Finite Group Databasebeta

← Group #13180310

Character table — Group #13180310

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size112233666881212121212121616182424363622446612121216162424242424243232364848727233669918181824243636363636364848547272108108
order123622266364412121212362662436366666636121212121212366666122266222666644121212126626624
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-111111-1-1
χ3111111-1111111111111-1-1-1-1-1111111-1111111111111-1-1-1-1-1111111-1111111111111-1-1-1-1-1
χ4111111-11111-1-1-1-1-1-111-1-1-111111111-11111-1-1-1-1-1-111-1-1-111111111-11111-1-1-1-1-1-111-1-1-111
χ5222222222-1-1000000-1-12-1-100222222222-1-1000000-1-12-1-100222222222-1-1000000-1-12-1-100
χ6222222-222-1-1000000-1-1-21100222222-222-1-1000000-1-1-21100222222-222-1-1000000-1-1-21100
χ722-1-1220-1-12222-1-1-1-1-1-10000022-1-1220-1-12222-1-1-1-1-1-10000022-1-1220-1-12222-1-1-1-1-1-100000
χ822-1-1220-1-122-2-21111-1-10000022-1-1220-1-122-2-21111-1-10000022-1-1220-1-122-2-21111-1-100000
χ92-22-2-2202-22-20000002-2000002-22-2-2202-22-20000002-2000002-22-2-2202-22-20000002-200000
χ102-22-2-2202-2-11000000-110−i3i3002-22-2-2202-2-11000000-110−i3i3002-22-2-2202-2-11000000-110−i3i300
χ112-22-2-2202-2-11000000-110i3−i3002-22-2-2202-2-11000000-110i3−i3002-22-2-2202-2-11000000-110i3−i300
χ122-2-11-220-112-2003−33−3-11000002-2-11-220-112-2003−33−3-11000002-2-11-220-112-2003−33−3-1100000
χ132-2-11-220-112-200−33−33-11000002-2-11-220-112-200−33−33-11000002-2-11-220-112-200−33−33-1100000
χ143333-1-13-1-1001-111-1-100-1001-13333-1-13-1-1001-111-1-100-1001-13333-1-13-1-1001-111-1-100-1001-1
χ153333-1-13-1-100-11-1-11100-100-113333-1-13-1-100-11-1-11100-100-113333-1-13-1-100-11-1-11100-100-11
χ163333-1-1-3-1-1001-111-1-100100-113333-1-1-3-1-1001-111-1-100100-113333-1-1-3-1-1001-111-1-100100-11
χ173333-1-1-3-1-100-11-1-111001001-13333-1-1-3-1-100-11-1-111001001-13333-1-1-3-1-100-11-1-111001001-1
χ1844-2-2440-2-2-2-2000000110000044-2-2440-2-2-2-2000000110000044-2-2440-2-2-2-20000001100000
χ194-4-22-440-22-220000001-1000004-4-22-440-22-220000001-1000004-4-22-440-22-220000001-100000
χ2066-3-3-2-2011002-2-1-111000000066-3-3-2-2011002-2-1-111000000066-3-3-2-2011002-2-1-1110000000
χ2166-3-3-2-201100-2211-1-1000000066-3-3-2-201100-2211-1-1000000066-3-3-2-201100-2211-1-10000000
χ226-66-62-20-220000000000000006-66-62-20-220000000000000006-66-62-20-22000000000000000
χ236-6-332-201-100003−3−3300000006-6-332-201-100003−3−3300000006-6-332-201-100003−3−330000000
χ246-6-332-201-10000−333−300000006-6-332-201-10000−333−300000006-6-332-201-10000−333−30000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611111111111-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111
χ27111111-1111111111111-1-1-1-1-1111111-1111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111
χ28111111-11111-1-1-1-1-1-111-1-1-111111111-11111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11-1-1-1-1111111-1-1111-1-1
χ29222222222-1-1000000-1-12-1-100222222222-1-1000000-1-12-1-100-2-2-2-2-2-2-2-2-21100000011-21100
χ30222222-222-1-1000000-1-1-21100222222-222-1-1000000-1-1-21100-2-2-2-2-2-22-2-211000000112-1-100
χ3122-1-1220-1-12222-1-1-1-1-1-10000022-1-1220-1-12222-1-1-1-1-1-100000-2-211-2-2011-2-2-2-211111100000
χ3222-1-1220-1-122-2-21111-1-10000022-1-1220-1-122-2-21111-1-100000-2-211-2-2011-2-222-1-1-1-11100000
χ332-22-2-2202-22-20000002-2000002-22-2-2202-22-20000002-200000-22-222-20-22-22000000-2200000
χ342-22-2-2202-2-11000000-110−i3i3002-22-2-2202-2-11000000-110−i3i300-22-222-20-221-10000001-10i3−i300
χ352-22-2-2202-2-11000000-110i3−i3002-22-2-2202-2-11000000-110i3−i300-22-222-20-221-10000001-10−i3i300
χ362-2-11-220-112-2003−33−3-11000002-2-11-220-112-2003−33−3-1100000-221-12-201-1-2200−33−331-100000
χ372-2-11-220-112-200−33−33-11000002-2-11-220-112-200−33−33-1100000-221-12-201-1-22003−33−31-100000
χ383333-1-13-1-1001-111-1-100-1001-13333-1-13-1-1001-111-1-100-1001-1-3-3-3-311-31100-11-1-11100100-11
χ393333-1-13-1-100-11-1-11100-100-113333-1-13-1-100-11-1-11100-100-11-3-3-3-311-311001-111-1-1001001-1
χ403333-1-1-3-1-1001-111-1-100100-113333-1-1-3-1-1001-111-1-100100-11-3-3-3-31131100-11-1-11100-1001-1
χ413333-1-1-3-1-100-11-1-111001001-13333-1-1-3-1-100-11-1-111001001-1-3-3-3-311311001-111-1-100-100-11
χ4244-2-2440-2-2-2-2000000110000044-2-2440-2-2-2-20000001100000-4-422-4-402222000000-1-100000
χ434-4-22-440-22-220000001-1000004-4-22-440-22-220000001-100000-442-24-402-22-2000000-1100000
χ4466-3-3-2-2011002-2-1-111000000066-3-3-2-2011002-2-1-1110000000-6-633220-1-100-2211-1-10000000
χ4566-3-3-2-201100-2211-1-1000000066-3-3-2-201100-2211-1-10000000-6-633220-1-1002-2-1-1110000000
χ466-66-62-20-220000000000000006-66-62-20-22000000000000000-66-66-2202-2000000000000000
χ476-6-332-201-100003−3−3300000006-6-332-201-100003−3−330000000-663-3-220-110000−333−30000000
χ486-6-332-201-10000−333−300000006-6-332-201-10000−333−30000000-663-3-220-1100003−3−330000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ5022222222222-2-2-2-2-2-222222-2-2-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111000000000000000000000000
χ51222222-2222222222222-2-2-2-2-2-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111000000000000000000000000
χ52222222-22222-2-2-2-2-2-222-2-2-222-1-1-1-1-1-11-1-1-1-1111111-1-1111-1-1000000000000000000000000
χ53444444444-2-2000000-2-24-2-200-2-2-2-2-2-2-2-2-21100000011-21100000000000000000000000000
χ54444444-444-2-2000000-2-2-42200-2-2-2-2-2-22-2-211000000112-1-100000000000000000000000000
χ5544-2-2440-2-24444-2-2-2-2-2-200000-2-211-2-2011-2-2-2-211111100000000000000000000000000000
χ5644-2-2440-2-244-4-42222-2-200000-2-211-2-2011-2-222-1-1-1-11100000000000000000000000000000
χ574-44-4-4404-44-40000004-400000-22-222-20-22-22000000-2200000000000000000000000000000
χ584-44-4-4404-4-22000000-220−2i32i300-22-222-20-221-10000001-10i3−i300000000000000000000000000
χ594-44-4-4404-4-22000000-2202i3−2i300-22-222-20-221-10000001-10−i3i300000000000000000000000000
χ604-4-22-440-224-40023−2323−23-2200000-221-12-201-1-2200−33−331-100000000000000000000000000000
χ614-4-22-440-224-400−2323−2323-2200000-221-12-201-1-22003−33−31-100000000000000000000000000000
χ626666-2-26-2-2002-222-2-200-2002-2-3-3-3-311-31100-11-1-11100100-11000000000000000000000000
χ636666-2-26-2-200-22-2-22200-200-22-3-3-3-311-311001-111-1-1001001-1000000000000000000000000
χ646666-2-2-6-2-2002-222-2-200200-22-3-3-3-31131100-11-1-11100-1001-1000000000000000000000000
χ656666-2-2-6-2-200-22-2-222002002-2-3-3-3-311311001-111-1-100-100-11000000000000000000000000
χ6688-4-4880-4-4-4-40000002200000-4-422-4-402222000000-1-100000000000000000000000000000
χ678-8-44-880-44-440000002-200000-442-24-402-22-2000000-1100000000000000000000000000000
χ681212-6-6-4-4022004-4-2-2220000000-6-633220-1-100-2211-1-10000000000000000000000000000000
χ691212-6-6-4-402200-4422-2-20000000-6-633220-1-1002-2-1-1110000000000000000000000000000000
χ7012-1212-124-40-44000000000000000-66-66-2202-2000000000000000000000000000000000000000
χ7112-12-664-402-2000023−23−23230000000-663-3-220-110000−333−30000000000000000000000000000000
χ7212-12-664-402-20000−232323−230000000-663-3-220-1100003−3−330000000000000000000000000000000

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