Finite Group Databasebeta

← Group #72266614

Character table — Group #72266614

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111111112222222222224444444488888888888888888888888816161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232323232323232323232323232
order12224444222222444444222244444444444444444444444444442222224444444444444444444444444444444444444444444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1211111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1311111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1411111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ1511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1611111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ171111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ181111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-11-11-111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ191111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ201111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-1-11-1111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ211111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-11-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ221111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11111-1-11-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ231111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-111-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ241111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-111-111-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-111-1-1-1-111-1-111
χ251111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-1-11-11-111-1-111-1-111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ261111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-1-11-11-111-1-111-1-111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ271111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-11-11-1-1-11-1111-1-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ281111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-11-11-1-1-11-1111-1-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ291111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-11-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ301111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-11111-1-11-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ311111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-111-111-1-1-111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ321111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-111-111-1-1-111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ33222222222222222222222222222222-2-2-2-222-2-2-2-222-2-2-2-222-2-2-2-200002-20000-22000000002-22-20000000000000000000000002-22-2000000000000000000000000
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Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.