Finite Group Databasebeta

← Group #72270958

Character table — Group #72270958

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165
size1122222444444444444444444444121224242411222224444444444444444444441212242424224444488888888888888888888824244848482244444888888888888888888888242448484822444448888888888888888888882424484848
order12222362224446666666661212121212122244422222662224446666666661212121212122244422222662224446666666661212121212122244422222662224446666666661212121212122244444444121244444412121212121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-1
χ311111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-1
χ411111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-111
χ51111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-1
χ61111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-11
χ71111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-11
χ81111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-1
χ922222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000
χ1022222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-1111100000
χ1122222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-11100000
χ1222222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-100000
χ13222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000
χ14222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000
χ15222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000222-2-2-1-100200-2-111i3−i3i3−i3-1-1i3−i3i3−i31100000
χ16222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000
χ17222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000222-2-2-1-100-2002-111i3−i3−i3i311i3−i3−i3i3-1-100000
χ18222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000222-2-2-1-100-2002-111−i3i3i3−i311−i3i3i3−i3-1-100000
χ1922-22-2220200-20-22-200220000-2-2000000022-22-2220200-20-22-200220000-2-2000000022-22-2220200-20-22-200220000-2-2000000022-22-2220200-20-22-200220000-2-2000000022-22-2220200-20-22-200220000-2-20000000
χ2022-22-2220-20020-22-200-2-2000022000000022-22-2220-20020-22-200-2-2000022000000022-22-2220-20020-22-200-2-2000022000000022-22-2220-20020-22-200-2-2000022000000022-22-2220-20020-22-200-2-20000220000000
χ2122-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000022-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000022-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000022-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i30000022-22-2-1-10200-201-11i3−i3-1-1i3−i3−i3i311i3−i300000
χ2222-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000022-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000022-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000022-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i30000022-22-2-1-10200-201-11−i3i3-1-1−i3i3i3−i311−i3i300000
χ2322-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000022-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000022-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000022-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i30000022-22-2-1-10-200201-11i3−i311−i3i3−i3i3-1-1−i3i300000
χ2422-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000022-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000022-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000022-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i30000022-22-2-1-10-200201-11−i3i311i3−i3i3−i3-1-1i3−i300000
χ2522-2-2222200-200-2-22220000-2-200000000022-2-2222200-200-2-22220000-2-200000000022-2-2222200-200-2-22220000-2-200000000022-2-2222200-200-2-22220000-2-200000000022-2-2222200-200-2-22220000-2-2000000000
χ2622-2-2222-200200-2-22-2-200002200000000022-2-2222-200200-2-22-2-200002200000000022-2-2222-200200-2-22-2-200002200000000022-2-2222-200200-2-22-2-200002200000000022-2-2222-200200-2-22-2-2000022000000000
χ2722-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i30000022-2-22-1-1200-20011-1-1-1i3−i3i3−i311−i3i3−i3i300000
χ2822-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i30000022-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i30000022-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i30000022-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i30000022-2-22-1-1200-20011-1-1-1−i3i3−i3i311i3−i3i3−i300000
χ2922-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000022-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000022-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000022-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i30000022-2-22-1-1-20020011-111i3−i3−i3i3-1-1−i3i3i3−i300000
χ3022-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i30000022-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i30000022-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i30000022-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i30000022-2-22-1-1-20020011-111−i3i3i3−i3-1-1i3−i3−i3i300000
χ314-40004-40000000000000000000002-20004-40004-40000000000000000000002-20004-40004-40000000000000000000002-20004-40004-40000000000000000000002-20004-40004-40000000000000000000002-2000
χ324-40004-4000000000000000000000-220004-40004-4000000000000000000000-220004-40004-4000000000000000000000-220004-40004-4000000000000000000000-220004-40004-4000000000000000000000-22000
χ338-8000-44000000000000000000000000008-8000-44000000000000000000000000008-8000-44000000000000000000000000008-8000-44000000000000000000000000008-8000-4400000000000000000000000000
χ34111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ351111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ3611111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-111111111-1-11-1-111111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111-1-1-111
χ3711111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-11111-1-11111111-1-1
χ381111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-11111111-11-1-11-1111-1-111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-11-11-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-111-1-11-11
χ391111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-111111111-11-1-11-1111-1-111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-11111-11-1-1-1-1-1-1-1-11-111-11-1-1-111-1-11111-1-11111-11-1
χ401111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-111111111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-11-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-1-1-111-1
χ411111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-11111111-1-11-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-111-1-11-1-1-1-1-1-1-111-111-1-1-1-11111-1-11111-1-111-1-11
χ4222222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000022222-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-2-2-2-211-2-2-2-2-2-211111111111111100000-2-2-2-2-211-2-2-2-2-2-211111111111111100000
χ4322222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-111110000022222-1-12-2-22-2-2-1-1-1-1-11111-1-1111100000-2-2-2-2-211-222-22211111-1-1-1-111-1-1-1-100000-2-2-2-2-211-222-22211111-1-1-1-111-1-1-1-100000
χ4422222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-1110000022222-1-1-22-2-22-2-1-1-111-1-11111-1-11100000-2-2-2-2-2112-222-22111-1-111-1-1-1-111-1-100000-2-2-2-2-2112-222-22111-1-111-1-1-1-111-1-100000
χ4522222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-10000022222-1-1-2-22-2-22-1-1-11111-1-11111-1-100000-2-2-2-2-21122-222-2111-1-1-1-111-1-1-1-11100000-2-2-2-2-21122-222-2111-1-1-1-111-1-1-1-11100000
χ46222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000222-2-22200200-22-2-20000220000-2-200000-2-2-222-2-200-2002-2220000-2-200002200000-2-2-222-2-200-2002-2220000-2-200002200000
χ47222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000222-2-22200-20022-2-20000-2-200002200000-2-2-222-2-200200-2-2220000220000-2-200000-2-2-222-2-200200-2-2220000220000-2-200000
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χ49222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000222-2-2-1-100200-2-111−i3i3−i3i3-1-1−i3i3−i3i31100000-2-2-2221100-20021-1-1i3−i3i3−i311i3−i3i3−i3-1-100000-2-2-2221100-20021-1-1i3−i3i3−i311i3−i3i3−i3-1-100000
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Here i is the imaginary unit (i² = −1).