Finite Group Databasebeta

← Group #10961366

Character table — Group #10961366

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11111111222222224444444444444444441212121212121212111111112222222244444444444444444412121212121212121111111122222222444444444444444444121212121212121211111111222222224444444444444444441212121212121212
order122222223666666644444412121212121212121212121222444444222222226666666644444412121212121212121212121222444444222222226666666644444412121212121212121212121222444444222222226666666644444412121212121212121212121222444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
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χ232-22-22-22-22-22-22-22-200000000000000000000002i−2i002-22-22-22-22-22-22-22-200000000000000000000002i−2i002-22-22-22-22-22-22-22-200000000000000000000002i−2i002-22-22-22-22-22-22-22-200000000000000000000002i−2i00
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χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ45111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ46111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
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χ481111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-111-1-1
χ491111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1
χ501111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111
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χ1632-2-22-222-22-2-22-222-2000000000000000000002i−2i0000-222-22-2-22-222-22-2-2200000000000000000000−2i2i0000-222-22-2-22-222-22-2-2200000000000000000000−2i2i00002-2-22-222-22-2-22-222-2000000000000000000002i−2i0000
χ1642-2-22-222-22-2-22-222-200000000000000000000−2i2i0000-222-22-2-22-222-22-2-22000000000000000000002i−2i0000-222-22-2-22-222-22-2-22000000000000000000002i−2i00002-2-22-222-22-2-22-222-200000000000000000000−2i2i0000
χ1654444-4-4-4-4-2-2-2-2222200000000000000000000000000-4-4-4-444442222-2-2-2-200000000000000000000000000-4-4-4-444442222-2-2-2-2000000000000000000000000004444-4-4-4-4-2-2-2-2222200000000000000000000000000
χ16644-4-444-4-4-2-222-2-22200000000000000000000000000-4-444-4-44422-2-222-2-200000000000000000000000000-4-444-4-44422-2-222-2-20000000000000000000000000044-4-444-4-4-2-222-2-22200000000000000000000000000
χ1674-44-44-44-4-22-22-22-2200000000000000000000000000-44-44-44-442-22-22-22-200000000000000000000000000-44-44-44-442-22-22-22-2000000000000000000000000004-44-44-44-4-22-22-22-2200000000000000000000000000
χ1684-4-44-444-4-222-22-2-2200000000000000000000000000-444-44-4-442-2-22-222-200000000000000000000000000-444-44-4-442-2-22-222-2000000000000000000000000004-4-44-444-4-222-22-2-2200000000000000000000000000

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