Finite Group Databasebeta

← Group #10595212

Character table — Group #10595212

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order1222336666662234666666644444444666666121212124444121212121212121244441212121222
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111-11-111-1-1111111111-1-11-111-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-11-11-1
χ61111111111111-11-111-1-11111111-1-1111-111-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-11-11
χ71111111111111-11-111-1-1111-1-1-1-111-1-11-111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111111-1-11
χ81111111111111-11-111-1-1111-1-1-1-1-1-1111-111-1-1-1-1-1-111-11-1-1-1-1-1-11111-1-111-111-1
χ9111111111111-111-1-1-11111111-1-11111-11-1-111-1-1-1-11-1-1-111-1-1111111-1-11-1-1-1-11
χ10111111111111-111-1-1-11111111-1-1-1-1-1-1-11-1-111-1-1-1-11-11111-1-1-1-1-1-1-1-1111-1111-1
χ11111111111111-111-1-1-111111-1-1111111-11-1-111-1-1-1-1-11-1-1-1-1111111-1-111-11-1-11-1
χ12111111111111-111-1-1-111111-1-111-1-1-1-1-11-1-111-1-1-1-1-1111-1-111-1-1-1-111-1-1-1111-11
χ13111111111111-1-111-1-1-1-111111-1-111-1-1-1-1-1-1-1-11111-11-1111-1-111-1-11111-11-11-1-1
χ14111111111111-1-111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-111-111-1-1-1-111-1-1-1-1-111-111
χ15111111111111-1-111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1-1-11-1-1111
χ16111111111111-1-111-1-1-1-1111-1-111-1-111-1-1-1-1-1-111111-11-1-1-111-1-11111111-11-1-1-1
χ1722222-122-1-12-122-1222-1-1-1-1-100002222-12-1-1-1-12-1-1-100220000-1-1-1-1000000-1-100
χ1822222-122-1-12-122-1222-1-1-1-1-10000-2-2-2-2-12-1-1-1-12-1-1-100-2-2000011110000001100
χ1922222-122-1-12-12-2-1-22211-1-1-1000022-2-2-1-2-1-111-2111002-20000-1-111000000-1100
χ2022222-122-1-12-12-2-1-22211-1-1-10000-2-222-1-2-1-111-211100-22000011-1-10000001-100
χ2122222-122-1-12-1-22-1-2-2-2-1-1-1-1-1000022221211-1-1-211100-2-20000-1-1-1-10000001100
χ2222222-122-1-12-1-22-1-2-2-2-1-1-1-1-10000-2-2-2-21211-1-1-2111002200001111000000-1-100
χ2322222-122-1-12-1-2-2-12-2-211-1-1-1000022-2-21-211112-1-1-100-220000-1-1110000001-100
χ2422222-122-1-12-1-2-2-12-2-211-1-1-10000-2-2221-211112-1-1-1002-2000011-1-1000000-1100
χ252222-12-1-122-1222-12-1-122-1-1-1222200002-1-1-1-1-1-12-1-12200-1-1-1-100000000-1-10000
χ262222-12-1-122-1222-12-1-122-1-1-1-2-2-2-200002-1-1-1-1-1-12-1-1-2-200111100000000110000
χ272222-12-1-122-122-2-1-2-1-1-2-2-1-1-12222000021-1-1111-211-2-200-1-1-1-100000000110000
χ282222-12-1-122-122-2-1-2-1-1-2-2-1-1-1-2-2-2-2000021-1-1111-2112200111100000000-1-10000
χ292222-12-1-122-12-22-1-21122-1-1-122-2-20000-2-111-1-11-2112-200-1-11100000000-110000
χ302222-12-1-122-12-22-1-21122-1-1-1-2-2220000-2-111-1-11-211-220011-1-1000000001-10000
χ312222-12-1-122-12-2-2-1211-2-2-1-1-122-2-20000-211111-12-1-1-2200-1-111000000001-10000
χ322222-12-1-122-12-2-2-1211-2-2-1-1-1-2-2220000-211111-12-1-12-20011-1-100000000-110000
χ332-22-2222-22-2-2-2002000002-2-2002i−2i002i−2i00000000000000002i−2i002i−2i002-2000000
χ342-22-2222-22-2-2-2002000002-2-2002i−2i00−2i2i00000000000000002i−2i00−2i2i00-22000000
χ352-22-2222-22-2-2-2002000002-2-200−2i2i002i−2i0000000000000000−2i2i002i−2i00-22000000
χ362-22-2222-22-2-2-2002000002-2-200−2i2i00−2i2i0000000000000000−2i2i00−2i2i002-2000000
χ372-2-2222-22-22-2-200200000-22-22i−2i002i−2i00000000000000002i−2i002i−2i002-200000000
χ382-2-2222-22-22-2-200200000-22-22i−2i00−2i2i00000000000000002i−2i00−2i2i00-2200000000
χ392-2-2222-22-22-2-200200000-22-2−2i2i002i−2i0000000000000000−2i2i002i−2i00-2200000000
χ402-2-2222-22-22-2-200200000-22-2−2i2i00−2i2i0000000000000000−2i2i00−2i2i002-200000000
χ414444-2-2-2-2-2-2-2-24414-2-2-2-211100000000-2-21111-2-2110000000000000000000000
χ424444-2-2-2-2-2-2-2-24-41-4-2-22211100000000-2211-1-122-1-10000000000000000000000
χ434444-2-2-2-2-2-2-2-2-441-422-2-2111000000002-2-1-11122-1-10000000000000000000000
χ444444-2-2-2-2-2-2-2-2-4-41422221110000000022-1-1-1-1-2-2110000000000000000000000
χ4544-4-444-4-4-4-44400400000-4-440000000000000000000000000000000000000000
χ4644-4-44-2-4-4224-200-2000−2i32i322-2000000000000−2i32i300000000000000000000000000
χ4744-4-44-2-4-4224-200-20002i3−2i322-20000000000002i3−2i300000000000000000000000000
χ4844-4-4-2422-4-4-2400-20−2i32i30022-20000000000−2i32i30000000000000000000000000000
χ4944-4-4-2422-4-4-2400-202i3−2i30022-200000000002i3−2i30000000000000000000000000000
χ5044-4-4-2-22222-2-20010−2i32i3−2i32i3-1-110000000000i3−i3i3−i3003-30000000000000000000000
χ5144-4-4-2-22222-2-20010−2i32i32i3−2i3-1-110000000000i3−i3−i3i300-330000000000000000000000
χ5244-4-4-2-22222-2-200102i3−2i3−2i32i3-1-110000000000−i3i3i3−i300-330000000000000000000000
χ5344-4-4-2-22222-2-200102i3−2i32i3−2i3-1-110000000000−i3i3−i3i3003-30000000000000000000000
χ544-44-44-24-4-22-4200-200000-2220000004i−4i00000000000000000000−2i2i0000000000
χ554-44-44-24-4-22-4200-200000-222000000−4i4i000000000000000000002i−2i0000000000
χ564-44-4-24-224-42-400-200000-222004i−4i00000000000000000000−2i2i00000000000000
χ574-44-4-24-224-42-400-200000-22200−4i4i000000000000000000002i−2i00000000000000
χ584-4-444-2-442-2-4200-2000002-2200004i−4i00000000000000000000−2i2i000000000000
χ594-4-444-2-442-2-4200-2000002-220000−4i4i000000000000000000002i−2i000000000000
χ604-4-44-242-2-442-400-2000002-224i−4i00000000000000000000−2i2i0000000000000000
χ614-4-44-242-2-442-400-2000002-22−4i4i000000000000000000002i−2i0000000000000000
χ628-88-8-4-4-44-4444002000002-2-20000000000000000000000000000000000000000
χ638-8-88-4-44-44-44400200000-22-20000000000000000000000000000000000000000

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