Finite Group Databasebeta

← Group #72255324

Character table — Group #72255324

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111122222244444444444488888888888816161616161616161616161616161616161616161616222244444488888888888816161616161616161616161632323232323232323232323232323232323232323232333366666612121212121212121212121224242424242424242424242448484848484848484848484848484848484848484848
order1222224444222222444444444488888888222244444444444444444436666612121212666666121212121212121212122424242424242424666612121212121212121212121212121212121222222244442222224444444444888888882222444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
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χ10111111-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-11-111-1-11-11ii−i−i−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-11-111-1-11-11ii−i−i−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-111111111-1-1iiii−i−i−i−i-11-111-1-11-11ii−i−i−i−iii−i−iii
χ11111111-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii1-11-11-11-11-1−i−iii−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii1-11-11-11-11-1−i−iii−i−iii−i−iii111111-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii1-11-11-11-11-1−i−iii−i−iii−i−iii
χ12111111-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-11-111-1-11-11−i−iiiii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-11-111-1-11-11−i−iiiii−i−iii−i−i111111-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−iiiii-11-111-1-11-11−i−iiiii−i−iii−i−i
χ13111111-1-1-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i1-1-11-111-1-11−i−iiiii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i1-1-11-111-1-11−i−iiiii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i1-1-11-111-1-11−i−iiiii−i−i−i−iii
χ14111111-1-1-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i-111-1-11-111-1−i−iii−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i-111-1-11-111-1−i−iii−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i-111-1-11-111-1−i−iii−i−iiiii−i−i
χ15111111-1-1-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiii1-1-11-111-1-11ii−i−i−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiii1-1-11-111-1-11ii−i−i−i−iiiii−i−i111111-1-1-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiii1-1-11-111-1-11ii−i−i−i−iiiii−i−i
χ16111111-1-1-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiii-111-1-11-111-1ii−i−iii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiii-111-1-11-111-1ii−i−iii−i−i−i−iii111111-1-1-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiii-111-1-11-111-1ii−i−iii−i−i−i−iii
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χ1822222222222-2-22-2-222-2-2-2-200000000000000-2-200002200000000000022222222222-2-22-2-222-2-2-2-200000000000000-2-200002200000000000022222222222-2-22-2-222-2-2-2-200000000000000-2-2000022000000000000
χ192222222222-22-2-22-2-2-222-2-2000000000000220000-2-2000000000000002222222222-22-2-22-2-2-222-2-2000000000000220000-2-2000000000000002222222222-22-2-22-2-2-222-2-2000000000000220000-2-200000000000000
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χ212222222222-2-22-2-22-2-2-2-2222222000000000000-2-200000000000000002222222222-2-22-2-22-2-2-2-2222222000000000000-2-200000000000000002222222222-2-22-2-22-2-2-2-2222222000000000000-2-20000000000000000
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χ27222222-2-2-2-2-222-22222-2-2-2-2000000000000002-20000-22000000000000222222-2-2-2-2-222-22222-2-2-2-2000000000000002-20000-22000000000000222222-2-2-2-2-222-22222-2-2-2-2000000000000002-20000-22000000000000
χ28222222-2-2-2-2-222-22222-2-2-2-200000000000000-2200002-2000000000000222222-2-2-2-2-222-22222-2-2-2-200000000000000-2200002-2000000000000222222-2-2-2-2-222-22222-2-2-2-200000000000000-2200002-2000000000000
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χ581111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111
χ5911111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111111111
χ6011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11111
χ621111111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1
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Here i is the imaginary unit (i² = −1).