Finite Group Databasebeta

← Group #13160983

Character table — Group #13160983

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1122222222222222222222244444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212242424242424242424363636363636363636363636216216
order122223333366666666666662333346666666666666666666666666121266666666666666666666121212121212121212121212441212121212121212121212121212121241212121212121212224466661212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111-11111-111111111111-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-1
χ611111111111111111111111-11111-111111111111-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11
χ711111111111111111111111-11111-111111111111-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-111-1-1-11
χ811111111111111111111111-11111-111111111111-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-111-1-1111-1
χ9222222222-1222222222222-12-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000000000002222-1-1-1-1-1-1-1-100
χ10222222222-1222222222222-12-1-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000000000000-2-2-2-21111111100
χ11222222222-1222222222222-1-2-1-1-1-1-222222222-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-2111111110000000000000000000000000002-22-2-1-111-1-11100
χ12222222222-1222222222222-1-2-1-1-1-1-222222222-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000000000000000000000000-22-2211-1-111-1-100
χ13222222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12222222-1-1-1-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000000000000
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χ15222222-1-1-1222-1-1-1-1-1-12-1-1-12-22-1-1-1-222-1-1-1-1-1-1222-2-222-1-1-1-1-1-12-1-1-1-2-2-211122-1-1-1-1-1-1-2-2111111-2111-2-2111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211111100000000000000
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χ1922222-12-1-12-1-122-1-1-1-1-12-1-12-2-12-1-1-2-1-122-1-1-1-1222-2-2-1-122-1-1-1-1-12-1-1-2-21-211-1-122-1-1-1-111-2-211111-21111-2-2111122-1-1-1-12222-1-1-1-1-1-1-1-1-211-2-2111100000000000000
χ2022222-12-1-12-1-122-1-1-1-1-12-1-12-2-12-1-1-2-1-122-1-1-1-1222-2-2-1-122-1-1-1-1-12-1-1-2-21-211-1-122-1-1-1-111-2-211111-21111-2-21111-2-21111-2-2-2-2111111112-1-122-1-1-1-100000000000000
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χ2222222-1-12-12-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-122222-1-1-1-122-1-1-1-12-122-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2-211111111-2-2-2-21111-21111-2-21100000000000000
χ2322222-1-12-12-1-1-1-122-1-1-1-12-12-2-1-12-1-2-1-1-1-122-1-1222-2-2-1-1-1-122-1-1-1-12-1-2-211-21-1-1-1-122-1-11111-2-21111-211111-2-21122-1-1-1-1-1-1-1-12222-1-1-1-1-21111-2-21100000000000000
χ2422222-1-12-12-1-1-1-122-1-1-1-12-12-2-1-12-1-2-1-1-1-122-1-1222-2-2-1-1-1-122-1-1-1-12-1-2-211-21-1-1-1-122-1-11111-2-21111-211111-2-211-2-211111111-2-2-2-211112-1-1-1-122-1-100000000000000
χ2522222-1-1-122-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-12200000000000000
χ2622222-1-1-122-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-2-2111111111111-2-2-2-2-2111111-2-200000000000000
χ2722222-1-1-122-1-1-1-1-1-122-1-1-122-2-1-1-12-2-1-1-1-1-1-122222-2-2-1-1-1-1-1-122-1-1-12-2-2111-2-1-1-1-1-1-122111111-2-2111-2111111-2-222-1-1-1-1-1-1-1-1-1-1-1-12222-2111111-2-200000000000000
χ2822222-1-1-122-1-1-1-1-1-122-1-1-122-2-1-1-12-2-1-1-1-1-1-122222-2-2-1-1-1-1-1-122-1-1-12-2-2111-2-1-1-1-1-1-122111111-2-2111-2111111-2-2-2-2111111111111-2-2-2-22-1-1-1-1-1-12200000000000000
χ29222-2-222222222222222222222222-2-2-2-2-2-2-2-2-22-2-222222222222222-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000
χ30222-2-2222222222222222222-222222-2-2-2-2-2-2-2-22-2-2-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000000
χ31222-2-22222-1222222222222-12-1-1-1-1-2-2-2-2-2-2-2-2-2-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111222211111111-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300
χ32222-2-22222-1222222222222-12-1-1-1-1-2-2-2-2-2-2-2-2-2-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111222211111111-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300
χ33222-2-22222-1222222222222-1-2-1-1-1-12-2-2-2-2-2-2-2-2-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-10000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300
χ34222-2-22222-1222222222222-1-2-1-1-1-12-2-2-2-2-2-2-2-2-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-10000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300
χ35222-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-2-2-21111112-2-22222-1-1-1-1-1-12-1-1-1-2-22-1-1-1-2-211111122-1-1-1-1-1-1-2111-2-2111111000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000−i3i3−i3i3−i3i300000000000000
χ36222-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-2-2-21111112-2-22222-1-1-1-1-1-12-1-1-1-2-22-1-1-1-2-211111122-1-1-1-1-1-1-2111-2-2111111000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000i3−i3i3−i3i3−i300000000000000
χ37222-2-22-1-1-1222-1-1-1-1-1-12-1-1-12-22-1-1-12-2-21111112-2-2-2-222-1-1-1-1-1-12-1-1-122-2111-2-2111111-2-21111112-1-1-122-1-1-1-1-1-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000i3−i3i3−i3i3−i300000000000000
χ38222-2-22-1-1-1222-1-1-1-1-1-12-1-1-12-22-1-1-12-2-21111112-2-2-2-222-1-1-1-1-1-12-1-1-122-2111-2-2111111-2-21111112-1-1-122-1-1-1-1-1-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000−i3i3−i3i3−i3i300000000000000
χ39222-2-2-12-1-12-1-122-1-1-1-1-12-1-122-12-1-1-211-2-211112-2-222-1-122-1-1-1-1-12-1-1-2-2-12-1-111-2-21111-1-122-1-1-1-11-21111-2-2111100−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i30−i3i300−i3i3i3−i300000000000000
χ40222-2-2-12-1-12-1-122-1-1-1-1-12-1-122-12-1-1-211-2-211112-2-222-1-122-1-1-1-1-12-1-1-2-2-12-1-111-2-21111-1-122-1-1-1-11-21111-2-2111100i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i30i3−i300i3−i3−i3i300000000000000
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χ43222-2-2-1-12-12-1-1-1-122-1-1-1-12-122-1-12-1-21111-2-2112-2-222-1-1-1-122-1-1-1-12-1-2-2-1-12-11111-2-211-1-1-1-122-1-111-211111-2-21100−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i30−i3i3i3−i300−i3i300000000000000
χ44222-2-2-1-12-12-1-1-1-122-1-1-1-12-122-1-12-1-21111-2-2112-2-222-1-1-1-122-1-1-1-12-1-2-2-1-12-11111-2-211-1-1-1-122-1-111-211111-2-21100i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i30i3−i3−i3i300i3−i300000000000000
χ45222-2-2-1-12-12-1-1-1-122-1-1-1-12-12-2-1-12-121111-2-2112-2-2-2-2-1-1-1-122-1-1-1-12-12211-211111-2-2111111-2-211-1-12-1-1-1-1-122-1-100−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i30i3−i3−i3i300i3−i300000000000000
χ46222-2-2-1-12-12-1-1-1-122-1-1-1-12-12-2-1-12-121111-2-2112-2-2-2-2-1-1-1-122-1-1-1-12-12211-211111-2-2111111-2-211-1-12-1-1-1-1-122-1-100i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i30−i3i3i3−i300−i3i300000000000000
χ47222-2-2-1-1-122-1-1-1-1-1-122-1-1-1222-1-1-12-2111111-2-22-2-222-1-1-1-1-1-122-1-1-12-2-2-1-1-12111111-2-2-1-1-1-1-1-122111-2111111-2-200−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000−i3i3−i3i3i3−i30000000000000000
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χ5122-22-222222-2-2-2-2-2-2-2-2222220222202-22-22-22-2-22-200-2-2-2-2-2-2-2-222220000002-22-22-22-200000000000000000000000000000000000000000000000020-2002200-2-200
χ5222-22-222222-2-2-2-2-2-2-2-2222220222202-22-22-22-2-22-200-2-2-2-2-2-2-2-222220000002-22-22-22-2000000000000000000000000000000000000000000000000-20200-2-2002200
χ5322-22-22222-1-2-2-2-2-2-2-2-22222-10-1-1-1-102-22-22-22-21-11−i3i311111111-1-1-1-1−i3i30000-11-11-11-11−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000020-2−i3i3-1-1i3−i31100
χ5422-22-22222-1-2-2-2-2-2-2-2-22222-10-1-1-1-102-22-22-22-21-11−i3i311111111-1-1-1-1−i3i30000-11-11-11-11−i3i3−i3i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000-202i3−i311−i3i3-1-100
χ5522-22-22222-1-2-2-2-2-2-2-2-22222-10-1-1-1-102-22-22-22-21-11i3−i311111111-1-1-1-1i3−i30000-11-11-11-11i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000020-2i3−i3-1-1−i3i31100
χ5622-22-22222-1-2-2-2-2-2-2-2-22222-10-1-1-1-102-22-22-22-21-11i3−i311111111-1-1-1-1i3−i30000-11-11-11-11i3−i3i3−i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000-202−i3i311i3−i3-1-100
χ5722-2-2222222-2-2-2-2-2-2-2-222222022220-22-22-22-22-2-2200-2-2-2-2-2-2-2-22222000000-22-22-22-220000000000000000000000000000000000000000000000020-202200-2-20000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.