Finite Group Databasebeta

← Group #72338101

Character table — Group #72338101

Order 8192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164
size11222444444444444888888888888888888888161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464646464646464646464646464128128128128128128128128128128128128128128128128256256256256256256256256
order12222222222222222222222222222222222222222222222222222222222222444444222222444444444444444444444444444444444444444444444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ61111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ71111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ81111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ911111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1111-11-111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1
χ1011111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1111-11-111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1111-11-11111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1211111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-1111-11-11111111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ1311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1-11-1-11-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ1411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11-1-11-1-11-1-1-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ1511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ1611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ17111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1111-1-1-1111-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ18111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1111-1-1-1111-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-11-11
χ19111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-111111-11-1-11-11
χ20111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-11-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-11-111-11-1
χ21111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-111111-111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111-1-1ii−i−iii−i−i−i−iii−i−iiii−i−iii−i−ii
χ22111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-111111-111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-1-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−iii−i−iii−i
χ23111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-1-11-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ24111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-1-11-1111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ25111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-11-111-1-11-111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ26111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-11-111-1-11-111-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1
χ27111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-11-111-11-1
χ28111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-11-1-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-11-11-1-11-11
χ29111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1111-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1111111ii−i−iii−i−i−i−iii−i−iii−iii−i−iii−i
χ30111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111-1-1-1111-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1111111−i−iii−i−iiiii−i−iii−i−ii−i−iii−i−ii
χ31111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ32111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222222222222222222222-2-22222-2-222222222222222222-2-2-222-2-22-200002-2000022-2-2-2-20000000022-2-222-2-222-2-2-2-200000000-2-2-2-2000000002-22-200000000000000000000000000000000
χ342222222222222222222222222222222222-2-2222222-2-22222222222222222-22-2-2-2-222-220000-220000-2-222-2-200000000-2-222-2-222-2-222-2-200000000-2-2-2-200000000-22-2200000000000000000000000000000000
χ3522222222222222222222222222-2-2-2-2-2-2-2-222-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22-2-2-222-2-22-200002-2000022-2-2-2-200000000-2-222-2-22222-2-2-2-200000000222200000000-22-2200000000000000000000000000000000
χ3622222222222222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-22-2-2-2-222-220000-220000-2-222-2-20000000022-2-222-2-2-2-222-2-2000000002222000000002-22-200000000000000000000000000000000
χ372222222222222222222222-2-2-2-2000000002222-2-2-2-22222-2-2000000000000222222222-220202-22020-2-222-2-22200220000000000-2-2-2-22-22-2002-2000000-2-200-2-20000002-2002-200000000000000000000000000
χ382222222222222222222222-2-2-2-2000000002222-2-2-2-22222-2-2000000000000222222222-2-20-202-2-20-20-2-222-2-2-2-200-2-20000000000-2-2-2-22-2-2200-22000000220022000000-2200-2200000000000000000000000000
χ392222222222222222222222-2-2-2-20000000022-2-2-2-2-2-2-2-222-2-20000000000002-2-2-222-2-2220202220202-2-2-2-2220022002200000000-2-222-22002-2002-2000000-2-200-2-20000002-2002-2000000000000000000000000
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χ45222222222222222222-2-2-2-22222000000002222-2-2-2-222-2-22200000000000022222222-222020-22202022-2-2-2-22200220000000000-2-2-2-2-22-2200-22000000-2-200-2-2000000-2200-2200000000000000000000000000
χ46222222222222222222-2-2-2-22222000000002222-2-2-2-222-2-22200000000000022222222-22-20-20-22-20-2022-2-2-2-2-2-200-2-20000000000-2-2-2-2-222-2002-20000002200220000002-2002-200000000000000000000000000
χ47222222222222222222-2-2-2-222220000000022-2-2-2-2-2-2-2-2-2-2220000000000002-2-2-222-2-2-2-2020-2-2-2020-2222222002200-2-200000000-2-2222-200-22002-2000000-2-20022000000-22002-2000000000000000000000000
χ48222222222222222222-2-2-2-222220000000022-2-2-2-2-2-2-2-2-2-2220000000000002-2-2-222-2-2-2-20-202-2-20-20222222200-2-2002200000000-2-2222-2002-200-220000002200-2-20000002-200-22000000000000000000000000
χ49222222222222222222-2-2-2-2222200000000-2-222-2-2-2-2-2-2-2-222000000000000-22-2-2-2-222220202220202-2-2-2-222002200220000000022-2-22-200-2200-22000000-2-200-2-2000000-2200-22000000000000000000000000
χ50222222222222222222-2-2-2-2222200000000-2-222-2-2-2-2-2-2-2-222000000000000-22-2-2-2-222220-20-2220-20-2-2-2-2-22200-2-200-2-20000000022-2-22-2002-2002-20000002200220000002-2002-2000000000000000000000000
χ51222222222222222222-2-2-2-2222200000000-2-2-2-2-2-2-2-222-2-222000000000000-2-222-2-2-2-22-220-202-220-20-2-222-2-22200-2-200000000002222-22-22002-2000000-2-20022000000-22002-200000000000000000000000000
χ52222222222222222222-2-2-2-2222200000000-2-2-2-2-2-2-2-222-2-222000000000000-2-222-2-2-2-22-2-20202-2-2020-2-222-2-2-2-2002200000000002222-222-200-220000002200-2-20000002-200-2200000000000000000000000000
χ53222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-22-2-2-222-2-2-220000-220000-2-222-2-20000000022-2-2-2-22222-2-22200000000-2-222000000002-2-2200000000000000000000000000000000
χ54222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2-22-2-2-2-2222-200002-2000022-2-2-2-200000000-2-22222-2-2-2-2222200000000-2-22200000000-222-200000000000000000000000000000000
χ55222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222222-2-2-222-2-2-220000-220000-2-222-2-200000000-2-22222-2-222-2-2220000000022-2-200000000-222-200000000000000000000000000000000
χ56222222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22-2-2-2-2222-200002-2000022-2-2-2-20000000022-2-2-2-222-2-222220000000022-2-2000000002-2-2200000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).