Finite Group Databasebeta

← Group #13161133

Character table — Group #13161133

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size11112222222222222222222222444444444444444444444444448888888888888888888888888888888888812121212121212121212121212121212121212122424242424242424363636363636363654547272108216
order12223333344666666666666666333366666666666612121212121212121212412121212121212121212121212121212121212121212121212121212121212121212448824242424242424242424242424242424121212121212121244882424242422121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-11-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002200-20
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-200000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-20020
χ1122222222-1222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000002222-1-1-1-100-1-100
χ1222222222-1222222-12222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000-2-2-2-21111001100
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χ1298-8-88-4-4-48-400-4-4-48-4444-84444-84222-4-22-22-224-4-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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