Finite Group Databasebeta

← Group #6432017

Character table — Group #6432017

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222444444442222444444444444444444442222444444444444222222444444444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1711111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1
χ1811111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111
χ1911111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-111-1-111
χ2011111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1111111-1-11111-1-111-1-111-1-111-1-1
χ2111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ2211111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-11111-1-111-1-1
χ2311111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-11111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-11111-1-111-1-1
χ2411111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-11111-1-1
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1111111-1-111-1-1-1-111-1-11111-1-1
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χ9244-44-4-44-4−4i4i−4i4i−4i4i−4i4i00000000000000000000000000000000-44004i−4i00000000000000000000000000000000000000000000000000
χ9344-4-44-4-444i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000004-4004i−4i000000000000000000000000000000000000000000000000
χ9444-4-44-4-444i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000-4400−4i4i000000000000000000000000000000000000000000000000
χ9544-4-44-4-44−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000004-400−4i4i000000000000000000000000000000000000000000000000
χ9644-4-44-4-44−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000-44004i−4i000000000000000000000000000000000000000000000000
χ974-444-4-4-444i−4i−4i4i4i−4i−4i4i0000000000000000000000004-400004i−4i00000000000000000000000000000000000000000000000000000000
χ984-444-4-4-444i−4i−4i4i4i−4i−4i4i000000000000000000000000-440000−4i4i00000000000000000000000000000000000000000000000000000000
χ994-444-4-4-44−4i4i4i−4i−4i4i4i−4i0000000000000000000000004-40000−4i4i00000000000000000000000000000000000000000000000000000000
χ1004-444-4-4-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000-4400004i−4i00000000000000000000000000000000000000000000000000000000
χ1014-44-44-44-44i−4i−4i4i−4i4i4i−4i000000000000000000000000004-44i−4i0000000000000000000000000000000000000000000000000000000000
χ1024-44-44-44-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000-44−4i4i0000000000000000000000000000000000000000000000000000000000
χ1034-44-44-44-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000004-4−4i4i0000000000000000000000000000000000000000000000000000000000
χ1044-44-44-44-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000-444i−4i0000000000000000000000000000000000000000000000000000000000

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