Finite Group Databasebeta

← Group #11819085

Character table — Group #11819085

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order1222222233444466666666666666366666661212121212121212444444121212121212121212121212121212121212121244444444441212121212121212121212121212121244121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-111
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1-1
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1-11111-1-1-1-111-1-111
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-111-1-11111-1-111-1-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-11111-1-1
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-1-1-111
χ17222222222-12222222-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1002222222200000000-1-1-1-1-1-1-1-1000000-1-1-1-100000000
χ18222222222-12222222-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-100002222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2-2-2-2-20000000011111111000000111100000000
χ19222222222-12222222-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-211-2-211-1-1-1-1111111110022-2-2-2-22200000000-1-1-1-1-1-1-1-1000000111100000000
χ20222222222-12222222-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-211-2-211-1-1-1-11111111100-2-22222-2-20000000011111111000000-1-1-1-100000000
χ21222222222-1-2-2-2-2222-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-222-1-1-2-2111111-1-1-1-11111002222-2-2-2-200000000-1-1-1-11111000000-1-11100000000
χ22222222222-1-2-2-2-2222-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-222-1-1-2-2111111-1-1-1-1111100-2-2-2-22222000000001111-1-1-1-100000011-1-100000000
χ23222222222-1-2-2-2-2222-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-1-2-2-2-211110000-22-2-21122-1-111111111-1-1-1-10022-2-222-2-200000000-1-1-1-1111100000011-1-100000000
χ24222222222-1-2-2-2-2222-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-1-2-2-2-211110000-22-2-21122-1-111111111-1-1-1-100-2-222-2-222000000001111-1-1-1-1000000-1-11100000000
χ2522222222-122222-1-1-1222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-10000000022-1-1-1-1000000000000
χ2622222222-122222-1-1-1222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-122222222-2-211-2-211-2-2-1-1-1-1111111112200000000-1-1-1-1-1-1-1-100000000-2-21111000000000000
χ2722222222-122222-1-1-1222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000001111111100000000-2-21111000000000000
χ2822222222-122222-1-1-1222-1-1-1222-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-211-2-211-2-2-1-1-1-111111111-2-200000000111111110000000022-1-1-1-1000000000000
χ2922222222-12-2-2-2-2-1-1-1222-1-1-1222-12-1-1-1-1-1-1-1-11111-2-2-2-222222-2-1-12211-2-21111-1-1-1-11111-2-200000000-1-1-1-11111000000002-2-1-111000000000000
χ3022222222-12-2-2-2-2-1-1-1222-1-1-1222-12-1-1-1-1-1-1-1-11111-2-2-2-22222-2211-2-2-1-12211111111-1-1-1-1-2-200000000-1-1-1-1111100000000-2211-1-1000000000000
χ3122222222-12-2-2-2-2-1-1-1222-1-1-1222-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-22-2-1-12211-2-21111-1-1-1-1111122000000001111-1-1-1-100000000-2211-1-1000000000000
χ3222222222-12-2-2-2-2-1-1-1222-1-1-1222-12-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-2211-2-2-1-12211111111-1-1-1-122000000001111-1-1-1-1000000002-2-1-111000000000000
χ332222-2-2-2-222000022-222-22-2-22-2-2-2-22222-2-2-2-20000000022-2-20000000000000000000000002-200000022-2-2000022-2-2000000000000002-2000000
χ342222-2-2-2-222000022-222-22-2-22-2-2-2-22222-2-2-2-20000000022-2-2000000000000000000000000-2200000022-2-20000-2-22200000000000000-22000000
χ352222-2-2-2-222000022-222-22-2-22-2-2-2-22222-2-2-2-200000000-2-2220000000000000000000000002-2000000-2-222000022-2-200000000000000-22000000
χ362222-2-2-2-222000022-222-22-2-22-2-2-2-22222-2-2-2-200000000-2-222000000000000000000000000-22000000-2-2220000-2-222000000000000002-2000000
χ3722-2-22-2-222200002-2-22-22-22-2-22-22-222-2-222-2-2000000002i−2i2i−2i0000000000000000000000000000002-22i−2i2i−2i0000000022-2-20000000000002i−2i0000
χ3822-2-22-2-222200002-2-22-22-22-2-22-22-222-2-222-2-2000000002i−2i2i−2i000000000000000000000000000000-222i−2i2i−2i00000000-2-222000000000000−2i2i0000
χ3922-2-22-2-222200002-2-22-22-22-2-22-22-222-2-222-2-200000000−2i2i−2i2i0000000000000000000000000000002-2−2i2i−2i2i0000000022-2-2000000000000−2i2i0000
χ4022-2-22-2-222200002-2-22-22-22-2-22-22-222-2-222-2-200000000−2i2i−2i2i000000000000000000000000000000-22−2i2i−2i2i00000000-2-2220000000000002i−2i0000
χ4122-2-2-222-22222-2-22-222-2-2-2-22-2-22-2222-2-2-2-22222-2-222-2-22i−2i−2i2i000000000022-2-2000000002i−2i000000002i−2i−2i2i2i2i−2i−2i00000000000000000000000000
χ4222-2-2-222-22222-2-22-222-2-2-2-22-2-22-2222-2-2-2-22222-2-222-2-2−2i2i2i−2i000000000022-2-200000000−2i2i00000000−2i2i2i−2i−2i−2i2i2i00000000000000000000000000
χ4322-2-2-222-222-2-2222-222-2-2-2-22-2-22-2222-2-2-2-222-2-222-2-2222i−2i−2i2i0000000000-2-22200000000−2i2i000000002i−2i−2i2i−2i−2i2i2i00000000000000000000000000
χ4422-2-2-222-222-2-2222-222-2-2-2-22-2-22-2222-2-2-2-222-2-222-2-222−2i2i2i−2i0000000000-2-222000000002i−2i00000000−2i2i2i−2i2i2i−2i−2i00000000000000000000000000
χ4522-2-2-222-2-1222-2-2-11-12-2-211-1-2-2212-1-11111-1-1-1-11122-2-22i−2i−2i2i00−i3i300−i3i300-1-111−i3−i3i3i3−i3−i3i3i32i−2i00000000−iii−i−i−iii00000000003−33−3000000000000
χ4622-2-2-222-2-1222-2-2-11-12-2-211-1-2-2212-1-11111-1-1-1-11122-2-22i−2i−2i2i00i3−i300i3−i300-1-111i3i3−i3−i3i3i3−i3−i32i−2i00000000−iii−i−i−iii0000000000−33−33000000000000
χ4722-2-2-222-2-1222-2-2-11-12-2-211-1-2-2212-1-11111-1-1-1-11122-2-2−2i2i2i−2i00−i3i300−i3i300-1-111−i3−i3i3i3−i3−i3i3i3−2i2i00000000i−i−iiii−i−i0000000000−33−33000000000000
χ4822-2-2-222-2-1222-2-2-11-12-2-211-1-2-2212-1-11111-1-1-1-11122-2-2−2i2i2i−2i00i3−i300i3−i300-1-111i3i3−i3−i3i3i3−i3−i3−2i2i00000000i−i−iiii−i−i00000000003−33−3000000000000
χ4922-2-2-222-2-12-2-222-11-12-2-211-1-2-2212-1-11111-1-111-1-1-2-2222i−2i−2i2i00−i3i300i3−i30011-1-1−i3−i3i3i3i3i3−i3−i3−2i2i00000000−iii−iii−i−i00000000003−3−33000000000000
χ5022-2-2-222-2-12-2-222-11-12-2-211-1-2-2212-1-11111-1-111-1-1-2-2222i−2i−2i2i00i3−i300−i3i30011-1-1i3i3−i3−i3−i3−i3i3i3−2i2i00000000−iii−iii−i−i0000000000−333−3000000000000
χ5122-2-2-222-2-12-2-222-11-12-2-211-1-2-2212-1-11111-1-111-1-1-2-222−2i2i2i−2i00−i3i300i3−i30011-1-1−i3−i3i3i3i3i3−i3−i32i−2i00000000i−i−ii−i−iii0000000000−333−3000000000000
χ5222-2-2-222-2-12-2-222-11-12-2-211-1-2-2212-1-11111-1-111-1-1-2-222−2i2i2i−2i00i3−i300−i3i30011-1-1i3i3−i3−i3−i3−i3i3i32i−2i00000000i−i−ii−i−iii00000000003−3−33000000000000
χ532-22-22-22-2222-22-2-2-2-2-222222-2-22-2-22-22-22-2-222-22-22-22-2000000000000002-22-20000000000002i−2i2i−2i0000000000000000000000002i−2i2i−2i00000000
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χ582-22-22-22-22-12-22-2-2-2-21-1-122211-1-21-11-11-111-12-22-2-11-1100000000−i3i300−i3i3-11-11−i3i3−i3i3−i3i3−i3i30000−2i2i−2i2i0000000000−33−33−33−33000000i−ii−i00000000
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χ8444-4-4-444-4-2-244-4-4-22-2-22222-222-22-211-1-1-1-111-2-222-2-2220000002i3−2i3002i3−2i30011-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000000000
χ8544-4-4-444-4-2-2-4-444-22-2-22222-222-22-211-1-1-1-11122-2-222-2-2000000−2i32i3002i3−2i300-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ8644-4-4-444-4-2-2-4-444-22-2-22222-222-22-211-1-1-1-11122-2-222-2-20000002i3−2i300−2i32i300-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ874-44-44-44-4-244-44-4222-444-2-2-2-4-442-4-22-22-222-2-22-224-44-400000000000000-22-220000000000000000000000000000000000000000000000000000
χ884-44-44-44-4-24-44-44222-444-2-2-2-4-442-4-22-22-222-22-22-2-44-44000000000000002-22-20000000000000000000000000000000000000000000000000000
χ894-44-44-44-4-2-24-44-42222-2-2-2-2-222-2221-11-11-1-11-22-22-22-2200000000−2i32i300−2i32i31-11-1i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000000000
χ904-44-44-44-4-2-24-44-42222-2-2-2-2-222-2221-11-11-1-11-22-22-22-22000000002i3−2i3002i3−2i31-11-1−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000000000
χ914-44-44-44-4-2-2-44-442222-2-2-2-2-222-2221-11-11-1-112-22-22-22-200000000−2i32i3002i3−2i3-11-11i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000
χ924-44-44-44-4-2-2-44-442222-2-2-2-2-222-2221-11-11-1-112-22-22-22-2000000002i3−2i300−2i32i3-11-11−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000
χ934-44-4-44-44440000-4-44-44-44-4-4-44-4444-44-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-4-44-444-20000-4-442-224-4-42-224-2-22-222-2-22000000000000000000000000000000000000000000000000000023−23−23230000000000000000000000
χ954-44-4-44-444-20000-4-442-224-4-42-224-2-22-222-2-220000000000000000000000000000000000000000000000000000−232323−230000000000000000000000
χ964-44-4-44-44-24000022-2-44-4-222-44-4-24-22-222-2-2200000000000000000000000000000000000000000000000023−2323−2300000000000000000000000000
χ974-44-4-44-44-24000022-2-44-4-222-44-4-24-22-222-2-22000000000000000000000000000000000000000000000000−2323−232300000000000000000000000000
χ984-4-4444-4-4440000-444-4-44-44-44-4-4-444-4-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-4444-4-44-20000-44422-2-44-4-222-4-2-222-2-22-220000000000000000000000000000000000000000000000000000000023−23−2323000000000000000000
χ1004-4-4444-4-44-20000-44422-2-44-4-222-4-2-222-2-22-2200000000000000000000000000000000000000000000000000000000−232323−23000000000000000000
χ1014-4-4444-4-4-2400002-2-2-4-442-224-4-424-222-2-22-22000000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000
χ1024-4-4444-4-4-2400002-2-2-4-442-224-4-424-222-2-22-220000000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000
χ1034-4-44-4-4444-24-4-44-44-4222-4-44-2-2-242-222-22-22-24-4-44-222-200000000000000-222-20000000000000000000000000000000000000000000000000000
χ1044-4-44-4-4444-2-444-4-44-4222-4-44-2-2-242-222-22-22-2-444-42-2-22000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1054-4-44-4-444-244-4-442-22-4-4-422-2444-2-4-222-22-22-2-222-24-4-4400000000000000-222-20000000000000000000000000000000000000000000000000000
χ1064-4-44-4-444-24-444-42-22-4-4-422-2444-2-4-222-22-22-22-2-22-444-4000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1074-4-44-4-444-2-24-4-442-2222222-2-2-2-2-221-1-11-11-11-222-2-222-2000000000000001-1-113-3-333-3-3300000000000000000000000000000000000000000000
χ1084-4-44-4-444-2-24-4-442-2222222-2-2-2-2-221-1-11-11-11-222-2-222-2000000000000001-1-11-333-3-333-300000000000000000000000000000000000000000000
χ1094-4-44-4-444-2-2-444-42-2222222-2-2-2-2-221-1-11-11-112-2-222-2-2200000000000000-111-13-3-33-333-300000000000000000000000000000000000000000000
χ1104-4-44-4-444-2-2-444-42-2222222-2-2-2-2-221-1-11-11-112-2-222-2-2200000000000000-111-1-333-33-3-3300000000000000000000000000000000000000000000
χ1118888-8-8-8-8-4-40000-4-44-4-44-444-444442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-88-8-88-4-40000-444-44-44-444-44-4422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-88-88-4-4000044-44-44-4444-44-4-42-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-8888-8-8-4-400004-4-444-44-44-4444-42-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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