Finite Group Databasebeta

← Group #11794030

Character table — Group #11794030

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12222222334444666666666666663444466666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122222444466666666121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
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
χ11222222222-12222222-1-1-1222-1-1-12-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-10000-1-1-1-100000000
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χ14222222222-12222222-1-1-1222-1-1-12-1-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111100-2-20022000011110000-1-1-1-100000000
χ15222222222-1-2-2-2-2222-1-1-1222-1-1-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-111111111000000000000−i3−i3i3i30000−i3−i3i3i300000000
χ16222222222-1-2-2-2-2222-1-1-1222-1-1-12-1-122-2-2-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-111111111000000000000i3i3−i3−i30000i3i3−i3−i300000000
χ17222222222-1-2-2-2-2222-1-1-1222-1-1-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000−i3−i3i3i30000i3i3−i3−i300000000
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χ2422222222-12-2-2-2-2-1-1-1222-1-1-1222-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000i3i3−i3−i30000i3i3−i3−i3000000000000
χ2522222222-12-2-2-2-2-1-1-1222-1-1-1222-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i30000i3i3−i3−i3000000000000
χ2622222222-12-2-2-2-2-1-1-1222-1-1-1222-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i30000−i3−i3i3i3000000000000
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χ432-22-22-2-22222-22-2-22-2-222-22-2-22-22-220000-22-22-22-22-22-22-22-2000000000000000022-2-222-2-200000000000000000000002i−2i0000000000002i−2i2i−2i00000000
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χ8044-4-44-44-4-2-2-4-444-22-2-2222-222-222-2100001-11-1-11-122-2-222-2-2−23−232323000023−2323−230000-1-1-1-111113333−3−3−3−3−3−333−3−33300000000000000000000000000000000
χ8144-4-4-44-444400004-4-44-44-4-44-4-444-4400004-4-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ8244-4-4-44-444-200004-4-4-22-2-4-4422-242-20000-222-222-200000000000023−23−2323000000000000000023−23−232323−23−23230000000000000000000000000000000000000000
χ8344-4-4-44-444-200004-4-4-22-2-4-4422-242-20000-222-222-2000000000000−232323−230000000000000000−232323−23−232323−230000000000000000000000000000000000000000
χ8444-4-4-44-44-240000-2224-4422-2-4-44-2-4-20000-222-222-20000000000000000−2i32i32i3−2i300000000000000000000−2i3−2i32i32i32i32i3−2i3−2i300000000000000000000000000000000
χ8544-4-4-44-44-240000-2224-4422-2-4-44-2-4-20000-222-222-200000000000000002i3−2i3−2i32i3000000000000000000002i32i3−2i3−2i3−2i3−2i32i32i300000000000000000000000000000000
χ8644-4-4-44-44-2-20000-222-22-222-222-2-22100001-1-11-1-1100000000000023−23−2323−2i32i32i3−2i300003i−3i3i−3i−3i3i−3i3i−333−3−333−3i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ8744-4-4-44-44-2-20000-222-22-222-222-2-22100001-1-11-1-1100000000000023−23−23232i3−2i3−2i32i30000−3i3i−3i3i3i−3i3i−3i−333−3−333−3−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ8844-4-4-44-44-2-20000-222-22-222-222-2-22100001-1-11-1-11000000000000−232323−23−2i32i32i3−2i30000−3i3i−3i3i3i−3i3i−3i3−3−333−3−33i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000
χ8944-4-4-44-44-2-20000-222-22-222-222-2-22100001-1-11-1-11000000000000−232323−232i3−2i3−2i32i300003i−3i3i−3i−3i3i−3i3i3−3−333−3−33−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000
χ904-44-44-4-44-244-44-42-22-4442-22-44-4-2-4-200002-22-22-22-22-224-44-40000000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ914-44-44-4-44-24-44-442-22-4442-22-44-4-2-4-200002-22-22-222-22-2-44-44000000000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ924-44-44-4-44-2-24-44-42-222-2-22-222-22-2210000-11-11-11-1-22-22-22-2200002323−23−23000023−2323−2311-1-111-1-1−3−333−3−333−33−33−33−3300000000000000000000000000000000
χ934-44-44-4-44-2-24-44-42-222-2-22-222-22-2210000-11-11-11-1-22-22-22-220000−23−2323230000−2323−232311-1-111-1-133−3−333−3−33−33−33−33−300000000000000000000000000000000
χ944-44-44-4-44-2-2-44-442-222-2-22-222-22-2210000-11-11-11-12-22-22-22-200002323−23−230000−2323−2323-1-111-1-111−3−333−3−3333−33−33−33−300000000000000000000000000000000
χ954-44-44-4-44-2-2-44-442-222-2-22-222-22-2210000-11-11-11-12-22-22-22-20000−23−232323000023−2323−23-1-111-1-11133−3−333−3−3−33−33−33−3300000000000000000000000000000000
χ964-44-4-444-4440000-444-44-4-4-44-4-44-4440000-444-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-44-4-444-44-20000-4442-22-4-4422-2-4-2-200002-2-2222-200000000000000000000−2i32i32i3−2i30000000000000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000
χ984-44-4-444-44-20000-4442-22-4-4422-2-4-2-200002-2-2222-2000000000000000000002i3−2i3−2i32i300000000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000
χ994-44-4-444-4-2400002-2-2-44-422-2-4-4424-200002-2-2222-20000000023−23−23230000000000000000000023−2323−23−2323−23230000000000000000000000000000000000000000
χ1004-44-4-444-4-2400002-2-2-44-422-2-4-4424-200002-2-2222-200000000−232323−2300000000000000000000−2323−232323−2323−230000000000000000000000000000000000000000
χ1014-44-4-444-4-2-200002-2-22-2222-222-22-210000-111-1-1-110000000023−23−232300000000−2i32i32i3−2i33i−3i−3i3i3i−3i−3i3i−33−333−33−3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ1024-44-4-444-4-2-200002-2-22-2222-222-22-210000-111-1-1-110000000023−23−2323000000002i3−2i3−2i32i3−3i3i3i−3i−3i3i3i−3i−33−333−33−3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ1034-44-4-444-4-2-200002-2-22-2222-222-22-210000-111-1-1-1100000000−232323−2300000000−2i32i32i3−2i3−3i3i3i−3i−3i3i3i−3i3−33−3−33−33i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ1044-44-4-444-4-2-200002-2-22-2222-222-22-210000-111-1-1-1100000000−232323−23000000002i3−2i3−2i32i33i−3i−3i3i3i−3i−3i3i3−33−3−33−33−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ1054-4-4444-4-44-24-4-44-4-4-4222444-2-2-2-42-200002222-2-2-24-4-44-222-20000000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ1064-4-4444-4-44-2-444-4-4-4-4222444-2-2-2-42-200002222-2-2-2-444-42-2-22000000000000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ1074-4-4444-4-4-244-4-44222-4-4-4-2-2-24442-4-200002222-2-2-2-222-24-4-440000000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
χ1084-4-4444-4-4-24-444-4222-4-4-4-2-2-24442-4-200002222-2-2-22-2-22-444-4000000000000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ1094-4-4444-4-4-2-24-4-44222222-2-2-2-2-2-22210000-1-1-1-1111-222-2-222-2000000000000000011-1-1-1-11133-3-3-3-3333-3-333-3-3300000000000000000000000000000000
χ1104-4-4444-4-4-2-24-4-44222222-2-2-2-2-2-22210000-1-1-1-1111-222-2-222-2000000000000000011-1-1-1-111-3-33333-3-3-333-3-333-300000000000000000000000000000000
χ1114-4-4444-4-4-2-2-444-4222222-2-2-2-2-2-22210000-1-1-1-11112-2-222-2-220000000000000000-1-11111-1-133-3-3-3-333-333-3-333-300000000000000000000000000000000
χ1124-4-4444-4-4-2-2-444-4222222-2-2-2-2-2-22210000-1-1-1-11112-2-222-2-220000000000000000-1-11111-1-1-3-33333-3-33-3-333-3-3300000000000000000000000000000000
χ1134-4-44-4-4444-20000-4-4422-24-4-4-2224-2-24-40022-2-2-222000000004-44-4-22-220000000000000000-22-22-22-220000000000000000000000000000000000000000
χ1144-4-44-4-4444-20000-4-4422-24-4-4-2224-2-2-440022-2-2-22200000000-44-442-22-200000000000000002-22-22-22-20000000000000000000000000000000000000000
χ1154-4-44-4-444-24000022-2-4-44-2224-4-4-24-24-40022-2-2-22200000000-22-224-44-40000000000000000-22-22-22-220000000000000000000000000000000000000000
χ1164-4-44-4-444-24000022-2-4-44-2224-4-4-24-2-440022-2-2-222000000002-22-2-44-4400000000000000002-22-22-22-20000000000000000000000000000000000000000
χ1174-4-44-4-444-2-2000022-222-2-222-222-2-214-400-1-1111-1-100000000-22-22-22-22000000003i−3i−3i3i−3i3i3i−3i1-11-11-11-13i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ1184-4-44-4-444-2-2000022-222-2-222-222-2-214-400-1-1111-1-100000000-22-22-22-2200000000−3i3i3i−3i3i−3i−3i3i1-11-11-11-1−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ1194-4-44-4-444-2-2000022-222-2-222-222-2-21-4400-1-1111-1-1000000002-22-22-22-2000000003i−3i−3i3i−3i3i3i−3i-11-11-11-11−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ1204-4-44-4-444-2-2000022-222-2-222-222-2-21-4400-1-1111-1-1000000002-22-22-22-200000000−3i3i3i−3i3i−3i−3i3i-11-11-11-113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000

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