Finite Group Databasebeta

← Group #11794655

Character table — Group #11794655

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222223344446666666666666634444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222444444666612121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ92222222222-2-2-2-222222222222222222-2-22222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ102222222222-2-2-2-2222222222222222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ11222222222-12222222-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
χ12222222222-12222222-1-1-1222-1-1-1-12-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000000000
χ13222222222-12222222-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111122-2-20000-1-1-1-111110000000000000000
χ14222222222-12222222-1-1-1222-1-1-1-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111-2-22200001111-1-1-1-10000000000000000
χ15222222222-1-2-2-2-2222-1-1-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i30000000000000000
χ16222222222-1-2-2-2-2222-1-1-1222-1-1-1-12-122-2-2-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i30000000000000000
χ17222222222-1-2-2-2-2222-1-1-1222-1-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3i3i3−i3−i30000000000000000
χ18222222222-1-2-2-2-2222-1-1-1222-1-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3−i3−i3i3i30000000000000000
χ1922222222-122222-1-1-1222-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000000
χ2022222222-122222-1-1-1222-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100000000
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χ2322222222-12-2-2-2-2-1-1-1222-1-1-12222-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000−i3−i3i3i3−i3−i3i3i300000000
χ2422222222-12-2-2-2-2-1-1-1222-1-1-12222-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000000000000i3i3−i3−i3i3i3−i3−i300000000
χ2522222222-12-2-2-2-2-1-1-1222-1-1-12222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-10000000000000000−i3−i3i3i3i3i3−i3−i300000000
χ2622222222-12-2-2-2-2-1-1-1222-1-1-12222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-10000000000000000i3i3−i3−i3−i3−i3i3i300000000
χ2722-22-2-22-222000022-22-2-22-2-22-2-22-22002-222-2-22-2-2000000000000000022-2-222-2-200000000000000002222-2-2-2-2000000000000000000000000−i2−i2i2i2−i2−i2i2i2
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χ3022-22-2-22-222000022-22-2-22-2-22-2-22-2200-2222-2-22-2-20000000000000000-2-222-2-2220000000000000000-2-2-2-22222000000000000000000000000i2i2−i2−i2−i2−i2i2i2
χ3122-2-22-2-222222-2-22-2-222-2-22-2-22-2-22200002-22-2-22-222-2-222-2-200000000000000002222-2-2-2-20000000000000000002i−2i000000002i−2i2i−2i0000000000000000
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χ3722-2-22-2-222-122-2-22-2-2-1-11-22-21-1112-10000-11-111-1122-2-2-1-1110000−3−3330000−33−33-1-1-1-11111−3−3−3−33333−3−333−3−333002i−2i0000i3−i3−i3i3−ii−ii0000000000000000
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χ432-22-22-22-2222-22-2-222-2-22-22-2-22-22-220000-22-22-22-22-22-22-22-2000000000000000022-2-222-2-2000000000000000000000000000000000000000000002i−2i2i−2i
χ442-22-22-22-2222-22-2-222-2-22-22-2-22-22-220000-22-22-22-22-22-22-22-2000000000000000022-2-222-2-200000000000000000000000000000000000000000000−2i2i−2i2i
χ452-22-22-22-222-22-22-222-2-22-22-2-22-22-220000-22-22-22-2-22-22-22-220000000000000000-2-222-2-22200000000000000000000000000000000000000002i−2i2i−2i0000
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χ492-2-2222-2-222-222-2-2-2-2-2-2-2222222-2-220000-2-2-2-2222-222-2-222-20000000000000000-2-22222-2-200000000000000000000002i−2i0000000000002i−2i2i−2i00000000
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χ8044-44-4-44-4-2-20000-2-22-222-222-222-221004-411-1-11-1-10000000000000000-2-222-2-2223i−3i3i−3i−3i3i−3i3i3i−3i−3i3i−3i3i3i−3i1111-1-1-1-100000000000000000000000000000000
χ8144-44-4-44-4-2-20000-2-22-222-222-222-221004-411-1-11-1-10000000000000000-2-222-2-222−3i3i−3i3i3i−3i3i−3i−3i3i3i−3i3i−3i−3i3i1111-1-1-1-100000000000000000000000000000000
χ8244-44-4-44-4-2-20000-2-22-222-222-222-22100-4411-1-11-1-1000000000000000022-2-222-2-23i−3i3i−3i−3i3i−3i3i−3i3i3i−3i3i−3i−3i3i-1-1-1-1111100000000000000000000000000000000
χ8344-44-4-44-4-2-20000-2-22-222-222-222-22100-4411-1-11-1-1000000000000000022-2-222-2-2−3i3i−3i3i3i−3i3i−3i3i−3i−3i3i−3i3i3i−3i-1-1-1-1111100000000000000000000000000000000
χ8444-4-44-4-44-2444-4-4-22244-42-22-44-4-4-2-20000-22-222-22-2-22244-4-40000000000000000-2-2-2-22222000000000000000000000000000000000000000000000000
χ8544-4-44-4-44-24-4-444-22244-42-22-44-4-4-2-20000-22-222-2222-2-2-4-44400000000000000002222-2-2-2-2000000000000000000000000000000000000000000000000
χ8644-4-44-4-44-2-244-4-4-222-2-222-222-222-2100001-11-1-11-1-2-222-2-22200002323−23−23000023−2323−231111-1-1-1-1−3−3−3−33333−3−333−3−33300000000000000000000000000000000
χ8744-4-44-4-44-2-244-4-4-222-2-222-222-222-2100001-11-1-11-1-2-222-2-2220000−23−2323230000−2323−23231111-1-1-1-13333−3−3−3−333−3−333−3−300000000000000000000000000000000
χ8844-4-44-4-44-2-2-4-444-222-2-222-222-222-2100001-11-1-11-122-2-222-2-200002323−23−230000−2323−2323-1-1-1-11111−3−3−3−3333333−3−333−3−300000000000000000000000000000000
χ8944-4-44-4-44-2-2-4-444-222-2-222-222-222-2100001-11-1-11-122-2-222-2-20000−23−232323000023−2323−23-1-1-1-111113333−3−3−3−3−3−333−3−33300000000000000000000000000000000
χ904-444-4-4-44440000-4-44-4444-4-44-4-4-4440000-4-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ914-444-4-4-444-20000-4-442-2-24-4-4-22224-2000022-2-2-22200000000000023−23−2323000000000000000023−2323−23−2323−23230000000000000000000000000000000000000000
χ924-444-4-4-444-20000-4-442-2-24-4-4-22224-2000022-2-2-222000000000000−232323−230000000000000000−2323−232323−2323−230000000000000000000000000000000000000000
χ934-444-4-4-44-24000022-2-444-2224-4-4-4-2-2000022-2-2-2220000000000000000−2i32i32i3−2i300000000000000000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000
χ944-444-4-4-44-24000022-2-444-2224-4-4-4-2-2000022-2-2-22200000000000000002i3−2i3−2i32i3000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000
χ954-444-4-4-44-2-2000022-22-2-2-222-2222-210000-1-1111-1-100000000000023−23−2323−2i32i32i3−2i30000−3i3i3i−3i−3i3i3i−3i−33−333−33−3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ964-444-4-4-44-2-2000022-22-2-2-222-2222-210000-1-1111-1-100000000000023−23−23232i3−2i3−2i32i300003i−3i−3i3i3i−3i−3i3i−33−333−33−3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ974-444-4-4-44-2-2000022-22-2-2-222-2222-210000-1-1111-1-1000000000000−232323−23−2i32i32i3−2i300003i−3i−3i3i3i−3i−3i3i3−33−3−33−33i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ984-444-4-4-44-2-2000022-22-2-2-222-2222-210000-1-1111-1-1000000000000−232323−232i3−2i3−2i32i30000−3i3i3i−3i−3i3i3i−3i3−33−3−33−33−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ994-44-44-44-44-24-44-4-44422-2-44-42-22-2-4-200002-22-22-224-44-4-22-220000000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ1004-44-44-44-44-2-44-44-44422-2-44-42-22-2-4-200002-22-22-22-44-442-22-2000000000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ1014-44-44-44-4-244-44-42-2-2-4-442-22-44-442-200002-22-22-22-22-224-44-40000000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ1024-44-44-44-4-24-44-442-2-2-4-442-22-44-442-200002-22-22-222-22-2-44-44000000000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ1034-44-44-44-4-2-24-44-42-2-222-22-222-22-2210000-11-11-11-1-22-22-22-22000000000000000011-1-111-1-13i3i−3i−3i−3i−3i3i3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000
χ1044-44-44-44-4-2-24-44-42-2-222-22-222-22-2210000-11-11-11-1-22-22-22-22000000000000000011-1-111-1-1−3i−3i3i3i3i3i−3i−3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000
χ1054-44-44-44-4-2-2-44-442-2-222-22-222-22-2210000-11-11-11-12-22-22-22-20000000000000000-1-111-1-1113i3i−3i−3i−3i−3i3i3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000
χ1064-44-44-44-4-2-2-44-442-2-222-22-222-22-2210000-11-11-11-12-22-22-22-20000000000000000-1-111-1-111−3i−3i3i3i3i3i−3i−3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000
χ1074-4-4444-4-44-24-4-44-4-4-4222444-2-2-22-4-200002222-2-2-24-4-44-222-20000000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ1084-4-4444-4-44-2-444-4-4-4-4222444-2-2-22-4-200002222-2-2-2-444-42-2-22000000000000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ1094-4-4444-4-4-2-24-4-44222222-2-2-2-2-2-22210000-1-1-1-1111-222-2-222-2−2i3−2i32i32i30000−2i32i3−2i32i3000011-1-1-1-111i3i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ1104-4-4444-4-4-2-24-4-44222222-2-2-2-2-2-22210000-1-1-1-1111-222-2-222-22i32i3−2i3−2i300002i3−2i32i3−2i3000011-1-1-1-111−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ1114-4-4444-4-4-2-2-444-4222222-2-2-2-2-2-22210000-1-1-1-11112-2-222-2-22−2i3−2i32i32i300002i3−2i32i3−2i30000-1-11111-1-1i3i3−i3−i3i3i3−i3−i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ1124-4-4444-4-4-2-2-444-4222222-2-2-2-2-2-22210000-1-1-1-11112-2-222-2-222i32i3−2i3−2i30000−2i32i3−2i32i30000-1-11111-1-1−i3−i3i3i3−i3−i3i3i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ1134-4-4-4-44444-20000-44-42-22-4-4422-2-24-24-4002-2-2222-2000000004-44-4-22-220000000000000000-22-22-22-220000000000000000000000000000000000000000
χ1144-4-4-4-44444-20000-44-42-22-4-4422-2-24-2-44002-2-2222-200000000-44-442-22-200000000000000002-22-22-22-20000000000000000000000000000000000000000
χ1154-4-4-4-4444-2400002-22-44-422-2-4-444-2-24-4002-2-2222-200000000-22-224-44-40000000000000000-22-22-22-220000000000000000000000000000000000000000
χ1164-4-4-4-4444-2400002-22-44-422-2-4-444-2-2-44002-2-2222-2000000002-22-2-44-4400000000000000002-22-22-22-20000000000000000000000000000000000000000
χ1174-4-4-4-4444-2-200002-222-2222-222-2-2-214-400-111-1-1-1100000000-22-22-22-22000000003i−3i−3i3i−3i3i3i−3i1-11-11-11-1−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ1184-4-4-4-4444-2-200002-222-2222-222-2-2-214-400-111-1-1-1100000000-22-22-22-2200000000−3i3i3i−3i3i−3i−3i3i1-11-11-11-13i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ1194-4-4-4-4444-2-200002-222-2222-222-2-2-21-4400-111-1-1-11000000002-22-22-22-2000000003i−3i−3i3i−3i3i3i−3i-11-11-11-113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ1204-4-4-4-4444-2-200002-222-2222-222-2-2-21-4400-111-1-1-11000000002-22-22-22-200000000−3i3i3i−3i3i−3i−3i3i-11-11-11-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000

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