Finite Group Databasebeta

← Group #72310536

Character table — Group #72310536

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size112224444444488888888888161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464646464646464646464646464646464646464646464646464646464646464128128128128
order1222222222222222222244442222222222444444222444444444444444444444444444444444444444444444444444888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-1-11-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111-1-11-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111-1-111111-1-1-11-1-11-111111-1-1-1-111-1-1-1-1-1-111-11-111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111111-1-1-11-1-11-111111-1-1-1-111-1-1-1-1-1-111-11-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ71111111111111111111111111111111-1-111111-1-1-1-11-1-1111111-1-1-1-1-1-111-1-1-1-11-11-11-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111-1-111111-1-1-1-11-1-1111111-1-1-1-1-1-111-1-1-1-11-11-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111111111-1-111-1-11-1-1-1-1-1-111-11-1-1-111-111-1111111-111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i
χ10111111111111111111-1-111-1-11-1-1-1-1-1-111-11-1-1-111-111-1111111-111-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii
χ11111111111111111111-1-111-1-11-1-1-1-1-1-111-11-1-1-111-1-1-1-1-1-11111-111-1-111111111-1-1-1111111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ12111111111111111111-1-111-1-11-1-1-1-1-1-111-11-1-1-111-1-1-1-1-1-11111-111-1-111111111-1-1-1111111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ13111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-1-111-111-11111-1-1-111-1-111-1-1-1-1-11-1-11-1-1111111-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iii
χ14111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-1-111-111-11111-1-1-111-1-111-1-1-1-1-11-1-11-1-1111111-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i
χ15111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-1-11-111-111111-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i
χ16111111111111111111-1-111-1-11-1-1-1-1-1-1-1-1-11-1-1-1-1-11-111-111111-1-1-11111-1-1-1-1-1-1-1-111-111-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii
χ1711111-1-1111111-1-1-1-1-1111111111-1-1-1-1111-11-1-11111111111-1-1-1-1-1-1-1111111-1-11-1-1-1-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-11-11-1
χ1811111-1-1111111-1-1-1-1-1111111111-1-1-1-1111-11-1-11111111111-1-1-1-1-1-1-1111111-1-11-1-1-1-11-11-11-11-11-1-1-111-1-111-1-111-1-111-1-111-1-111-11-11
χ1911111-1-1111111-1-1-1-1-1111111111-1-1-1-1111-11-1-1111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-111-1-11-1111-1-111-1-1-1-111-1-11111-1-111-1-1-11-11
χ2011111-1-1111111-1-1-1-1-1111111111-1-1-1-1111-11-1-1111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-111-1-11-11-1-111-1-11111-1-111-1-1-1-111-1-1111-11-1
χ2111111-1-1111111-1-1-1-1-1111111111-1-1-1-1-1-11-11-1-1-1-1-11-1-11-111-1-1-1111111-1-1-1-1111-11-111-1-11-111-1-1111-1-111-1-111-1-111-1-1-1-111-1-111-11-11
χ2211111-1-1111111-1-1-1-1-1111111111-1-1-1-1-1-11-11-1-1-1-1-11-1-11-111-1-1-1111111-1-1-1-1111-11-111-1-11-111-1-11-1-111-1-111-1-111-1-11111-1-111-1-11-11-1
χ2311111-1-1111111-1-1-1-1-1111111111-1-1-1-1-1-11-11-1-1-1-1-1-11-1-1111-1-1-11111-1-111-1-11111-11-1-111-1-11-111-111-1-111-1-1-1-111-1-111-1-111-1-1111-11-1
χ2411111-1-1111111-1-1-1-1-1111111111-1-1-1-1-1-11-11-1-1-1-1-1-11-1-1111-1-1-11111-1-111-1-11111-11-1-111-1-11-111-1-1-111-1-11111-1-111-1-111-1-111-1-1-11-11
χ2511111-1-1111111-1-1-1-1-1-1-111-1-11-1-1111111-1-1-11111-111-11111-1-11-1-111-1-1-1-111-1-1-1-1-111-11-11-111-11-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiii−i−ii
χ2611111-1-1111111-1-1-1-1-1-1-111-1-11-1-1111111-1-1-11111-111-11111-1-11-1-111-1-1-1-111-1-1-1-1-111-11-11-111-11-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−iii−i
χ2711111-1-1111111-1-1-1-1-1-1-111-1-11-1-1111111-1-1-11111-1-1-1-1-1-111-1-11-1-111111111-1-1-111-1-11-11-1-11-11-11ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−iii−i
χ2811111-1-1111111-1-1-1-1-1-1-111-1-11-1-1111111-1-1-11111-1-1-1-1-1-111-1-11-1-111111111-1-1-111-1-11-11-1-11-11-11−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−ii−i−ii
χ2911111-1-1111111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-111-1-111-111-111-1-1111-1-1-1-111-1-111-1-111-1-111-11-11-1-11ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−iii−i
χ3011111-1-1111111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-111-1-111-111-111-1-1111-1-1-1-111-1-111-1-111-1-111-11-11-1-11−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiii−i−ii
χ3111111-1-1111111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-111-1-11-111-1111-1-1111-1-111-1-1-1-111-11-1-111-1-111-1-111-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−ii−i−ii
χ3211111-1-1111111-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-1-111-1-11-111-1111-1-1111-1-111-1-1-1-111-11-1-111-1-111-1-111-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−iii−i
χ3322222222222222222222222222-222-2-222-2222222200200-2-2-2-2-222220000-2-2-2-2-200000000-2-200000000000000000000000000000000
χ3422222222222222222222222222-222-2-2-2-2-22222-2-2-200-200-2-2-2-2-2-2-2-2-200002222-2000000002200000000000000000000000000000000
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χ5622222-2-2222222-2-2-2-2-2-2-222-2-22-2222-2-2-2-22-2-222-2-2200200-2-222-222-2-2000022-2-2200000000-2200000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).