-222-2-2-2222-22-2-222-2-2-222-2-2220000-2222-2-2-200002i−2i2i−2i000000000000000000000000000−2i2i00002i−2i2i−2i0000-22-2200000000−2i2i000000000
χ512-222-2-2-2222-22-2-222-2-2-222-2-2220000-2222-2-2-20000−2i2i−2i2i0000000000000000000000000002i−2i0000−2i2i−2i2i0000-22-22000000002i−2i000000000
χ522-222-2-2-2222-22-2-222-2-2-222-2-2220000-2222-2-2-20000−2i2i−2i2i000000000000000000000000000−2i2i0000−2i2i−2i2i00002-22-200000000−2i2i000000000
χ532-22-222-2-222-222-2-2-222-2-222-2-222-200-22-2-222-22-22-2000002-2000000002-22-2000000000000000000000000002i−2i−2i2i00000000000000002i−2i0
χ542-22-222-2-222-222-2-2-222-2-222-2-222-200-22-2-222-22-22-2000002-2000000002-22-200000000000000000000000000−2i2i2i−2i0000000000000000−2i2i0
χ552-22-222-2-222-222-2-2-222-2-222-2-22-2200-22-2-222-2-22-2200000-2200000000-22-22000000000000000000000000002i−2i−2i2i0000000000000000−2i2i0
χ562-22-222-2-222-222-2-2-222-2-222-2-22-2200-22-2-222-2-22-2200000-2200000000-22-2200000000000000000000000000−2i2i2i−2i00000000000000002i−2i0
χ572-2-2-2-222222-2-22-22-2-2-22-2-222220000-2-22-22-2200002-2-2200000000000000000000000000000002-22-2-22000000000000000000002-22-2000
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χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-422-2-222-2-222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
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χ944-4-444-44-44-2-4-4-422-24-2-24224-4-20000222-22-2-22i3−2i3−2i32i30000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000
χ954-4-444-44-4-24222-4-44-244-2-4-4-22-20000222-22-2-200000000000000000−2i32i300000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ964-4-444-44-4-24222-4-44-244-2-4-4-22-20000222-22-2-2000000000000000002i3−2i3000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ974-4-444-44-4-2-222222-2-2-2-2-222-2210000-1-1-11-111−2i32i32i3−2i30000000000000−2i32i3i3−i3−i3i3-333-3i3−i3−i3i300000000000000000000000000000000000000000
χ984-4-444-44-4-2-222222-2-2-2-2-222-2210000-1-1-11-111−2i32i32i3−2i300000000000002i3−2i3i3−i3−i3i33-3-33−i3i3i3−i300000000000000000000000000000000000000000
χ994-4-444-44-4-2-222222-2-2-2-2-222-2210000-1-1-11-1112i3−2i3−2i32i30000000000000−2i32i3−i3i3i3−i33-3-33i3−i3−i3i300000000000000000000000000000000000000000
χ1004-4-444-44-4-2-222222-2-2-2-2-222-2210000-1-1-11-1112i3−2i3−2i32i300000000000002i3−2i3−i3i3i3−i3-333-3−i3i3i3−i300000000000000000000000000000000000000000
χ1014-4-4-4-44444-2-4-442-22-42-2-42-244-2000022-22-22-200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ1024-4-4-4-44444-2-4-442-22-42-2-42-244-2000022-22-22-20000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ1034-4-4-4-4444-2422-2-44-42-442-44-2-2-2000022-22-22-20000000000000000000000000000000000000004-4000000000000000000000000-2200000
χ1044-4-4-4-4444-2422-2-44-42-442-44-2-2-2000022-22-22-2000000000000000000000000000000000000000-440000000000000000000000002-200000
χ105888-8-8-88-8-4-4-4-44-44444-44-44-442000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-88-8-8-4-4-44-4-44-4444-44-444200002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-44-444-4-4444-4-444-420000-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8-8888-4-444-44-4444-444-4-4-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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