Finite Group Databasebeta

← Group #72310850

Character table — Group #72310850

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111222222444444444444444444444444444444444444888888888888888888888888888888888888888888881616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232
order12442224442222222222222222224444444444444444442222222222222222222222444444444444444444444422444444444444444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ9111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ10111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ12111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ13111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ14111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ15111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ16111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1711-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1811-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1911-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ2011-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ2111-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ2211-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-11-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ2311-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-11111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ2411-1-1111-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-11-1-11111-1-111-1-1−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ2511-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ2611-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ2711-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ2811-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-1111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ2911-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ3011-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-11-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ3111-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ3211-1-1111-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ3322222222222222-2-2-2-222-2-22222-2-2-2-2-2-222222222-2-222-2-2-2-22-22-20000000000000000-2-22-22-200000000000000002222-2-22-22-20000000000000000000000000000000000000000
χ3422222222222222-2-2-2-222-2-22222-2-2-2-2-2-222222222-2-222-2-2-2-22-22-20000000000000000-2-22-22-20000000000000000-2-2-2-222-22-220000000000000000000000000000000000000000
χ3522222222222222-2-2-2-2-2-22222-2-222-2-2-2-2222222-2-222-2-222-2-2-22-220000000000000000-2-2-22-2200000000000000002222-2-2-22-220000000000000000000000000000000000000000
χ3622222222222222-2-2-2-2-2-22222-2-222-2-2-2-2222222-2-222-2-222-2-2-22-220000000000000000-2-2-22-220000000000000000-2-2-2-2222-22-20000000000000000000000000000000000000000
χ37222222222222-2-222-2-22222-2-222-2-222-2-222-2-2-2-222-2-222222-2-22-2-200000000000000002-2-2-2-2200000000000000000000000000000000002-22-22-22-2000000000000000000000000
χ38222222222222-2-222-2-22222-2-222-2-222-2-222-2-2-2-222-2-222222-2-22-2-200000000000000002-2-2-2-220000000000000000000000000000000000-22-22-22-22000000000000000000000000
χ39222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2-22-22-22200000000000000002-2222-200000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ40222222222222-2-222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2-22-22-22200000000000000002-2222-20000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ41222222222222-2-2-2-22222-2-2-2-22222-2-22222-2-2-2-2222222-2-2-22-2-2-220000000000000000-22-22-2-200000000000000000000000000000000000000000000000000000000002-22-22-22-2
χ42222222222222-2-2-2-22222-2-2-2-22222-2-22222-2-2-2-2222222-2-2-22-2-2-220000000000000000-22-22-2-20000000000000000000000000000000000000000000000000000000000-22-22-22-22
χ43222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-22222-20000000000000000-222-22200000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ44222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-22222-20000000000000000-222-2220000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ452222222222-2-22222-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-222-2-2-2222-220000000000000000-22-2222000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ462222222222-2-22222-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-222-2-2-2222-220000000000000000-22-222200000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ472222222222-2-22222-2-2-2-222-2-2222222-2-2-2-222-2-22222-2-222-22-2-22-20000000000000000-222-2-2-2000000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ482222222222-2-22222-2-2-2-222-2-2222222-2-2-2-222-2-22222-2-222-22-2-22-20000000000000000-222-2-2-200000000000000000000000000000000000000000000000000-22-222-22-200000000
χ492222222222-2-222-2-2222222-2-2-2-222-2-222-2-222-2-2-2-22222222-22-2-2-200000000000000002-2-2-22-20000000000000000000000000000000000000000002-22-22-22-20000000000000000
χ502222222222-2-222-2-2222222-2-2-2-222-2-222-2-222-2-2-2-22222222-22-2-2-200000000000000002-2-2-22-2000000000000000000000000000000000000000000-22-22-22-220000000000000000
χ512222222222-2-222-2-222-2-2-2-2-2-222-2-2-2-222-2-222-2-222-2-2-2-2-2-22-2-222200000000000000002-222-220000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ522222222222-2-222-2-222-2-2-2-2-2-222-2-2-2-222-2-222-2-222-2-2-2-2-2-22-2-222200000000000000002-222-22000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ532222222222-2-2-2-2222222-2-222-2-2222222-2-2-2-222-2-22222-2-2-2-2-222-222-2-222-2-222-2-222-2-2-2-22-2-2222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000
χ542222222222-2-2-2-2222222-2-222-2-2222222-2-2-2-222-2-22222-2-2-2-2-222-2-2-222-2-222-2-222-2-222-2-22-2-22-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000
χ552222222222-2-2-2-22222-2-2222222-2-22222-2-2-2-22222-2-2-2-222-2-22-2-2222-2-222-2-2-2-222-2-222-2-2-222-222-2-222-2-2-2-222-2-22200000000000000000000000000000000000000000000000000
χ562222222222-2-2-2-22222-2-2222222-2-22222-2-2-2-22222-2-2-2-222-2-22-2-22-2-222-2-22222-2-222-2-2-2-2-222-2-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000
χ572222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-22200000000000000002222-2-2000000000000000000000000002-22-22-22-200000000000000000000000000000000
χ582222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-22200000000000000002222-2-200000000000000000000000000-22-22-22-2200000000000000000000000000000000
χ592222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2000000000000000022-2-222000000000000000000000000002-22-2-22-2200000000000000000000000000000000
χ602222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2000000000000000022-2-22200000000000000000000000000-22-222-22-200000000000000000000000000000000
χ6122-2-2222-2-2-22222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-22-2-220000000000000000222-2-22000000000000000022-2-2-222-2-220000000000000000000000000000000000000000
χ6222-2-2222-2-2-22222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-2-2-222-2-22-2-220000000000000000222-2-220000000000000000-2-2222-2-222-20000000000000000000000000000000000000000
χ6322-2-2222-2-2-222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-222-2000000000000000022-222-2000000000000000022-2-2-22-222-20000000000000000000000000000000000000000
χ6422-2-2222-2-2-222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-222-2000000000000000022-222-20000000000000000-2-2222-22-2-220000000000000000000000000000000000000000
χ6522-2-2222-2-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-222222222-2-222-22-2-22-200000000000000002-2-222200000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i
χ6622-2-2222-2-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-222-2-222222222-2-222-22-2-22-200000000000000002-2-22220000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i
χ6722-2-2222-2-2-222-2-222-2-2-2-222-2-22222-2-222-2-22222-2-2-2-222-2-2-2222-2200000000000000002-22-2-2-200000000000000000000000000000000000000000000000000000000002-2-22-222-2
χ6822-2-2222-2-2-222-2-222-2-2-2-222-2-22222-2-222-2-22222-2-2-2-222-2-2-2222-2200000000000000002-22-2-2-20000000000000000000000000000000000000000000000000000000000-222-22-2-22
χ6922-2-2222-2-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-22-2-22220000000000000000-22-2-22-200000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
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Here i is the imaginary unit (i² = −1).