Finite Group Databasebeta

← Group #72220980

Character table — Group #72220980

Order 3456.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size112222222222244444444444444444444444444444444444488888888888888888888888888888888888888888889916161616161616161616161616161616161616161616181818181818183636363636363636363636363636363636367272727272727272727272727272727272144144144144
order122223336666622233333466666666666666666666666666646666666666666666666666666666666666666121212121222666661212121212121212121212121212121212222666622222224444466666644444666661212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ5111111111111111-111111-1111111111111111111111111111-11111-1-1-1111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-11-11-1111111-11-11-11-11-1-1-1-1-11-11-11-11-1
χ6111111111111111-111111-1111111111111111111111111111-11111-1-1-1111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-11-1-11-11111111-1-11-11-11-11-1-1-1-1-11-11-11-11
χ7111111111111111-111111-1111111111111111111111111111-11111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-11-1-1-1-1-1-111-1-111-1-1111111-1-111-1-11
χ8111111111111111-111111-1111111111111111111111111111-11111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-11-111-1-1-1-1-1-1-11-111-1-111-11111-111-1-111-1
χ91111111111111-1-1111111111-1-1-1-1111111111111111111111-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ101111111111111-1-1111111111-1-1-1-1111111111111111111111-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-1-1-1-11-1-1-1-111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111
χ111111111111111-1-1111111111-1-1-1-1111111111111111111111-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-111-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-111
χ121111111111111-1-1111111111-1-1-1-1111111111111111111111-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-111-1-11111111-1-1-1-111-1-111-1-11111-1-1
χ131111111111111-1-1-111111-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-11-11-1-11-11-111-1-1-1-11-11-111-11-1-1-1111-11-1-11-11
χ141111111111111-1-1-111111-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-11-11-1-11-1111-1-1-1-111-11-1-11-11-1-111-11-111-11-1
χ151111111111111-1-1-111111-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11111-1-1111-1-11-1-11111-1-111-11-1-1111-1-11-1-11-111-1
χ161111111111111-1-1-111111-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1111-111-11-111-1-1-11111-11-1-11-111-111-1-1-111-11-1-11
χ172222222-1-1-1-1222222-1-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122222222222-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1222000020000-1-1-1-1-1-1200000000-1-1-1-100000000
χ182222222-1-1-1-1222222-1-1-1-12-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-122222222222-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-22-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-21111-2-2-20000-20000111111-200000000111100000000
χ192222222-1-1-1-12222-22-1-1-1-1-2-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-22222-2-2122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-2-222-21111-21111-2-2-2-211111111222-1-1-1-122-20000-20000-1-1-1-1-1-1-200000000111100000000
χ202222222-1-1-1-12222-22-1-1-1-1-2-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-12222-22222-2-2122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-2-2-2-2-21111-21111-2-2-2-211111111-2-2-21111-2-22000020000111111200000000-1-1-1-100000000
χ212222222-1-1-1-122-2-222-1-1-1-12-1-1111122222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-222-122-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-11122222-1-1-1-12-1-1-1-1-2-2-2-211111111222-1-1-1-1-2-22000020000-1-11111-200000000-1-11100000000
χ222222222-1-1-1-122-2-222-1-1-1-12-1-1111122222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-222-122-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-11122-2-22-1-1-1-12-1-1-1-1-2-2-2-211111111-2-2-2111122-20000-2000011-1-1-1-120000000011-1-100000000
χ232222222-1-1-1-122-2-2-22-1-1-1-1-2-1-1111122222-1-1-1-1-1-1-1-1-1-1-1-122222-2-2-2-2-2-2122-1-1-1-1-1-1-1-1-2-2-2-211111111111111111-1-1-2-222-21111-211112222-1-1-1-1-1-1-1-1222-1-1-1-1-2-2-20000-20000-1-1111120000000011-1-100000000
χ242222222-1-1-1-122-2-2-22-1-1-1-1-2-1-1111122222-1-1-1-1-1-1-1-1-1-1-1-122222-2-2-2-2-2-2122-1-1-1-1-1-1-1-1-2-2-2-211111111111111111-1-1-2-2-2-2-21111-211112222-1-1-1-1-1-1-1-1-2-2-2111122200002000011-1-1-1-1-200000000-1-11100000000
χ25222222-122222-1222-12-1-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1222-1-12-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-100-12-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-100000000000022000220000000002200-1-1000000-1-100-1-1
χ26222222-122222-1222-12-1-1-122222222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1222-1-12-12-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-100-12-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1000000000000-2-2000-2-2000000000-2-20011000000110011
χ27222222-122222-122-2-12-1-1-1-22222222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-222-1-1-21-2-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21001-21111-2111-2111-2-21111110000000000002-20002-20000000002-200-11000000-1100-11
χ28222222-122222-122-2-12-1-1-1-22222222-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-222-1-1-21-2-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21001-21111-2111-2111-2-2111111000000000000-22000-22000000000-22001-10000001-1001-1
χ29222222-122222-1-2-22-12-1-1-1222-2-2-2-22-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-2-2-2112-12-1-122-1-1-1-1-1-11111-2-2-2-21111111111112-2-22-100-12-1-1-1-12-1-1-1-2111-2-21111110000000000002200022000000000-2-200-1-1000000-1-10011
χ30222222-122222-1-2-22-12-1-1-1222-2-2-2-22-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-1-2-2-2112-12-1-122-1-1-1-1-1-11111-2-2-2-21111111111112-2-22-100-12-1-1-1-12-1-1-1-2111-2-2111111000000000000-2-2000-2-20000000002200110000001100-1-1
χ31222222-122222-1-2-2-2-12-1-1-1-222-2-2-2-22-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-12-2-211-21-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-222-21001-21111-21112-1-1-122-1-1-1-1-1-10000000000002-20002-2000000000-2200-11000000-11001-1
χ32222222-122222-1-2-2-2-12-1-1-1-222-2-2-2-22-1-1-1-1222-1-1-1-1-1-1-1-1-122-1-12-2-211-21-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-222-21001-21111-21112-1-1-122-1-1-1-1-1-1000000000000-22000-220000000002-2001-10000001-100-11
χ3322222-122222-12222-1-12-1-12222222-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1222-1-122-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1200-1-12-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1000000000022000220000000002200-1-1000000-1-100-1-100
χ3422222-122222-12222-1-12-1-12222222-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-1222-1-122-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1200-1-12-1-1-1-12-1-1-12-1-1-1-122-1-1-1-10000000000-2-2000-2-2000000000-2-2001100000011001100
χ3522222-122222-1222-2-1-12-1-1-2222222-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-2-1-1221-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-21-20011-21111-2111-21111-2-2111100000000002-20002-20000000002-200-11000000-1100-1100
χ3622222-122222-1222-2-1-12-1-1-2222222-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-2-1-1221-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-21-20011-21111-2111-21111-2-211110000000000-22000-22000000000-22001-10000001-1001-100
χ3722222-122222-12-2-22-1-12-1-1222-2-2-2-2-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-211-2-2-122-1-1-1-122-1-1-1-111111111-2-2-2-2111111112-2-2-1200-1-12-1-1-1-12-1-11-21111-2-2111100000000002200022000000000-2-200-1-1000000-1-1001100
χ3822222-122222-12-2-22-1-12-1-1222-2-2-2-2-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-122-211-2-2-122-1-1-1-122-1-1-1-111111111-2-2-2-2111111112-2-2-1200-1-12-1-1-1-12-1-11-21111-2-211110000000000-2-2000-2-20000000002200110000001100-1-100
χ3922222-122222-12-2-2-2-1-12-1-1-222-2-2-2-2-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-122211-2-21-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2221-20011-21111-211-12-1-1-1-122-1-1-1-100000000002-20002-2000000000-2200-11000000-11001-100
χ4022222-122222-12-2-2-2-1-12-1-1-222-2-2-2-2-12-1-1-1-1-1-1222-1-1-1-1-1-1-1-122211-2-21-2-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-2221-20011-21111-211-12-1-1-1-122-1-1-1-10000000000-22000-220000000002-2001-10000001-100-1100
χ41222-2-22222222200222222-2-2-2000022222222222222222-2-2-2-200000222-2-2-2-2-2-2-2-2-2-200000000000000000000-200-2-22222222-2-2-2-2-20000000000002-2-222220020000-20000-2-200000000000002-20000000000
χ42222-2-22222222200222222-2-2-2000022222222222222222-2-2-2-200000222-2-2-2-2-2-2-2-2-2-200000000000000000000-200-2-2-2-222222-2-2-2-2-2000000000000-222-2-2-2-200-2000020000220000000000000-220000000000
χ43222-2-22222222200-2222222-2-2000022222222222222222-2-2-2-200000-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000002002222-2-2-2-2-2222220000000000002-2-2222200-2000020000-2-20000000000000-220000000000
χ44222-2-22222222200-2222222-2-2000022222222222222222-2-2-2-200000-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000020022-2-2-2-2-2-2-222222000000000000-222-2-2-2-20020000-200002200000000000002-20000000000
χ45222-2-222-1-1-1-1220022-1-1-1-1-211i3i3−i3−i322222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000022-1-2-2111111110000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i31i3−i3-2-2222-1-1-1-1-211110000i3−i3i3−i3i3i3−i3−i32-2-2-1-1-1-10020000-2000011i3i3−i3−i3000000000-11i3−i300000000
χ46222-2-222-1-1-1-1220022-1-1-1-1-211i3i3−i3−i322222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000022-1-2-2111111110000i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i31i3−i3-2-2-2-22-1-1-1-1-211110000i3−i3i3−i3i3i3−i3−i3-222111100-2000020000-1-1−i3−i3i3i30000000001-1−i3i300000000
χ47222-2-222-1-1-1-1220022-1-1-1-1-211−i3−i3i3i322222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000022-1-2-2111111110000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i31−i3i3-2-2222-1-1-1-1-211110000−i3i3−i3i3−i3−i3i3i32-2-2-1-1-1-10020000-2000011−i3−i3i3i3000000000-11−i3i300000000
χ48222-2-222-1-1-1-1220022-1-1-1-1-211−i3−i3i3i322222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000022-1-2-2111111110000−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i31−i3i3-2-2-2-22-1-1-1-1-211110000−i3i3−i3i3−i3−i3i3i3-222111100-2000020000-1-1i3i3−i3−i30000000001-1i3−i300000000
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χ1608-8000-4-4-44−4i34i3444-40222−1−3i3−1+3i3000−2−2i32+2i3−2+2i32−2i300-26-6-22i3−2i3-22i3−2i31+3i31−3i3−3−i33+i33−i3−3+i300000-22-2200000000000004-4-221+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i3−2−2i32+2i31+i3−1−i31−i3−1+i3−2+2i32−2i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8000-4-4-44−4i34i344-440222−1+3i3−1−3i30002+2i3−2−2i32−2i3−2+2i300-2-66-22i3−2i3-22i3−2i31−3i31+3i33−i3−3+i3−3−i33+i3000002-22-200000000000002-2-44−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i32+2i3−2−2i32−2i3−2+2i3−1+i31−i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8000-4-4-44−4i34i344-440222−1−3i3−1+3i30002+2i3−2−2i32−2i3−2+2i300-26-6-22i3−2i3-22i3−2i31+3i31−3i3−3−i33+i33−i3−3+i3000002-22-20000000000000-442-2−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i32+2i3−2−2i3−1−i31+i3−1+i31−i32−2i3−2+2i3000000000000000000000000000000000000000000000000000000000000000000000000000

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