Finite Group Databasebeta

← Group #72323229

Character table — Group #72323229

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166
size1122222224444444444444444448888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323264646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222222222222222222444444444444442222222222222222244444444444444444444444444444444444444444244444444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-11111111111111111-1-1-1-1111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ10111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-11111111111111111-1-1-1-1111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ11111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-11111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ12111111111111111111111-1-1-1-1111111111-1-1-1-1111111-1-11111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ13111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ14111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ16111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ1711111111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ1811111111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-1-1-1-111-111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-11-11
χ1911111111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ2011111111111111111-1-1-1-11111111-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-11-11-1
χ2111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-11-1-11-11
χ2211111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-111-11-1
χ2311111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111-11-1
χ2411111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-11-1-11111-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-11-1-11-11
χ2511111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-111-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiii−i−iii−i−ii
χ2611111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-1-1-111-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−iii−i−iii−i
χ2711111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-111-1-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−iii−i−iii−i
χ2811111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-111-1-111-1-1-111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−ii−i−iii−i−ii
χ2911111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-1111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ3011111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-1111-1-1-1-111-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ3111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-11-1-11111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-11-1-11111-1-1-1-1-1-11-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222222222222222222222222222-2-2222222-2-222222222-2-22222-2-2-200000000-2-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-222-2-2-2-2220000000000000000000000000000000000000000
χ3422222222222222222222222222222222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222200000000-2-2222000000002222-2-2-2-20000000000000000-2-2-2-2-2-2-2-222-2-20000000000000000000000000000000000000000
χ35222222222222222222222-2-2-2-2222222222-2-2-2-22222-2-2-2-22222-2-222222222-2-2-2-2-2-2-2-2-200000000-2-2-2-2-2000000002222-2-2-2-200000000000000002222-2-22222-2-20000000000000000000000000000000000000000
χ36222222222222222222222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-222200000000-2-222200000000-2-2-2-2-2-2-2-2000000000000000022222222-2-2220000000000000000000000000000000000000000
χ3722222222222222222-2-2-2-22222222-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-220000000022-2-22000000002222-2-2-2-20000000000000000-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ3822222222222222222-2-2-2-22222222-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-22222222222-2-2-2-222-2000000002222-200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22222220000000000000000000000000000000000000000
χ3922222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2222222-2-2222222-2-2-2-2-2-2-2-2222222-2-220000000022-2-2200000000-2-2-2-2-2-2-2-200000000000000002222-2-2-2-222220000000000000000000000000000000000000000
χ4022222222222222222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222-2000000002222-2000000002222-2-2-2-20000000000000000222222-2-2-2-2-2-20000000000000000000000000000000000000000
χ4122222222222-2-2-2-2-2-2000022-2-222-200000022-2-20000222-20000222222-2-2-2-200000000-2002222000000-20022220022-2-222-2-20000-2-2-2-2-2-2-2-2000022-2-20000002-2000022-2-222-2-20000000000000000000000000000
χ4222222222222-2-2-2-2-2-2000022-2-222-200000022-2-20000222-20000222222-2-2-2-200000000-200-2-2-2-2000000-200-2-2-2-20022-2-222-2-2000022222222000022-2-20000002-20000-2-222-2-2220000000000000000000000000000
χ4322222222222-2-2-2-2-2-2000022-2-222-200000022-2-20000222-2000022-2-2-2-2222200000000-2220000220000-22200002222-2-2-2-222-2-2-2-200000000-2-2-2-2-2-222000000-2222-2-20000000022-2-2000000000000000000000000
χ4422222222222-2-2-2-2-2-2000022-2-222-200000022-2-20000222-2000022-2-2-2-2222200000000-2-2-20000-2-20000-2-2-20000-2-222-2-2-2-2222222000000002222-2-222000000-22-2-22200000000-2-222000000000000000000000000
χ4522222222222-2-2-2-2-2-2000022-2-222-200000022-2-20000-2-22-20000-2-22222-2-2-2-2000000002220000-2-200002220000-2-2-2-222-2-222-2-2-2-2000000002222-2-2220000002-222-2-200000000-2-222000000000000000000000000
χ4622222222222-2-2-2-2-2-2000022-2-222-200000022-2-20000-2-22-20000-2-22222-2-2-2-2000000002-2-200002200002-2-2000022-2-222-2-222222200000000-2-2-2-2-2-2220000002-2-2-2220000000022-2-2000000000000000000000000
χ4722222222222-2-2-2-2-2-2000022-2-222-200000022-2-20000-2-22-20000-2-2-2-2-2-222220000000020022-2-200000020022-2-200-2-22222-2-20000-2-2-2-22222000022-2-2000000-22000022-2-2-2-2220000000000000000000000000000
χ4822222222222-2-2-2-2-2-2000022-2-222-200000022-2-20000-2-22-20000-2-2-2-2-2-2222200000000200-2-222000000200-2-22200-2-22222-2-200002222-2-2-2-2000022-2-2000000-220000-2-22222-2-20000000000000000000000000000
χ4922222222222-2-2-2-2-2-20000-2-22222-2000000-2-222000022-220000222222-2-2-2-200000000-2002222000000-200222200-2-22222-2-20000-2-2-2-2-2-2-2-20000-2-222000000-220000-2-222-2-2220000000000000000000000000000
χ5022222222222-2-2-2-2-2-20000-2-22222-2000000-2-222000022-220000222222-2-2-2-200000000-200-2-2-2-2000000-200-2-2-2-200-2-22222-2-20000222222220000-2-222000000-22000022-2-222-2-20000000000000000000000000000
χ5122222222222-2-2-2-2-2-20000-2-22222-2000000-2-222000022-22000022-2-2-2-2222200000000-2220000220000-222000022-2-222-2-222-2-2-2-200000000-2-2-2-222-2-20000002-2-2-22200000000-2-222000000000000000000000000
χ5222222222222-2-2-2-2-2-20000-2-22222-2000000-2-222000022-22000022-2-2-2-2222200000000-2-2-20000-2-20000-2-2-20000-2-2-2-222-2-222222200000000222222-2-20000002-222-2-20000000022-2-2000000000000000000000000
χ5322222222222-2-2-2-2-2-20000-2-22222-2000000-2-2220000-2-2-220000-2-22222-2-2-2-2000000002220000-2-200002220000-2-222-2-2-2-222-2-2-2-200000000222222-2-2000000-22-2-2220000000022-2-2000000000000000000000000
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χ1581616-161616-1616-16-160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15916-16000000000008-8008-88-88-88-800000000000000000000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16016-16000000000008-8008-88-8-88-880000000000000000000000000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16116-16000000000008-800-88-888-88-80000000000000000000000000000000000000-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16216-16000000000008-800-88-88-88-8800000000000000000000000000000000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16316-1600000000000-88008-8-888-8-8800000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16416-1600000000000-88008-8-88-888-80000000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16516-1600000000000-8800-888-88-8-880000000000000000000000000000000000000-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ16616-1600000000000-8800-888-8-888-800000000000000000000000000000000000004-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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