Finite Group Databasebeta

← Group #10595462

Character table — Group #10595462

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size11222222222444444444446688888888881212121212121212121212181818182424242424243636
order1223344661212234666121212121288666661212121212222488824242424224466612242444
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111-1-11111-1-1-1-11-1-11-1-1-1-1
χ31111111111111111111111-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-111-111-1-1
χ41111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ511111111111-11-11111111111-1-11-1-1-1-11-1-1-111-11-1-11111-1-1-1-1-111-1-1-111
χ611111111111-11-11111111111-1-11-1-1-1-11-1-1-1-1-1-111111111111-1-1-1-111-1-1
χ711111111111-11-111111111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-111111111-1-1-1-1
χ811111111111-11-111111111-1-1-1-11-1-1-1-11-1-11-1-11-111-1-1-1-1-1-1-1-11-1-111111
χ911-111-1111-1-111-1-1-11-1-1-1111111-111-1-11-1-1-11-11-11-111-1-11-11-1-11-111-11-1
χ1011-111-1111-1-111-1-1-11-1-1-1111111-111-1-11-1-1-1-111-1-1111-1-1-11-11-1-111-11-11
χ1111-111-1111-1-111-1-1-11-1-1-111-1-111-111-1-11-1-111-1-111-1-1-111-11-1111-1-11-1-11
χ1211-111-1111-1-111-1-1-11-1-1-111-1-111-111-1-11-1-11-11-11-11-1-1111-11-11-11-1-111-1
χ1311-111-1111-1-1-111-1-11-1-1-11111-1-1-1-1-11111111-1-1-1-1111-1-1-11-1111-1-1-111-1
χ1411-111-1111-1-1-111-1-11-1-1-11111-1-1-1-1-1111111-11-1-11-111-1-11-11-11-11-11-1-11
χ1511-111-1111-1-1-111-1-11-1-1-111-1-1-1-1-1-1-111111-11-111-11-1-1111-11-1-11-11-11-11
χ1611-111-1111-1-1-111-1-11-1-1-111-1-1-1-1-1-1-111111-1-11111-1-1-111-11-11-1-1111-11-1
χ1722222-2-222-2-2020222-2-2-2-2-2000020000-200000000000002-2-2200000000
χ1822222-2-222-2-2020222-2-2-2-2-2000020000-20000000000000-222-200000000
χ192222-122-12222-122-1-1-1-1-1-12002-1-1-1-1-12-1-1-10220022000000000-1-10-1-100
χ202222-122-12222-122-1-1-1-1-1-12002-1-1-1-1-12-1-1-10-2-200-2-20000000001101100
χ212222-122-1222-2-1-22-1-1-1-1-1-1200-21-1111-2-11102200-2-2000000000-1-101100
χ222222-122-1222-2-1-22-1-1-1-1-1-1200-21-1111-2-1110-2-20022000000000110-1-100
χ23222-12222-1-1-12-12-12-12-1-12-122-12-1-1-12-1-1-1-12002200-1-1-1-10000-100-10000
χ24222-12222-1-1-12-12-12-12-1-12-1-2-2-12-1-1-12-1-1-1-1-200-2-2001111000010010000
χ25222-12222-1-1-1-2-1-2-12-12-1-12-1221-2-111-21-111-200-2200-1-1-1-1000010010000
χ26222-12222-1-1-1-2-1-2-12-12-1-12-1-2-21-2-111-21-1112002-20011110000-100-10000
χ2722-2222-22222020-2-22222-2-20000-20000-2000000000000022-2-200000000
χ2822-2222-22222020-2-22222-2-20000-20000-20000000000000-2-22200000000
χ2922-22-1-22-12-2-22-1-2-21-1111-12002-11-1-11-2-11102-2002-2000000000-110-1100
χ3022-22-1-22-12-2-22-1-2-21-1111-12002-11-1-11-2-1110-2200-220000000001-101-100
χ3122-22-1-22-12-2-2-2-12-21-1111-1200-21111-12-1-1-102-200-22000000000-1101-100
χ3222-22-1-22-12-2-2-2-12-21-1111-1200-21111-12-1-1-10-22002-20000000001-10-1100
χ3322-2-12-222-1112-1-21-2-1-2112-122-121-1-1-21-111-2002-200-1-1110000100-10000
χ3422-2-12-222-1112-1-21-2-1-2112-1-2-2-121-1-1-21-111200-220011-1-10000-10010000
χ3522-2-12-222-111-2-121-2-1-2112-1221-21112-1-1-1-1200-2-200-1-1110000-10010000
χ3622-2-12-222-111-2-121-2-1-2112-1-2-21-21112-1-1-1-1-200220011-1-10000100-10000
χ374444-2-4-4-24-4-40-204-2-22222-40000-2000020000000000000000000000000
χ38444-24-4-44-2220-20-24-2-422-420000-2000020000000000000000000000000
χ39444-2-244-2-2-2-2414-2-21-211-2-200-2-2111-2-211100000000000000000000000
χ40444-2-244-2-2-2-2-41-4-2-21-211-2-200221-1-1221-1-100000000000000000000000
χ41444-2-2-4-4-2-222010-2-212-1-122000013-300-13-300000000000000000000000
χ42444-2-2-4-4-2-222010-2-212-1-12200001-3300-1-3300000000000000000000000
χ4344-44-24-4-24440-20-42-2-2-2-22-400002000020000000000000000000000000
χ4444-4-244-44-2-2-20-202-4-24-2-2-4200002000020000000000000000000000000
χ4544-4-2-24-4-2-2-2-2010221-211220000-13-300-1-3300000000000000000000000
χ4644-4-2-24-4-2-2-2-2010221-211220000-1-3300-13-300000000000000000000000
χ4744-4-2-2-44-2-22241-42212-1-1-2-200-2-2-111221-1-100000000000000000000000
χ4844-4-2-2-44-2-222-4142212-1-1-2-20022-1-1-1-2-211100000000000000000000000
χ494-404400-4-40004000-400000−2i22i200000000000000000−2i22i200000000000000
χ504-404400-4-40004000-4000002i2−2i2000000000000000002i2−2i200000000000000
χ514-40-2400-4223−230-20002023−2300−2i22i200000000000000000i2−i2i6−i6000000000000
χ524-40-2400-4223−230-20002023−23002i2−2i200000000000000000−i2i2−i6i6000000000000
χ534-40-2400-42−23230-200020−232300−2i22i200000000000000000i2−i2−i6i6000000000000
χ544-40-2400-42−23230-200020−2323002i2−2i200000000000000000−i2i2i6−i6000000000000
χ558-808-4004-8000-400040000000000000000000000000000000000000000
χ568-80-4-4004443−4302000-20−23230000000000000000000000000000000000000
χ578-80-4-40044−434302000-2023−230000000000000000000000000000000000000

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