Finite Group Databasebeta

← Group #72340458

Character table — Group #72340458

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size1122244444488888888888888888888888888881616161616161616161616161616161616163232323232323232323232323232323232323232323232323232326464646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222444444442222224444444444442222444444444444444444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-11-1-1-11-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-11-1-1-11-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-1-1-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1411111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111111-111-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1511111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-111-1-11111-1-1-1-11111-1-1111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ1711-1-11-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-11-1-1111-1-11-11111-1-111-1-111-1-1-1-11-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811-1-11-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-11-1-1111-1-11-11111-1-111-1-111-1-1-1-11-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911-1-11-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111-11-11-111111-1-1-1-111-1-111-1-11-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2011-1-11-1-1-111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111-11-11-111111-1-1-1-111-1-111-1-11-1-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2111-1-11-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1111111-11-1-1-11-1-111111-1-111-1-1-1-111-1-1-1111-1-1-1-111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2211-1-11-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1111111-11-1-1-11-1-111111-1-111-1-1-1-111-1-1-1111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2311-1-11-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-111-1-11-11-1-11-1111-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ2411-1-11-1-1-111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-111-1-11-11-1-11-1111-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ2511-1-11-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-11-1-1111-1-11-1-1-111-1-111-1-111-1-111-11-1-111-1-11111-1-1-1-11111-1-1-1-1111-1-111-1-11
χ2611-1-11-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-11-1-1111-1-11-1-1-111-1-111-1-111-1-111-11-1-111-1-111-1-11111-1-1-1-11111-1-1-111-1-111-1
χ2711-1-11-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-11-11-1-111-1-1-1-111-1-11111-1111-1-111-1-111-1-1-1-11111-1-1-1-111-111-1-111-1
χ2811-1-11-1-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1111-11-11-11-1-111-1-1-1-111-1-11111-1111-1-111-1-1-1-11111-1-1-1-11111-1-11-1-111-1-11
χ2911-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111-1-111-1-11111-11-1-1-11-1-11-1-111-1-111-1-1-1-111111-1-1-11111-1-111-1-1-1-111-1-11111-1-11-1-11-111-1
χ3011-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111-1-111-1-11111-11-1-1-11-1-11-1-111-1-111-1-1-1-111111-1-1-11111-1-1-1-11111-1-111-1-1-1-111-111-11-1-11
χ3111-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111-1-111-1-1-1-11-11-1-11-1111-1-1-111-1-1-1-11111-1-1111-111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-11
χ3211-1-11-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-111-1-111-1-1-1-11-11-1-11-1111-1-1-111-1-1-1-11111-1-1111-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11-111-1
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χ101888-8-80000000000004-4-444-4-44004-4-44-44-444-4-44004-400000000004-4000000000000000000000000000000000000000000000000000000000000000
χ102888-8-80000000000004-4-44-444-4004-4-44-44-44-444-400-440000000000-44000000000000000000000000000000000000000000000000000000000000000
χ103888-8-8000000000000-444-44-4-4400-444-4-44-444-4-4400-440000000000-44000000000000000000000000000000000000000000000000000000000000000
χ104888-8-8000000000000-444-4-444-400-444-4-44-44-444-4004-400000000004-4000000000000000000000000000000000000000000000000000000000000000
χ105888-8-8000000000000-44-444-44-400-44-444-44-44-44-40000-44000000-4400000000000000000000000000000000000000000000000000000000000000000
χ106888-8-8000000000000-44-44-44-4400-44-444-44-4-44-4400004-40000004-400000000000000000000000000000000000000000000000000000000000000000
χ10788-88-80000000000004-44-44-44-400-44-444-4-44-44-440000-440000004-400000000000000000000000000000000000000000000000000000000000000000
χ10888-88-80000000000004-44-4-44-4400-44-444-4-444-44-400004-4000000-4400000000000000000000000000000000000000000000000000000000000000000
χ10988-88-80000000000004-4-444-4-4400-444-4-444-4-444-4004-40000000000-44000000000000000000000000000000000000000000000000000000000000000
χ11088-88-80000000000004-4-44-444-400-444-4-444-44-4-4400-4400000000004-4000000000000000000000000000000000000000000000000000000000000000
χ11188-88-8000000000000-444-44-4-44004-4-44-444-4-444-400-4400000000004-4000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8000000000000-444-4-444-4004-4-44-444-44-4-44004-40000000000-44000000000000000000000000000000000000000000000000000000000000000
χ11388-88-8000000000000-44-444-44-4004-44-44-4-44-44-4400004-4000000-4400000000000000000000000000000000000000000000000000000000000000000
χ11488-88-8000000000000-44-44-44-44004-44-44-4-444-44-40000-440000004-400000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8888-8-88-80000000000000000000000000000004444000000-4-4-4-4000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8888-8-88-8000000000000000000000000000000-4-4-4-40000004444000000000000000000000000000000000000000000000000000000000000000
χ11732-32000000000000000000000000000000000000000000000000000008-80000000000000000000000000000000000000000000000000000000000000
χ11832-3200000000000000000000000000000000000000000000000000000-880000000000000000000000000000000000000000000000000000000000000

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