Finite Group Databasebeta

← Group #11819086

Character table — Group #11819086

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122222223344446666666666666636666666121212121212121244444412121212121212121212121212121212121212122244444444666612121212121212121212121244121212121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ91111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-1
χ101111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-1-1-11111
χ111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-11111-1-111-1-1
χ121111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-1-1-111-1-111
χ131111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1-1-11111
χ141111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-1111111-1-1-1-1
χ151111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-1-1-111-1-111-1-111
χ161111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-111-1-111-1-111-1-111-1-1
χ17222222222-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200222222-1-1-1-100000000-1-1-1-1000000-1-1-1-100000000
χ18222222222-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2-2-21111000000001111000000111100000000
χ19222222222-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-2-2-21111-1-1-1-111111111220022-2-2-2-2-1-1-1-100000000-1-1-1-1000000111100000000
χ20222222222-12222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-10000-2-2-2-2-2-21111-1-1-1-111111111-2-200-2-222221111000000001111000000-1-1-1-100000000
χ21222222222-1-2-2-2-2222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-222-2-2-1-1111111-1-1-1-111112200-2-222-2-2-1-1-1-1000000001111000000-1-11100000000
χ22222222222-1-2-2-2-2222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100002-222-2-2-1-1111111-1-1-1-11111-2-20022-2-222111100000000-1-1-1-100000011-1-100000000
χ23222222222-1-2-2-2-2222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-22-2-22211-1-111111111-1-1-1-12200-2-2-2-222-1-1-1-100000000111100000011-1-100000000
χ24222222222-1-2-2-2-2222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-211110000-22-2-22211-1-111111111-1-1-1-1-2-2002222-2-2111100000000-1-1-1-1000000-1-11100000000
χ2522222222-122222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100220000000000-1-1-1-1-1-1-1-1000022-1-1-1-1000000000000
χ2622222222-122222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122222222-2-21111-2-2-2-2-1-1-1-11111111100220000000000-1-1-1-1-1-1-1-10000-2-21111000000000000
χ2722222222-122222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000000000111111110000-2-21111000000000000
χ2822222222-122222-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-21111-2-2-2-2-1-1-1-11111111100-2-2000000000011111111000022-1-1-1-1000000000000
χ2922222222-12-2-2-2-2-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-222222-2-1-11122-2-21111-1-1-1-1111100-2-20000000000-1-1-1-1111100002-2-1-111000000000000
χ3022222222-12-2-2-2-2-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-22222-2211-1-1-2-22211111111-1-1-1-100-2-20000000000-1-1-1-111110000-2211-1-1000000000000
χ3122222222-12-2-2-2-2-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-22-2-1-11122-2-21111-1-1-1-11111002200000000001111-1-1-1-10000-2211-1-1000000000000
χ3222222222-12-2-2-2-2-1-1-122222-1-1-1-122-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-2-2211-1-1-2-22211111111-1-1-1-1002200000000001111-1-1-1-100002-2-1-111000000000000
χ33222-2-22-2-222000022-2222-2-22-2-2-2-2-22222-2-2-2-20000000022-2-200000000000000000000002-20000000022-2-222-2-20000000000000000002-2000000
χ34222-2-22-2-222000022-2222-2-22-2-2-2-2-22222-2-2-2-20000000022-2-20000000000000000000000-2200000000-2-22222-2-2000000000000000000-22000000
χ35222-2-22-2-222000022-2222-2-22-2-2-2-2-22222-2-2-2-200000000-2-22200000000000000000000002-20000000022-2-2-2-222000000000000000000-22000000
χ36222-2-22-2-222000022-2222-2-22-2-2-2-2-22222-2-2-2-200000000-2-2220000000000000000000000-2200000000-2-222-2-2220000000000000000002-2000000
χ3722-22-2-2-222200002-2-22-2-22-2-22-222-222-2-222-2-2000000002i−2i2i−2i000000000000000000000000002i−2i000000002i−2i2i−2i00002i2i−2i−2i00000000000000002-2
χ3822-22-2-2-222200002-2-22-2-22-2-22-222-222-2-222-2-2000000002i−2i2i−2i00000000000000000000000000−2i2i000000002i−2i2i−2i0000−2i−2i2i2i0000000000000000-22
χ3922-22-2-2-222200002-2-22-2-22-2-22-222-222-2-222-2-200000000−2i2i−2i2i000000000000000000000000002i−2i00000000−2i2i−2i2i00002i2i−2i−2i0000000000000000-22
χ4022-22-2-2-222200002-2-22-2-22-2-22-222-222-2-222-2-200000000−2i2i−2i2i00000000000000000000000000−2i2i00000000−2i2i−2i2i0000−2i−2i2i2i00000000000000002-2
χ4122-2-22-22-22222-2-22-222-2-2-22-2-22-2-2222-2-2-2-22222-2-222-2-22i−2i−2i2i000000000022-2-200000000002i−2i00000000002i−2i−2i2i2i2i−2i−2i0000000000000000000000
χ4222-2-22-22-22222-2-22-222-2-2-22-2-22-2-2222-2-2-2-22222-2-222-2-2−2i2i2i−2i000000000022-2-20000000000−2i2i0000000000−2i2i2i−2i−2i−2i2i2i0000000000000000000000
χ4322-2-22-22-222-2-2222-222-2-2-22-2-22-2-2222-2-2-2-222-2-222-2-2222i−2i−2i2i0000000000-2-2220000000000−2i2i00000000002i−2i−2i2i−2i−2i2i2i0000000000000000000000
χ4422-2-22-22-222-2-2222-222-2-2-22-2-22-2-2222-2-2-2-222-2-222-2-222−2i2i2i−2i0000000000-2-22200000000002i−2i0000000000−2i2i2i−2i2i2i−2i−2i0000000000000000000000
χ4522-2-22-22-2-1222-2-2-11-12-2-2-2211-11-22-1-11111-1-1-1-11122-2-22i−2i−2i2i00−i3i3−i3i30000-1-111−i3−i3i3i3−i3−i3i3i3002i−2i0000000000−iii−i−i−iii0000003−33−3000000000000
χ4622-2-22-22-2-1222-2-2-11-12-2-2-2211-11-22-1-11111-1-1-1-11122-2-22i−2i−2i2i00i3−i3i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3002i−2i0000000000−iii−i−i−iii000000−33−33000000000000
χ4722-2-22-22-2-1222-2-2-11-12-2-2-2211-11-22-1-11111-1-1-1-11122-2-2−2i2i2i−2i00−i3i3−i3i30000-1-111−i3−i3i3i3−i3−i3i3i300−2i2i0000000000i−i−iiii−i−i000000−33−33000000000000
χ4822-2-22-22-2-1222-2-2-11-12-2-2-2211-11-22-1-11111-1-1-1-11122-2-2−2i2i2i−2i00i3−i3i3−i30000-1-111i3i3−i3−i3i3i3−i3−i300−2i2i0000000000i−i−iiii−i−i0000003−33−3000000000000
χ4922-2-22-22-2-12-2-222-11-12-2-2-2211-11-22-1-11111-1-111-1-1-2-2222i−2i−2i2i00−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i300−2i2i0000000000−iii−iii−i−i0000003−3−33000000000000
χ5022-2-22-22-2-12-2-222-11-12-2-2-2211-11-22-1-11111-1-111-1-1-2-2222i−2i−2i2i00i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i300−2i2i0000000000−iii−iii−i−i000000−333−3000000000000
χ5122-2-22-22-2-12-2-222-11-12-2-2-2211-11-22-1-11111-1-111-1-1-2-222−2i2i2i−2i00−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i3002i−2i0000000000i−i−ii−i−iii000000−333−3000000000000
χ5222-2-22-22-2-12-2-222-11-12-2-2-2211-11-22-1-11111-1-111-1-1-2-222−2i2i2i−2i00i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i3002i−2i0000000000i−i−ii−i−iii0000003−3−33000000000000
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χ8444-4-44-44-4-2-244-4-4-22-2-2222-222-222-211-1-1-1-111-2-222-2-2220000002i3−2i32i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000000000
χ8544-4-44-44-4-2-2-4-444-22-2-2222-222-222-211-1-1-1-11122-2-222-2-2000000−2i32i32i3−2i30000-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ8644-4-44-44-4-2-2-4-444-22-2-2222-222-222-211-1-1-1-11122-2-222-2-20000002i3−2i3−2i32i30000-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ874-4444-4-4-44-24-44-4-4-4-42-22-22444-42-2-22-22-222-24-44-4-22-2200000000000000-22-220000000000000000000000000000000000000000000000000000
χ884-4444-4-4-44-2-44-44-4-4-42-22-22444-42-2-22-22-222-2-44-442-22-2000000000000002-22-20000000000000000000000000000000000000000000000000000
χ894-4444-4-4-4-244-44-4222-44-44-4-2-2-22-44-22-22-222-2-22-224-44-400000000000000-22-220000000000000000000000000000000000000000000000000000
χ904-4444-4-4-4-24-44-44222-44-44-4-2-2-22-44-22-22-222-22-22-2-44-44000000000000002-22-20000000000000000000000000000000000000000000000000000
χ914-4444-4-4-4-2-24-44-42222-22-22-2-2-222-21-11-11-1-11-22-22-22-22000000000000001-11-13-3-333-3-3300000000000000000000000000000000000000000000
χ924-4444-4-4-4-2-24-44-42222-22-22-2-2-222-21-11-11-1-11-22-22-22-22000000000000001-11-1-333-3-333-300000000000000000000000000000000000000000000
χ934-4444-4-4-4-2-2-44-442222-22-22-2-2-222-21-11-11-1-112-22-22-22-200000000000000-11-113-3-33-333-300000000000000000000000000000000000000000000
χ944-4444-4-4-4-2-2-44-442222-22-22-2-2-222-21-11-11-1-112-22-22-22-200000000000000-11-11-333-33-3-3300000000000000000000000000000000000000000000
χ954-44-4-4-444440000-4-44-44-4-444-4-444-44-44-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-4-4444-20000-4-442-222-24-4-44-22-22-222-2-220000000000000000000000000000000000000000000000000000000023−23−2323000000000000000000
χ974-44-4-4-4444-20000-4-442-222-24-4-44-22-22-222-2-2200000000000000000000000000000000000000000000000000000000−232323−23000000000000000000
χ984-44-4-4-444-24000022-2-44-4-44-222-24-4-22-222-2-22000000000000000000000000000000000000000000000000000023−2323−230000000000000000000000
χ994-44-4-4-444-24000022-2-44-4-44-222-24-4-22-222-2-220000000000000000000000000000000000000000000000000000−2323−23230000000000000000000000
χ1004-4-44-444-4440000-444-4-4444-44-4-4-4-44-4-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44-20000-44422-2-2-2-44-4-422-222-2-22-2200000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ1024-4-44-444-44-20000-44422-2-2-2-44-4-422-222-2-22-22000000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ1034-4-44-444-4-2400002-2-2-4-44442-222-4-4-222-2-22-220000000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000
χ1044-4-44-444-4-2400002-2-2-4-44442-222-4-4-222-2-22-2200000000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000
χ1054-4-4-444-44-244-4-442-22-4-44-4-422-2-244-222-22-22-2-222-24-4-4400000000000000-222-20000000000000000000000000000000000000000000000000000
χ1064-4-4-444-44-24-444-42-22-4-44-4-422-2-244-222-22-22-22-2-22-444-4000000000000002-2-220000000000000000000000000000000000000000000000000000
χ1074-4-4-444-44-2-24-4-442-2222-22222-2-2-2-21-1-11-11-11-222-2-222-20000000000−2i32i3−2i32i31-1-11i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000000000000
χ1084-4-4-444-44-2-24-4-442-2222-22222-2-2-2-21-1-11-11-11-222-2-222-200000000002i3−2i32i3−2i31-1-11−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000000000000
χ1094-4-4-444-44-2-2-444-42-2222-22222-2-2-2-21-1-11-11-112-2-222-2-220000000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000
χ1104-4-4-444-44-2-2-444-42-2222-22222-2-2-2-21-1-11-11-112-2-222-2-2200000000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000
χ111888-8-88-8-8-4-40000-4-44-4-4-444-4444442222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-8-88-4-40000-444-444-444-44-4-4422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-8-888-4-4000044-44-444-4-444-4-442-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-888-8-4-400004-4-444-4-4-44-444442-2-222-22-2000000000000000000000000000000000000000000000000000000000000000000000000000000

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