Finite Group Databasebeta

← Group #72219445

Character table — Group #72219445

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11112222222222444444444444444444444488888888888888888888888888888888888888161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222222222222222222222222222222222222222222222222222222224444444444222444444444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111111111111111111111111111-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111111111111111111111111111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1211111111111111111111111111111111-1-1-1-11111-1-11111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1311111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-1111111111111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1411111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11-1111111111111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1511111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-1
χ1811111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-11-11-11-11
χ1911111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1-11-11
χ2011111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1111111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-1-11-111-11-1
χ2111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11-11-11
χ2211111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-1111-11-11-11-1
χ2311111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-111-111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-11-111-11-1
χ2411111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-111-111-1-1-1-11111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-11-11-1-11-11
χ2511111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-1-1111111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2611111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-111-11-1-1-1-1111111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2711111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-111-1-1-1-1-11111-1-11111-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ2811111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111-111-1-1-1-1-11111-1-11111-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−iii−ii−i−ii
χ2911111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11-111-111111-1-1-1-111-1-1-1-111-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ3011111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11-111-111111-1-1-1-111-1-1-1-111-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ3111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-111-11111-1-1-1-1-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-111-111-11111-1-1-1-1-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iiii−i−ii−iii−i
χ33222222222222222222-2-2222222-2-2-2-2-2-22222-2-2-2-2220000000000000000000022-2-2-2-20000-2-2200-2000000000000000000000000002-22-22-22-20000000000000000
χ34222222222222222222-2-2222222-2-2-2-2-2-22222-2-2-2-2220000000000000000000022-2-2-2-20000-2-2200-200000000000000000000000000-22-22-22-220000000000000000
χ35222222222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000-2-22222000022-2002000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ36222222222222222222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000-2-22222000022-200200000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ3722222222222222-2-2-2-22222-2-2-2-22222222222-2-2-2-22200000000000000002222-2-222222222-2-2-222-22200000000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ3822222222222222-2-2-2-22222-2-2-2-22222222222-2-2-2-2220000000000000000-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000002222222200000000000000000000000000000000
χ3922222222222222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2000000000000000022-2-222-2-2-2-222-2-22222-222-200000000-2-2-2-2222200000000000000000000000000000000
χ4022222222222222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-20000000000000000-2-22222-2-2-2-2-2-222222-222-22000000002222-2-2-2-200000000000000000000000000000000
χ4122222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000-2-2-2-2-2-2000022-200200000000000000000000000000000000002-22-22-22-200000000
χ4222222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2222222222200000000000000000000-2-2-2-2-2-2000022-20020000000000000000000000000000000000-22-22-22-2200000000
χ4322222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000000002222220000-2-2200-200000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ4422222222222222-2-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000000002222220000-2-2200-20000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ4522222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-22222-2-222-2-20000000000000000000022-2-2220000-2-2-2002000000000000000000000000002-2-222-2-220000000000000000
χ4622222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-22222-2-222-2-20000000000000000000022-2-2220000-2-2-200200000000000000000000000000-222-2-222-20000000000000000
χ4722222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000-2-222-2-2000022200-2000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ4822222222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000-2-222-2-2000022200-200000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ4922222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-2222222-2-222-2-200000000000000002222-2-222-2-22222-2-22-2-22-2-200000000-2-222-2-22200000000000000000000000000000000
χ5022222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-2222222-2-222-2-20000000000000000-2-2-2-2-2-222-2-2-2-2-2-2-2-22222220000000022-2-222-2-200000000000000000000000000000000
χ5122222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-222-2-2-2-2-2-22222000000000000000022-2-222-2-22222-2-222-2-22-2-2200000000-2-22222-2-200000000000000000000000000000000
χ5222222222-2-2-2-222-2-2-2-222-2-22222-2-2-2-222-2-2-2-2-2-222220000000000000000-2-22222-2-222-2-22222-22-2-22-20000000022-2-2-2-22200000000000000000000000000000000
χ5322222222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2222222-2-2-2-200000000000000000000-2-2-2-222000022200-200000000000000000000000000000000002-2-222-2-2200000000
χ5422222222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2222222-2-2-2-200000000000000000000-2-2-2-222000022200-20000000000000000000000000000000000-222-2-222-200000000
χ5522222222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-222000000000000000000002222-2-20000-2-2-200200000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ5622222222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-222000000000000000000002222-2-20000-2-2-20020000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ572-2-222-2-2-200002222-2-2-2-200000000002222-2-22-20000000000002222-2-2-2-22-22-22-22-2002-22-22-2000000000022-2-22-2002-200002-2002-2000000000000000000000000
χ582-2-222-2-2-200002222-2-2-2-200000000002222-2-22-20000000000002222-2-2-2-2-22-222-22-200-22-222-2000000000022-2-2-2200-220000-2200-22000000000000000000000000
χ592-2-222-2-2-200002222-2-2-2-200000000002222-2-22-2000000000000-2-2-2-222222-22-22-22-2002-22-22-20000000000-2-2222-2002-20000-2200-22000000000000000000000000
χ602-2-222-2-2-200002222-2-2-2-200000000002222-2-22-2000000000000-2-2-2-22222-22-222-22-200-22-222-20000000000-2-222-2200-2200002-2002-2000000000000000000000000
χ612-2-222-2-2-200002222-2-2-2-2000000000022-2-2222-20000000000002222-2-2-2-22-2-22-22-22002-2-22-220000000000-2-2222-200-2200002-200-22000000000000000000000000
χ622-2-222-2-2-200002222-2-2-2-2000000000022-2-2222-20000000000002222-2-2-2-2-222-2-22-2200-222-2-220000000000-2-222-22002-20000-22002-2000000000000000000000000
χ632-2-222-2-2-200002222-2-2-2-2000000000022-2-2222-2000000000000-2-2-2-222222-2-22-22-22002-2-22-22000000000022-2-22-200-220000-22002-2000000000000000000000000
χ642-2-222-2-2-200002222-2-2-2-2000000000022-2-2222-2000000000000-2-2-2-22222-222-2-22-2200-222-2-22000000000022-2-2-22002-200002-200-22000000000000000000000000
χ652-2-222-2-2-2000022-2-222-2-200000000002222-2-2-2200002222-2-2-2-2000000002-22-2-222-2002-22-2-2200000022-2-20000-2200-22002-2002-200000000000000000000000000
χ662-2-222-2-2-2000022-2-222-2-200000000002222-2-2-2200002222-2-2-2-200000000-22-22-222-200-22-22-2200000022-2-200002-2002-200-2200-2200000000000000000000000000
χ672-2-222-2-2-2000022-2-222-2-200000000002222-2-2-220000-2-2-2-22222000000002-22-2-222-2002-22-2-22000000-2-2220000-2200-2200-2200-2200000000000000000000000000
χ682-2-222-2-2-2000022-2-222-2-200000000002222-2-2-220000-2-2-2-2222200000000-22-22-222-200-22-22-22000000-2-22200002-2002-2002-2002-200000000000000000000000000
χ692-2-222-2-2-2000022-2-222-2-2000000000022-2-222-2200002222-2-2-2-2000000002-2-222-2-22002-2-222-2000000-2-2220000-22002-2002-200-2200000000000000000000000000
χ702-2-222-2-2-2000022-2-222-2-2000000000022-2-222-2200002222-2-2-2-200000000-222-22-2-2200-222-22-2000000-2-22200002-200-2200-22002-200000000000000000000000000
χ712-2-222-2-2-2000022-2-222-2-2000000000022-2-222-220000-2-2-2-22222000000002-2-222-2-22002-2-222-200000022-2-20000-22002-200-22002-200000000000000000000000000
χ722-2-222-2-2-2000022-2-222-2-2000000000022-2-222-220000-2-2-2-2222200000000-222-22-2-2200-222-22-200000022-2-200002-200-22002-200-2200000000000000000000000000
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Here i is the imaginary unit (i² = −1).