Finite Group Databasebeta

← Group #11819176

Character table — Group #11819176

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212122222412121212121212121212121212121212121212121212444444444466661212121244444412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-11111-1-1-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-11
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-111-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111111111-1
χ17222222222-122-1-122-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ18222222222-122-1-122-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2011110000000000000
χ19222222222-122-1-122-1-12-1-12-12-122-2-2-1-1-1-1-1-1-111112222-222-1-1-2-211-2-2-1-1-1-111111111-2-200220000-1-1-1-111110000-20-1-1110000000000000
χ20222222222-122-1-122-1-12-1-12-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-222-1-1-2-211-2-2-1-1-1-1111111112200-2-200001111-1-1-1-100002011-1-10000000000000
χ21222222222-122-1-122-1-12-1-12-12-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2112211-2-21111-1-1-1-111112200-2-20000-1-1-1-1-1-1-1-10000-2011110000000000000
χ22222222222-122-1-122-1-12-1-12-12-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2112211-2-21111-1-1-1-11111-2-20022000011111111000020-1-1-1-10000000000000
χ23222222222-122-1-122-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-2-1-12211111111-1-1-1-1-2-200-2-20000-1-1-1-1111100002011-1-10000000000000
χ24222222222-122-1-122-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-2-1-12211111111-1-1-1-122002200001111-1-1-1-10000-20-1-1110000000000000
χ2522222222-12-1-122-1-122-122-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002222000000000000020000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-122-1-122-122-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000000000000-200001111111100000
χ2722222222-12-1-122-1-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-12211-2-211-1-1-1-11111111100220022-2-20000000000000-2000011-1-1-1-11100000
χ2822222222-12-1-122-1-122-122-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-12211-2-211-1-1-1-11111111100-2-200-2-222000000000000020000-1-11111-1-100000
χ2922222222-12-1-122-1-122-122-12-1-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-1-2-2111111-1-1-1-11111002200-2-2-2-200000000000002000011-1-111-1-100000
χ3022222222-12-1-122-1-122-122-12-1-1-2-222-1-1-1-1-1-1-122220000-211-2-2-1-1-2-2111111-1-1-1-1111100-2-20022220000000000000-20000-1-111-1-11100000
χ3122222222-12-1-122-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-1002200-2-2220000000000000-20000-1-1-1-1111100000
χ3222222222-12-1-122-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-21122-1-111111111-1-1-1-100-2-20022-2-20000000000000200001111-1-1-1-100000
χ33222-2-2-22-222-2-2-2-2222-222-2-22-2200002-2-2-222-2000022-2-200000000000000000000000002i−2i00000022-2-200000000000000002i−2i00002i−2i000
χ34222-2-2-22-222-2-2-2-2222-222-2-22-2200002-2-2-222-2000022-2-20000000000000000000000000−2i2i00000022-2-20000000000000000−2i2i0000−2i2i000
χ35222-2-2-22-222-2-2-2-2222-222-2-22-2200002-2-2-222-20000-2-22200000000000000000000000002i−2i000000-2-22200000000000000002i−2i0000−2i2i000
χ36222-2-2-22-222-2-2-2-2222-222-2-22-2200002-2-2-222-20000-2-2220000000000000000000000000−2i2i000000-2-2220000000000000000−2i2i00002i−2i000
χ3722-2-2-22-22222-22-22-22-2-2-22-2-222002i−2i-222-22-2-22i2i−2i−2i0000000002i−2i000000002i2i−2i−2i000000000000000000000022-2-200000000000000002i−2i0
χ3822-2-2-22-22222-22-22-22-2-2-22-2-222002i−2i-222-22-2-22i2i−2i−2i0000000002i−2i000000002i2i−2i−2i0000000000000000000000-2-2220000000000000000−2i2i0
χ3922-2-2-22-22222-22-22-22-2-2-22-2-22200−2i2i-222-22-2-2−2i−2i2i2i000000000−2i2i00000000−2i−2i2i2i000000000000000000000022-2-20000000000000000−2i2i0
χ4022-2-2-22-22222-22-22-22-2-2-22-2-22200−2i2i-222-22-2-2−2i−2i2i2i000000000−2i2i00000000−2i−2i2i2i0000000000000000000000-2-22200000000000000002i−2i0
χ412-222-22-2-2222-2-2-2-22-22-2-2222-220000-22-2-2-22200002-22-2000000000000000000000000000002i−2i002-22-200002i−2i2i−2i00000000002i−2i0000000
χ422-222-22-2-2222-2-2-2-22-22-2-2222-220000-22-2-2-22200002-22-200000000000000000000000000000−2i2i002-22-20000−2i2i−2i2i0000000000−2i2i0000000
χ432-222-22-2-2222-2-2-2-22-22-2-2222-220000-22-2-2-2220000-22-22000000000000000000000000000002i−2i00-22-220000−2i2i−2i2i00000000002i−2i0000000
χ442-222-22-2-2222-2-2-2-22-22-2-2222-220000-22-2-2-2220000-22-2200000000000000000000000000000−2i2i00-22-2200002i−2i2i−2i0000000000−2i2i0000000
χ452-22-22-2-2222-2222-22-2-2-2-2-2-22222i−2i00-2-222-22-200002-2-2202i−2i2i−2i0000002i2i−2i−2i0000000000002i−2i00002-2-2200000000002i−2i000000000000000
χ462-22-22-2-2222-2222-22-2-2-2-2-2-22222i−2i00-2-222-22-20000-222-202i−2i2i−2i0000002i2i−2i−2i000000000000−2i2i0000-222-20000000000−2i2i000000000000000
χ472-22-22-2-2222-2222-22-2-2-2-2-2-2222−2i2i00-2-222-22-200002-2-220−2i2i−2i2i000000−2i−2i2i2i000000000000−2i2i00002-2-220000000000−2i2i000000000000000
χ482-22-22-2-2222-2222-22-2-2-2-2-2-2222−2i2i00-2-222-22-20000-222-20−2i2i−2i2i000000−2i−2i2i2i0000000000002i−2i0000-222-200000000002i−2i000000000000000
χ492-22-22-2-222-1-22-1-1-2211-211-2-12-12i−2i0011-1-11-11−i3i3−i3i32-2-2202i−2i−ii003−300−i−iii−i3i3−i3i333−3−300002i−2i0000-111-1−i3−i3i3i3000000−ii3−30000000000000
χ502-22-22-2-222-1-22-1-1-2211-211-2-12-12i−2i0011-1-11-11−i3i3−i3i3-222-202i−2i−ii003−300−i−iii−i3i3−i3i333−3−30000−2i2i00001-1-11i3i3−i3−i3000000i−i−330000000000000
χ512-22-22-2-222-1-22-1-1-2211-211-2-12-12i−2i0011-1-11-11i3−i3i3−i32-2-2202i−2i−ii00−3300−i−iiii3−i3i3−i3−3−33300002i−2i0000-111-1i3i3−i3−i3000000−ii−330000000000000
χ522-22-22-2-222-1-22-1-1-2211-211-2-12-12i−2i0011-1-11-11i3−i3i3−i3-222-202i−2i−ii00−3300−i−iiii3−i3i3−i3−3−3330000−2i2i00001-1-11−i3−i3i3i3000000i−i3−30000000000000
χ532-22-22-2-222-1-22-1-1-2211-211-2-12-1−2i2i0011-1-11-11−i3i3−i3i32-2-220−2i2ii−i00−3300ii−i−i−i3i3−i3i3−3−3330000−2i2i0000-111-1−i3−i3i3i3000000i−i−330000000000000
χ542-22-22-2-222-1-22-1-1-2211-211-2-12-1−2i2i0011-1-11-11−i3i3−i3i3-222-20−2i2ii−i00−3300ii−i−i−i3i3−i3i3−3−33300002i−2i00001-1-11i3i3−i3−i3000000−ii3−30000000000000
χ552-22-22-2-222-1-22-1-1-2211-211-2-12-1−2i2i0011-1-11-11i3−i3i3−i32-2-220−2i2ii−i003−300ii−i−ii3−i3i3−i333−3−30000−2i2i0000-111-1i3i3−i3−i3000000i−i3−30000000000000
χ562-22-22-2-222-1-22-1-1-2211-211-2-12-1−2i2i0011-1-11-11i3−i3i3−i3-222-20−2i2ii−i003−300ii−i−ii3−i3i3−i333−3−300002i−2i00001-1-11−i3−i3i3i3000000−ii−330000000000000
χ572-2-2-2222-22222-22-2-2-2-2222-2-2-22000022-22-2-2-200000000000000000000000000000002i−2i0000002-200002i−2i2i−2i2i−2i−2i2i0000002-200000000000
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χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4111111122220000-4-2-2-2-22222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
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χ934-4-44-4-4444-2-4-4-22-4-42-24-22424-20000-22-2222-223−23−2323000000000000000000023−23−2323000000000000000000000000000000000000000000000
χ944-4-44-4-4444-2-4-4-22-4-42-24-22424-20000-22-2222-2−232323−230000000000000000000−232323−23000000000000000000000000000000000000000000000
χ954-4-44-4-444-24224-422-44-24-4-2-4-2-20000-22-2222-200000000000000000−2i32i300000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ964-4-44-4-444-24224-422-44-24-4-2-4-2-20000-22-2222-2000000000000000002i3−2i3000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ974-4-44-4-444-2-222-22222-2-2-22-22-2100001-11-1-1-1123−23−23230000000000000−2i32i33i−3i−3i3i−333−3i3−i3−i3i300000000000000000000000000000000000000000
χ984-4-44-4-444-2-222-22222-2-2-22-22-2100001-11-1-1-1123−23−232300000000000002i3−2i3−3i3i3i−3i−333−3−i3i3i3−i300000000000000000000000000000000000000000
χ994-4-44-4-444-2-222-22222-2-2-22-22-2100001-11-1-1-11−232323−230000000000000−2i32i3−3i3i3i−3i3−3−33i3−i3−i3i300000000000000000000000000000000000000000
χ1004-4-44-4-444-2-222-22222-2-2-22-22-2100001-11-1-1-11−232323−2300000000000002i3−2i33i−3i−3i3i3−3−33−i3i3i3−i300000000000000000000000000000000000000000
χ1014-4-4-4444-44-2442-2-4-4224-2-2-42-4-20000-2-22-222200000000000000000000000000000004i−4i000000000000−2i2i−2i2i00000000000000000000000
χ1024-4-4-4444-44-2442-2-4-4224-2-2-42-4-20000-2-22-22220000000000000000000000000000000−4i4i0000000000002i−2i2i−2i00000000000000000000000
χ1034-4-4-4444-4-24-2-2-4422-4-4-2442-42-20000-2-22-22220000000000000000000000000000000000000004-4000000000000000000-2200000000000
χ1044-4-4-4444-4-24-2-2-4422-4-4-2442-42-20000-2-22-2222000000000000000000000000000000000000000-440000000000000000002-200000000000
χ105888-8-8-88-8-4-44444-4-4-44-4-444-44200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-888-8-8-8-4-44-44-4-44-4-4444-44420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-4-44444-44-444-4-4-4420000-22-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-4-4-44-44444-4-4-44442000022-22-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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