Finite Group Databasebeta

← Group #72302868

Character table — Group #72302868

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size11111111222222222222222222222222222244444444444444444444444444444444444444444444444444444444888888888888888888888888888832323232323232323232323232323232
order1222444422222244444444444444444444442222222222222222444444444444444444444444444444444444444422444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ4111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−i−iii
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiiii−i−i
χ911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ1011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−i
χ1211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i
χ1711111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-11-11-11-11-11-1
χ1811111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11-11-11-11-11
χ1911111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111i−ii−i−ii−iii−ii−i−ii−ii
χ2011111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−ii−iii−ii−i
χ2111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11-1-111-1-111-1-111-1-11
χ2211111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-111-1-111-1
χ2311111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−ii−iii−ii−i−ii−iii−i
χ2411111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−ii−i−ii−iii−ii−i−ii
χ2511111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111-1-111-1-11-111-1-111-1
χ2611111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-111-1-111-11-1-111-1-11
χ2711111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1i−i−ii−iii−i−iii−ii−i−ii
χ2811111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-1−iii−ii−i−iii−i−ii−iii−i
χ2911111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-11-11-1-11-11-11-11
χ3011111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-11-111-11-11-11-1
χ3111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1i−ii−i−ii−ii−ii−iii−ii−i
χ3211111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-1−ii−iii−ii−ii−ii−i−ii−ii
χ33222222222222222222222222222222222222-2-2-2-20000000022-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-22-2000000002-20000000022-2-222-2-20000000000000000
χ34222222222222222222222222222222222222-2-2-2-200000000-2-222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-222-2200000000-2200000000-2-222-2-2220000000000000000
χ3522222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-2-2-2-2-20000000022222222000000000000000022-2-22-2000000002-200000000-2-222-2-2220000000000000000
χ3622222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000-2-222-2-2-2-200000000222222220000000000000000-2-222-2200000000-220000000022-2-222-2-20000000000000000
χ3722222222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2220000000022-2-2-2-22200000000-2-2-2-22222000000000000000022-2-2-2200000000-220000000022-2-2-2-2220000000000000000
χ3822222222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200000000-2-222-2-22200000000-2-2-2-222220000000000000000-2-2222-2000000002-200000000-2-22222-2-20000000000000000
χ3922222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2220000000022-2-2-2-222000000002222-2-2-2-2000000000000000022-2-2-2200000000-2200000000-2-22222-2-20000000000000000
χ4022222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22200000000-2-222-2-222000000002222-2-2-2-20000000000000000-2-2222-2000000002-20000000022-2-2-2-2220000000000000000
χ412222-2-2-2-2222222-2-2-2-2-2-2000000000000000022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2222-200000000-2222-2-222-2-2000000000000000000000000
χ422222-2-2-2-2222222-2-2-2-2-2-20000000000000000222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-2-22000000002-2-2-222-2-222000000000000000000000000
χ432222-2-2-2-2222222-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2-2-222-2-2-2-2-2-222222222000000000000000000000000-2-2222-200000000-22-2-222-2-222000000000000000000000000
χ442222-2-2-2-2222222-2-2-2-2-2-200000000000000002222-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222200000000000000000000000022-2-2-22000000002-222-2-222-2-2000000000000000000000000
χ452222-2-2-2-2222222-2-2-2-2-2-20000000000000000-2-2-2-2000000002222222200000000000000002222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-222-2-2-2-200000000000000000000000000000000
χ462222-2-2-2-2222222-2-2-2-2-2-20000000000000000-2-2-2-200000000222222220000000000000000-2-2-2-22222-2-2-2-22222-2-2-2-222-2-222-2-222-2-200000000000000000000000000000000
χ472222-2-2-2-2222222-2-2-2-2-2-20000000000000000-2-2-2-200000000-2-2-2-2222200000000000000002222-2-2-2-22222-2-2-2-22222-2-2-2-222-2-2222200000000000000000000000000000000
χ482222-2-2-2-2222222-2-2-2-2-2-20000000000000000-2-2-2-200000000-2-2-2-222220000000000000000-2-2-2-22222-2-2-2-222222222-2-222-2-222-2-22200000000000000000000000000000000
χ492222-2-2-2-2-2-2-2-222-2-22222000000000000000022-2-22222-2-2-2-222-2-2-2-222-2-2-2-22222000000000000000000000000-2-222-22000000002-222-2-2-2-222000000000000000000000000
χ502222-2-2-2-2-2-2-2-222-2-22222000000000000000022-2-22222-2-2-2-2-2-222-2-222-2-2-2-2222200000000000000000000000022-2-22-200000000-22-2-22222-2-2000000000000000000000000
χ512222-2-2-2-2-2-2-2-222-2-22222000000000000000022-2-2-2-2-2-2222222-2-2-2-2222222-2-2-2-2000000000000000000000000-2-222-22000000002-2-2-22222-2-2000000000000000000000000
χ522222-2-2-2-2-2-2-2-222-2-22222000000000000000022-2-2-2-2-2-22222-2-222-2-2222222-2-2-2-200000000000000000000000022-2-22-200000000-2222-2-2-2-222000000000000000000000000
χ532222-2-2-2-2-2-2-2-222-2-222220000000000000000-2-22200000000222222-2-200000000000000002222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000000000
χ542222-2-2-2-2-2-2-2-222-2-222220000000000000000-2-22200000000222222-2-20000000000000000-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-222-2-222220000000000000000-2-22200000000-2-2-2-222-2-200000000000000002222-2-2-2-2-2-2-2-22222222222-2-22222-2-2-2-200000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-222-2-222220000000000000000-2-22200000000-2-2-2-222-2-20000000000000000-2-2-2-222222222-2-2-2-222222222-2-2-2-222-2-200000000000000000000000000000000
χ572-2-2222-2-200002-22-20000000000002i2i2i2i−2i−2i−2i−2i2-200000022-2-22-22-22-200000022-2-200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000002-22-2002i−2i2i−2i00000000002-22-200002i−2i2i−2i0000000000000000
χ582-2-2222-2-200002-22-20000000000002i2i2i2i−2i−2i−2i−2i2-200000022-2-2-22-222-200000022-2-200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000-22-2200−2i2i−2i2i0000000000-22-220000−2i2i−2i2i0000000000000000
χ592-2-2222-2-200002-22-20000000000002i2i2i2i−2i−2i−2i−2i2-2000000-2-2222-22-22-2000000-2-22200002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000002-22-200−2i2i−2i2i0000000000-22-2200002i−2i2i−2i0000000000000000
χ602-2-2222-2-200002-22-20000000000002i2i2i2i−2i−2i−2i−2i2-2000000-2-222-22-222-2000000-2-22200002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000-22-22002i−2i2i−2i00000000002-22-20000−2i2i−2i2i0000000000000000
χ612-2-2222-2-200002-22-20000000000002i2i2i2i−2i−2i−2i−2i-220022-2-200002-2-22-220022-2-200000000−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i2-2-220000002i−2i2i−2i002-22-2000000002i−2i−2i2i0000000000000000
χ622-2-2222-2-200002-22-20000000000002i2i2i2i−2i−2i−2i−2i-220022-2-20000-222-2-220022-2-200000000−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i-222-2000000−2i2i−2i2i00-22-2200000000−2i2i2i−2i0000000000000000
χ632-2-2222-2-200002-22-20000000000002i2i2i2i−2i−2i−2i−2i-2200-2-22200002-2-22-2200-2-22200000000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i2-2-22000000−2i2i−2i2i00-22-22000000002i−2i−2i2i0000000000000000
χ642-2-2222-2-200002-22-20000000000002i2i2i2i−2i−2i−2i−2i-2200-2-2220000-222-2-2200-2-22200000000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i-222-20000002i−2i2i−2i002-22-200000000−2i2i2i−2i0000000000000000
χ652-2-2222-2-200002-22-2000000000000−2i−2i−2i−2i2i2i2i2i2-200000022-2-22-22-22-200000022-2-20000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000002-22-200−2i2i−2i2i00000000002-22-20000−2i2i−2i2i0000000000000000
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χ1274-44-4−4i4i4i−4i-440000004i−4i00−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i00002-2-22-222-200000000−2i2i2i−2i2i−2i−2i2i000000002i−2i−2i2i2-2-22−2i2i2i−2i-222-2000000000000000000000000000000000000000000000000
χ1284-44-4−4i4i4i−4i-440000004i−4i00−2+2i2−2i2+2i−2−2i2−2i−2+2i−2−2i2+2i2−2i−2+2i−2−2i2+2i−2+2i2−2i2+2i−2−2i0000-222-22-2-22000000002i−2i−2i2i−2i2i2i−2i00000000−2i2i2i−2i-222-22i−2i−2i2i2-2-22000000000000000000000000000000000000000000000000
χ1294-4-4444-4-40000-44-44000044-4-4-4-44400000000004-4000000000000004-40000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1304-4-4444-4-40000-44-44000044-4-4-4-4440000000000-4400000000000000-44000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4444-4-40000-44-440000-4-44444-4-400000000004-4000000000000004-4000000000000-444-40000000000000000000000000000000000000000000000000000000000000000
χ1324-4-4444-4-40000-44-440000-4-44444-4-40000000000-4400000000000000-440000000000004-4-440000000000000000000000000000000000000000000000000000000000000000
χ1334-4-44-4-4440000-444-400000000000044-4-4-4-444004-400000000000000-44000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-44-4-4440000-444-400000000000044-4-4-4-44400-44000000000000004-400000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-4-4440000-444-4000000000000-4-44444-4-4004-400000000000000-4400000000-444-400000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-4-4440000-444-4000000000000-4-44444-4-400-44000000000000004-4000000004-4-4400000000000000000000000000000000000000000000000000000000000000000000

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