Finite Group Databasebeta

← Group #72260297

Character table — Group #72260297

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192
size112222222444444444488888888888121212122424242424242424242436363636112222222444444444488888888888121212122424242424242424242436363636112222222444444444488888888888121212122424242424242424242436363636112222222444444444488888888888121212122424242424242424242436363636
order12222336636666666664661212121212121212224444661212121212122224444441212121212121212121212121212412121212121212121212444444121212121212121244442222266666666666666466121212121212121222444466121212121212222444444121212121212121212121212121241212121212121212121244444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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χ3111111111111111111111111111111-11-11-11-11-11-1-111-1-1-1-1111111111111111111111111111111-11-11-11-11-11-1-111-1-1-1-1111111111111111111111111111111-11-11-11-11-11-1-111-1-1-1-1111111111111111111111111111111-11-11-11-11-11-1-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-111111111111111111111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-111111111111111111111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-111111111111111111111-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11
χ61111111111111111111-111-1-1-1-1-1-1-1-11-11-1-111-11-1-1-111-111-11111111111111111111-111-1-1-1-1-1-1-1-11-11-1-111-11-1-1-111-111-11111111111111111111-111-1-1-1-1-1-1-1-11-11-1-111-11-1-1-111-111-11111111111111111111-111-1-1-1-1-1-1-1-11-11-1-111-11-1-1-111-111-1
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χ18444-4-44-24-24-224-22-422-2-402-200000000000000000000000000−4i−4i4i4i−4i2i−4i2i−4i2i−2i−4i2i−2i4i−2i−2i2i4i0−2i2i00000000000000000000000000-4-444-42-42-42-2-42-24-2-2240-22000000000000000000000000004i4i−4i−4i4i−2i4i−2i4i−2i2i4i−2i2i−4i2i2i−2i−4i02i−2i00000000000000000000000000
χ18544-4-44-2-2-2-212-2122-1-1-220-110023−23−33−33000000000000000000−4i−4i4i4i−4i2i2i2i2i−i−2i2i−i−2i−2iii2i−2i0i−i00−2i32i3i3−i3i3−i3000000000000000000-4-444-42222-1-22-1-2-2112-201-100−23233−33−30000000000000000004i4i−4i−4i4i−2i−2i−2i−2ii2i−2ii2i2i−i−i−2i2i0−ii002i3−2i3−i3i3−i3i3000000000000000000
χ18644-4-44-2-2-2-212-2122-1-1-220-1100−23233−33−3000000000000000000−4i−4i4i4i−4i2i2i2i2i−i−2i2i−i−2i−2iii2i−2i0i−i002i3−2i3−i3i3−i3i3000000000000000000-4-444-42222-1-22-1-2-2112-201-10023−23−33−330000000000000000004i4i−4i−4i4i−2i−2i−2i−2ii2i−2ii2i2i−i−i−2i2i0−ii00−2i32i3i3−i3i3−i3000000000000000000
χ1874-400044-4-4400-4000000000000000000000000000000002-20−4i4i000−4i−4i4i4i−4i004i00000000000000000000000000000000−2i2i0-44000-4-444-400400000000000000000000000000000000-2204i−4i0004i4i−4i−4i4i00−4i000000000000000000000000000000002i−2i0
χ1884-400044-4-4400-400000000000000000000000000000000-220−4i4i000−4i−4i4i4i−4i004i000000000000000000000000000000002i−2i0-44000-4-444-4004000000000000000000000000000000002-204i−4i0004i4i−4i−4i4i00−4i00000000000000000000000000000000−2i2i0
χ1898-80008-4-84-400400000000000000000000000000000000000−8i8i000−8i4i8i−4i4i00−4i00000000000000000000000000000000000-88000-848-4400-4000000000000000000000000000000000008i−8i0008i−4i−8i4i−4i004i00000000000000000000000000000000000
χ1908-8000-484-8-400400000000000000000000000000000000000−8i8i0004i−8i−4i8i4i00−4i00000000000000000000000000000000000-880004-8-48400-4000000000000000000000000000000000008i−8i000−4i8i4i−8i−4i004i00000000000000000000000000000000000
χ1918-8000-4-444200-2006-60000000000000000000000000000000−8i8i0004i4i−4i−4i−2i002i00−6i6i0000000000000000000000000000000-8800044-4-4-200200-6600000000000000000000000000000008i−8i000−4i−4i4i4i2i00−2i006i−6i0000000000000000000000000000000
χ1928-8000-4-444200-200-660000000000000000000000000000000−8i8i0004i4i−4i−4i−2i002i006i−6i0000000000000000000000000000000-8800044-4-4-2002006-600000000000000000000000000000008i−8i000−4i−4i4i4i2i00−2i00−6i6i0000000000000000000000000000000

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