Finite Group Databasebeta

← Group #72228358

Character table — Group #72228358

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198C199C200C201C202C203C204C205C206C207C208C209C210C211C212C213C214C215C216C217C218C219C220C221C222C223C224
size1338892424323236363636133889242432323636363613388924243232363636361338892424323236363636133889242432323636363613388924243232363636361338892424323236363636133889242432323636363613388924243232363636361338892424323236363636133889242432323636363613388924243232363636361338892424323236363636133889242432323636363613388924243232363636361338892424323236363636
order12233266332444444121241212121244442226626666244444412124121212124444444121241212121244444441212412121212444444412124121212124444444121241212121244442226626666244444412124121212124444222662666624444441212412121212444444412124121212124444444121241212121244444441212412121212444444412124121212124444
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χ32222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-10000
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χ833-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-111
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χ103-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-11
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χ149-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-1
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χ161111111111-1-1-1-1iiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−iiiii1111111111-1-1-1-1iiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−iiiii1111111111-1-1-1-1iiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−iiiii1111111111-1-1-1-1iiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−iiiii
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χ20222-1-12-1-1-1200002i2i2i−i−i2i−i−i−i2i0000-2-2-211-2111-20000−2i−2i−2iii−2iiii−2i0000222-1-12-1-1-1200002i2i2i−i−i2i−i−i−i2i0000-2-2-211-2111-20000−2i−2i−2iii−2iiii−2i0000222-1-12-1-1-1200002i2i2i−i−i2i−i−i−i2i0000-2-2-211-2111-20000−2i−2i−2iii−2iiii−2i0000222-1-12-1-1-1200002i2i2i−i−i2i−i−i−i2i0000-2-2-211-2111-20000−2i−2i−2iii−2iiii−2i0000
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χ301111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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χ34222-1-12-1-1-120000-2-2-211-2111-20000222-1-12-1-1-120000-2-2-211-2111-20000222-1-12-1-1-120000-2-2-211-2111-20000222-1-12-1-1-120000-2-2-211-2111-20000222-1-12-1-1-120000-2-2-211-2111-20000222-1-12-1-1-120000-2-2-211-2111-20000222-1-12-1-1-120000-2-2-211-2111-20000222-1-12-1-1-120000-2-2-211-2111-20000
χ3533-103-10-10011-1-1-3-310-310100-1-11133-103-10-10011-1-1-3-310-310100-1-11133-103-10-10011-1-1-3-310-310100-1-11133-103-10-10011-1-1-3-310-310100-1-11133-103-10-10011-1-1-3-310-310100-1-11133-103-10-10011-1-1-3-310-310100-1-11133-103-10-10011-1-1-3-310-310100-1-11133-103-10-10011-1-1-3-310-310100-1-111
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χ20766-20-3-201000000-6-620320-100000066-20-3-201000000-6-620320-1000000−6i−6i2i03i2i0−i0000006i6i−2i0−3i−2i0i000000−6i−6i2i03i2i0−i0000006i6i−2i0−3i−2i0i000000-6-620320-100000066-20-3-201000000-6-620320-100000066-20-3-2010000006i6i−2i0−3i−2i0i000000−6i−6i2i03i2i0−i0000006i6i−2i0−3i−2i0i000000−6i−6i2i03i2i0−i000000
χ2086-26-30-210000000-62-6302-100000006-26-30-210000000-62-6302-10000000−6i2i−6i3i02i−i00000006i−2i6i−3i0−2ii0000000−6i2i−6i3i02i−i00000006i−2i6i−3i0−2ii0000000-62-6302-100000006-26-30-210000000-62-6302-100000006-26-30-2100000006i−2i6i−3i0−2ii0000000−6i2i−6i3i02i−i00000006i−2i6i−3i0−2ii0000000−6i2i−6i3i02i−i0000000
χ2099-3-300100001-1-11-93300-10000-111-19-3-300100001-1-11-93300-10000-111-1−9i3i3i00−i0000−iii−i9i−3i−3i00i0000i−i−ii−9i3i3i00−i0000−iii−i9i−3i−3i00i0000i−i−ii-93300-10000-111-19-3-300100001-1-11-93300-10000-111-19-3-300100001-1-119i−3i−3i00i0000i−i−ii−9i3i3i00−i0000−iii−i9i−3i−3i00i0000i−i−ii−9i3i3i00−i0000−iii−i
χ2109-3-30010000-111-1-93300-100001-1-119-3-30010000-111-1-93300-100001-1-11−9i3i3i00−i0000i−i−ii9i−3i−3i00i0000−iii−i−9i3i3i00−i0000i−i−ii9i−3i−3i00i0000−iii−i-93300-100001-1-119-3-30010000-111-1-93300-100001-1-119-3-30010000-111-19i−3i−3i00i0000−iii−i−9i3i3i00−i0000i−i−ii9i−3i−3i00i0000−iii−i−9i3i3i00−i0000i−i−ii
χ21111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii11111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii11111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2121111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111iiiiiiiiii−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiiiii−i−i−i−i1111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i1111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111
χ2132222-122-1-1-10000−2i−2i−2i−2ii−2i−2iiii0000-2-2-2-21-2-211100002i2i2i2i−i2i2i−i−i−i0000−2i−2i−2i−2ii−2i−2iiii0000-2-2-2-21-2-211100002i2i2i2i−i2i2i−i−i−i00002222-122-1-1-10000-2-2-2-21-2-211100002i2i2i2i−i2i2i−i−i−i00002222-122-1-1-10000−2i−2i−2i−2ii−2i−2iiii00002i2i2i2i−i2i2i−i−i−i00002222-122-1-1-10000−2i−2i−2i−2ii−2i−2iiii0000-2-2-2-21-2-21110000
χ214222-122-12-1-10000−2i−2i−2ii−2i−2ii−2iii0000-2-2-21-2-21-21100002i2i2i−i2i2i−i2i−i−i0000−2i−2i−2ii−2i−2ii−2iii0000-2-2-21-2-21-21100002i2i2i−i2i2i−i2i−i−i0000222-122-12-1-10000-2-2-21-2-21-21100002i2i2i−i2i2i−i2i−i−i0000222-122-12-1-10000−2i−2i−2ii−2i−2ii−2iii00002i2i2i−i2i2i−i2i−i−i0000222-122-12-1-10000−2i−2i−2ii−2i−2ii−2iii0000-2-2-21-2-21-2110000
χ215222-1-12-1-12-10000−2i−2i−2iii−2iii−2ii0000-2-2-211-211-2100002i2i2i−i−i2i−i−i2i−i0000−2i−2i−2iii−2iii−2ii0000-2-2-211-211-2100002i2i2i−i−i2i−i−i2i−i0000222-1-12-1-12-10000-2-2-211-211-2100002i2i2i−i−i2i−i−i2i−i0000222-1-12-1-12-10000−2i−2i−2iii−2iii−2ii00002i2i2i−i−i2i−i−i2i−i0000222-1-12-1-12-10000−2i−2i−2iii−2iii−2ii0000-2-2-211-211-210000
χ216222-1-12-1-1-120000−2i−2i−2iii−2iiii−2i0000-2-2-211-2111-200002i2i2i−i−i2i−i−i−i2i0000−2i−2i−2iii−2iiii−2i0000-2-2-211-2111-200002i2i2i−i−i2i−i−i−i2i0000222-1-12-1-1-120000-2-2-211-2111-200002i2i2i−i−i2i−i−i−i2i0000222-1-12-1-1-120000−2i−2i−2iii−2iiii−2i00002i2i2i−i−i2i−i−i−i2i0000222-1-12-1-1-120000−2i−2i−2iii−2iiii−2i0000-2-2-211-2111-20000
χ21733-103-10-10011-1-1−3i−3ii0−3ii0i00−i−iii-3-310-310100-1-1113i3i−i03i−i0−i00ii−i−i−3i−3ii0−3ii0i00−i−iii-3-310-310100-1-1113i3i−i03i−i0−i00ii−i−i33-103-10-10011-1-1-3-310-310100-1-1113i3i−i03i−i0−i00ii−i−i33-103-10-10011-1-1−3i−3ii0−3ii0i00−i−iii3i3i−i03i−i0−i00ii−i−i33-103-10-10011-1-1−3i−3ii0−3ii0i00−i−iii-3-310-310100-1-111
χ21833-103-10-100-1-111−3i−3ii0−3ii0i00ii−i−i-3-310-31010011-1-13i3i−i03i−i0−i00−i−iii−3i−3ii0−3ii0i00ii−i−i-3-310-31010011-1-13i3i−i03i−i0−i00−i−iii33-103-10-100-1-111-3-310-31010011-1-13i3i−i03i−i0−i00−i−iii33-103-10-100-1-111−3i−3ii0−3ii0i00ii−i−i3i3i−i03i−i0−i00−i−iii33-103-10-100-1-111−3i−3ii0−3ii0i00ii−i−i-3-310-31010011-1-1
χ2193-1330-1-10001-11-1−3ii−3i−3i0ii000−ii−ii-31-3-3011000-11-113i−i3i3i0−i−i000i−ii−i−3ii−3i−3i0ii000−ii−ii-31-3-3011000-11-113i−i3i3i0−i−i000i−ii−i3-1330-1-10001-11-1-31-3-3011000-11-113i−i3i3i0−i−i000i−ii−i3-1330-1-10001-11-1−3ii−3i−3i0ii000−ii−ii3i−i3i3i0−i−i000i−ii−i3-1330-1-10001-11-1−3ii−3i−3i0ii000−ii−ii-31-3-3011000-11-11
χ2203-1330-1-1000-11-11−3ii−3i−3i0ii000i−ii−i-31-3-30110001-11-13i−i3i3i0−i−i000−ii−ii−3ii−3i−3i0ii000i−ii−i-31-3-30110001-11-13i−i3i3i0−i−i000−ii−ii3-1330-1-1000-11-11-31-3-30110001-11-13i−i3i3i0−i−i000−ii−ii3-1330-1-1000-11-11−3ii−3i−3i0ii000i−ii−i3i−i3i3i0−i−i000−ii−ii3-1330-1-1000-11-11−3ii−3i−3i0ii000i−ii−i-31-3-30110001-11-1
χ22166-20-3-201000000−6i−6i2i03i2i0−i000000-6-620320-10000006i6i−2i0−3i−2i0i000000−6i−6i2i03i2i0−i000000-6-620320-10000006i6i−2i0−3i−2i0i00000066-20-3-201000000-6-620320-10000006i6i−2i0−3i−2i0i00000066-20-3-201000000−6i−6i2i03i2i0−i0000006i6i−2i0−3i−2i0i00000066-20-3-201000000−6i−6i2i03i2i0−i000000-6-620320-1000000
χ2226-26-30-210000000−6i2i−6i3i02i−i0000000-62-6302-100000006i−2i6i−3i0−2ii0000000−6i2i−6i3i02i−i0000000-62-6302-100000006i−2i6i−3i0−2ii00000006-26-30-210000000-62-6302-100000006i−2i6i−3i0−2ii00000006-26-30-210000000−6i2i−6i3i02i−i00000006i−2i6i−3i0−2ii00000006-26-30-210000000−6i2i−6i3i02i−i0000000-62-6302-10000000
χ2239-3-300100001-1-11−9i3i3i00−i0000−iii−i-93300-10000-111-19i−3i−3i00i0000i−i−ii−9i3i3i00−i0000−iii−i-93300-10000-111-19i−3i−3i00i0000i−i−ii9-3-300100001-1-11-93300-10000-111-19i−3i−3i00i0000i−i−ii9-3-300100001-1-11−9i3i3i00−i0000−iii−i9i−3i−3i00i0000i−i−ii9-3-300100001-1-11−9i3i3i00−i0000−iii−i-93300-10000-111-1
χ2249-3-30010000-111-1−9i3i3i00−i0000i−i−ii-93300-100001-1-119i−3i−3i00i0000−iii−i−9i3i3i00−i0000i−i−ii-93300-100001-1-119i−3i−3i00i0000−iii−i9-3-30010000-111-1-93300-100001-1-119i−3i−3i00i0000−iii−i9-3-30010000-111-1−9i3i3i00−i0000i−i−ii9i−3i−3i00i0000−iii−i9-3-30010000-111-1−9i3i3i00−i0000i−i−ii-93300-100001-1-11

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