Finite Group Databasebeta

← Group #72220360

Character table — Group #72220360

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213
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χ35222-2-2-12-1-122-1-122-1-1-1-1-2-2-2-2-12-1-122-12-1-1-12-1-12-1-122-1-1-1-11-2111-21122-2-2-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-21111111111-2-2111111-2-21111-2-21111-2-2-2-21111111122-2-2-12-1-1-12-1-11-2111-2110000000000000000
χ36222-2-2-12-1-122-1-122-1-1-1-1-2-2-2-2-12-1-122-12-1-1-12-1-12-1-122-1-1-1-11-2111-21122-2-2-12-1-1-12-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-21111111111-2-2111111-2-21111-2-21111-2-2-2-211111111-2-2221-2111-211-12-1-1-12-1-10000000000000000
χ37222-2-2-1-12-122-1-1-1-122-1-1-2-2-2-2-1-12-122-1-12-1-1-12-12-1-1-1-122-1-111-2111-2122-2-2-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-211-2-211111111-2-2-2-211111111-2-2111111-2-211-2-211111111-2-2-2-2111122-2-2-1-12-1-1-12-111-2111-210000000000000000
χ38222-2-2-1-12-122-1-1-1-122-1-1-2-2-2-2-1-12-122-1-12-1-1-12-12-1-1-1-122-1-111-2111-2122-2-2-1-12-1-1-12-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-11111-2-2111111-2-211-2-211111111-2-2-2-211111111-2-2111111-2-211-2-211111111-2-2-2-21111-2-22211-2111-21-1-12-1-1-12-10000000000000000
χ39222-2-2-1-1-1222-1-1-1-1-1-122-2-2-2-2-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-122111-2111-222-2-2-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222111111-2-2111111-2-2-2-2111111111111-2-2-2-2111111-2-2111111-2-2-2-2111111111111-2-2-2-222-2-2-1-1-12-1-1-12111-2111-20000000000000000
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χ4222-22-222222-1-2-2-2-2-2-2-2-2221122222-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-21-1-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111111111111122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111110000000000000000000000-22002-2001-100-11
χ4322-22-22222-12-2-2-2-2-2-2-2-2-1-1-2-22222-12-1-1-1-12222-1-1-1-1-1-1-1-1-12222-2-2-2-21-221-1-1-1-12222-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2111111111111111111000000000000000000002200-2-200-1-1001100
χ4422-22-22222-12-2-2-2-2-2-2-2-2-1-1-2-22222-12-1-1-1-12222-1-1-1-1-1-1-1-1-12222-2-2-2-21-221-1-1-1-12222-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2111111111111111111-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-211111111111111111100000000000000000000-2-20022001100-1-100
χ4522-22-22-1-1-122-2-211111122-2-22-1-1-1222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2111-2-22-22-1-1-12-1-1-1222-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-21111111111112-22-22-1-1-1-21112-1-1-1-21110000000000000000
χ4622-22-22-1-1-122-2-211111122-2-22-1-1-1222-1-1-12-1-1-1222-1-1-1-1-1-12-1-1-1-2111-2-22-22-1-1-12-1-1-1222-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-211111111111122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2-2-2111111111111-22-22-21112-1-1-1-21112-1-1-10000000000000000
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χ4822-22-2-12-1-12211-2-2111122-2-2-12-1-122-12-1-1-12-1-12-1-122-1-1-1-1-12-1-11-211-2-22-2-12-1-1-12-1-12-1-122-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-211111111-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-111-2-2111111-2-21111-2-21111-2-2-2-211111111-22-221-211-12-1-11-211-12-1-10000000000000000
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χ1974-4000-2-2-2444−2i32i3−2i32i32i3−2i3000000222-4-4-4-2-2-24-2-2-244-2-2-2-2-2-244000000000000222-4222-4-4222222-4-4−2i32i3−2i32i32i3−2i300−2i32i3−2i32i32i3−2i30000−2i32i32i3−2i3−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1984-4000-2-2-244-22i3−2i32i3−2i3−2i32i300002i3−2i3222-4-42-2-2-24111-2-2111111-2-2000000000000222-4-1-1-122-1-1-1-1-1-1222i3−2i32i3−2i3−2i32i300−i3i3−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000000000003-33-3-3300003-3-333-3-33-333-3000000000000−i3i3−i3i3−i3i32i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i3000000000000000000000000000000000000
χ1994-4000-2-2-244-22i3−2i32i3−2i3−2i32i30000−2i32i3222-4-42-2-2-24111-2-2111111-2-2000000000000222-4-1-1-122-1-1-1-1-1-1222i3−2i32i3−2i3−2i32i300−i3i3−i3i3i3−i30000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000-33-333-30000-333-3-333-33-3-33000000000000i3−i3i3−i3i3−i3−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i3000000000000000000000000000000000000
χ2004-4000-2-2-244-2−2i32i3−2i32i32i3−2i300002i3−2i3222-4-42-2-2-24111-2-2111111-2-2000000000000222-4-1-1-122-1-1-1-1-1-122−2i32i3−2i32i32i3−2i300i3−i3i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000-33-333-30000-333-3-333-33-3-33000000000000−i3i3−i3i3−i3i32i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i3000000000000000000000000000000000000
χ2014-4000-2-2-244-2−2i32i3−2i32i32i3−2i30000−2i32i3222-4-42-2-2-24111-2-2111111-2-2000000000000222-4-1-1-122-1-1-1-1-1-122−2i32i3−2i32i32i3−2i300i3−i3i3−i3−i3i30000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000000000003-33-3-3300003-3-333-3-33-333-3000000000000i3−i3i3−i3i3−i3−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i3000000000000000000000000000000000000
χ2024-4000-2-2-24-242i3−2i32i3−2i3−2i32i3002i3−2i300222-42-4111-2-2-2-24-2111111-2-2000000000000-1-1-12222-42-1-1-1-1-1-122−i3i3−i3i3i3−i3002i3−2i32i3−2i3−2i32i30000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i30000−i3i3−i3i3−i3i32i3−2i3000000002i3−2i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i33-33-3-330000000000003-3-333-3-33-333-30000000000000000000000000000000000000000
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χ2054-4000-2-2-24-24−2i32i3−2i32i32i3−2i300−2i32i300222-42-4111-2-2-2-24-2111111-2-2000000000000-1-1-12222-42-1-1-1-1-1-122i3−i3i3−i3−i3i300−2i32i3−2i32i32i3−2i30000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i30000i3−i3i3−i3i3−i3−2i32i300000000−2i32i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i33-33-3-330000000000003-3-333-3-33-333-30000000000000000000000000000000000000000
χ2064-4000-2-2-24-2-22i3−2i32i3−2i3−2i32i3002i3−2i32i3−2i3222-422111-2111-21−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i3211000000000000-1-1-12-1-1-12-11−3i321+3i321−3i321+3i321+3i321−3i32-1-1−i3i3−i3i3i3−i300−i3i3−i3i3i3−i3003-3−3+i323−i32−3−i323+i32−3+i323−i32−3−i323+i32−3−i323+i32−3+i323−i323-33-3−i3i3−i3i3−i3i32i3−2i33-33-3-3300−i3i3−3+i323−i323+i32−3−i32−3+i323−i323+i32−3−i323+i32−3−i32−3+i323−i32−i3i3−i3i33-33-3-3300−i3i3−i3i3−i3i32i3−2i3−i3i3−3+i323−i323+i32−3−i32−3+i323−i323+i32−3−i323+i32−3−i32−3+i323−i32−i3i3−i3i3000000000000000000000000000000000000
χ2074-4000-2-2-24-2-22i3−2i32i3−2i3−2i32i3002i3−2i3−2i32i3222-422111-2111-21−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i3211000000000000-1-1-12-1-1-12-11+3i321−3i321+3i321−3i321−3i321+3i32-1-1−i3i3−i3i3i3−i300−i3i3−i3i3i3−i300-333+i32−3−i323−i32−3+i323+i32−3−i323−i32−3+i323−i32−3+i323+i32−3−i32-33-33−i3i3−i3i3−i3i32i3−2i3-33-333-300−i3i33+i32−3−i32−3+i323−i323+i32−3−i32−3+i323−i32−3+i323−i323+i32−3−i32−i3i3−i3i33-33-3-3300i3−i3i3−i3i3−i3−2i32i3i3−i3−3−i323+i323−i32−3+i32−3−i323+i323−i32−3+i323−i32−3+i32−3−i323+i32i3−i3i3−i3000000000000000000000000000000000000
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χ2094-4000-2-2-24-2-22i3−2i32i3−2i3−2i32i300−2i32i3−2i32i3222-422111-2111-21−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i3211000000000000-1-1-12-1-1-12-11−3i321+3i321−3i321+3i321+3i321−3i32-1-1−i3i3−i3i3i3−i300−i3i3−i3i3i3−i3003-3−3+i323−i32−3−i323+i32−3+i323−i32−3−i323+i32−3−i323+i32−3+i323−i323-33-3i3−i3i3−i3i3−i3−2i32i3-33-333-300i3−i33−i32−3+i32−3−i323+i323−i32−3+i32−3−i323+i32−3−i323+i323−i32−3+i32i3−i3i3−i3-33-333-300i3−i3i3−i3i3−i3−2i32i3i3−i33−i32−3+i32−3−i323+i323−i32−3+i32−3−i323+i32−3−i323+i323−i32−3+i32i3−i3i3−i3000000000000000000000000000000000000
χ2104-4000-2-2-24-2-2−2i32i3−2i32i32i3−2i3002i3−2i32i3−2i3222-422111-2111-21−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i3211000000000000-1-1-12-1-1-12-11+3i321−3i321+3i321−3i321−3i321+3i32-1-1i3−i3i3−i3−i3i300i3−i3i3−i3−i3i3003-3−3−i323+i32−3+i323−i32−3−i323+i32−3+i323−i32−3+i323−i32−3−i323+i323-33-3−i3i3−i3i3−i3i32i3−2i3-33-333-300−i3i33+i32−3−i32−3+i323−i323+i32−3−i32−3+i323−i32−3+i323−i323+i32−3−i32−i3i3−i3i3-33-333-300−i3i3−i3i3−i3i32i3−2i3−i3i33+i32−3−i32−3+i323−i323+i32−3−i32−3+i323−i32−3+i323−i323+i32−3−i32−i3i3−i3i3000000000000000000000000000000000000
χ2114-4000-2-2-24-2-2−2i32i3−2i32i32i3−2i3002i3−2i3−2i32i3222-422111-2111-21−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i3211000000000000-1-1-12-1-1-12-11−3i321+3i321−3i321+3i321+3i321−3i32-1-1i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300-333−i32−3+i323+i32−3−i323−i32−3+i323+i32−3−i323+i32−3−i323−i32−3+i32-33-33−i3i3−i3i3−i3i32i3−2i33-33-3-3300−i3i3−3+i323−i323+i32−3−i32−3+i323−i323+i32−3−i323+i32−3−i32−3+i323−i32−i3i3−i3i3-33-333-300i3−i3i3−i3i3−i3−2i32i3i3−i33−i32−3+i32−3−i323+i323−i32−3+i32−3−i323+i32−3−i323+i323−i32−3+i32i3−i3i3−i3000000000000000000000000000000000000
χ2124-4000-2-2-24-2-2−2i32i3−2i32i32i3−2i300−2i32i32i3−2i3222-422111-2111-21−1+3i32−1−3i32−1+3i32−1−3i32−1−3i32−1+3i3211000000000000-1-1-12-1-1-12-11−3i321+3i321−3i321+3i321+3i321−3i32-1-1i3−i3i3−i3−i3i300i3−i3i3−i3−i3i300-333−i32−3+i323+i32−3−i323−i32−3+i323+i32−3−i323+i32−3−i323−i32−3+i32-33-33i3−i3i3−i3i3−i3−2i32i3-33-333-300i3−i33−i32−3+i32−3−i323+i323−i32−3+i32−3−i323+i32−3−i323+i323−i32−3+i32i3−i3i3−i33-33-3-3300−i3i3−i3i3−i3i32i3−2i3−i3i3−3+i323−i323+i32−3−i32−3+i323−i323+i32−3−i323+i32−3−i32−3+i323−i32−i3i3−i3i3000000000000000000000000000000000000
χ2134-4000-2-2-24-2-2−2i32i3−2i32i32i3−2i300−2i32i3−2i32i3222-422111-2111-21−1−3i32−1+3i32−1−3i32−1+3i32−1+3i32−1−3i3211000000000000-1-1-12-1-1-12-11+3i321−3i321+3i321−3i321−3i321+3i32-1-1i3−i3i3−i3−i3i300i3−i3i3−i3−i3i3003-3−3−i323+i32−3+i323−i32−3−i323+i32−3+i323−i32−3+i323−i32−3−i323+i323-33-3i3−i3i3−i3i3−i3−2i32i33-33-3-3300i3−i3−3−i323+i323−i32−3+i32−3−i323+i323−i32−3+i323−i32−3+i32−3−i323+i32i3−i3i3−i33-33-3-3300i3−i3i3−i3i3−i3−2i32i3i3−i3−3−i323+i323−i32−3+i32−3−i323+i323−i32−3+i323−i32−3+i32−3−i323+i32i3−i3i3−i3000000000000000000000000000000000000

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