Finite Group Databasebeta

← Group #11792564

Character table — Group #11792564

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order12222222334444666666666666663444466666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212122222444466666666121212121212121288888888
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
χ511111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ92222222222-2-2-2-222222222222222222-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ102222222222-2-2-2-2222222222222222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ11222222222-12222222-1-1-1-122-1-1-122-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000000000
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χ8044-44-44-4-4-2-20000-22-2-22-222-22-222214-4001-11-1-11-10000-2-222-2-222000000000000−3i3i−3i3i3i−3i3i−3i1111-1-1-1-13i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ8144-44-44-4-4-2-20000-22-2-22-222-22-22221-44001-11-1-11-1000022-2-222-2-20000000000003i−3i3i−3i−3i3i−3i3i-1-1-1-111113i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ8244-44-44-4-4-2-20000-22-2-22-222-22-22221-44001-11-1-11-1000022-2-222-2-2000000000000−3i3i−3i3i3i−3i3i−3i-1-1-1-11111−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ8344-4-4-4-4444-24-44-44-4-4-222-2-4-422-244-20000-222-222-2-2-222000000000000000044-4-4-2-2-2-22222000000000000000000000000000000000000000000000000
χ8444-4-4-4-4444-2-44-444-4-4-222-2-4-422-244-20000-222-222-222-2-20000000000000000-4-4442222-2-2-2-2000000000000000000000000000000000000000000000000
χ8544-4-4-4-444-244-44-4-2224-4-4422-4-44-2-2-20000-222-222-244-4-40000000000000000-2-222-2-2-2-22222000000000000000000000000000000000000000000000000
χ8644-4-4-4-444-24-44-44-2224-4-4422-4-44-2-2-20000-222-222-2-4-444000000000000000022-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ8744-4-4-4-444-2-24-44-4-222-222-22222-2-2-2100001-1-11-1-11-2-2220000000000000000-2-2221111-1-1-1-13i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000
χ8844-4-4-4-444-2-24-44-4-222-222-22222-2-2-2100001-1-11-1-11-2-2220000000000000000-2-2221111-1-1-1-1−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000
χ8944-4-4-4-444-2-2-44-44-222-222-22222-2-2-2100001-1-11-1-1122-2-2000000000000000022-2-2-1-1-1-111113i−3i−3i3i3i−3i−3i3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000
χ9044-4-4-4-444-2-2-44-44-222-222-22222-2-2-2100001-1-11-1-1122-2-2000000000000000022-2-2-1-1-1-11111−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000
χ914-444-4-4-444-244-4-4-4442-2-22-4-422-2-44-200002-2-2222-2-22-2200000000000000004-44-4-2-222-2-222000000000000000000000000000000000000000000000000
χ924-444-4-4-444-2-4-444-4442-2-22-4-422-2-44-200002-2-2222-22-22-20000000000000000-44-4422-2-222-2-2000000000000000000000000000000000000000000000000
χ934-444-4-4-44-2-244-4-42-2-22-2-222222-22-210000-111-1-1-11-22-2223−2323−23000023−2323−230000-22-2211-1-111-1-1−3−333−3−333−3−333−3−33300000000000000000000000000000000
χ944-444-4-4-44-2-244-4-42-2-22-2-222222-22-210000-111-1-1-11-22-22−2323−23230000−2323−23230000-22-2211-1-111-1-133−3−333−3−333−3−333−3−300000000000000000000000000000000
χ954-444-4-4-44-2-2-4-4442-2-22-2-222222-22-210000-111-1-1-112-22-223−2323−230000−2323−232300002-22-2-1-111-1-111−3−333−3−33333−3−333−3−300000000000000000000000000000000
χ964-444-4-4-44-2-2-4-4442-2-22-2-222222-22-210000-111-1-1-112-22-2−2323−2323000023−2323−2300002-22-2-1-111-1-11133−3−333−3−3−3−333−3−33300000000000000000000000000000000
χ974-44-4-444-4440000-44-4-44-44-44-44-44-440000-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-444-44-20000-44-42-22-2-442-224-4-200002-22-22-2200000000−2i32i32i3−2i300000000000000000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000
χ994-44-4-444-44-20000-44-42-22-2-442-224-4-200002-22-22-22000000002i3−2i3−2i32i3000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000
χ1004-44-4-444-4-2400002-22-44-442-2-44-4-22-200002-22-22-2200000000000023−23−23230000000000000000000000002323−23−23−23−23232300000000000000000000000000000000
χ1014-44-4-444-4-2400002-22-44-442-2-44-4-22-200002-22-22-22000000000000−232323−23000000000000000000000000−23−2323232323−23−2300000000000000000000000000000000
χ1024-44-4-444-4-2-200002-222-22-22-22-22-2210000-11-11-11-100000000−2i32i32i3−2i323−23−2323000000003i−3i−3i3i3i−3i−3i3ii3−i3i3−i3−i3i3−i3i3−3−33333−3−300000000000000000000000000000000
χ1034-44-4-444-4-2-200002-222-22-22-22-22-2210000-11-11-11-100000000−2i32i32i3−2i3−232323−2300000000−3i3i3i−3i−3i3i3i−3ii3−i3i3−i3−i3i3−i3i333−3−3−3−33300000000000000000000000000000000
χ1044-44-4-444-4-2-200002-222-22-22-22-22-2210000-11-11-11-1000000002i3−2i3−2i32i323−23−232300000000−3i3i3i−3i−3i3i3i−3i−i3i3−i3i3i3−i3i3−i3−3−33333−3−300000000000000000000000000000000
χ1054-44-4-444-4-2-200002-222-22-22-22-22-2210000-11-11-11-1000000002i3−2i3−2i32i3−232323−23000000003i−3i−3i3i3i−3i−3i3i−i3i3−i3i3i3−i3i3−i333−3−3−3−33300000000000000000000000000000000
χ1064-4-444-44-4440000-4-44-4-4444-44-4-44-440000-4-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1074-4-444-44-44-20000-4-4422-2-24-4-2224-4-2000022-2-2-2220000000000000000−2i32i32i3−2i300000000000000000000−2i32i3−2i32i32i3−2i32i3−2i300000000000000000000000000000000
χ1084-4-444-44-44-20000-4-4422-2-24-4-2224-4-2000022-2-2-22200000000000000002i3−2i3−2i32i3000000000000000000002i3−2i32i3−2i3−2i32i3−2i32i300000000000000000000000000000000
χ1094-4-444-44-4-24000022-2-4-444-224-4-4-22-2000022-2-2-222000023−23−23230000000000000000000000002323−23−23−23−2323230000000000000000000000000000000000000000
χ1104-4-444-44-4-24000022-2-4-444-224-4-4-22-2000022-2-2-2220000−232323−23000000000000000000000000−23−2323232323−23−230000000000000000000000000000000000000000
χ1114-4-444-44-4-2-2000022-222-2-2-22-222-2210000-1-1111-1-1000023−23−232300000000−2i32i32i3−2i30000−3i3i3i−3i3i−3i−3i3i−3−33333−3−3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ1124-4-444-44-4-2-2000022-222-2-2-22-222-2210000-1-1111-1-1000023−23−2323000000002i3−2i3−2i32i300003i−3i−3i3i−3i3i3i−3i−3−33333−3−3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ1134-4-444-44-4-2-2000022-222-2-2-22-222-2210000-1-1111-1-10000−232323−2300000000−2i32i32i3−2i300003i−3i−3i3i−3i3i3i−3i33−3−3−3−333i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000
χ1144-4-444-44-4-2-2000022-222-2-2-22-222-2210000-1-1111-1-10000−232323−23000000002i3−2i3−2i32i30000−3i3i3i−3i3i−3i−3i3i33−3−3−3−333−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000
χ1154-4-4-444-44-244-4-44222-4-4-4-4-2-24442-2-200002222-2-2-24-4-440000000000000000-222-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ1164-4-4-444-44-24-444-4222-4-4-4-4-2-24442-2-200002222-2-2-2-444-400000000000000002-2-2222-2-2-2-222000000000000000000000000000000000000000000000000
χ1174-4-4-444-44-2-24-4-442222222-2-2-2-2-22-210000-1-1-1-1111-222-20000−2i32i3−2i32i30000−2i32i3−2i32i3-222-211-1-1-1-111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000
χ1184-4-4-444-44-2-24-4-442222222-2-2-2-2-22-210000-1-1-1-1111-222-200002i3−2i32i3−2i300002i3−2i32i3−2i3-222-211-1-1-1-111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ1194-4-4-444-44-2-2-444-42222222-2-2-2-2-22-210000-1-1-1-11112-2-220000−2i32i3−2i32i300002i3−2i32i3−2i32-2-22-1-11111-1-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000
χ1204-4-4-444-44-2-2-444-42222222-2-2-2-2-22-210000-1-1-1-11112-2-2200002i3−2i32i3−2i30000−2i32i3−2i32i32-2-22-1-11111-1-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000

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