Finite Group Databasebeta

← Group #11923508

Character table — Group #11923508

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1338892424323236363636133889242432323636363613388924243232363636361338892424323236363636
order12233266332444444121241212121244442226626666244444412124121212124444
χ111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1
χ32222-122-1-1-100002222-122-1-1-100002222-122-1-1-100002222-122-1-1-10000
χ4222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000222-122-12-1-10000
χ5222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000222-1-12-1-12-10000
χ6222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000222-1-12-1-1-120000
χ733-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-133-103-10-10011-1-1
χ833-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-11133-103-10-100-1-111
χ93-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-13-1330-1-10001-11-1
χ103-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-113-1330-1-1000-11-11
χ1166-20-3-20100000066-20-3-20100000066-20-3-20100000066-20-3-201000000
χ126-26-30-2100000006-26-30-2100000006-26-30-2100000006-26-30-210000000
χ139-3-300100001-1-119-3-300100001-1-119-3-300100001-1-119-3-300100001-1-11
χ149-3-30010000-111-19-3-30010000-111-19-3-30010000-111-19-3-30010000-111-1
χ1511111111111111iiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i
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−iiiii
χ172222-122-1-1-100002i2i2i2i−i2i2i−i−i−i0000-2-2-2-21-2-21110000−2i−2i−2i−2ii−2i−2iiii0000
χ18222-122-12-1-100002i2i2i−i2i2i−i2i−i−i0000-2-2-21-2-21-2110000−2i−2i−2ii−2i−2ii−2iii0000
χ19222-1-12-1-12-100002i2i2i−i−i2i−i−i2i−i0000-2-2-211-211-210000−2i−2i−2iii−2iii−2ii0000
χ20222-1-12-1-1-1200002i2i2i−i−i2i−i−i−i2i0000-2-2-211-2111-20000−2i−2i−2iii−2iiii−2i0000
χ2133-103-10-10011-1-13i3i−i03i−i0−i00ii−i−i-3-310-310100-1-111−3i−3ii0−3ii0i00−i−iii
χ2233-103-10-100-1-1113i3i−i03i−i0−i00−i−iii-3-310-31010011-1-1−3i−3ii0−3ii0i00ii−i−i
χ233-1330-1-10001-11-13i−i3i3i0−i−i000i−ii−i-31-3-3011000-11-11−3ii−3i−3i0ii000−ii−ii
χ243-1330-1-1000-11-113i−i3i3i0−i−i000−ii−ii-31-3-30110001-11-1−3ii−3i−3i0ii000i−ii−i
χ2566-20-3-2010000006i6i−2i0−3i−2i0i000000-6-620320-1000000−6i−6i2i03i2i0−i000000
χ266-26-30-2100000006i−2i6i−3i0−2ii0000000-62-6302-10000000−6i2i−6i3i02i−i0000000
χ279-3-300100001-1-119i−3i−3i00i0000i−i−ii-93300-10000-111-1−9i3i3i00−i0000−iii−i
χ289-3-30010000-111-19i−3i−3i00i0000−iii−i-93300-100001-1-11−9i3i3i00−i0000i−i−ii
χ2911111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ301111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ312222-122-1-1-10000-2-2-2-21-2-211100002222-122-1-1-10000-2-2-2-21-2-21110000
χ32222-122-12-1-10000-2-2-21-2-21-2110000222-122-12-1-10000-2-2-21-2-21-2110000
χ33222-1-12-1-12-10000-2-2-211-211-210000222-1-12-1-12-10000-2-2-211-211-210000
χ34222-1-12-1-1-120000-2-2-211-2111-20000222-1-12-1-1-120000-2-2-211-2111-20000
χ3533-103-10-10011-1-1-3-310-310100-1-11133-103-10-10011-1-1-3-310-310100-1-111
χ3633-103-10-100-1-111-3-310-31010011-1-133-103-10-100-1-111-3-310-31010011-1-1
χ373-1330-1-10001-11-1-31-3-3011000-11-113-1330-1-10001-11-1-31-3-3011000-11-11
χ383-1330-1-1000-11-11-31-3-30110001-11-13-1330-1-1000-11-11-31-3-30110001-11-1
χ3966-20-3-201000000-6-620320-100000066-20-3-201000000-6-620320-1000000
χ406-26-30-210000000-62-6302-100000006-26-30-210000000-62-6302-10000000
χ419-3-300100001-1-11-93300-10000-111-19-3-300100001-1-11-93300-10000-111-1
χ429-3-30010000-111-1-93300-100001-1-119-3-30010000-111-1-93300-100001-1-11
χ4311111111111111−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
χ441111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-11111iiiiiiiiii−i−i−i−i
χ452222-122-1-1-10000−2i−2i−2i−2ii−2i−2iiii0000-2-2-2-21-2-211100002i2i2i2i−i2i2i−i−i−i0000
χ46222-122-12-1-10000−2i−2i−2ii−2i−2ii−2iii0000-2-2-21-2-21-21100002i2i2i−i2i2i−i2i−i−i0000
χ47222-1-12-1-12-10000−2i−2i−2iii−2iii−2ii0000-2-2-211-211-2100002i2i2i−i−i2i−i−i2i−i0000
χ48222-1-12-1-1-120000−2i−2i−2iii−2iiii−2i0000-2-2-211-2111-200002i2i2i−i−i2i−i−i−i2i0000
χ4933-103-10-10011-1-1−3i−3ii0−3ii0i00−i−iii-3-310-310100-1-1113i3i−i03i−i0−i00ii−i−i
χ5033-103-10-100-1-111−3i−3ii0−3ii0i00ii−i−i-3-310-31010011-1-13i3i−i03i−i0−i00−i−iii
χ513-1330-1-10001-11-1−3ii−3i−3i0ii000−ii−ii-31-3-3011000-11-113i−i3i3i0−i−i000i−ii−i
χ523-1330-1-1000-11-11−3ii−3i−3i0ii000i−ii−i-31-3-30110001-11-13i−i3i3i0−i−i000−ii−ii
χ5366-20-3-201000000−6i−6i2i03i2i0−i000000-6-620320-10000006i6i−2i0−3i−2i0i000000
χ546-26-30-210000000−6i2i−6i3i02i−i0000000-62-6302-100000006i−2i6i−3i0−2ii0000000
χ559-3-300100001-1-11−9i3i3i00−i0000−iii−i-93300-10000-111-19i−3i−3i00i0000i−i−ii
χ569-3-30010000-111-1−9i3i3i00−i0000i−i−ii-93300-100001-1-119i−3i−3i00i0000−iii−i

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