Finite Group Databasebeta

← Group #11794547

Character table — Group #11794547

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order122222223344446666666666666634444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121222444444666612121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ511111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
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
χ11222222222-12222222-1-1-122-1-1-12-12-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-1-1-1-1-10000000000000000
χ12222222222-12222222-1-1-122-1-1-12-12-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-200111111110000000000000000
χ13222222222-12222222-1-1-122-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1-1-111111111111111112200-2-200-1-1-1-111110000000000000000
χ14222222222-12222222-1-1-122-1-1-12-12-1-2-2-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-20022001111-1-1-1-10000000000000000
χ15222222222-1-2-2-2-2222-1-1-122-1-1-12-12-122-2-2-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-11111-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−i3−i3i3i3−i3−i3i3i30000000000000000
χ16222222222-1-2-2-2-2222-1-1-122-1-1-12-12-122-2-2-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-11111-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000i3i3−i3−i3i3i3−i3−i30000000000000000
χ17222222222-1-2-2-2-2222-1-1-122-1-1-12-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-122221111111111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3i3i3−i3−i30000000000000000
χ18222222222-1-2-2-2-2222-1-1-122-1-1-12-12-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-122221111111111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3−i3−i3i3i30000000000000000
χ1922222222-122222-1-1-1222-1-1222-12-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-100000000
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χ2522222222-12-2-2-2-2-1-1-1222-1-1222-12-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000−i3−i3i3i3i3i3−i3−i300000000
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χ27222-22-2-2-22222-2-222-222-22-22-2-2-2-2-22000022-2-22-2-222-2-222-2-200000000000000002222-2-2-2-200000000000000002-20000002-22-200000000000000000000
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χ1114-4-444-4-44-2-2-44-4422-222-2-22-222-2-2210000-1-1111-1-12-22-22-22-223−2323−2300000000−2323−2323-1-111-1-111−33−33−33−333−33−33−33−300000000000000000000000000000000
χ1124-4-444-4-44-2-2-44-4422-222-2-22-222-2-2210000-1-1111-1-12-22-22-22-2−2323−23230000000023−2323−23-1-111-1-1113−33−33−33−3−33−33−33−3300000000000000000000000000000000
χ1134-4-4-4444-44-24-4-44-4-4-422244-2-2-2-424-200002222-2-2-24-4-44-222-20000000000000000-2-22222-2-2000000000000000000000000000000000000000000000000
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χ1164-4-4-4444-4-24-444-4222-4-4-4-2-24442-4-2-200002222-2-2-22-2-22-444-4000000000000000022-2-2-2-222000000000000000000000000000000000000000000000000
χ1174-4-4-4444-4-2-24-4-44222222-2-2-2-2-222-210000-1-1-1-1111-222-2-222-2000000000000000011-1-1-1-1113-33-3-33-333-33-3-33-3300000000000000000000000000000000
χ1184-4-4-4444-4-2-24-4-44222222-2-2-2-2-222-210000-1-1-1-1111-222-2-222-2000000000000000011-1-1-1-111-33-333-33-3-33-333-33-300000000000000000000000000000000
χ1194-4-4-4444-4-2-2-444-4222222-2-2-2-2-222-210000-1-1-1-11112-2-222-2-220000000000000000-1-11111-1-13-33-3-33-33-33-333-33-300000000000000000000000000000000
χ1204-4-4-4444-4-2-2-444-4222222-2-2-2-2-222-210000-1-1-1-11112-2-222-2-220000000000000000-1-11111-1-1-33-333-33-33-33-3-33-3300000000000000000000000000000000

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