Finite Group Databasebeta

← Group #13161088

Character table — Group #13161088

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1122222222222222222222244444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212242424242424242424363636363636363636363636216216
order12233333446666666666666223333666666666666666661212121212121212121266666666666666666666666612121212121212124412121212121212121212121212121212266666666224466661212121288
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
χ511111111111111111111111-1-111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-1
χ611111111111111111111111-1-111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11
χ711111111111111111111111-1-111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-111-1-111-1-1-11
χ811111111111111111111111-1-111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-111-1-1111-1
χ922222222-2-222222222222222-22222222-2-2222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000
χ1022222222-2-22222222222222-2222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000
χ112222222-122222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000002222-1-1-1-1-1-1-1-100
χ122222222-122222222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-2-2-21111111100
χ132222222-122222222222222-1-2-2-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-10000000000000000000000000002-22-2-1-111-1-11100
χ142222222-122222222222222-1-2-2-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000-22-2211-1-111-1-100
χ152222222-1-2-2222222222222-12-2-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2112222-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000000i3−i3i3−i3i3−i3i3−i300
χ162222222-1-2-2222222222222-12-2-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2112222-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000000000000000000−i3i3−i3i3−i3i3−i3i300
χ172222222-1-2-2222222222222-1-22-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2222211111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000000i3−i3−i3i3i3−i3−i3i300
χ182222222-1-2-2222222222222-1-22-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-2222211111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000000−i3i3i3−i3−i3i3i3−i300
χ192222-1-1-12222-1-1-122-1-1-1-1-1-12222-1-1-12222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-100000000000000
χ202222-1-1-12222-1-1-122-1-1-1-1-1-12222-1-1-12222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-211111100000000000000
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χ222222-1-1-12222-1-1-122-1-1-1-1-1-12-2-22-1-1-12-2-2-2-222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-2111-2111-2-2111111-2-211111122-1-1-1-1-1-1-2-2-2-2-2-2111111111111222-1-1-1-1-1-100000000000000
χ232222-1-1-12-2-22-1-1-122-1-1-1-1-1-122-22-1-1-1222-2-222-1-1-1-1-1-12-1-1-1-2-2111111-2-22-1-1-1-211122-1-1-1-1-1-1-2-2111111-2-2111111000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i300000000000000
χ242222-1-1-12-2-22-1-1-122-1-1-1-1-1-122-22-1-1-1222-2-222-1-1-1-1-1-12-1-1-1-2-2111111-2-22-1-1-1-211122-1-1-1-1-1-1-2-2111111-2-2111111000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3i3i3i300000000000000
χ252222-1-1-12-2-22-1-1-122-1-1-1-1-1-12-222-1-1-12-2-22222-1-1-1-1-1-12-1-1-1-2-2111111-2-2-21112-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000−i3−i3−i3i3i3i300000000000000
χ262222-1-1-12-2-22-1-1-122-1-1-1-1-1-12-222-1-1-12-2-22222-1-1-1-1-1-12-1-1-1-2-2111111-2-2-21112-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000i3i3i3−i3−i3−i300000000000000
χ27222-12-1-1222-12-1-1-1-122-1-1-1-1222-12-1-122222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-100000000000000
χ28222-12-1-1222-12-1-1-1-122-1-1-1-1222-12-1-122222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-211-211-21100000000000000
χ29222-12-1-1222-12-1-1-1-122-1-1-1-12-2-2-12-1-12-2-2-2-2-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1221-2111-21111-2-2111111-2-21111-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-211-211-21100000000000000
χ30222-12-1-1222-12-1-1-1-122-1-1-1-12-2-2-12-1-12-2-2-2-2-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1221-2111-21111-2-2111111-2-21111-1-122-1-1-1-1-2-21111-2-21111-2-211112-1-12-1-12-1-100000000000000
χ31222-12-1-12-2-2-12-1-1-1-122-1-1-1-122-2-12-1-1222-2-2-1-122-1-1-1-1-12-1-111-2-21111-2-2-12-1-11-211-1-122-1-1-1-111-2-2111111-2-2111100i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30i3−i30i3−i30i3−i300000000000000
χ32222-12-1-12-2-2-12-1-1-1-122-1-1-1-122-2-12-1-1222-2-2-1-122-1-1-1-1-12-1-111-2-21111-2-2-12-1-11-211-1-122-1-1-1-111-2-2111111-2-2111100−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30−i3i30−i3i30−i3i300000000000000
χ33222-12-1-12-2-2-12-1-1-1-122-1-1-1-12-22-12-1-12-2-222-1-122-1-1-1-1-12-1-111-2-21111-2-21-211-12-1-111-2-21111-1-122-1-1-1-111-2-2111100i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30−i3i30−i3i30−i3i300000000000000
χ34222-12-1-12-2-2-12-1-1-1-122-1-1-1-12-22-12-1-12-2-222-1-122-1-1-1-1-12-1-111-2-21111-2-21-211-12-1-111-2-21111-1-122-1-1-1-111-2-2111100−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30i3−i30i3−i30i3−i300000000000000
χ35222-1-12-1222-1-12-1-1-1-1-122-1-1222-1-12-122222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-1200000000000000
χ36222-1-12-1222-1-12-1-1-1-1-122-1-1222-1-12-122222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111111-2-2111111-2-2-2111-2111-200000000000000
χ37222-1-12-1222-1-12-1-1-1-1-122-1-12-2-2-1-12-12-2-2-2-2-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12211-2111-211111-2-2111111-2-211-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2111-2111-200000000000000
χ38222-1-12-1222-1-12-1-1-1-1-122-1-12-2-2-1-12-12-2-2-2-2-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12211-2111-211111-2-2111111-2-211-1-1-1-122-1-1-2-2111111-2-2111111-2-22-1-1-12-1-1-1200000000000000
χ39222-1-12-12-2-2-1-12-1-1-1-1-122-1-122-2-1-12-1222-2-2-1-1-1-122-1-1-1-12-11111-2-211-2-2-1-12-111-21-1-1-1-122-1-11111-2-2111111-2-21100i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000i3−i3−i30i3i3−i3000000000000000
χ40222-1-12-12-2-2-1-12-1-1-1-1-122-1-122-2-1-12-1222-2-2-1-1-1-122-1-1-1-12-11111-2-211-2-2-1-12-111-21-1-1-1-122-1-11111-2-2111111-2-21100−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000−i3i3i30−i3−i3i3000000000000000
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χ42222-1-12-12-2-2-1-12-1-1-1-1-122-1-12-22-1-12-12-2-222-1-1-1-122-1-1-1-12-11111-2-211-2-211-21-1-12-11111-2-211-1-1-1-122-1-11111-2-21100−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000i3−i3−i30i3i3−i3000000000000000
χ43222-1-1-12222-1-1-12-1-1-1-1-1-122222-1-1-1222222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-12-12-100000000000000
χ44222-1-1-12222-1-1-12-1-1-1-1-1-122222-1-1-1222222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-211111111-2-211-2-211-21111-21-2100000000000000
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χ46222-1-1-12222-1-1-12-1-1-1-1-1-1222-2-2-1-1-122-2-2-2-2-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222111-2111-2111111-2-2111111-2-2-1-1-1-1-1-122-2-211111111-2-211-2-2112-1-1-1-12-12-100000000000000
χ47222-1-1-122-2-2-1-1-12-1-1-1-1-1-12222-2-1-1-12222-2-2-1-1-1-1-1-122-1-1-12111111-2-2-2-2-1-1-12111-2-1-1-1-1-1-122111111-2-2111111-2-200i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30i3−i3i3−i30−i30i300000000000000
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χ50222-1-1-122-2-2-1-1-12-1-1-1-1-1-1222-22-1-1-122-2-222-1-1-1-1-1-122-1-1-12111111-2-2-2-2111-2-1-1-12111111-2-2-1-1-1-1-1-122111111-2-200−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30i3−i3i3−i30−i30i300000000000000
χ5122-2222222-22222-2-2-2-2-2-2-2-22002222-20000-2-2-2-2-2-2-2-222222-22-22-22-22-20000000000000000000000002-22-22-22-2000000000000000000000000000020-2002200-2-200
χ5222-2222222-22222-2-2-2-2-2-2-2-22002222-20000-2-2-2-2-2-2-2-222222-22-22-22-22-20000000000000000000000002-22-22-22-20000000000000000000000000000-20200-2-2002200
χ5322-222222-222222-2-2-2-2-2-2-2-22002222-20000-2-2-2-2-2-2-2-22222-22-22-22-22-22000000000000000000000000-22-22-22-2200000000000000000000000000020-202200-2-20000
χ5422-222222-222222-2-2-2-2-2-2-2-22002222-20000-2-2-2-2-2-2-2-22222-22-22-22-22-22000000000000000000000000-22-22-22-22000000000000000000000000000-2020-2-200220000
χ5522-22222-12-22222-2-2-2-2-2-2-2-2-100-1-1-1-11i3−i3i3−i311111111-1-1-1-12-22-22-22-2-1100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-11-11000000000000000000000000000020-2i3−i3-1-1−i3i31100
χ5622-22222-12-22222-2-2-2-2-2-2-2-2-100-1-1-1-11i3−i3i3−i311111111-1-1-1-12-22-22-22-2-1100000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3-11-11-11-110000000000000000000000000000-202−i3i311i3−i3-1-100
χ5722-22222-12-22222-2-2-2-2-2-2-2-2-100-1-1-1-11−i3i3−i3i311111111-1-1-1-12-22-22-22-2-1100000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3-11-11-11-11000000000000000000000000000020-2−i3i3-1-1i3−i31100
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Here i is the imaginary unit (i² = −1).