Finite Group Databasebeta

← Group #72263027

Character table — Group #72263027

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158
size11111111222222222222444444444444444444444444888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232
order12222222222244444444222222222222444444444444222222222222222222222222444444444444222222444444444444444444444444444444444444444488888888444444444444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ911111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ1011111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ1111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ1311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ1411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ1511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ171-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-111-1-11-1iiii−i−i−i−i11-1-11-11-11-11-111-1-11-111-1-111-1-111-1-1iiii−i−i−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ181-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11-111-1-11-1−i−i−i−iiiii11-1-11-11-11-11-111-1-11-111-1-111-1-111-1-1−i−i−i−iiiii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ191-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-111-11iiii−i−i−i−i-1-111-111-11-1-11-1-111-1111-1-1-1-111-1-111iiii−i−i−i−iii−i−i−i−iii−i−iiiii−i−i−i−iii−i−iii
χ201-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-111-11−i−i−i−iiiii-1-111-111-11-1-11-1-111-1111-1-1-1-111-1-111−i−i−i−iiiii−i−iiiii−i−iii−i−i−i−iiiii−i−iii−i−i
χ211-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-11iiii−i−i−i−i-1-111-11-11-111-1-1-111-11-1-11111-1-111-1-1−i−i−i−iiiii−i−iiiii−i−iii−i−iii−i−i−i−iii−i−iii
χ221-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-11−i−i−i−iiiii-1-111-11-11-111-1-1-111-11-1-11111-1-111-1-1iiii−i−i−i−iii−i−i−i−iii−i−iii−i−iiiii−i−iii−i−i
χ231-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-11-1-1111-1iiii−i−i−i−i11-1-11-1-11-11-1111-1-11-1-1-111-1-111-1-111−i−i−i−iiiii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−i
χ241-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1-1-1-11-1-1111-1−i−i−i−iiiii11-1-11-1-11-11-1111-1-11-1-1-111-1-111-1-111iiii−i−i−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii
χ251-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-111-11iiii−i−i−i−i11-1-1-111-1-111-111-1-1-11-1-11111-1-1-1-111iiii−i−i−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iii
χ261-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-111-11−i−i−i−iiiii11-1-1-111-1-111-111-1-1-11-1-11111-1-1-1-111−i−i−i−iiiiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i
χ271-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-111-1-11-1iiii−i−i−i−i-1-1111-11-1-11-11-1-1111-1-1-111-1-11111-1-1iiii−i−i−i−i−i−iii−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ281-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-111-1-11-1−i−i−i−iiiii-1-1111-11-1-11-11-1-1111-1-1-111-1-11111-1-1−i−i−i−iiiiiii−i−iii−i−i−i−iiiii−i−iii−i−i−i−iii
χ291-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-11-1-1111-1iiii−i−i−i−i-1-1111-1-111-11-1-1-1111-111-1-111-1-1-1-111−i−i−i−iiiiiii−i−iii−i−i−i−iii−i−iii−i−iiiii−i−i
χ301-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-1-1-11111-11-1-1111-1−i−i−i−iiiii-1-1111-1-111-11-1-1-1111-111-1-111-1-1-1-111iiii−i−i−i−i−i−iii−i−iiiii−i−iii−i−iii−i−i−i−iii
χ311-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1111-1-1-11iiii−i−i−i−i11-1-1-11-111-1-1111-1-1-1111-1-1-1-11111-1-1−i−i−i−iiiiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ321-1-11-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11111-1111-1-1-11−i−i−i−iiiii11-1-1-11-111-1-1111-1-1-1111-1-1-1-11111-1-1iiii−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ332222222222222222222222-2-2-2-22-2-22-2-222-2-2-2-22-2-22-2-20000000022-2-222-2-200000000222200000000222222-2-2000000000000-2-2-2-2000000002200000000-2-2-2-200000000000000000000000000000000
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χ3822222222222222222222-2-222-2-2-22-2-22-2-2-222-2-2-22-2-22-20000000022-2-222-2-20000-2-2-2-2000000000000-2-2000000000000002222002200-2-2-2-2-2-20000002222000000000000000000000000000000000000
χ3922222222222222222222-2-222-2-2-22-2-22-2-2-222-2-2-22-2-22-200000000-2-222-2-222000022220000000000002200000000000000222200-2-20022-2-2-2-2000000-2-2-2-2000000000000000000000000000000000000
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χ4322222222222222222222-2-2-2-222-2-22-2-22-2-2-2-222-2-22-2-22-2-2-2-2-2-2-2-222222222-2-2-2-20000000022222222-2-200000000000000000000-2-2-2-20000000022220000000000000000000000000000000000000000
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χ49222222222222-2-2-2-2-2-2-2-222-2-2222-222-22-2-222-2-2-22-2-22-2000000000000000022220000000000000000002-22-200000000002-22-20000-2-2002-22-2002-22-20000-22-2200000000000000000000000000000000
χ50222222222222-2-2-2-2-2-2-2-222-2-2222-222-22-2-222-2-2-22-2-22-200000000000000002222000000000000000000-22-220000000000-22-220000-2-200-22-22002-22-200002-22-200000000000000000000000000000000
χ51222222222222-2-2-2-2-2-2-2-222-2-2222-222-22-2-222-2-2-22-2-22-20000000000000000-2-2-2-20000000000000000002-22-20000000000-22-2200002200-22-2200-22-220000-22-2200000000000000000000000000000000
χ52222222222222-2-2-2-2-2-2-2-222-2-2222-222-22-2-222-2-2-22-2-22-20000000000000000-2-2-2-2000000000000000000-22-2200000000002-22-2000022002-22-200-22-2200002-22-200000000000000000000000000000000
χ53222222222222-2-2-2-2-2-2-2-2-2-22222-222-22222-2-2-2-22-2-22-2-2000000000000000022222222222200000000000000-2-20000000000002200-2-2-2-20000-2-2-22-22-22-22000000000000000000000000000000000000
χ54222222222222-2-2-2-2-2-2-2-2-2-22222-222-22222-2-2-2-22-2-22-2-200000000000000002222-2-2-2-2-2-2-2-20000000000000022000000000000-2-200-2-222000022-22-222-22-2000000000000000000000000000000000000
χ55222222222222-2-2-2-2-2-2-2-2-2-22222-222-22222-2-2-2-22-2-22-2-20000000000000000-2-2-2-22222-2-2-2-20000000000000022000000000000-2-20022-2-20000222-22-2-22-22000000000000000000000000000000000000
χ56222222222222-2-2-2-2-2-2-2-2-2-22222-222-22222-2-2-2-22-2-22-2-20000000000000000-2-2-2-2-2-2-2-2222200000000000000-2-2000000000000220022220000-2-22-22-22-22-2000000000000000000000000000000000000
χ57222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-222-2-200000000000000002222-2-222-2-2220000002200000000-22-22-2-20000002-22-2-2-200000000000000000000000000000000000000000000
χ58222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222222-2-222-2-20000000000000000-2-2-2-2-2-222-2-222000000-2-2000000002-22-222000000-22-222200000000000000000000000000000000000000000000
χ59222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-222-2-2220000000000000000222222-2-222-2-200000022000000002-22-2-2-2000000-22-22-2-200000000000000000000000000000000000000000000
χ60222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-222-2-2220000000000000000-2-2-2-222-2-222-2-2000000-2-200000000-22-22220000002-22-22200000000000000000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).