Finite Group Databasebeta

← Group #11819191

Character table — Group #11819191

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212122222412121212121212121212121212121212121212121212444444444466661212121244444412121212121212121212121244444
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-111-1-11111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-1-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-11111-1-111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11
χ17222222222-122-1-122-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12222000000-1-1-1-1-1-1-1-1000002-1-1-1-10000000000000
χ18222222222-122-1-122-1-12-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000001111111100000-211110000000000000
χ19222222222-122-1-122-1-12-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-211-2-2-1-1-1-11111111122-2-2000000-1-1-1-1-1-1-1-100000-211110000000000000
χ20222222222-122-1-122-1-12-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-211-2-2-1-1-1-111111111-2-22200000011111111000002-1-1-1-10000000000000
χ21222222222-122-1-122-1-12-1-12-12-1-2-222-1-1-1-1-1-1-111112222-2-2-2-1-1-2-211221111-1-1-1-11111-2-222000000-1-1-1-1111100000-2-1-1110000000000000
χ22222222222-122-1-122-1-12-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-1-2-211221111-1-1-1-1111122-2-20000001111-1-1-1-100000211-1-10000000000000
χ23222222222-122-1-122-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-21122-1-1-2-211111111-1-1-1-1-2-2-2-2000000-1-1-1-1111100000211-1-10000000000000
χ24222222222-122-1-122-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-21122-1-1-2-211111111-1-1-1-122220000001111-1-1-1-100000-2-1-1110000000000000
χ2522222222-12-1-122-1-122-122-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222222000000000000200000-1-1-1-1-1-1-1-100000
χ2622222222-12-1-122-1-122-122-12-1-12222-1-1-1-1-1-1-1222200002-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2000000000000-2000001111111100000
χ2722222222-12-1-122-1-122-122-12-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-11111111100002222-2-2000000000000-200000-1-111-1-11100000
χ2822222222-12-1-122-1-122-122-12-1-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-211-2-211-1-1-1-1111111110000-2-2-2-22200000000000020000011-1-111-1-100000
χ2922222222-12-1-122-1-122-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2112211-2-2-1-11111-1-1-1-11111000022-2-222000000000000-200000-1-11111-1-100000
χ3022222222-12-1-122-1-122-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2112211-2-2-1-11111-1-1-1-111110000-2-222-2-200000000000020000011-1-1-1-11100000
χ3122222222-12-1-122-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2-1-1221111111111-1-1-1-1000022-2-2-2-2000000000000200000-1-1-1-1111100000
χ3222222222-12-1-122-1-122-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-2-1-1221111111111-1-1-1-10000-2-22222000000000000-2000001111-1-1-1-100000
χ33222-2-2-22-222-2-22-22-222-2-2-22-22200002-2-2-222-200000000000000000000000000000002i−2i00002-20000002i2i−2i−2i2i2i−2i−2i00000000002-20000000
χ34222-2-2-22-222-2-22-22-222-2-2-22-22200002-2-2-222-200000000000000000000000000000002i−2i0000-220000002i2i−2i−2i−2i−2i2i2i0000000000-220000000
χ35222-2-2-22-222-2-22-22-222-2-2-22-22200002-2-2-222-20000000000000000000000000000000−2i2i00002-2000000−2i−2i2i2i−2i−2i2i2i00000000002-20000000
χ36222-2-2-22-222-2-22-22-222-2-2-22-22200002-2-2-222-20000000000000000000000000000000−2i2i0000-22000000−2i−2i2i2i2i2i−2i−2i0000000000-220000000
χ3722-22-2-2-2222-2-2-2-2222-222-2-22-220000-22-2-22-22000022-2-200000000000000000000000000000002i−2i22-2-2000000000000000000002i−2i2i−2i000
χ3822-22-2-2-2222-2-2-2-2222-222-2-22-220000-22-2-22-22000022-2-20000000000000000000000000000000−2i2i22-2-200000000000000000000−2i2i−2i2i000
χ3922-22-2-2-2222-2-2-2-2222-222-2-22-220000-22-2-22-220000-2-22200000000000000000000000000000002i−2i-2-222000000000000000000002i−2i−2i2i000
χ4022-22-2-2-2222-2-2-2-2222-222-2-22-220000-22-2-22-220000-2-2220000000000000000000000000000000−2i2i-2-22200000000000000000000−2i2i2i−2i000
χ412-222-22-2-2222-2-2-2-22-22-2-2222-220000-2-22-2-22200002-22-20000000000000000000000000002i−2i00002-22-200002i−2i2i−2i0000002i−2i00000000000
χ422-222-22-2-2222-2-2-2-22-22-2-2222-220000-2-22-2-22200002-22-2000000000000000000000000000−2i2i00002-22-20000−2i2i−2i2i000000−2i2i00000000000
χ432-222-22-2-2222-2-2-2-22-22-2-2222-220000-2-22-2-2220000-22-220000000000000000000000000002i−2i0000-22-220000−2i2i−2i2i0000002i−2i00000000000
χ442-222-22-2-2222-2-2-2-22-22-2-2222-220000-2-22-2-2220000-22-22000000000000000000000000000−2i2i0000-22-2200002i−2i2i−2i000000−2i2i00000000000
χ452-22-22-2-2222-22-22-2-2-2222-22-2-222i−2i00-22-22-22-22i2i−2i−2i000002i−2i000000002i2i−2i−2i000000000000000000000000002-2-2200000000000000002i−2i0
χ462-22-22-2-2222-22-22-2-2-2222-22-2-222i−2i00-22-22-22-22i2i−2i−2i000002i−2i000000002i2i−2i−2i00000000000000000000000000-222-20000000000000000−2i2i0
χ472-22-22-2-2222-22-22-2-2-2222-22-2-22−2i2i00-22-22-22-2−2i−2i2i2i00000−2i2i00000000−2i−2i2i2i000000000000000000000000002-2-220000000000000000−2i2i0
χ482-22-22-2-2222-22-22-2-2-2222-22-2-22−2i2i00-22-22-22-2−2i−2i2i2i00000−2i2i00000000−2i−2i2i2i00000000000000000000000000-222-200000000000000002i−2i0
χ492-2-222-22-222-2222-22-2-2-2-2-2-2222002i−2i2-2-22-2-2200002-2-220002i−2i00002i−2i00002i2i−2i−2i0000002i−2i0000002-2-2200000000002i−2i000000000000000
χ502-2-222-22-222-2222-22-2-2-2-2-2-2222002i−2i2-2-22-2-220000-222-20002i−2i00002i−2i00002i2i−2i−2i000000−2i2i000000-222-20000000000−2i2i000000000000000
χ512-2-222-22-222-2222-22-2-2-2-2-2-222200−2i2i2-2-22-2-2200002-2-22000−2i2i0000−2i2i0000−2i−2i2i2i000000−2i2i0000002-2-220000000000−2i2i000000000000000
χ522-2-222-22-222-2222-22-2-2-2-2-2-222200−2i2i2-2-22-2-220000-222-2000−2i2i0000−2i2i0000−2i−2i2i2i0000002i−2i000000-222-200000000002i−2i000000000000000
χ532-2-222-22-22-1-22-1-1-2211-211-2-12-1002i−2i-111-111-1−i3i3−i3i32-2-22000−ii003−32i−2i−i3i3−i3i3−i−iii33−3−3002i−2i000000-111-1−i3i3−i3i3000000−ii3−30000000000000
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χ552-2-222-22-22-1-22-1-1-2211-211-2-12-1002i−2i-111-111-1i3−i3i3−i32-2-22000−ii00−332i−2ii3−i3i3−i3−i−iii−3−333002i−2i000000-111-1i3−i3i3−i3000000−ii−330000000000000
χ562-2-222-22-22-1-22-1-1-2211-211-2-12-1002i−2i-111-111-1i3−i3i3−i3-222-2000−ii00−332i−2ii3−i3i3−i3−i−iii−3−33300−2i2i0000001-1-11−i3i3−i3i3000000i−i3−30000000000000
χ572-2-222-22-22-1-22-1-1-2211-211-2-12-100−2i2i-111-111-1−i3i3−i3i32-2-22000i−i00−33−2i2i−i3i3−i3i3ii−i−i−3−33300−2i2i000000-111-1−i3i3−i3i3000000i−i−330000000000000
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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
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
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χ934-44-44-4-44-2-22-22-2222-2-2-22-2221−4i4i00-11-11-11-12i2i−2i−2i000002i−2i00000000−i−iii-333-33i−3i−3i3i00000000000000000000000000000000000000000
χ944-4-444-44-4-242-2442-2-4-42-4-424-2-2004i−4i-222-222-2000000000004i−4i0000−2i2i0000−2i−2i2i2i000000000000000000000000000000000000000000000
χ954-4-444-44-4-242-2442-2-4-42-4-424-2-200−4i4i-222-222-200000000000−4i4i00002i−2i00002i2i−2i−2i000000000000000000000000000000000000000000000
χ964-4-444-44-4-2-22-2-2-22-2222222-2-21004i−4i1-1-11-1-11−2i32i3−2i32i30000000−2i2i0023−23−2i2ii3−i3i3−i3ii−i−i−3−33300000000000000000000000000000000000000000
χ974-4-444-44-4-2-22-2-2-22-2222222-2-21004i−4i1-1-11-1-112i3−2i32i3−2i30000000−2i2i00−2323−2i2i−i3i3−i3i3ii−i−i33−3−300000000000000000000000000000000000000000
χ984-4-444-44-4-2-22-2-2-22-2222222-2-2100−4i4i1-1-11-1-11−2i32i3−2i32i300000002i−2i00−23232i−2ii3−i3i3−i3−i−iii33−3−300000000000000000000000000000000000000000
χ994-4-444-44-4-2-22-2-2-22-2222222-2-2100−4i4i1-1-11-1-112i3−2i32i3−2i300000002i−2i0023−232i−2i−i3i3−i3i3−i−iii−3−33300000000000000000000000000000000000000000
χ1004-4-4-4-4444444-44-4-4-4-4-4444-4-4440000444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4-44444-24-4-22-4-4224-2-2-424-20000-2-2-2222200000000000000000000000000000000000000000000023−23−232300000000000000000000000
χ1024-4-4-4-44444-24-4-22-4-4224-2-2-424-20000-2-2-22222000000000000000000000000000000000000000000000−232323−2300000000000000000000000
χ1034-4-4-4-4444-24-224-422-4-4-2442-4-2-20000-2-2-22222000000000000000000000000000000000000000000000000000000000000023−23000000000
χ1044-4-4-4-4444-24-224-422-4-4-2442-4-2-20000-2-2-222220000000000000000000000000000000000000000000000000000000000000−2323000000000
χ105888-8-8-88-8-4-444-44-44-4-4444-44-4200002-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-88-8-8-88-4-44444-4-4-44-4-444-4420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-4-44444-44-444-4-4-4420000-2-22-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8-8888-4-4-44-444444-4-4-444-420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000

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