Finite Group Databasebeta

← Group #10594719

Character table — Group #10594719

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11222222244444444444488888888881212121212121212181818181818242424242424242436
order1223344663666881212121212126122424242424242424222244442244886666121212128
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111-1-1-11-1111-1-1-1-1-1-11-1-1-1-1111-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11
χ51111111111111-1-111111111-1-1-1-1-1-1-1-111-11-11-1-11111-1-1111-1-11-1-1-1
χ61111111111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-111-1-1-1111
χ71111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-11
χ81111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-111-111-1
χ911-111-11111-1-111-1-1-11111-1-11111-1-1-1-11-111-1-11-11-11-1-1-111-11-1-11-11
χ1011-111-11111-1-111-1-1-11111-1-11111-1-1-1-11-11-1-11-11-11-1111-11-11-11-11-1
χ1111-111-11111-1-111-1-1-11111-1-11111-1-1-1-1-11-111-11-1-11-11111-11-11-11-1-1
χ1211-111-11111-1-111-1-1-11111-1-11111-1-1-1-1-11-1-111-111-11-1-1-1-1-11-111-111
χ1311-111-11111-1-11-11-1-11111-1-1-1-1-1-111111-1-111-1-111-11-11111-1-11-1-11-1
χ1411-111-11111-1-11-11-1-11111-1-1-1-1-1-111111-1-1-1111-1-11-11-1-1-11-1-1111-11
χ1511-111-11111-1-11-11-1-11111-1-1-1-1-1-11111-1111-1-1-11-11-11-1-11-111-1-1-111
χ1611-111-11111-1-11-11-1-11111-1-1-1-1-1-11111-111-1-111-11-11-111-1-111-111-1-1
χ1722222-2-222222200-2-2-2-2-2-22-200000000000000002-2-2200000000000
χ1822222-2-222222200-2-2-2-2-2-22-20000000000000000-222-200000000000
χ192222-122-12-12-1-122-12-12-1-1-1-12-1-1-12-1-1-1222020000000000-1-1-1-10000
χ202222-122-12-12-1-122-12-12-1-1-1-12-1-1-12-1-1-1-2-2-20-2000000000011110000
χ212222-122-12-12-1-1-2-2-12-12-1-1-1-1-2111-211122-20-20000000000-1-1110000
χ222222-122-12-12-1-1-2-2-12-12-1-1-1-1-2111-2111-2-2202000000000011-1-10000
χ23222-12222-1-1-12-1222-12-1-1-1-1-1-12-1-1-12-1-100020222000000-10000-1-1-10
χ24222-12222-1-1-12-1222-12-1-1-1-1-1-12-1-1-12-1-1000-20-2-2-2000000100001110
χ25222-12222-1-1-12-1-2-22-12-1-1-1-1-11-2111-211000202-2-2000000-10000-1110
χ26222-12222-1-1-12-1-2-22-12-1-1-1-1-11-2111-211000-20-222000000100001-1-10
χ2722-2222-2222-2-220022-2-2-2-2-22000000000000000022-2-200000000000
χ2822-2222-2222-2-220022-2-2-2-2-220000000000000000-2-22200000000000
χ2922-22-1-22-12-1-21-12-21-2-12-1-1112-1-1-1-21112-220-20000000000-11-110000
χ3022-22-1-22-12-1-21-12-21-2-12-1-1112-1-1-1-2111-22-20200000000001-11-10000
χ3122-22-1-22-12-1-21-1-221-2-12-1-111-21112-1-1-12-2-2020000000000-111-10000
χ3222-22-1-22-12-1-21-1-221-2-12-1-111-21112-1-1-1-2220-200000000001-1-110000
χ3322-2-12-222-1-11-2-12-2-212-1-1-111-12-1-11-21100020-22-2000000-100001-110
χ3422-2-12-222-1-11-2-12-2-212-1-1-111-12-1-11-211000-202-2200000010000-11-10
χ3522-2-12-222-1-11-2-1-22-212-1-1-1111-211-12-1-100020-2-22000000-1000011-10
χ3622-2-12-222-1-11-2-1-22-212-1-1-1111-211-12-1-1000-2022-200000010000-1-110
χ374444-2-4-4-24-24-2-2002-42-422-220000000000000000000000000000000
χ38444-24-4-44-2-2-24-200-42-4222-220000000000000000000000000000000
χ39444-2-244-2-21-2-2144-2-2-2-21111-2-211-2-21100000000000000000000000
χ40444-2-244-2-21-2-21-4-4-2-2-2-2111122-1-122-1-100000000000000000000000
χ41444-2-2-4-4-2-21-2-21002222-1-11-1003i−3i003i−3i00000000000000000000000
χ42444-2-2-4-4-2-21-2-21002222-1-11-100−3i3i00−3i3i00000000000000000000000
χ4344-44-24-4-24-2-42-200-242-4222-20000000000000000000000000000000
χ4444-4-244-44-2-22-4-2004-2-42222-20000000000000000000000000000000
χ4544-4-2-24-4-2-2122100-2-222-1-1-11003i−3i00−3i3i00000000000000000000000
χ4644-4-2-24-4-2-2122100-2-222-1-1-1100−3i3i003i−3i00000000000000000000000
χ4744-4-2-2-44-2-212214-422-2-211-1-1-2-21122-1-100000000000000000000000
χ4844-4-2-2-44-2-21221-4422-2-211-1-122-1-1-2-21100000000000000000000000
χ494-404400-4-4400-40000000000000000000000000000002i2−2i2000000000
χ504-404400-4-4400-4000000000000000000000000000000−2i22i2000000000
χ518-808-4004-8-400400000000000000000000000000000000000000000
χ528-80-4800-84-400400000000000000000000000000000000000000000
χ538-80-4-40044200-20000006i−6i000000000000000000000000000000000
χ548-80-4-40044200-2000000−6i6i000000000000000000000000000000000

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