Finite Group Databasebeta

← Group #13154256

Character table — Group #13154256

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131
size111111111111222222222222444444444444444666666666666666612121212121212121212121212121212121212121212121218181818181818181818181818181818181818181818181824242424242424242424242424242424363636363636363636363636
order1222336666664444121212121212121224444661212121212121212333366666666666612121212121212121212121212121212121212121212121222444444666612121212121212121212121266661212121212121212121212122244666612121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-11-1-1-1-1-111-1-1-1-1-1-1111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111
χ4111111111111111111111111-11-1-1-1-1-111-1-1-1-1-1-11111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1
χ511111111111111-1-11111-1-1-1-11-1-1-1111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1
χ611111111111111-1-11111-1-1-1-11-1-1-1111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-111111-1-111
χ711111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1-1-111-1-1-1-1
χ811111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11111-1-11111
χ9111111111111-1-111-1-1-1-111111-11-1-111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-1-1111111
χ10111111111111-1-111-1-1-1-111111-11-1-111-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-1
χ11111111111111-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-1-1-1-1-1-111
χ12111111111111-1-111-1-1-1-11111-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111-1111111-1-1
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-11-111-1-111-1-1
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ172222222222222222222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000000000000000000000002-1-1-12-1-1-12-1-1-12-1-1-1000000000000
χ18222222222222222222222222222222222222222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000-12-1-1-12-1-1-12-1-1-12-1-1000000000000
χ19222222222222222222222222222222222222222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000000000000000-1-12-1-1-12-1-1-12-1-1-12-1000000000000
χ20222222222222222222222222222222222222222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000-1-1-12-1-1-12-1-1-12-1-1-12000000000000
χ21222222222222222222222222-22-2-2-2-2-222-2-2-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000-2111-2111-2111-2111000000000000
χ22222222222222222222222222-22-2-2-2-2-222-2-2-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000000000000000000001-2111-2111-2111-211000000000000
χ23222222222222222222222222-22-2-2-2-2-222-2-2-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-100000000000000000000000011-2111-2111-2111-21000000000000
χ24222222222222222222222222-22-2-2-2-2-222-2-2-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000000000000000111-2111-2111-2111-2000000000000
χ2522222222222222-2-22222-2-2-2-22-2-2-2222-2-2-2-2-2-2222-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000000000000000000000002-1-1-12-1-1-1-2111-2111000000000000
χ2622222222222222-2-22222-2-2-2-22-2-2-2222-2-2-2-2-2-222-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000000000000000-12-1-1-12-1-11-2111-211000000000000
χ2722222222222222-2-22222-2-2-2-22-2-2-2222-2-2-2-2-2-222-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000000000000000-1-12-1-1-12-111-2111-21000000000000
χ2822222222222222-2-22222-2-2-2-22-2-2-2222-2-2-2-2-2-222-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000000000-1-1-12-1-1-12111-2111-2000000000000
χ2922222222222222-2-22222-2-2-2-2-2-222-2-2-2-2-22222-2-22-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000000000000000-2111-21112-1-1-12-1-1-1000000000000
χ3022222222222222-2-22222-2-2-2-2-2-222-2-2-2-2-22222-2-2-12-1-1-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000000000000000000000001-2111-211-12-1-1-12-1-1000000000000
χ3122222222222222-2-22222-2-2-2-2-2-222-2-2-2-2-22222-2-2-1-12-1-1-1-1-1-1-1222-1-1-1-1-1-1-122-1-11111-2-2111111-2-21100000000000000000000000011-2111-21-1-12-1-1-12-1000000000000
χ3222222222222222-2-22222-2-2-2-2-2-222-2-2-2-2-22222-2-2-1-1-12-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-122111111-2-2111111-2-2000000000000000000000000111-2111-2-1-1-12-1-1-12000000000000
χ33222222222222-2-222-2-2-2-222222-22-2-222-2-222-2-2-2-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-21111110000000000000000000000002-1-1-1-21112-1-1-1-2111000000000000
χ34222222222222-2-222-2-2-2-222222-22-2-222-2-222-2-2-2-2-12-1-1-1-1-1222-1-1-1-1-1-111-2-21111-1-122-1-1-1-111-2-21111000000000000000000000000-12-1-11-211-12-1-11-211000000000000
χ35222222222222-2-222-2-2-2-222222-22-2-222-2-222-2-2-2-2-1-12-1-1-1-1-1-1-1222-1-1-11111-2-211-1-1-1-122-1-11111-2-211000000000000000000000000-1-12-111-21-1-12-111-21000000000000
χ36222222222222-2-222-2-2-2-222222-22-2-222-2-222-2-2-2-2-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2-1-1-1-1-1-122111111-2-2000000000000000000000000-1-1-12111-2-1-1-12111-2000000000000
χ37222222222222-2-222-2-2-2-22222-2-2-222-2-2-2-2-2-222222-1-1-1222-1-1-1-1-1-1-1-1-1-2-211111122-1-1-1-1-1-1-2-2111111000000000000000000000000-21112-1-1-1-21112-1-1-1000000000000
χ38222222222222-2-222-2-2-2-22222-2-2-222-2-2-2-2-2-22222-12-1-1-1-1-1222-1-1-1-1-1-111-2-21111-1-122-1-1-1-111-2-211110000000000000000000000001-211-12-1-11-211-12-1-1000000000000
χ39222222222222-2-222-2-2-2-22222-2-2-222-2-2-2-2-2-22222-1-12-1-1-1-1-1-1-1222-1-1-11111-2-211-1-1-1-122-1-11111-2-21100000000000000000000000011-21-1-12-111-21-1-12-1000000000000
χ40222222222222-2-222-2-2-2-22222-2-2-222-2-2-2-2-2-22222-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2-1-1-1-1-1-122111111-2-2000000000000000000000000111-2-1-1-12111-2-1-1-12000000000000
χ41222222222222-2-2-2-2-2-2-2-2-2-2-2-222-22-22222-2-222-2-22-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-10000000000000000000000002-1-1-1-2111-21112-1-1-1000000000000
χ42222222222222-2-2-2-2-2-2-2-2-2-2-2-222-22-22222-2-222-2-2-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-1000000000000000000000000-12-1-11-2111-211-12-1-1000000000000
χ43222222222222-2-2-2-2-2-2-2-2-2-2-2-222-22-22222-2-222-2-2-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-1-1-1-122-1-1000000000000000000000000-1-12-111-2111-21-1-12-1000000000000
χ44222222222222-2-2-2-2-2-2-2-2-2-2-2-222-22-22222-2-222-2-2-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-2-1-1-1-1-1-122000000000000000000000000-1-1-12111-2111-2-1-1-12000000000000
χ45222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-22-2-22222-2-2222-1-1-1222-1-1-1-1-1-1-1-1-1-2-2111111-2-211111122-1-1-1-1-1-1000000000000000000000000-21112-1-1-12-1-1-1-2111000000000000
χ46222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-22-2-22222-2-222-12-1-1-1-1-1222-1-1-1-1-1-111-2-2111111-2-21111-1-122-1-1-1-10000000000000000000000001-211-12-1-1-12-1-11-211000000000000
χ47222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-22-2-22222-2-222-1-12-1-1-1-1-1-1-1222-1-1-11111-2-2111111-2-211-1-1-1-122-1-100000000000000000000000011-21-1-12-1-1-12-111-21000000000000
χ48222222222222-2-2-2-2-2-2-2-2-2-2-2-2-222-22-2-22222-2-222-1-1-12-1-1-1-1-1-1-1-1-1222111111-2-2111111-2-2-1-1-1-1-1-122000000000000000000000000111-2-1-1-12-1-1-12111-2000000000000
χ4922-2-22222-2-2-2-2002i−2i00002i2i−2i−2i00000000000000022222-2-22-2-22-2-22-2-2000000002i−2i2i−2i2i−2i2i−2i00000000002-2002i−2i000022-2-200002i2i−2i−2i0000000000000000000000000000
χ5022-2-22222-2-2-2-2002i−2i00002i2i−2i−2i00000000000000022222-2-22-2-22-2-22-2-2000000002i−2i2i−2i2i−2i2i−2i0000000000-2200−2i2i0000-2-2220000−2i−2i2i2i0000000000000000000000000000
χ5122-2-22222-2-2-2-200−2i2i0000−2i−2i2i2i00000000000000022222-2-22-2-22-2-22-2-200000000−2i2i−2i2i−2i2i−2i2i00000000002-200−2i2i000022-2-20000−2i−2i2i2i0000000000000000000000000000
χ5222-2-22222-2-2-2-200−2i2i0000−2i−2i2i2i00000000000000022222-2-22-2-22-2-22-2-200000000−2i2i−2i2i−2i2i−2i2i0000000000-22002i−2i0000-2-22200002i2i−2i−2i0000000000000000000000000000
χ532-22-222-2-222-2-22i−2i002i2i−2i−2i00000000000000000002222-22-2-22-2-22-2-22-22i−2i2i−2i2i−2i2i−2i00000000000000002-2002i−2i0022-2-200002i2i−2i−2i00000000000000000000000000000000
χ542-22-222-2-222-2-22i−2i002i2i−2i−2i00000000000000000002222-22-2-22-2-22-2-22-22i−2i2i−2i2i−2i2i−2i0000000000000000-2200−2i2i00-2-2220000−2i−2i2i2i00000000000000000000000000000000
χ552-22-222-2-222-2-2−2i2i00−2i−2i2i2i00000000000000000002222-22-2-22-2-22-2-22-2−2i2i−2i2i−2i2i−2i2i00000000000000002-200−2i2i0022-2-20000−2i−2i2i2i00000000000000000000000000000000
χ562-22-222-2-222-2-2−2i2i00−2i−2i2i2i00000000000000000002222-22-2-22-2-22-2-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000-22002i−2i00-2-22200002i2i−2i−2i00000000000000000000000000000000
χ573333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000000000000011111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3200000000000000001111−1−i32−1+i32−1−i32−1+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+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000000000000000000000000000-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i320000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ593333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-33-3-3-33+3i323−3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i32000000000000000000000000000000000000000011-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3200000000000000001-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
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χ613333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233-3-3−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3-3-33−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32000000000000000000000000000000000000000011-1-11111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000000000000-1-11-11+i321−i321+i321−i32−1−i32−1+i321+i321−i32
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χ11466-6-6−3−3i3−3+3i3−3−3i3−3+3i33+3i33−3i33+3i33−3i3006i−6i00006ζ116ζ7−6ζ11−6ζ70000000000000000000000000000000000000000000000000000000002-2002i−2i0000−1−i3−1+i31+i31−i300002ζ112ζ7−2ζ11−2ζ70000000000000000000000000000
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χ11866-6-6−3+3i3−3−3i3−3+3i3−3−3i33−3i33+3i33−3i33+3i3006i−6i00006ζ76ζ11−6ζ7−6ζ110000000000000000000000000000000000000000000000000000000002-2002i−2i0000−1+i3−1−i31−i31+i300002ζ72ζ11−2ζ7−2ζ110000000000000000000000000000
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χ1226-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36i−6i006ζ116ζ7−6ζ11−6ζ7000000000000000000000000000000000000000000000000000000000002-2002i−2i00−1−i3−1+i31+i31−i300002ζ112ζ7−2ζ11−2ζ700000000000000000000000000000000
χ1236-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i36i−6i006ζ116ζ7−6ζ11−6ζ700000000000000000000000000000000000000000000000000000000000-2200−2i2i001+i31−i3−1−i3−1+i30000−2ζ11−2ζ72ζ112ζ700000000000000000000000000000000
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χ1256-66-6−3−3i3−3+3i33+3i33−3i3−3−3i3−3+3i33+3i33−3i3−6i6i00−6ζ11−6ζ76ζ116ζ700000000000000000000000000000000000000000000000000000000000-22002i−2i001+i31−i3−1−i3−1+i300002ζ112ζ7−2ζ11−2ζ700000000000000000000000000000000
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χ1276-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i36i−6i006ζ76ζ11−6ζ7−6ζ1100000000000000000000000000000000000000000000000000000000000-2200−2i2i001−i31+i3−1+i3−1−i30000−2ζ7−2ζ112ζ72ζ1100000000000000000000000000000000
χ1286-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−6i6i00−6ζ7−6ζ116ζ76ζ11000000000000000000000000000000000000000000000000000000000002-200−2i2i00−1+i3−1−i31−i31+i30000−2ζ7−2ζ112ζ72ζ1100000000000000000000000000000000
χ1296-66-6−3+3i3−3−3i33−3i33+3i3−3+3i3−3−3i33−3i33+3i3−6i6i00−6ζ7−6ζ116ζ76ζ1100000000000000000000000000000000000000000000000000000000000-22002i−2i001−i31+i3−1+i3−1−i300002ζ72ζ11−2ζ7−2ζ1100000000000000000000000000000000
χ13012-12-1212−6−6i3−6+6i36+6i36−6i36+6i36−6i3−6−6i3−6+6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13112-12-1212−6+6i3−6−6i36−6i36+6i36−6i36+6i3−6+6i3−6−6i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.