Finite Group Databasebeta

← Group #72247627

Character table — Group #72247627

Order 7200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180C181C182C183C184C185C186C187C188C189C190C191C192C193C194C195C196C197C198
size112244446888888881010101010101616161624242424242425252525252530304040404040405050505050505050505050501201201501501501501501122444468888888810101010101016161616242424242424252525252525303040404040404050505050505050505050505012012015015015015015011224444688888888101010101010161616162424242424242525252525253030404040404040505050505050505050505050120120150150150150150
order12365510102551010151530304412121212151530301010101010102244442220206060606044661212121212121212101024444363615153030615153030151530301212121212121515303030303030303066121212126660606060606012126612121212121212123030612121212363615153030615153030151530301212121212121515303030303030303066121212126660606060606012126612121212121212123030612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-1
χ3111111111111111111-111-1-11111111111-1-1ii−i−i1-11-111-1-1i−i-1-1iiii−i−i−i−i1-1-1ii−i−i111111111111111111-111-1-11111111111-1-1ii−i−i1-11-111-1-1i−i-1-1iiii−i−i−i−i1-1-1ii−i−i111111111111111111-111-1-11111111111-1-1ii−i−i1-11-111-1-1i−i-1-1iiii−i−i−i−i1-1-1ii−i−i
χ4111111111111111111-111-1-11111111111-1-1−i−iii1-11-111-1-1−ii-1-1−i−i−i−iiiii1-1-1−i−iii111111111111111111-111-1-11111111111-1-1−i−iii1-11-111-1-1−ii-1-1−i−i−i−iiiii1-1-1−i−iii111111111111111111-111-1-11111111111-1-1−i−iii1-11-111-1-1−ii-1-1−i−i−i−iiiii1-1-1−i−iii
χ511111111111111111-11-1-1111111111111-1-1ii−i−i-11-11-1-111−ii-1-1ii−i−iii−i−i-11-1i−ii−i11111111111111111-11-1-1111111111111-1-1ii−i−i-11-11-1-111−ii-1-1ii−i−iii−i−i-11-1i−ii−i11111111111111111-11-1-1111111111111-1-1ii−i−i-11-11-1-111−ii-1-1ii−i−iii−i−i-11-1i−ii−i
χ611111111111111111-11-1-1111111111111-1-1−i−iii-11-11-1-111i−i-1-1−i−iii−i−iii-11-1−ii−ii11111111111111111-11-1-1111111111111-1-1−i−iii-11-11-1-111i−i-1-1−i−iii−i−iii-11-1−ii−ii11111111111111111-11-1-1111111111111-1-1−i−iii-11-11-1-111i−i-1-1−i−iii−i−iii-11-1−ii−ii
χ711111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11
χ811111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-111-111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-111-111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-111-1
χ911111111-1111111111111111111-1-1-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-1-111111111-1111111111111111111-1-1-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-1-111111111-1111111111111111111-1-1-1-1-1-1111111-1-1111111111111111111-1-1-1-1-1-1-1
χ1011111111-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ1111111111-1111111111-111-1-11111-1-1-1-1-1-1-1-1ii−i−i-111-111-1-1i−i-1-1iiii−i−i−i−i-111−i−iii11111111-1111111111-111-1-11111-1-1-1-1-1-1-1-1ii−i−i-111-111-1-1i−i-1-1iiii−i−i−i−i-111−i−iii11111111-1111111111-111-1-11111-1-1-1-1-1-1-1-1ii−i−i-111-111-1-1i−i-1-1iiii−i−i−i−i-111−i−iii
χ1211111111-1111111111-111-1-11111-1-1-1-1-1-1-1-1−i−iii-111-111-1-1−ii-1-1−i−i−i−iiiii-111ii−i−i11111111-1111111111-111-1-11111-1-1-1-1-1-1-1-1−i−iii-111-111-1-1−ii-1-1−i−i−i−iiiii-111ii−i−i11111111-1111111111-111-1-11111-1-1-1-1-1-1-1-1−i−iii-111-111-1-1−ii-1-1−i−i−i−iiiii-111ii−i−i
χ1311111111-111111111-11-1-1111111-1-1-1-1-1-1-1-1ii−i−i1-1-11-1-111−ii-1-1ii−i−iii−i−i1-11−ii−ii11111111-111111111-11-1-1111111-1-1-1-1-1-1-1-1ii−i−i1-1-11-1-111−ii-1-1ii−i−iii−i−i1-11−ii−ii11111111-111111111-11-1-1111111-1-1-1-1-1-1-1-1ii−i−i1-1-11-1-111−ii-1-1ii−i−iii−i−i1-11−ii−ii
χ1411111111-111111111-11-1-1111111-1-1-1-1-1-1-1-1−i−iii1-1-11-1-111i−i-1-1−i−iii−i−iii1-11i−ii−i11111111-111111111-11-1-1111111-1-1-1-1-1-1-1-1−i−iii1-1-11-1-111i−i-1-1−i−iii−i−iii1-11i−ii−i11111111-111111111-11-1-1111111-1-1-1-1-1-1-1-1−i−iii1-1-11-1-111i−i-1-1−i−iii−i−iii1-11i−ii−i
χ1511111111-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111111111-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-111111111-111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1
χ1611111111-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-11-1-1111111111-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-11-1-1111111111-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-11-1-11
χ1722-1-1222202222-1-1-1-122-1-1-1-1-1-1-1-10000002222220022-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000022-1-1222202222-1-1-1-122-1-1-1-1-1-1-1-10000002222220022-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000022-1-1222202222-1-1-1-122-1-1-1-1-1-1-1-10000002222220022-1-1-1-122-1-1-1-1-1-1-1-1-1-10000000
χ1822-1-1222202222-1-1-1-122-1-1-1-1-1-1-1-100000022-2-2-2-20022-1-1-1-1-2-2-1-111111111000000022-1-1222202222-1-1-1-122-1-1-1-1-1-1-1-100000022-2-2-2-20022-1-1-1-1-2-2-1-111111111000000022-1-1222202222-1-1-1-122-1-1-1-1-1-1-1-100000022-2-2-2-20022-1-1-1-1-2-2-1-1111111110000000
χ1922-1-1222202222-1-1-1-12-2-1-111-1-1-1-1000000-2-22i2i−2i−2i002-2-1-1112i−2i11−i−i−i−iiiii000000022-1-1222202222-1-1-1-12-2-1-111-1-1-1-1000000-2-22i2i−2i−2i002-2-1-1112i−2i11−i−i−i−iiiii000000022-1-1222202222-1-1-1-12-2-1-111-1-1-1-1000000-2-22i2i−2i−2i002-2-1-1112i−2i11−i−i−i−iiiii0000000
χ2022-1-1222202222-1-1-1-12-2-1-111-1-1-1-1000000-2-2−2i−2i2i2i002-2-1-111−2i2i11iiii−i−i−i−i000000022-1-1222202222-1-1-1-12-2-1-111-1-1-1-1000000-2-2−2i−2i2i2i002-2-1-111−2i2i11iiii−i−i−i−i000000022-1-1222202222-1-1-1-12-2-1-111-1-1-1-1000000-2-2−2i−2i2i2i002-2-1-111−2i2i11iiii−i−i−i−i0000000
χ2122-1-1222202222-1-1-1-1-2211-1-1-1-1-1-1000000-2-22i2i−2i−2i00-2211-1-1−2i2i11−i−iii−i−iii000000022-1-1222202222-1-1-1-1-2211-1-1-1-1-1-1000000-2-22i2i−2i−2i00-2211-1-1−2i2i11−i−iii−i−iii000000022-1-1222202222-1-1-1-1-2211-1-1-1-1-1-1000000-2-22i2i−2i−2i00-2211-1-1−2i2i11−i−iii−i−iii0000000
χ2222-1-1222202222-1-1-1-1-2211-1-1-1-1-1-1000000-2-2−2i−2i2i2i00-2211-1-12i−2i11ii−i−iii−i−i000000022-1-1222202222-1-1-1-1-2211-1-1-1-1-1-1000000-2-2−2i−2i2i2i00-2211-1-12i−2i11ii−i−iii−i−i000000022-1-1222202222-1-1-1-1-2211-1-1-1-1-1-1000000-2-2−2i−2i2i2i00-2211-1-12i−2i11ii−i−iii−i−i0000000
χ2322-1-1222202222-1-1-1-1-2-21111-1-1-1-100000022222200-2-21111-2-2-1-1-1-11111-1-1000000022-1-1222202222-1-1-1-1-2-21111-1-1-1-100000022222200-2-21111-2-2-1-1-1-11111-1-1000000022-1-1222202222-1-1-1-1-2-21111-1-1-1-100000022222200-2-21111-2-2-1-1-1-11111-1-10000000
χ2422-1-1222202222-1-1-1-1-2-21111-1-1-1-100000022-2-2-2-200-2-2111122-1-111-1-1-1-111000000022-1-1222202222-1-1-1-1-2-21111-1-1-1-100000022-2-2-2-200-2-2111122-1-111-1-1-1-111000000022-1-1222202222-1-1-1-1-2-21111-1-1-1-100000022-2-2-2-200-2-2111122-1-111-1-1-1-1110000000
χ252-22-222-2-2022-2-222-2-200000022-2-20000002-22i−2i2i−2i00000000002-22i−2i00002i−2i00000002-22-222-2-2022-2-222-2-200000022-2-20000002-22i−2i2i−2i00000000002-22i−2i00002i−2i00000002-22-222-2-2022-2-222-2-200000022-2-20000002-22i−2i2i−2i00000000002-22i−2i00002i−2i0000000
χ262-22-222-2-2022-2-222-2-200000022-2-20000002-2−2i2i−2i2i00000000002-2−2i2i0000−2i2i00000002-22-222-2-2022-2-222-2-200000022-2-20000002-2−2i2i−2i2i00000000002-2−2i2i0000−2i2i00000002-22-222-2-2022-2-222-2-200000022-2-20000002-2−2i2i−2i2i00000000002-2−2i2i0000−2i2i0000000
χ272-22-222-2-2022-2-222-2-200000022-2-2000000-222-2-220000000000-222-20000-2200000002-22-222-2-2022-2-222-2-200000022-2-2000000-222-2-220000000000-222-20000-2200000002-22-222-2-2022-2-222-2-200000022-2-2000000-222-2-220000000000-222-20000-220000000
χ282-22-222-2-2022-2-222-2-200000022-2-2000000-22-222-20000000000-22-2200002-200000002-22-222-2-2022-2-222-2-200000022-2-2000000-22-222-20000000000-22-2200002-200000002-22-222-2-2022-2-222-2-200000022-2-2000000-22-222-20000000000-22-2200002-20000000
χ292-2-1122-2-2022-2-2-1-111003−33−3-1-1110000002-22i−2i2i−2i00003−33−300-11−ii−i3i3−i3i3−ii00000002-2-1122-2-2022-2-2-1-111003−33−3-1-1110000002-22i−2i2i−2i00003−33−300-11−ii−i3i3−i3i3−ii00000002-2-1122-2-2022-2-2-1-111003−33−3-1-1110000002-22i−2i2i−2i00003−33−300-11−ii−i3i3−i3i3−ii0000000
χ302-2-1122-2-2022-2-2-1-111003−33−3-1-1110000002-2−2i2i−2i2i00003−33−300-11i−ii3−i3i3−i3i−i00000002-2-1122-2-2022-2-2-1-111003−33−3-1-1110000002-2−2i2i−2i2i00003−33−300-11i−ii3−i3i3−i3i−i00000002-2-1122-2-2022-2-2-1-111003−33−3-1-1110000002-2−2i2i−2i2i00003−33−300-11i−ii3−i3i3−i3i−i0000000
χ312-2-1122-2-2022-2-2-1-111003−3−33-1-111000000-222-2-2200003−3−33001-1-11−333−31-100000002-2-1122-2-2022-2-2-1-111003−3−33-1-111000000-222-2-2200003−3−33001-1-11−333−31-100000002-2-1122-2-2022-2-2-1-111003−3−33-1-111000000-222-2-2200003−3−33001-1-11−333−31-10000000
χ322-2-1122-2-2022-2-2-1-111003−3−33-1-111000000-22-222-200003−3−33001-11-13−3−33-1100000002-2-1122-2-2022-2-2-1-111003−3−33-1-111000000-22-222-200003−3−33001-11-13−3−33-1100000002-2-1122-2-2022-2-2-1-111003−3−33-1-111000000-22-222-200003−3−33001-11-13−3−33-110000000
χ332-2-1122-2-2022-2-2-1-11100−333−3-1-111000000-222-2-220000−333−3001-1-113−3−331-100000002-2-1122-2-2022-2-2-1-11100−333−3-1-111000000-222-2-220000−333−3001-1-113−3−331-100000002-2-1122-2-2022-2-2-1-11100−333−3-1-111000000-222-2-220000−333−3001-1-113−3−331-10000000
χ342-2-1122-2-2022-2-2-1-11100−333−3-1-111000000-22-222-20000−333−3001-11-1−333−3-1100000002-2-1122-2-2022-2-2-1-11100−333−3-1-111000000-22-222-20000−333−3001-11-1−333−3-1100000002-2-1122-2-2022-2-2-1-11100−333−3-1-111000000-22-222-20000−333−3001-11-1−333−3-110000000
χ352-2-1122-2-2022-2-2-1-11100−33−33-1-1110000002-22i−2i2i−2i0000−33−3300-11−iii3−i3i3−i3−ii00000002-2-1122-2-2022-2-2-1-11100−33−33-1-1110000002-22i−2i2i−2i0000−33−3300-11−iii3−i3i3−i3−ii00000002-2-1122-2-2022-2-2-1-11100−33−33-1-1110000002-22i−2i2i−2i0000−33−3300-11−iii3−i3i3−i3−ii0000000
χ362-2-1122-2-2022-2-2-1-11100−33−33-1-1110000002-2−2i2i−2i2i0000−33−3300-11i−i−i3i3−i3i3i−i00000002-2-1122-2-2022-2-2-1-11100−33−33-1-1110000002-2−2i2i−2i2i0000−33−3300-11i−i−i3i3−i3i3i−i00000002-2-1122-2-2022-2-2-1-11100−33−33-1-1110000002-2−2i2i−2i2i0000−33−3300-11i−i−i3i3−i3i3i−i0000000
χ3744444-14-14-1-1-1-14-14-1040044-1-1-1-14-1-1-1-1-1000000040-100-1-10000000000000-10000044444-14-14-1-1-1-14-14-1040044-1-1-1-14-1-1-1-1-1000000040-100-1-10000000000000-10000044444-14-14-1-1-1-14-14-1040044-1-1-1-14-1-1-1-1-1000000040-100-1-10000000000000-100000
χ3844444-14-14-1-1-1-14-14-10-400-4-4-1-1-1-14-1-1-1-1-10000000-4010011000000000000010000044444-14-14-1-1-1-14-14-10-400-4-4-1-1-1-14-1-1-1-1-10000000-4010011000000000000010000044444-14-14-1-1-1-14-14-10-400-4-4-1-1-1-14-1-1-1-1-10000000-40100110000000000000100000
χ3944444-14-1-4-1-1-1-14-14-1040044-1-1-1-1-4111110000000-40-100-1-1000000000000010000044444-14-1-4-1-1-1-14-14-1040044-1-1-1-1-4111110000000-40-100-1-1000000000000010000044444-14-1-4-1-1-1-14-14-1040044-1-1-1-1-4111110000000-40-100-1-10000000000000100000
χ4044444-14-1-4-1-1-1-14-14-10-400-4-4-1-1-1-1-411111000000040100110000000000000-10000044444-14-1-4-1-1-1-14-14-10-400-4-4-1-1-1-1-411111000000040100110000000000000-10000044444-14-1-4-1-1-1-14-14-10-400-4-4-1-1-1-1-411111000000040100110000000000000-100000
χ414444-14-144-1-1-1-1-14-14404400-1-1-1-1-14-1-1-1-100000040-10-1-100000000000000-10000004444-14-144-1-1-1-1-14-14404400-1-1-1-1-14-1-1-1-100000040-10-1-100000000000000-10000004444-14-144-1-1-1-1-14-14404400-1-1-1-1-14-1-1-1-100000040-10-1-100000000000000-1000000
χ424444-14-144-1-1-1-1-14-14-40-4-400-1-1-1-1-14-1-1-1-1000000-4010110000000000000010000004444-14-144-1-1-1-1-14-14-40-4-400-1-1-1-1-14-1-1-1-1000000-4010110000000000000010000004444-14-144-1-1-1-1-14-14-40-4-400-1-1-1-1-14-1-1-1-1000000-401011000000000000001000000
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χ7311111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.