Finite Group Databasebeta

← Group #11795438

Character table — Group #11795438

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
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order1222222233444466666666666666366666661212121212121212441212121212121212121212121212121212121212888888882424242424242424242424242424242444441212121212121212444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
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χ12222222222-1222222222-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ13222222222-1222222222-1-1-1-1-12-12-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
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χ944-4-444-4-44-244-44-42222-2-4-4-4-44-24-24-22222-2-2-2-22-24-4-4240000000000-22-2200000000000000000000000000000000000000000000000000
χ954-4-444-4-44-2-24-44-42222-22222-2-2-2-2-21-1-1-1-1111-22-2-2222-2000000−2i32i3−2i32i31-11-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ964-4-444-4-44-2-24-44-42222-22222-2-2-2-2-21-1-1-1-1111-22-2-2222-20000002i3−2i32i3−2i31-11-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ974-4-444-4-44-2-2-44-442222-22222-2-2-2-2-21-1-1-1-11112-222-2-2-2200−2i32i3−2i32i30000-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ984-4-444-4-44-2-2-44-442222-22222-2-2-2-2-21-1-1-1-11112-222-2-2-22002i3−2i32i3−2i30000-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ994-4-4-4444-44-24-4-44-4-444-422-2-224-2-42-222-2-22-224-4-4-22-2420000000000-222-200000000000000000000000000000000000000000000000000
χ1004-4-4-4444-4-24-444-422-2-22-4-444-4-242-4-222-2-22-222-2-2-44-42400000000002-2-2200000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-24-4-4422-2-2222-2-22-2-2221-1-111-11-1-222-22-2-220023−23−232300001-1-11−33−333−33−3000000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-24-4-4422-2-2222-2-22-2-2221-1-111-11-1-222-22-2-2200−232323−2300001-1-113−33−3−33−33000000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-2-444-422-2-2222-2-22-2-2221-1-111-11-12-2-22-222-200000023−23−2323-111-1−3−33333−3−3000000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-2-444-422-2-2222-2-22-2-2221-1-111-11-12-2-22-222-2000000−232323−23-111-133−3−3−3−333000000000000000000000000000000000000000000
χ10588-88-8-88-8-4-40000-444-4-4-444-4-4444422-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-88-88-4-40000-44-444-44-44444-4-422-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-88-8-8-4-400004-4-44-44-4-44-444442-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-8-888-4-400004-44-444-44-4444-4-42-22-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000

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