Finite Group Databasebeta

← Group #72269979

Character table — Group #72269979

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222222222222444444444444444444444444448888888888888888888888888888161616161616161616161616161616161616161616161616242424242424242424242424242424244848484848484848
order1222222222222234444444466666662244446666666666661212121212121212222222226666666666666666121212128888888824242424242424242424242424242424444444448888888824448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-1
χ10111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-1-111
χ11111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-111
χ12111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-1
χ13111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-111
χ14111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-111-1-1
χ15111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-111-1-1
χ16111111111-1-1-1-111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11-1-111
χ17222222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-200002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ18222222222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ1922222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ2022222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ2122222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ2222222222222222-122222222-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ2322222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3111100002i−2i2i−2i33−3−333−3−3−i−iii−i−iii000000000000000000000000
χ2422222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311110000−2i2i−2i2i−3−333−3−333ii−i−iii−i−i000000000000000000000000
χ2522222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3111100002i−2i2i−2i−3−333−3−333−i−iii−i−iii000000000000000000000000
χ2622222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311110000−2i2i−2i2i33−3−333−3−3ii−i−iii−i−i000000000000000000000000
χ27222222222-2-2-2-222-2-2-2-2-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222200002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ28222222222-2-2-2-222-2-2-2-2-2-2-2-22222222-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022220000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ29222222222-2-2-2-22-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ30222222222-2-2-2-22-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1111111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ31222222222-2-2-2-22-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1111122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ32222222222-2-2-2-22-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-11111-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ33222222222-2-2-2-22-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222-1-1-1-1111111111111111100000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-1-1-1-100002i−2i−2i2i33−3−3−3−333−i−iiiii−i−i000000000000000000000000
χ34222222222-2-2-2-22-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222-1-1-1-1111111111111111100000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-1-1-1-10000−2i2i2i−2i−3−33333−3−3ii−i−i−i−iii000000000000000000000000
χ35222222222-2-2-2-22-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222-1-1-1-1111111111111111100000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-1-1-1-100002i−2i−2i2i−3−33333−3−3−i−iiiii−i−i000000000000000000000000
χ36222222222-2-2-2-22-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-2-22222-1-1-1-1111111111111111100000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-1-1-1-10000−2i2i2i−2i33−3−3−3−333ii−i−i−i−iii000000000000000000000000
χ37222222-2-2-222-2-2-222222-2-2-2-222222222-222-2-2-2-2-2-22222-2-2-2-222-2-222-2-200000000000000000000000022-2-20000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ38222222-2-2-222-2-2-222222-2-2-2-222222222-222-2-2-2-2-2-22222-2-2-2-222-2-222-2-200000000000000000000000022-2-2000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ39222222-2-2-222-2-2-22-2-2-2-2222222222222-2-2-222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000-2-222000000000000000000000000000000000000000000002-22-2
χ40222222-2-2-222-2-2-22-2-2-2-2222222222222-2-2-222-2-2-2-22222-2-2-2-2-2-222-2-222000000000000000000000000-2-22200000000000000000000000000000000000000000000-22-22
χ41222222-2-2-2-2-222-222222-2-2-2-22222222-22-2-222-2-2-2-2-2-2-2-2222222-2-222-2-2000000000000000000000000-2-2220000000000000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ42222222-2-2-2-2-222-222222-2-2-2-22222222-22-2-222-2-2-2-2-2-2-2-2222222-2-222-2-2000000000000000000000000-2-222000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ43222222-2-2-2-2-222-22-2-2-2-222222222222-2222-2-2-2-2-2-2-2-2-2-22222-2-222-2-22200000000000000000000000022-2-2000000000000000000000000000000000000000000002-2-22
χ44222222-2-2-2-2-222-22-2-2-2-222222222222-2222-2-2-2-2-2-2-2-2-2-22222-2-222-2-22200000000000000000000000022-2-200000000000000000000000000000000000000000000-222-2
χ452222-2-222-222-2-2-2222-2-222-2-222-2-2-2-22-222-22-222-2-222-2-222-2-222-2-2-2-2220000000000000000000000002-22-2000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000
χ462222-2-222-222-2-2-2222-2-222-2-222-2-2-2-22-222-22-222-2-222-2-222-2-222-2-2-2-2220000000000000000000000002-22-200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ472222-2-222-222-2-2-22-2-222-2-22222-2-2-2-22-22-22-2222-2-222-2-222-2-2-2-22222-2-2000000000000000000000000-22-22000000000000000000000000000000000000000022-2-20000
χ482222-2-222-222-2-2-22-2-222-2-22222-2-2-2-22-22-22-2222-2-222-2-222-2-2-2-22222-2-2000000000000000000000000-22-220000000000000000000000000000000000000000-2-2220000
χ492222-2-222-2-2-222-2222-2-222-2-222-2-2-2-222-2-22-2222-2-2-2-222-2-22222-2-2-2-222000000000000000000000000-22-22000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ502222-2-222-2-2-222-2222-2-222-2-222-2-2-2-222-2-22-2222-2-2-2-222-2-22222-2-2-2-222000000000000000000000000-22-2200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ512222-2-222-2-2-222-22-2-222-2-22222-2-2-2-222-22-22-222-2-2-2-222-2-222-2-22222-2-20000000000000000000000002-22-200000000000000000000000000000000000000002-22-20000
χ522222-2-222-2-2-222-22-2-222-2-22222-2-2-2-222-22-22-222-2-2-2-222-2-222-2-22222-2-20000000000000000000000002-22-20000000000000000000000000000000000000000-22-220000
χ532222-2-2-2-2222222222-2-2-2-22222-2-2-2-22-2-22-2-22-2-22222-2-2-2-2222222-2-2-2-222-2-222-2-222-2-222-2-222-2-222-2-22-2-22000000000000000000000000000000000000000000000000
χ542222-2-2-2-2222222222-2-2-2-22222-2-2-2-22-2-22-2-22-2-22222-2-2-2-2222222-2-2-2-2-2-222-2-222-2-222-2-222-2-222-2-2222-2-22000000000000000000000000000000000000000000000000
χ552222-2-2-2-22222222-2-22222-2-222-2-2-2-22-2-2-222-2-2-22222-2-2-2-222-2-2-2-22222000000000000000000000000-222-22-22-200002-22-22-22-200000000000000000000000000000000
χ562222-2-2-2-22222222-2-22222-2-222-2-2-2-22-2-2-222-2-2-22222-2-2-2-222-2-2-2-22222000000000000000000000000-222-2-22-220000-22-22-22-2200000000000000000000000000000000
χ572222-2-2-2-2222222-122-2-2-2-222-1-11111-1-2-22-2-2211-1-1-1-11111-1-1-1-1-1-1111122-2-222-2-2-1-111-1-111-1-111-1-111-111-1000000003−3−333−3−333−33−33−33−3000000000000000000000000
χ582222-2-2-2-2222222-122-2-2-2-222-1-11111-1-2-22-2-2211-1-1-1-11111-1-1-1-1-1-1111122-2-222-2-2-1-111-1-111-1-111-1-111-111-100000000−333−3−333−3−33−33−33−33000000000000000000000000
χ592222-2-2-2-2222222-122-2-2-2-222-1-11111-1-2-22-2-2211-1-1-1-11111-1-1-1-1-1-11111-2-222-2-22211-1-111-1-111-1-111-1-1-111-1000000003−3−333−3−33−33−33−33−33000000000000000000000000
χ602222-2-2-2-2222222-122-2-2-2-222-1-11111-1-2-22-2-2211-1-1-1-11111-1-1-1-1-1-11111-2-222-2-22211-1-111-1-111-1-111-1-1-111-100000000−333−3−333−33−33−33−33−3000000000000000000000000
χ612222-2-2-2-2222222-1-2-22222-2-2-1-11111-1-2-2-222-211-1-1-1-11111-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i31-1-112-22-20000-11-11-11-11−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ622222-2-2-2-2222222-1-2-22222-2-2-1-11111-1-2-2-222-211-1-1-1-11111-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i31-1-11-22-2200001-11-11-11-1i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ632222-2-2-2-2222222-1-2-22222-2-2-1-11111-1-2-2-222-211-1-1-1-11111-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i31-1-112-22-20000-11-11-11-11i3−i3−i3i3i3−i3−i3i3000000000000000000000000
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χ652222-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-2222-222-2-2-222-2-22222-2-22222-2-2-2-222-2-2-2-22222-2-222-2-2-2-222-2-222-222-2000000000000000000000000000000000000000000000000
χ662222-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-2222-222-2-2-222-2-22222-2-22222-2-2-2-2-2-22222-2-2-2-222-2-22222-2-222-2-2-222-2000000000000000000000000000000000000000000000000
χ672222-2-2-2-22-2-2-2-222-2-22222-2-222-2-2-2-22222-2-22-2-222-2-22222-2-2-2-2-2-222220000000000000000000000002-2-222-2-2200002-22-2-22-2200000000000000000000000000000000
χ682222-2-2-2-22-2-2-2-222-2-22222-2-222-2-2-2-22222-2-22-2-222-2-22222-2-2-2-2-2-222220000000000000000000000002-2-22-222-20000-22-222-22-200000000000000000000000000000000
χ692222-2-2-2-22-2-2-2-22-122-2-2-2-222-1-11111-122-222-211-1-111-1-1-1-111-1-1-1-1111122-2-2-2-222-1-111-1-11111-1-111-1-11-1-11000000003−3−33−333−33−33−3−33−33000000000000000000000000
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Here i is the imaginary unit (i² = −1).