Finite Group Databasebeta

← Group #11922021

Character table — Group #11922021

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122336668812121212121216161824243636112233666881212121212121616182424363611223366688121212121212161618242436361122336668812121212121216161824243636
order123622266364412121212362662444121244412121212441212121212124121244226622266664412121212662662444121244412121212441212121212124121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-111111-1-1
χ3111111-1111111111111-1-1-1-1-1111111-1111111111111-1-1-1-1-1111111-1111111111111-1-1-1-1-1111111-1111111111111-1-1-1-1-1
χ4111111-11111-1-1-1-1-1-111-1-1-111111111-11111-1-1-1-1-1-111-1-1-111111111-11111-1-1-1-1-1-111-1-1-111111111-11111-1-1-1-1-1-111-1-1-111
χ5222222222-1-1000000-1-12-1-100222222222-1-1000000-1-12-1-100222222222-1-1000000-1-12-1-100222222222-1-1000000-1-12-1-100
χ6222222-222-1-1000000-1-1-21100222222-222-1-1000000-1-1-21100222222-222-1-1000000-1-1-21100222222-222-1-1000000-1-1-21100
χ722-1-1220-1-12222-1-1-1-1-1-10000022-1-1220-1-12222-1-1-1-1-1-10000022-1-1220-1-12222-1-1-1-1-1-10000022-1-1220-1-12222-1-1-1-1-1-100000
χ822-1-1220-1-122-2-21111-1-10000022-1-1220-1-122-2-21111-1-10000022-1-1220-1-122-2-21111-1-10000022-1-1220-1-122-2-21111-1-100000
χ92-22-2-2202-22-20000002-2000002-22-2-2202-22-20000002-2000002-22-2-2202-22-20000002-2000002-22-2-2202-22-20000002-200000
χ102-22-2-2202-2-11000000-110−i3i3002-22-2-2202-2-11000000-110−i3i3002-22-2-2202-2-11000000-110−i3i3002-22-2-2202-2-11000000-110−i3i300
χ112-22-2-2202-2-11000000-110i3−i3002-22-2-2202-2-11000000-110i3−i3002-22-2-2202-2-11000000-110i3−i3002-22-2-2202-2-11000000-110i3−i300
χ122-2-11-220-112-2003−33−3-11000002-2-11-220-112-2003−33−3-11000002-2-11-220-112-2003−33−3-11000002-2-11-220-112-2003−33−3-1100000
χ132-2-11-220-112-200−33−33-11000002-2-11-220-112-200−33−33-11000002-2-11-220-112-200−33−33-11000002-2-11-220-112-200−33−33-1100000
χ143333-1-13-1-1001-111-1-100-1001-13333-1-13-1-1001-111-1-100-1001-13333-1-13-1-1001-111-1-100-1001-13333-1-13-1-1001-111-1-100-1001-1
χ153333-1-13-1-100-11-1-11100-100-113333-1-13-1-100-11-1-11100-100-113333-1-13-1-100-11-1-11100-100-113333-1-13-1-100-11-1-11100-100-11
χ163333-1-1-3-1-1001-111-1-100100-113333-1-1-3-1-1001-111-1-100100-113333-1-1-3-1-1001-111-1-100100-113333-1-1-3-1-1001-111-1-100100-11
χ173333-1-1-3-1-100-11-1-111001001-13333-1-1-3-1-100-11-1-111001001-13333-1-1-3-1-100-11-1-111001001-13333-1-1-3-1-100-11-1-111001001-1
χ1844-2-2440-2-2-2-2000000110000044-2-2440-2-2-2-2000000110000044-2-2440-2-2-2-2000000110000044-2-2440-2-2-2-20000001100000
χ194-4-22-440-22-220000001-1000004-4-22-440-22-220000001-1000004-4-22-440-22-220000001-1000004-4-22-440-22-220000001-100000
χ2066-3-3-2-2011002-2-1-111000000066-3-3-2-2011002-2-1-111000000066-3-3-2-2011002-2-1-111000000066-3-3-2-2011002-2-1-1110000000
χ2166-3-3-2-201100-2211-1-1000000066-3-3-2-201100-2211-1-1000000066-3-3-2-201100-2211-1-1000000066-3-3-2-201100-2211-1-10000000
χ226-66-62-20-220000000000000006-66-62-20-220000000000000006-66-62-20-220000000000000006-66-62-20-22000000000000000
χ236-6-332-201-100003−3−3300000006-6-332-201-100003−3−3300000006-6-332-201-100003−3−3300000006-6-332-201-100003−3−330000000
χ246-6-332-201-10000−333−300000006-6-332-201-10000−333−300000006-6-332-201-10000−333−300000006-6-332-201-10000−333−30000000
χ25111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2611111111111-1-1-1-1-1-111111-1-1iiiiiiiiiii−i−i−i−i−i−iiiiii−i−i-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−i−iii
χ27111111-1111111111111-1-1-1-1-1iiiiii−iiiiiiiiiiiii−i−i−i−i−i-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111−i−i−i−i−i−ii−i−i−i−i−i−i−i−i−i−i−i−iiiiii
χ28111111-11111-1-1-1-1-1-111-1-1-111iiiiii−iiiii−i−i−i−i−i−iii−i−i−iii-1-1-1-1-1-11-1-1-1-1111111-1-1111-1-1−i−i−i−i−i−ii−i−i−i−iiiiiii−i−iiii−i−i
χ29222222222-1-1000000-1-12-1-1002i2i2i2i2i2i2i2i2i−i−i000000−i−i2i−i−i00-2-2-2-2-2-2-2-2-21100000011-21100−2i−2i−2i−2i−2i−2i−2i−2i−2iii000000ii−2iii00
χ30222222-222-1-1000000-1-1-211002i2i2i2i2i2i−2i2i2i−i−i000000−i−i−2iii00-2-2-2-2-2-22-2-211000000112-1-100−2i−2i−2i−2i−2i−2i2i−2i−2iii000000ii2i−i−i00
χ3122-1-1220-1-12222-1-1-1-1-1-1000002i2i−i−i2i2i0−i−i2i2i2i2i−i−i−i−i−i−i00000-2-211-2-2011-2-2-2-211111100000−2i−2iii−2i−2i0ii−2i−2i−2i−2iiiiiii00000
χ3222-1-1220-1-122-2-21111-1-1000002i2i−i−i2i2i0−i−i2i2i−2i−2iiiii−i−i00000-2-211-2-2011-2-222-1-1-1-11100000−2i−2iii−2i−2i0ii−2i−2i2i2i−i−i−i−iii00000
χ332-22-2-2202-22-20000002-2000002i−2i2i−2i−2i2i02i−2i2i−2i0000002i−2i00000-22-222-20-22-22000000-2200000−2i2i−2i2i2i−2i0−2i2i−2i2i000000−2i2i00000
χ342-22-2-2202-2-11000000-110−i3i3002i−2i2i−2i−2i2i02i−2i−ii000000−ii03−300-22-222-20-221-10000001-10i3−i300−2i2i−2i2i2i−2i0−2i2ii−i000000i−i0−3300
χ352-22-2-2202-2-11000000-110i3−i3002i−2i2i−2i−2i2i02i−2i−ii000000−ii0−3300-22-222-20-221-10000001-10−i3i300−2i2i−2i2i2i−2i0−2i2ii−i000000i−i03−300
χ362-2-11-220-112-2003−33−3-11000002i−2i−ii−2i2i0−ii2i−2i00i3−i3i3−i3−ii00000-221-12-201-1-2200−33−331-100000−2i2ii−i2i−2i0i−i−2i2i00−i3i3−i3i3i−i00000
χ372-2-11-220-112-200−33−33-11000002i−2i−ii−2i2i0−ii2i−2i00−i3i3−i3i3−ii00000-221-12-201-1-22003−33−31-100000−2i2ii−i2i−2i0i−i−2i2i00i3−i3i3−i3i−i00000
χ383333-1-13-1-1001-111-1-100-1001-13i3i3i3i−i−i3i−i−i00i−iii−i−i00−i00i−i-3-3-3-311-31100-11-1-11100100-11−3i−3i−3i−3iii−3iii00−ii−i−iii00i00−ii
χ393333-1-13-1-100-11-1-11100-100-113i3i3i3i−i−i3i−i−i00−ii−i−iii00−i00−ii-3-3-3-311-311001-111-1-1001001-1−3i−3i−3i−3iii−3iii00i−iii−i−i00i00i−i
χ403333-1-1-3-1-1001-111-1-100100-113i3i3i3i−i−i−3i−i−i00i−iii−i−i00i00−ii-3-3-3-31131100-11-1-11100-1001-1−3i−3i−3i−3iii3iii00−ii−i−iii00−i00i−i
χ413333-1-1-3-1-100-11-1-111001001-13i3i3i3i−i−i−3i−i−i00−ii−i−iii00i00i−i-3-3-3-311311001-111-1-100-100-11−3i−3i−3i−3iii3iii00i−iii−i−i00−i00−ii
χ4244-2-2440-2-2-2-200000011000004i4i−2i−2i4i4i0−2i−2i−2i−2i000000ii00000-4-422-4-402222000000-1-100000−4i−4i2i2i−4i−4i02i2i2i2i000000−i−i00000
χ434-4-22-440-22-220000001-1000004i−4i−2i2i−4i4i0−2i2i−2i2i000000i−i00000-442-24-402-22-2000000-1100000−4i4i2i−2i4i−4i02i−2i2i−2i000000−ii00000
χ4466-3-3-2-2011002-2-1-11100000006i6i−3i−3i−2i−2i0ii002i−2i−i−iii0000000-6-633220-1-100-2211-1-10000000−6i−6i3i3i2i2i0−i−i00−2i2iii−i−i0000000
χ4566-3-3-2-201100-2211-1-100000006i6i−3i−3i−2i−2i0ii00−2i2iii−i−i0000000-6-633220-1-1002-2-1-1110000000−6i−6i3i3i2i2i0−i−i002i−2i−i−iii0000000
χ466-66-62-20-220000000000000006i−6i6i−6i2i−2i0−2i2i000000000000000-66-66-2202-2000000000000000−6i6i−6i6i−2i2i02i−2i000000000000000
χ476-6-332-201-100003−3−3300000006i−6i−3i3i2i−2i0i−i0000i3−i3−i3i30000000-663-3-220-110000−333−30000000−6i6i3i−3i−2i2i0−ii0000−i3i3i3−i30000000
χ486-6-332-201-10000−333−300000006i−6i−3i3i2i−2i0i−i0000−i3i3i3−i30000000-663-3-220-1100003−3−330000000−6i6i3i−3i−2i2i0−ii0000i3−i3−i3i30000000
χ49111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111
χ51111111-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111
χ52111111-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1111-1-1111111-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1111-1-1
χ53222222222-1-1000000-1-12-1-100-2-2-2-2-2-2-2-2-21100000011-21100222222222-1-1000000-1-12-1-100-2-2-2-2-2-2-2-2-21100000011-21100
χ54222222-222-1-1000000-1-1-21100-2-2-2-2-2-22-2-211000000112-1-100222222-222-1-1000000-1-1-21100-2-2-2-2-2-22-2-211000000112-1-100
χ5522-1-1220-1-12222-1-1-1-1-1-100000-2-211-2-2011-2-2-2-21111110000022-1-1220-1-12222-1-1-1-1-1-100000-2-211-2-2011-2-2-2-211111100000
χ5622-1-1220-1-122-2-21111-1-100000-2-211-2-2011-2-222-1-1-1-1110000022-1-1220-1-122-2-21111-1-100000-2-211-2-2011-2-222-1-1-1-11100000
χ572-22-2-2202-22-20000002-200000-22-222-20-22-22000000-22000002-22-2-2202-22-20000002-200000-22-222-20-22-22000000-2200000
χ582-22-2-2202-2-11000000-110−i3i300-22-222-20-221-10000001-10i3−i3002-22-2-2202-2-11000000-110−i3i300-22-222-20-221-10000001-10i3−i300
χ592-22-2-2202-2-11000000-110i3−i300-22-222-20-221-10000001-10−i3i3002-22-2-2202-2-11000000-110i3−i300-22-222-20-221-10000001-10−i3i300
χ602-2-11-220-112-2003−33−3-1100000-221-12-201-1-2200−33−331-1000002-2-11-220-112-2003−33−3-1100000-221-12-201-1-2200−33−331-100000
χ612-2-11-220-112-200−33−33-1100000-221-12-201-1-22003−33−31-1000002-2-11-220-112-200−33−33-1100000-221-12-201-1-22003−33−31-100000
χ623333-1-13-1-1001-111-1-100-1001-1-3-3-3-311-31100-11-1-11100100-113333-1-13-1-1001-111-1-100-1001-1-3-3-3-311-31100-11-1-11100100-11
χ633333-1-13-1-100-11-1-11100-100-11-3-3-3-311-311001-111-1-1001001-13333-1-13-1-100-11-1-11100-100-11-3-3-3-311-311001-111-1-1001001-1
χ643333-1-1-3-1-1001-111-1-100100-11-3-3-3-31131100-11-1-11100-1001-13333-1-1-3-1-1001-111-1-100100-11-3-3-3-31131100-11-1-11100-1001-1
χ653333-1-1-3-1-100-11-1-111001001-1-3-3-3-311311001-111-1-100-100-113333-1-1-3-1-100-11-1-111001001-1-3-3-3-311311001-111-1-100-100-11
χ6644-2-2440-2-2-2-20000001100000-4-422-4-402222000000-1-10000044-2-2440-2-2-2-20000001100000-4-422-4-402222000000-1-100000
χ674-4-22-440-22-220000001-100000-442-24-402-22-2000000-11000004-4-22-440-22-220000001-100000-442-24-402-22-2000000-1100000
χ6866-3-3-2-2011002-2-1-1110000000-6-633220-1-100-2211-1-1000000066-3-3-2-2011002-2-1-1110000000-6-633220-1-100-2211-1-10000000
χ6966-3-3-2-201100-2211-1-10000000-6-633220-1-1002-2-1-111000000066-3-3-2-201100-2211-1-10000000-6-633220-1-1002-2-1-1110000000
χ706-66-62-20-22000000000000000-66-66-2202-20000000000000006-66-62-20-22000000000000000-66-66-2202-2000000000000000
χ716-6-332-201-100003−3−330000000-663-3-220-110000−333−300000006-6-332-201-100003−3−330000000-663-3-220-110000−333−30000000
χ726-6-332-201-10000−333−30000000-663-3-220-1100003−3−3300000006-6-332-201-10000−333−30000000-663-3-220-1100003−3−330000000
χ73111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii
χ7411111111111-1-1-1-1-1-111111-1-1−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111iiiiiiiiiii−i−i−i−i−i−iiiiii−i−i
χ75111111-1111111111111-1-1-1-1-1−i−i−i−i−i−ii−i−i−i−i−i−i−i−i−i−i−i−iiiiii-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111iiiiii−iiiiiiiiiiiii−i−i−i−i−i
χ76111111-11111-1-1-1-1-1-111-1-1-111−i−i−i−i−i−ii−i−i−i−iiiiiii−i−iiii−i−i-1-1-1-1-1-11-1-1-1-1111111-1-1111-1-1iiiiii−iiiii−i−i−i−i−i−iii−i−i−iii
χ77222222222-1-1000000-1-12-1-100−2i−2i−2i−2i−2i−2i−2i−2i−2iii000000ii−2iii00-2-2-2-2-2-2-2-2-21100000011-211002i2i2i2i2i2i2i2i2i−i−i000000−i−i2i−i−i00
χ78222222-222-1-1000000-1-1-21100−2i−2i−2i−2i−2i−2i2i−2i−2iii000000ii2i−i−i00-2-2-2-2-2-22-2-211000000112-1-1002i2i2i2i2i2i−2i2i2i−i−i000000−i−i−2iii00
χ7922-1-1220-1-12222-1-1-1-1-1-100000−2i−2iii−2i−2i0ii−2i−2i−2i−2iiiiiii00000-2-211-2-2011-2-2-2-2111111000002i2i−i−i2i2i0−i−i2i2i2i2i−i−i−i−i−i−i00000
χ8022-1-1220-1-122-2-21111-1-100000−2i−2iii−2i−2i0ii−2i−2i2i2i−i−i−i−iii00000-2-211-2-2011-2-222-1-1-1-111000002i2i−i−i2i2i0−i−i2i2i−2i−2iiiii−i−i00000
χ812-22-2-2202-22-20000002-200000−2i2i−2i2i2i−2i0−2i2i−2i2i000000−2i2i00000-22-222-20-22-22000000-22000002i−2i2i−2i−2i2i02i−2i2i−2i0000002i−2i00000
χ822-22-2-2202-2-11000000-110−i3i300−2i2i−2i2i2i−2i0−2i2ii−i000000i−i0−3300-22-222-20-221-10000001-10i3−i3002i−2i2i−2i−2i2i02i−2i−ii000000−ii03−300
χ832-22-2-2202-2-11000000-110i3−i300−2i2i−2i2i2i−2i0−2i2ii−i000000i−i03−300-22-222-20-221-10000001-10−i3i3002i−2i2i−2i−2i2i02i−2i−ii000000−ii0−3300
χ842-2-11-220-112-2003−33−3-1100000−2i2ii−i2i−2i0i−i−2i2i00−i3i3−i3i3i−i00000-221-12-201-1-2200−33−331-1000002i−2i−ii−2i2i0−ii2i−2i00i3−i3i3−i3−ii00000
χ852-2-11-220-112-200−33−33-1100000−2i2ii−i2i−2i0i−i−2i2i00i3−i3i3−i3i−i00000-221-12-201-1-22003−33−31-1000002i−2i−ii−2i2i0−ii2i−2i00−i3i3−i3i3−ii00000
χ863333-1-13-1-1001-111-1-100-1001-1−3i−3i−3i−3iii−3iii00−ii−i−iii00i00−ii-3-3-3-311-31100-11-1-11100100-113i3i3i3i−i−i3i−i−i00i−iii−i−i00−i00i−i
χ873333-1-13-1-100-11-1-11100-100-11−3i−3i−3i−3iii−3iii00i−iii−i−i00i00i−i-3-3-3-311-311001-111-1-1001001-13i3i3i3i−i−i3i−i−i00−ii−i−iii00−i00−ii
χ883333-1-1-3-1-1001-111-1-100100-11−3i−3i−3i−3iii3iii00−ii−i−iii00−i00i−i-3-3-3-31131100-11-1-11100-1001-13i3i3i3i−i−i−3i−i−i00i−iii−i−i00i00−ii
χ893333-1-1-3-1-100-11-1-111001001-1−3i−3i−3i−3iii3iii00i−iii−i−i00−i00−ii-3-3-3-311311001-111-1-100-100-113i3i3i3i−i−i−3i−i−i00−ii−i−iii00i00i−i
χ9044-2-2440-2-2-2-20000001100000−4i−4i2i2i−4i−4i02i2i2i2i000000−i−i00000-4-422-4-402222000000-1-1000004i4i−2i−2i4i4i0−2i−2i−2i−2i000000ii00000
χ914-4-22-440-22-220000001-100000−4i4i2i−2i4i−4i02i−2i2i−2i000000−ii00000-442-24-402-22-2000000-11000004i−4i−2i2i−4i4i0−2i2i−2i2i000000i−i00000
χ9266-3-3-2-2011002-2-1-1110000000−6i−6i3i3i2i2i0−i−i00−2i2iii−i−i0000000-6-633220-1-100-2211-1-100000006i6i−3i−3i−2i−2i0ii002i−2i−i−iii0000000
χ9366-3-3-2-201100-2211-1-10000000−6i−6i3i3i2i2i0−i−i002i−2i−i−iii0000000-6-633220-1-1002-2-1-11100000006i6i−3i−3i−2i−2i0ii00−2i2iii−i−i0000000
χ946-66-62-20-22000000000000000−6i6i−6i6i−2i2i02i−2i000000000000000-66-66-2202-20000000000000006i−6i6i−6i2i−2i0−2i2i000000000000000
χ956-6-332-201-100003−3−330000000−6i6i3i−3i−2i2i0−ii0000−i3i3i3−i30000000-663-3-220-110000−333−300000006i−6i−3i3i2i−2i0i−i0000i3−i3−i3i30000000
χ966-6-332-201-10000−333−30000000−6i6i3i−3i−2i2i0−ii0000i3−i3−i3i30000000-663-3-220-1100003−3−3300000006i−6i−3i3i2i−2i0i−i0000−i3i3i3−i30000000

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