Finite Group Databasebeta

← Group #72324296

Character table — Group #72324296

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size11112222224444888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232326464646464646464128128128128128128128128128128128128
order1222222222222222222222222222222222222222222222444444444444444444444444444444444444442444444444444444444444444444444444444444444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111111-1-1-1-11111-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11111-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ71111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111-1-1-1-11111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111-1-11-1111-1-1-1-1-11-11-111-1-111-1-11-111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1011111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111111-1-11-1111-1-1-1-1-11-11-111-1-111-1-11-111-1-1-1-1-1-11111-1-1-1-11111-1-111
χ1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-11-1-1111-11-1-1-1-11-1-11-1-11111-1-1-11-1-1111111-1-1-1-111-1-111-1-1-1-111
χ1211111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-11-1-1111-11-1-1-1-11-1-11-1-11111-1-1-11-1-111-1-1-1-11111-1-111-1-11111-1-1
χ1311111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-1-1-111-1-1-111-1-1111-1-1-1111111-1-1-1-1-1-111-1-111-1-111
χ1411111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11-1-1-1-1-111-1-1-111-1-1111-1-1-111-1-1-1-1111111-1-111-1-111-1-1
χ1511111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1111-11-11-11-1-11-1-1-1-1-1-11-1111-1-1-1-111-1111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1611111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111111111-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1111-11-11-11-1-11-1-1-1-1-1-11-1111-1-1-1-111-1111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ17111111111111-1-11-1-11111-1-1-1-11111-11111111111111-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-1-111111-11-1ii−i−iii−i−ii−ii−ii−ii−ii−ii−i
χ18111111111111-1-11-1-11111-1-1-1-11111-11111111111111-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-11-1-1-111111-11-1−i−iii−i−iii−ii−ii−ii−ii−ii−ii
χ19111111111111-1-11-1-11111-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-111-1-111-1-1-1-111-11-11-1-111-1-1-11-11ii−i−iii−i−ii−i−ii−iii−i−ii−ii
χ20111111111111-1-11-1-11111-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-111111-1-111111111-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-111-1-111-1-1-1-111-11-11-1-111-1-1-11-11−i−iii−i−iii−iii−ii−i−iii−ii−i
χ21111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-111-1-111-1-1-11-1111-1-111-11-11ii−i−iii−i−i−iii−ii−i−ii−ii−ii
χ22111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1111111-1-1-1-111-1-111-1-1-11-1111-1-111-11-11−i−iii−i−iiii−i−ii−iii−ii−ii−i
χ23111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-111111-11-111-1-1-1-11-11-1ii−i−iii−i−i−ii−ii−ii−iii−ii−i
χ24111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-111111-11-111-1-1-1-11-11-1−i−iii−i−iiii−ii−ii−ii−i−ii−ii
χ25111111111111-1-11-1-1-1-1-1-111111111-11-1-1-1-111-1-111-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1111-1-1-111-11-111-1-11-1-1-1-11-11-1-11ii−i−i−i−iiii−ii−i−ii−iii−i−ii
χ26111111111111-1-11-1-1-1-1-1-111111111-11-1-1-1-111-1-111-1-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1111-1111-1-1-111-11-111-1-11-1-1-1-11-11-1-11−i−iiiii−i−i−ii−iii−ii−i−iii−i
χ27111111111111-1-11-1-1-1-1-1-111111111-11-1-1-1-1-1-111-1-111-1-1-1111111111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-11-11-1111-11-1-111-111-1-111-1-1-1-1-1-11-111-1ii−i−i−i−iiii−i−iii−i−ii−iii−i
χ28111111111111-1-11-1-1-1-1-1-111111111-11-1-1-1-1-1-111-1-111-1-1-1111111111-1-111-1-11111-1-1111111-1-1-1-111-1-1-1-1-1-11-11-1111-11-1-111-111-1-111-1-1-1-1-1-11-111-1−i−iiiii−i−i−iii−i−iii−ii−i−ii
χ29111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1-11111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-11-1-1-1-11-1-1111-1-11-111-111111-1-111-1ii−i−i−i−iii−iii−i−iii−i−iii−i
χ30111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-111-1-1-11111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-11-1-1-1-11-1-1111-1-11-111-111111-1-111-1−i−iiiii−i−ii−i−iii−i−iii−i−ii
χ31111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-11-1-11-1-11-1-1-1111-11-11-1-111111-111-1-11ii−i−i−i−iii−ii−iii−ii−ii−i−ii
χ32111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-11111-1-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-11-1-11-1-11-1-1-1111-11-11-1-111111-111-1-11−i−iiiii−i−ii−ii−i−ii−ii−iii−i
χ33222222222222222222222222200002-222002222000022-2-2-222-222000022220000-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-20000220000-2-2-2-2002200000000-2-2000000000000000000000000
χ34222222222222222222222222200002-22200-2-2-2-2000022-2-2-222-2220000-2-2-2-200002222222222220000-2-2-20000-2-20000-2-2-2-200-2-20000000022000000000000000000000000
χ35222222222222222222222-2-2-2-200002-2-2-20000002222-2-2-222-2-2-222000000000000000000000000-2-2-2-222-202200000-2-22-22-200002222000000-2-2-2-200000000000000000000
χ36222222222222222222222-2-2-2-200002-2-2-2000000-2-2-2-2-2-2-222-2-2-222000000000000000000000000222222-20-2-200000222-22-20000-2-2-2-2000000222200000000000000000000
χ37222222222222222222222-2-2-2-2222222-2-22200000000-2-22-2-2-2-222222220000-2-2-2-20000000000000000-2-22200200-2-200-22-2222000000-2-2-2-200000000000000000000000000
χ38222222222222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000-2-22-2-2-2-2222-2-2-2-2000022220000000000000000-2-22-200-2002200-22-22-2-2000000222200000000000000000000000000
χ3922222222222222222-2-2-2-2222200002-22200000022-2-2-2-2-222-2-2-2-2-2000000000000000000000000-2-22222-202-200000-22-22-22000022-2-2000000-2-22200000000000000000000
χ4022222222222222222-2-2-2-2222200002-222000000-2-222-2-2-222-2-2-2-2-200000000000000000000000022-2-222-20-22000002-2-22-220000-2-22200000022-2-200000000000000000000
χ4122222222222222222-2-2-2-2222222222222-2-200000000-2-22-2-2-2-22-2-222-2-2000022220000000000000000-2-22200-200-2-2002-22-22-2000000-2-22200000000000000000000000000
χ4222222222222222222-2-2-2-22222-2-2-2-222222200000000-2-22-2-2-2-22-2-2-2-2220000-2-2-2-20000000000000000-2-22-20020022002-22-2-2200000022-2-200000000000000000000000000
χ4322222222222222222-2-2-2-2-2-2-2-200002-2-2-20022-2-2000022-2-2-222-2-2-2000022-2-20000-2-2-2-2-2-22222220000-2-2-200002-200002222002-200000000-22000000000000000000000000
χ4422222222222222222-2-2-2-2-2-2-2-200002-2-2-200-2-222000022-2-2-222-2-2-20000-2-2220000222222-2-2-2-2-2-20000-2-2-20000-220000222200-22000000002-2000000000000000000000000
χ45222222222222-2-22-2-2222222220000-2-2-2-2000000222222222-2-2-2-2-20000000000000000000000002222-2-220-2-200000-2-22-2-2200002-22-2000000-22-2200000000000000000000
χ46222222222222-2-22-2-2222222220000-2-2-2-2000000-2-2-2-222222-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2202200000222-2-220000-22-220000002-22-200000000000000000000
χ47222222222222-2-22-2-2222222222222-22-2-2220000000022-2-2-2-2-22-2-2222200002222000000000000000022-2-200-200-2-200-222-2-2-200000022-2-200000000000000000000000000
χ48222222222222-2-22-2-222222222-2-2-2-2-22-2-2-2-20000000022-2-2-2-2-22-2-2-2-2-2-20000-2-2-2-2000000000000000022-22002002200-222-222000000-2-22200000000000000000000000000
χ49222222222222-2-22-2-22222-2-2-2-20000-2-2220022220000-2-22-2-222-2-2-20000-2-2-2-20000-2-22222-2-2222200002220000220000-2-22200-2-200000000-2-2000000000000000000000000
χ50222222222222-2-22-2-22222-2-2-2-20000-2-22200-2-2-2-20000-2-22-2-222-2-2-200002222000022-2-2-2-222-2-2-2-200002220000-2-20000-2-22200220000000022000000000000000000000000
χ51222222222222-2-22-2-2-2-2-2-222220000-2-2-2-20022-2-20000-2-22-2-222-2220000-2-2220000-2-2222222-2-2-2-2000022200002-2000022-2-200-2200000000-22000000000000000000000000
χ52222222222222-2-22-2-2-2-2-2-222220000-2-2-2-200-2-2220000-2-22-2-222-222000022-2-2000022-2-2-2-2-2-2222200002220000-22000022-2-2002-2000000002-2000000000000000000000000
χ53222222222222-2-22-2-2-2-2-2-2-2-2-2-20000-2-22200000022-2-222222-2-2-22200000000000000000000000022-2-2-2-220-2200000-22-222-200002-2-22000000-222-200000000000000000000
χ54222222222222-2-22-2-2-2-2-2-2-2-2-2-20000-2-222000000-2-22222222-2-2-222000000000000000000000000-2-222-2-2202-2000002-2-222-20000-222-20000002-2-2200000000000000000000
χ55222222222222-2-22-2-2-2-2-2-2-2-2-2-22222-2222-2-20000000022-2-2-2-2-222222-2-20000-2-2-2-2000000000000000022-2-200200-2-2002-2-22-22000000222200000000000000000000000000
χ56222222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222220000000022-2-2-2-2-2222-2-22200002222000000000000000022-2200-20022002-2-222-2000000-2-2-2-200000000000000000000000000
χ572222222222-2-222-22-2000000000000-2-20022002222002-2-22-22-220000-2-2002222-2-2000000-2-222-2-2-2-2002-220-2020-2002000000-20-2-2200002-202-220000000000000000000000
χ582222222222-2-222-22-2000000000000-2-2002200-2-2-2-2002-2-22-22-220000-2-200-2-222-2-200000022-2-22222002-2202020200-2000000-2022-200002-20-22-20000000000000000000000
χ592222222222-2-222-22-2000000000000-2-2002222000022-22-2-22-2220000-2-22200-2-222-2-222-2-200000000-2-2-22200-22-20000200000-2-2000-2200-222000-2200000000000000000000
χ602222222222-2-222-22-2000000000000-2-20022-2-20000-2-2-22-2-22-2220000-2-2-2-200-2-22222-2-2220000000022-222002220000-200000-220002-200-22-20002-200000000000000000000
χ612222222222-2-222-22-2000000000000-2-200-2-20022-2-2002-2-22-22-220000220022-2-222000000-2-222-2-222002-22020-20-200-200000020-22-20000-22022-20000000000000000000000
χ622222222222-2-222-22-2000000000000-2-200-2-200-2-222002-2-22-22-2200002200-2-2-2-22200000022-2-222-2-2002-220-20-202002000000202-220000-220-2-220000000000000000000000
χ632222222222-2-222-22-2000000000000-2-200-2-2220000-2-2-22-2-22-222000022220022-2-2-2-222-2-20000000022-222002-2-20000-2000002-20002-2002-220002-200000000000000000000
χ642222222222-2-222-22-2000000000000-2-200-2-2-2-2000022-22-2-22-222000022-2-20022-2-222-2-22200000000-2-2-22200-2-22000020000022000-22002-2-2000-2200000000000000000000
χ652222222222-2-222-22-2000000002222-220000002200222-22-222-2-200-2-2000022000000000022-2-2220022-22-220-200-22-20-20000-200-200-222-2000-2002-200000000000000000000
χ662222222222-2-222-22-2000000002222-22000000-2-200-2-22-22-222-2-200-2-20000-2-20000000000-2-222-2-200-2-2-22-22020022-2020000-2002002-22-2000200-2200000000000000000000
χ672222222222-2-222-22-2000000002222-22000022002200-2222-2-22-200-2-2002200000022-2-22200000022002-2-22-200-20-22-200000-20-20-2200-2200-202-20000000000000000000000
χ682222222222-2-222-22-2000000002222-220000-2-200-2-200-2222-2-22-200-2-200-2-2000000-2-222-2-2000000-2-2002-2-2220020-22200000-20202-200-220020-220000000000000000000000
χ692222222222-2-222-22-200000000-2-2-2-2-220000002200-2-22-22-222-2-20022000022000000000022-2-22200-2-2-22-2-20200-2-22020000200-2002-2-22000-200-2200000000000000000000
χ702222222222-2-222-22-200000000-2-2-2-2-22000000-2-200222-22-222-2-200220000-2-20000000000-2-222-2-20022-22-2-20-2002-220-20000200200-22-220002002-200000000000000000000
χ712222222222-2-222-22-200000000-2-2-2-2-2200002200-2-200-2222-2-22-20022002200000022-2-222000000-2-2002-2-2-2200-202-220000020-202-2002-200-20-220000000000000000000000
χ722222222222-2-222-22-200000000-2-2-2-2-220000-2-2002200-2222-2-22-2002200-2-2000000-2-222-2-200000022002-2-2-2-200202-2-2000002020-22002-200202-20000000000000000000000
χ732222222222-2-2-2-2-2-220000000000002-2002200222200-2222-22-220000-2-200-2-2-2-222000000-2-2-2-2222200-22-2020-20-2002000000202-2-200002-202-2-20000000000000000000000
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Here i is the imaginary unit (i² = −1).