Finite Group Databasebeta

← Group #13154270

Character table — Group #13154270

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size111111111111222222444444444444444444666666666666666612121212121212121212121212121212121212121212121218181818181818181818181824242424242424242424242424242424363636363636363636363636363636363636
order1222336666664412121212222244666666661212121233336666666666661212121212121212121212121212121212121212121212122244666612121212666666666666666622444466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ5111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1
χ7111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111
χ9111111111111-1-1-1-1-1-11-11-11-111-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-11-11-11-111-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11-11-11-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11-1111-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-11-1-11-1111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-11-1-1-11111-1-111-1-1
χ13111111111111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-111-1-1-111-1-11111-1-1
χ14111111111111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1111-1-111-1-1-1-111
χ15111111111111-1-1-1-1-1-1-11-111-1-1-111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-11-1-11111-1-1-1-111
χ16111111111111-1-1-1-1-1-1-11-111-1-1-111-1-11111-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-111-111-1-1-1-11111-1-1
χ172222222222222222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000002-1-1-12-1-1-12-1-1-12-1-1-1000000000000000000
χ18222222222222222222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000-12-1-1-12-1-1-12-1-1-12-1-1000000000000000000
χ19222222222222222222222222222222222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000-1-12-1-1-12-1-1-12-1-1-12-1000000000000000000
χ20222222222222222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ2122222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000000000002-1-1-12-1-1-1-2111-2111000000000000000000
χ2222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000-12-1-1-12-1-11-2111-211000000000000000000
χ2322222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000-1-12-1-1-12-111-2111-21000000000000000000
χ2422222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122111111-2-2111111-2-2000000000000-1-1-12-1-1-12111-2111-2000000000000000000
χ25222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000-2111-21112-1-1-12-1-1-1000000000000000000
χ26222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000000000001-2111-211-12-1-1-12-1-1000000000000000000
χ27222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-11111-2-2111111-2-21100000000000011-2111-21-1-12-1-1-12-1000000000000000000
χ28222222222222222222-2-222-2-2-2-2-2-22222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122111111-2-2111111-2-2000000000000111-2111-2-1-1-12-1-1-12000000000000000000
χ29222222222222222222-2-2-2-222-2-2-2-2-2-2-2-222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000-2111-2111-2111-2111000000000000000000
χ30222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000001-2111-2111-2111-211000000000000000000
χ31222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-100000000000011-2111-2111-2111-21000000000000000000
χ32222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000111-2111-2111-2111-2000000000000000000
χ33222222222222-2-2-2-2-2-22-22-22-222-2-222-2-222-2-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-21111110000000000002-1-1-1-21112-1-1-1-2111000000000000000000
χ34222222222222-2-2-2-2-2-22-22-22-222-2-222-2-222-2-2-12-1-1-1-1-1222-1-1-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111000000000000-12-1-11-211-12-1-11-211000000000000000000
χ35222222222222-2-2-2-2-2-22-22-22-222-2-222-2-222-2-2-1-12-1-1-1-1-1-1-1222-1-1-11111-2-211-1-1-1-122-1-11111-2-211000000000000-1-12-111-21-1-12-111-21000000000000000000
χ36222222222222-2-2-2-2-2-22-22-22-222-2-222-2-222-2-2-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2-1-1-1-1-1-122111111-2-2000000000000-1-1-12111-2-1-1-12111-2000000000000000000
χ37222222222222-2-2-2-2-2-22-2-22-2222-2-2-2-222-2-2222-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-10000000000002-1-1-1-2111-21112-1-1-1000000000000000000
χ38222222222222-2-2-2-2-2-22-2-22-2222-2-2-2-222-2-222-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1000000000000-12-1-11-2111-211-12-1-1000000000000000000
χ39222222222222-2-2-2-2-2-22-2-22-2222-2-2-2-222-2-222-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-1-1-1-122-1-1000000000000-1-12-111-2111-21-1-12-1000000000000000000
χ40222222222222-2-2-2-2-2-22-2-22-2222-2-2-2-222-2-222-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-2-1-1-1-1-1-122000000000000-1-1-12111-2111-2-1-1-12000000000000000000
χ41222222222222-2-2-2-2-2-2-222-2-22-2-22222-2-2-2-2222-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000000000000-21112-1-1-12-1-1-1-2111000000000000000000
χ42222222222222-2-2-2-2-2-2-222-2-22-2-22222-2-2-2-222-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-10000000000001-211-12-1-1-12-1-11-211000000000000000000
χ43222222222222-2-2-2-2-2-2-222-2-22-2-22222-2-2-2-222-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-1-1-1-122-1-100000000000011-21-1-12-1-1-12-111-21000000000000000000
χ44222222222222-2-2-2-2-2-2-222-2-22-2-22222-2-2-2-222-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-2-1-1-1-1-1-122000000000000111-2-1-1-12-1-1-12111-2000000000000000000
χ45222222222222-2-2-2-2-2-2-22-222-2-2-222-2-22222-2-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000-21112-1-1-1-21112-1-1-1000000000000000000
χ46222222222222-2-2-2-2-2-2-22-222-2-2-222-2-22222-2-2-12-1-1-1-1-1222-1-1-1-1-1-111-2-21111-1-122-1-1-1-111-2-211110000000000001-211-12-1-11-211-12-1-1000000000000000000
χ47222222222222-2-2-2-2-2-2-22-222-2-2-222-2-22222-2-2-1-12-1-1-1-1-1-1-1222-1-1-11111-2-211-1-1-1-122-1-11111-2-21100000000000011-21-1-12-111-21-1-12-1000000000000000000
χ48222222222222-2-2-2-2-2-2-22-222-2-2-222-2-22222-2-2-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2-1-1-1-1-1-122111111-2-2000000000000111-2-1-1-12111-2-1-1-12000000000000000000
χ492-2-2222-2-2-2-2222-222-2-200000000000000000022222-2-22-2-22-2-22-2-22-22-22-22-200000000000000002-22-222-2-222-2-20000000000000000000000000000000000
χ502-2-2222-2-2-2-2222-222-2-200000000000000000022222-2-22-2-22-2-22-2-22-22-22-22-20000000000000000-22-22-2-222-2-2220000000000000000000000000000000000
χ512-2-2222-2-2-2-222-22-2-22200000000000000000022222-2-22-2-22-2-22-2-2-22-22-22-2200000000000000002-2-2222-2-2-2-2220000000000000000000000000000000000
χ522-2-2222-2-2-2-222-22-2-22200000000000000000022222-2-22-2-22-2-22-2-2-22-22-22-220000000000000000-222-2-2-22222-2-20000000000000000000000000000000000
χ533333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000000000000111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ543333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32333333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i320000000000000000-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ553333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000000011-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ563333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i3233-3-3-3-3−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i320000000000000000-1-111111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ573333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-333-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000000000000-1-1-1-1111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ583333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-333-3-33−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i320000000000000000000000000000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i3200000000000000001111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ593333−3+3i32−3−3i32−3+3i32−3+3i32−3−3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3333−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000000000000000000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000000000000-1-111-1-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
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χ1166-6-66−3−3i3−3+3i33+3i33+3i33−3i33−3i3−3−3i3−3+3i36-6−3−3i3−3+3i33+3i33−3i30000000000000000000000000000000000000000000000000000000000-22-221+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i30000000000000000000000000000000000
χ1176-6-66−3−3i3−3+3i33+3i33+3i33−3i33−3i3−3−3i3−3+3i3-663+3i33−3i3−3−3i3−3+3i300000000000000000000000000000000000000000000000000000000002-2-22−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i30000000000000000000000000000000000
χ1186-6-66−3−3i3−3+3i33+3i33+3i33−3i33−3i3−3−3i3−3+3i3-663+3i33−3i3−3−3i3−3+3i30000000000000000000000000000000000000000000000000000000000-222-21+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i30000000000000000000000000000000000
χ1191212-12-12−6+6i3−6−6i3−6+6i36−6i3−6−6i36+6i36−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1201212-12-12−6−6i3−6+6i3−6−6i36+6i3−6+6i36−6i36+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12112-1212-12−6+6i3−6−6i36−6i3−6+6i36+6i3−6−6i36−6i36+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12212-1212-12−6−6i3−6+6i36+6i3−6−6i36−6i3−6+6i36+6i36−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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