Finite Group Databasebeta

← Group #72259046

Character table — Group #72259046

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1338892424323236363636133889242432323636363613388924243232363636361338892424323236363636266161618484864647272727226616161848486464727272722661616184848646472727272266161618484864647272727226616161848486464727272722661616184848646472727272
order12233266332444222662666624442226626666244422266266662444222662666624442226626666244444412124121212124444444121241212121244444441212412121212444444412124121212124444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ32222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-10000
χ4222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000
χ5222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000
χ6222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000
χ733-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-1
χ833-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-111
χ93-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-1
χ103-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-11
χ1166-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-201000000
χ126-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-210000000
χ139-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-11
χ149-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-1
χ15111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ161111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ172222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-10000-2-2-2-21-2-21110000-2-2-2-21-2-21110000-2-2-2-21-2-21110000-2-2-2-21-2-21110000
χ18222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000-2-2-21-2-21-2110000-2-2-21-2-21-2110000-2-2-21-2-21-2110000-2-2-21-2-21-2110000
χ19222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000-2-2-211-211-210000-2-2-211-211-210000-2-2-211-211-210000-2-2-211-211-210000
χ20222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000-2-2-211-2111-20000-2-2-211-2111-20000-2-2-211-2111-20000-2-2-211-2111-20000
χ2133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-1-3-310-310100-1-111-3-310-310100-1-111-3-310-310100-1-111-3-310-310100-1-111
χ2233-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-111-3-310-31010011-1-1-3-310-31010011-1-1-3-310-31010011-1-1-3-310-31010011-1-1
χ233-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-1-31-3-3011000-11-11-31-3-3011000-11-11-31-3-3011000-11-11-31-3-3011000-11-11
χ243-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-11-31-3-30110001-11-1-31-3-30110001-11-1-31-3-30110001-11-1-31-3-30110001-11-1
χ2566-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-201000000-6-620320-1000000-6-620320-1000000-6-620320-1000000-6-620320-1000000
χ266-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-210000000-62-6302-10000000-62-6302-10000000-62-6302-10000000-62-6302-10000000
χ279-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-11-93300-10000-111-1-93300-10000-111-1-93300-10000-111-1-93300-10000-111-1
χ289-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-1-93300-100001-1-11-93300-100001-1-11-93300-100001-1-11-93300-100001-1-11
χ2911111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ301111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ312222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-10000-2-2-2-21-2-21110000-2-2-2-21-2-211100002222-122-1-1-100002222-122-1-1-10000-2-2-2-21-2-21110000-2-2-2-21-2-21110000
χ32222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000-2-2-21-2-21-2110000-2-2-21-2-21-2110000222-122-12-1-10000222-122-12-1-10000-2-2-21-2-21-2110000-2-2-21-2-21-2110000
χ33222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000-2-2-211-211-210000-2-2-211-211-210000222-1-12-1-12-10000222-1-12-1-12-10000-2-2-211-211-210000-2-2-211-211-210000
χ34222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000-2-2-211-2111-20000-2-2-211-2111-20000222-1-12-1-1-120000222-1-12-1-1-120000-2-2-211-2111-20000-2-2-211-2111-20000
χ3533-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-1-3-310-310100-1-111-3-310-310100-1-11133-103-10-10011-1-133-103-10-10011-1-1-3-310-310100-1-111-3-310-310100-1-111
χ3633-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-111-3-310-31010011-1-1-3-310-31010011-1-133-103-10-100-1-11133-103-10-100-1-111-3-310-31010011-1-1-3-310-31010011-1-1
χ373-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-1-31-3-3011000-11-11-31-3-3011000-11-113-1330-1-10001-11-13-1330-1-10001-11-1-31-3-3011000-11-11-31-3-3011000-11-11
χ383-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-11-31-3-30110001-11-1-31-3-30110001-11-13-1330-1-1000-11-113-1330-1-1000-11-11-31-3-30110001-11-1-31-3-30110001-11-1
χ3966-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-201000000-6-620320-1000000-6-620320-100000066-20-3-20100000066-20-3-201000000-6-620320-1000000-6-620320-1000000
χ406-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-210000000-62-6302-10000000-62-6302-100000006-26-30-2100000006-26-30-210000000-62-6302-10000000-62-6302-10000000
χ419-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-11-93300-10000-111-1-93300-10000-111-19-3-300100001-1-119-3-300100001-1-11-93300-10000-111-1-93300-10000-111-1
χ429-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-1-93300-100001-1-11-93300-100001-1-119-3-30010000-111-19-3-30010000-111-1-93300-100001-1-11-93300-100001-1-11
χ4311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111
χ441111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111111111-1-1-1-1
χ452222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-10000-2-2-2-21-2-21110000-2-2-2-21-2-21110000-2-2-2-21-2-21110000-2-2-2-21-2-211100002222-122-1-1-100002222-122-1-1-10000
χ46222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000-2-2-21-2-21-2110000-2-2-21-2-21-2110000-2-2-21-2-21-2110000-2-2-21-2-21-2110000222-122-12-1-10000222-122-12-1-10000
χ47222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000-2-2-211-211-210000-2-2-211-211-210000-2-2-211-211-210000-2-2-211-211-210000222-1-12-1-12-10000222-1-12-1-12-10000
χ48222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000-2-2-211-2111-20000-2-2-211-2111-20000-2-2-211-2111-20000-2-2-211-2111-20000222-1-12-1-1-120000222-1-12-1-1-120000
χ4933-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-1-3-310-310100-1-111-3-310-310100-1-111-3-310-310100-1-111-3-310-310100-1-11133-103-10-10011-1-133-103-10-10011-1-1
χ5033-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-111-3-310-31010011-1-1-3-310-31010011-1-1-3-310-31010011-1-1-3-310-31010011-1-133-103-10-100-1-11133-103-10-100-1-111
χ513-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-1-31-3-3011000-11-11-31-3-3011000-11-11-31-3-3011000-11-11-31-3-3011000-11-113-1330-1-10001-11-13-1330-1-10001-11-1
χ523-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-11-31-3-30110001-11-1-31-3-30110001-11-1-31-3-30110001-11-1-31-3-30110001-11-13-1330-1-1000-11-113-1330-1-1000-11-11
χ5366-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-201000000-6-620320-1000000-6-620320-1000000-6-620320-1000000-6-620320-100000066-20-3-20100000066-20-3-201000000
χ546-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-210000000-62-6302-10000000-62-6302-10000000-62-6302-10000000-62-6302-100000006-26-30-2100000006-26-30-210000000
χ559-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-11-93300-10000-111-1-93300-10000-111-1-93300-10000-111-1-93300-10000-111-19-3-300100001-1-119-3-300100001-1-11
χ569-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-1-93300-100001-1-11-93300-100001-1-11-93300-100001-1-11-93300-100001-1-119-3-30010000-111-19-3-30010000-111-1
χ571111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ581111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ592222-122-1-1-100002222-122-1-1-10000-2-2-2-21-2-21110000-2-2-2-21-2-211100002222-122-1-1-10000-2-2-2-21-2-211100002i2i2i2i−i2i2i−i−i−i0000−2i−2i−2i−2ii−2i−2iiii00002i2i2i2i−i2i2i−i−i−i0000−2i−2i−2i−2ii−2i−2iiii0000
χ60222-122-12-1-10000222-122-12-1-10000-2-2-21-2-21-2110000-2-2-21-2-21-2110000222-122-12-1-10000-2-2-21-2-21-21100002i2i2i−i2i2i−i2i−i−i0000−2i−2i−2ii−2i−2ii−2iii00002i2i2i−i2i2i−i2i−i−i0000−2i−2i−2ii−2i−2ii−2iii0000
χ61222-1-12-1-12-10000222-1-12-1-12-10000-2-2-211-211-210000-2-2-211-211-210000222-1-12-1-12-10000-2-2-211-211-2100002i2i2i−i−i2i−i−i2i−i0000−2i−2i−2iii−2iii−2ii00002i2i2i−i−i2i−i−i2i−i0000−2i−2i−2iii−2iii−2ii0000
χ62222-1-12-1-1-120000222-1-12-1-1-120000-2-2-211-2111-20000-2-2-211-2111-20000222-1-12-1-1-120000-2-2-211-2111-200002i2i2i−i−i2i−i−i−i2i0000−2i−2i−2iii−2iiii−2i00002i2i2i−i−i2i−i−i−i2i0000−2i−2i−2iii−2iiii−2i0000
χ6333-103-10-10011-1-133-103-10-10011-1-1-3-310-310100-1-111-3-310-310100-1-11133-103-10-10011-1-1-3-310-310100-1-1113i3i−i03i−i0−i00ii−i−i−3i−3ii0−3ii0i00−i−iii3i3i−i03i−i0−i00ii−i−i−3i−3ii0−3ii0i00−i−iii
χ6433-103-10-100-1-11133-103-10-100-1-111-3-310-31010011-1-1-3-310-31010011-1-133-103-10-100-1-111-3-310-31010011-1-13i3i−i03i−i0−i00−i−iii−3i−3ii0−3ii0i00ii−i−i3i3i−i03i−i0−i00−i−iii−3i−3ii0−3ii0i00ii−i−i
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χ13812-412-60-420000000-124-12604-20000000-124-12604-2000000012-412-60-420000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13918-6-600200002-2-22-186600-20000-222-2-186600-20000-222-218-6-600200002-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14018-6-60020000-222-2-186600-200002-2-22-186600-200002-2-2218-6-60020000-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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