Finite Group Databasebeta

← Group #13161105

Character table — Group #13161105

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11222222222222222222222444444444444444444444444444448888888888888888888888888888888888121212121212121212121212121212121212242424242424242424727272727272108108108108
order1223333344666666666666622333366666666666661212121212121212121266666666666666666666666666121212121212121244121212121212121212121212121212124121212121212121288242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-11-111-1-11-11-1
χ611111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111-11-11
χ711111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-11-11
χ811111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1111-11-1
χ922222222-2-222222222222222-222222222222222222-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000
χ1022222222-2-22222222222222-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000
χ112222222-122-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000022-1-1-1-10000
χ122222222-122-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000-2-211110000
χ132222222-122-1222222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-21-2-2-2-211111111111111111-1-1-1-1-1-1-1-10000000000000000000000000002-2-1-1110000
χ142222222-122-1222222222222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-2-2-2-21-2-2-2-211111111111111111-1-1-1-1-1-1-1-1000000000000000000000000000-2211-1-10000
χ152222222-1-2-2-12222222222222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2112222-1-2-2-2-21-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000003−33−30000
χ162222222-1-2-2-12222222222222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2112222-1-2-2-2-21-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000−33−330000
χ172222222-1-2-2-1222222222222-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-212222-111111111-1-1-1-1-1-1-1-111111111000000000000000000000000000003−3−330000
χ182222222-1-2-2-1222222222222-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211-2-2-2-212222-111111111-1-1-1-1-1-1-1-11111111100000000000000000000000000000−333−30000
χ192222-1-1-1222222-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000
χ202222-1-1-1222222-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-2-21111110000000000
χ212222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-2111-2-2111-2-2-2111111-2-211111122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111110000000000
χ222222-1-1-1222222-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-2111-2-2111-2-2-2111111-2-211111122-1-1-1-1-1-1-2-2-2-2-2-2111111111111222-1-1-1-1-1-10000000000
χ232222-1-1-12-2-2222-1-1-1-1-1-12-1-1-12-22-1-1-1222-1-1-1-1-1-12-1-1-1-2-2111111-2-22-1-1-12-2111-222-1-1-1-1-1-1-2-2111111-2-2111111000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3i3i3i30000000000
χ242222-1-1-12-2-2222-1-1-1-1-1-12-1-1-12-22-1-1-1222-1-1-1-1-1-12-1-1-1-2-2111111-2-22-1-1-12-2111-222-1-1-1-1-1-1-2-2111111-2-2111111000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i30000000000
χ252222-1-1-12-2-2222-1-1-1-1-1-12-1-1-1-222-1-1-1222-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2111-22-1-1-12-2-211111122-1-1-1-1-1-1-2-2111111000000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000i3i3i3−i3−i3−i30000000000
χ262222-1-1-12-2-2222-1-1-1-1-1-12-1-1-1-222-1-1-1222-1-1-1-1-1-12-1-1-1-2-2111111-2-2-2111-22-1-1-12-2-211111122-1-1-1-1-1-1-2-2111111000000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000−i3−i3−i3i3i3i30000000000
χ27222-12-1-12222-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-10000000000
χ28222-12-1-12222-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-1-1-122-1-1-1-122-12-1-12-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-211-211-2110000000000
χ29222-12-1-12222-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1221-211-21-211-211-2-2111111-2-21111-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-211-211-2110000000000
χ30222-12-1-12222-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1221-211-21-211-211-2-2111111-2-21111-1-122-1-1-1-1-2-21111-2-21111-2-211112-1-12-1-12-1-10000000000
χ31222-12-1-12-2-22-1-122-1-1-1-1-12-1-12-2-12-1-12-1-122-1-1-1-1-12-1-111-2-21111-2-2-12-1-121-211-2-1-122-1-1-1-111-2-2111111-2-2111100−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30−i3i30−i3i30−i3i30000000000
χ32222-12-1-12-2-22-1-122-1-1-1-1-12-1-12-2-12-1-12-1-122-1-1-1-1-12-1-111-2-21111-2-2-12-1-121-211-2-1-122-1-1-1-111-2-2111111-2-2111100i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30i3−i30i3−i30i3−i30000000000
χ33222-12-1-12-2-22-1-122-1-1-1-1-12-1-1-22-12-1-12-1-122-1-1-1-1-12-1-111-2-21111-2-21-211-2-12-1-1211-2-21111-1-122-1-1-1-111-2-2111100−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30i3−i30i3−i30i3−i30000000000
χ34222-12-1-12-2-22-1-122-1-1-1-1-12-1-1-22-12-1-12-1-122-1-1-1-1-12-1-111-2-21111-2-21-211-2-12-1-1211-2-21111-1-122-1-1-1-111-2-2111100i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30−i3i30−i3i30−i3i30000000000
χ35222-1-12-12222-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-120000000000
χ36222-1-12-12222-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-1-1-1-1-122-1-122-1-12-12-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111111-2-2111111-2-2-2111-2111-20000000000
χ37222-1-12-12222-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12211-21-211-21-21111-2-2111111-2-211-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2111-2111-20000000000
χ38222-1-12-12222-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12211-21-211-21-21111-2-2111111-2-211-1-1-1-122-1-1-2-2111111-2-2111111-2-22-1-1-12-1-1-120000000000
χ39222-1-12-12-2-22-1-1-1-122-1-1-1-12-12-2-1-12-12-1-1-1-122-1-1-1-12-11111-2-211-2-2-1-12-1211-21-2-1-1-1-122-1-11111-2-2111111-2-21100−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000−i3i3i30−i3−i3i300000000000
χ40222-1-12-12-2-22-1-1-1-122-1-1-1-12-12-2-1-12-12-1-1-1-122-1-1-1-12-11111-2-211-2-2-1-12-1211-21-2-1-1-1-122-1-11111-2-2111111-2-21100i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000i3−i3−i30i3i3−i300000000000
χ41222-1-12-12-2-22-1-1-1-122-1-1-1-12-1-22-1-12-12-1-1-1-122-1-1-1-12-11111-2-211-2-211-21-2-1-12-121111-2-211-1-1-1-122-1-11111-2-21100−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000i3−i3−i30i3i3−i300000000000
χ42222-1-12-12-2-22-1-1-1-122-1-1-1-12-1-22-1-12-12-1-1-1-122-1-1-1-12-11111-2-211-2-211-21-2-1-12-121111-2-211-1-1-1-122-1-11111-2-21100i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000−i3i3i30−i3−i3i300000000000
χ43222-1-1-122222-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-12-12-10000000000
χ44222-1-1-122222-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222-1-1-122-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-211111111-2-211-2-211-21111-21-210000000000
χ45222-1-1-122222-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222111-2-2111-2-2111111-2-2111111-2-2-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-21111-21-210000000000
χ46222-1-1-122222-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-12222111-2-2111-2-2111111-2-2111111-2-2-1-1-1-1-1-122-2-211111111-2-211-2-2112-1-1-1-12-12-10000000000
χ47222-1-1-122-2-22-1-1-1-1-1-122-1-1-122-2-1-1-122-1-1-1-1-1-122-1-1-12111111-2-2-2-2-1-1-122111-2-2-1-1-1-1-1-122111111-2-2111111-2-200−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30−i3i3−i3i30i30−i30000000000
χ48222-1-1-122-2-22-1-1-1-1-1-122-1-1-122-2-1-1-122-1-1-1-1-1-122-1-1-12111111-2-2-2-2-1-1-122111-2-2-1-1-1-1-1-122111111-2-2111111-2-200i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30i3−i3i3−i30−i30i30000000000
χ49222-1-1-122-2-22-1-1-1-1-1-122-1-1-12-22-1-1-122-1-1-1-1-1-122-1-1-12111111-2-2-2-2111-2-2-1-1-122111111-2-2-1-1-1-1-1-122111111-2-200−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30i3−i3i3−i30−i30i30000000000
χ50222-1-1-122-2-22-1-1-1-1-1-122-1-1-12-22-1-1-122-1-1-1-1-1-122-1-1-12111111-2-2-2-2111-2-2-1-1-122111111-2-2-1-1-1-1-1-122111111-2-200i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30−i3i3−i3i30i30−i30000000000
χ5122-2222222-22-2-2-2-2-2-2-2-22222002222-2-2-2-2-2-2-2-2-222222-22-22-22-22-2000000000000000000000000002-22-22-22-2000000000000000000000000000000000020-2
χ5222-2222222-22-2-2-2-2-2-2-2-22222002222-2-2-2-2-2-2-2-2-222222-22-22-22-22-2000000000000000000000000002-22-22-22-20000000000000000000000000000000000-202
χ5322-222222-222-2-2-2-2-2-2-2-22222002222-2-2-2-2-2-2-2-2-22222-22-22-22-22-2200000000000000000000000000-22-22-22-2200000000000000000000000000000000020-20
χ5422-222222-222-2-2-2-2-2-2-2-22222002222-2-2-2-2-2-2-2-2-22222-22-22-22-22-2200000000000000000000000000-22-22-22-22000000000000000000000000000000000-2020
χ554444-2-2-2-244-244-2-2-2-2-2-24-2-2-244-2111-2-2-2111111-211144-2-2-2-2-2-2-2-24-2-2-2-24-2-2-2-2-2-2111111-2-2111111-2-21111110000000000000000000000000000000000000
χ564444-2-2-2-244-244-2-2-2-2-2-24-2-2-2-4-4-2111-2-2-2111111-211144-2-2-2-2-2-2-2-2-42222-4222222-1-1-1-1-1-122-1-1-1-1-1-1-2-21111110000000000000000000000000000000000000
χ574444-2-2-2-2-4-4-244-2-2-2-2-2-24-2-2-24-4-2111-2-2-2111111-2111-4-4222222224-2-2-2-2-42222-2-211111122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000000000000000000000
χ584444-2-2-2-2-4-4-244-2-2-2-2-2-24-2-2-2-44-2111-2-2-2111111-2111-4-422222222-422224-2-2-2-222-1-1-1-1-1-1-2-211111122-1-1-1-1-1-10000000000000000000000000000000000000
χ59444-24-2-2-244-2-2-244-2-2-2-2-24-2-2441-211-211-2-211111-211-2-244-2-2-2-2-2-2-24-2-2-2-24-2-2-211-2-2111111-2-2111111-2-211110000000000000000000000000000000000000
χ60444-24-2-2-244-2-2-244-2-2-2-2-24-2-2-4-41-211-211-2-211111-211-2-244-2-2-2-2-2-22-42222-4222-1-122-1-1-1-1-1-122-1-1-1-111-2-211110000000000000000000000000000000000000
χ61444-24-2-2-2-4-4-2-2-244-2-2-2-2-24-2-24-41-211-211-2-211111-21122-4-4222222-24-2-2-22-422211-2-21111-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000000000000000000
χ62444-24-2-2-2-4-4-2-2-244-2-2-2-2-24-2-2-441-211-211-2-211111-21122-4-42222222-4222-24-2-2-2-1-122-1-1-1-111-2-21111-1-122-1-1-1-10000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.