Finite Group Databasebeta

← Group #72227058

Character table — Group #72227058

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172
size1111222222222222224444444444444444444444444444444444444444888888888888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616166464646464646464646464646464646464646464646464646464646464646464128128128128128128128128
order12222244448888888844448888888888888888888816161616161616161616161616161616444416161616161616161616161616161616161616161616161616161616161616161616161616161616888888161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323222224444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1
χ10111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111
χ11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111
χ12111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1
χ13111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111
χ14111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1
χ15111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1
χ16111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111
χ171111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iii−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-11-1i−ii−i
χ181111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iii−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11-11−ii−ii
χ191111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iii−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i-11-11−ii−ii
χ201111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−i1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1iii−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii1-11-1i−ii−i
χ211111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-11-1−ii−ii
χ221111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11-11i−ii−i
χ231111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii-11-11i−ii−i
χ241111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii1111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i1-11-1−ii−ii
χ251111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iii−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-11-1-11i−i−ii
χ261111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iii−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i11-1-1-1-111-111-1−iii−i
χ271111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iii−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-1-11111-1-1-111-1−iii−i
χ281111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iii−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-1111-1-11i−i−ii
χ291111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-1111-1-11−iii−i
χ301111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-1-11111-1-1-111-1i−i−ii
χ311111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii11-1-1-1-111-111-1i−i−ii
χ321111-1-11111111111111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−iiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-11-1-11−iii−i
χ332222222222222222222222222222222222222222222222-2-2-2-22222-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ342222222222222222222222222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ35222222222222222222222222222222222222222222-2-2-2-22222-2-2-2-222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ36222222222222222222222222222222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2222222222222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ3722222222222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000022220000222222220022002200000000000000000000-2-2-2-20000-2-2-2-22-2-22-2-200000000000022-2-2000022-2-22−22−22−22−22−22−22−22−2000000000000000000000000
χ3822222222222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000022220000222222220022002200000000000000000000-2-2-2-20000-2-2-2-22-2-22-2-200000000000022-2-2000022-2-2−22−22−22−22−22−22−22−22000000000000000000000000
χ3922222222222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000222200002222-2-2-2-20022002200000000000000000000-2-2-2-20000-2-2-2-2-222-222000000000000-2-2220000-2-2222−22−22−22−2−22−22−22−22000000000000000000000000
χ4022222222222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000222200002222-2-2-2-20022002200000000000000000000-2-2-2-20000-2-2-2-2-222-222000000000000-2-2220000-2-222−22−22−22−222−22−22−22−2000000000000000000000000
χ4122222222222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-20000-2-2-2-2222200-2-200-2-2000000000000000000002222000022222-2-22-2-2000000000000-2-2220000-2-222i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ4222222222222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-20000-2-2-2-2222200-2-200-2-2000000000000000000002222000022222-2-22-2-2000000000000-2-2220000-2-222−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ4322222222222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-20000-2-2-2-2-2-2-2-200-2-200-2-200000000000000000000222200002222-222-22200000000000022-2-2000022-2-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ4422222222222222-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-20000-2-2-2-2-2-2-2-200-2-200-2-200000000000000000000222200002222-222-22200000000000022-2-2000022-2-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ452222222222-2-2-2-222222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-222220000222200002222220022000000000000000000-2-2-2-20000-2-2-2-20000-22-2-22-20000000022-2-2000022-2-2000000000000000000002−22−22−22−22−22−22−22−200000000
χ462222222222-2-2-2-222222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-222220000222200002222220022000000000000000000-2-2-2-20000-2-2-2-20000-22-2-22-20000000022-2-2000022-2-200000000000000000000−22−22−22−22−22−22−22−2200000000
χ472222222222-2-2-2-222222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222000022220000-2-2-2-2220022000000000000000000-2-2-2-20000-2-2-2-200002-222-2200000000-2-2220000-2-222000000000000000000002−22−22−22−2−22−22−22−2200000000
χ482222222222-2-2-2-222222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-22222000022220000-2-2-2-2220022000000000000000000-2-2-2-20000-2-2-2-200002-222-2200000000-2-2220000-2-22200000000000000000000−22−22−22−222−22−22−22−200000000
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Here i is the imaginary unit (i² = −1).