Finite Group Databasebeta

← Group #10595210

Character table — Group #10595210

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444444444444466666666666688888888121212121212121212121212121218182424363636
order1222334466666622366666661212121244444444121212126666661212444412121212121212121212441212224
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-1-11-111-1-1-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-111-1-1-1-11111111111-11-1-11111-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111-1-11-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111111111-1-1-1-111-1
χ611111111111111-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11
χ711111111111111-1-11-1-1-1-11111111-1-1-1-111111111-1-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-11
χ811111111111111-1-11-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-111111-111-1-1-1-1-1-1-1-1-1-11111-1
χ9111111-1-11111111-1111-1-1111-1-1-1-111-1-1111111111-111-1-1-1-11-1-1-1-1-111-1-111-1-1111-11-1-1
χ10111111-1-11111111-1111-1-1111-1-1-1-111-1-111-1-111111-111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-11-111
χ11111111-1-11111111-1111-1-1111-1-1-1-1-1-111-1-111-1-1-1-11-111-1-1-1-11-11-11111-1-1-1-111-1-11-1-111
χ12111111-1-11111111-1111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-1-1-111111-1-111-1-11111-111-1-1
χ13111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-111-1-1-111-11111-1-111-1-1-1-1-111-11
χ14111111-1-1111111-111-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-11-11111-1-11111-1-1111-1-11-1
χ15111111-1-1111111-111-1-111111-1-1-1-1-1-11111111111-11-1-111-1-1-11-1-1-1-111-1-1-1-11111-11-11-1
χ16111111-1-1111111-111-1-111111-1-1-1-1-1-11111-1-11111-11-1-111-1-11-1-11-1-1-1-111-1-111-1-11-11-11
χ1722222-12222-1-1-1222-12222-1-1-122-1-1000000220000-1-1-1-1-1-1-1-1220200-1-1-1-1000000-1-1000
χ1822222-12222-1-1-1222-12222-1-1-122-1-1000000-2-20000-1-1-1-1-1-1-1-1-2-20-200111100000011000
χ1922222-12222-1-1-12-2-2-1-2-2-2-2-1-1-122-1-1000000220000111111-1-1-2-20200-1-1-1-100000011000
χ2022222-12222-1-1-12-2-2-1-2-2-2-2-1-1-122-1-1000000-2-20000111111-1-1220-2001111000000-1-1000
χ2122222-1-2-222-1-1-122-2-122-2-2-1-1-1-2-211000000220000-11-1-111112-20-200-1-111000000-11000
χ2222222-1-2-222-1-1-122-2-122-2-2-1-1-1-2-211000000-2-20000-11-1-11111-22020011-1-10000001-1000
χ2322222-1-2-222-1-1-12-22-1-2-222-1-1-1-2-2110000002200001-111-1-111-220-200-1-1110000001-1000
χ2422222-1-2-222-1-1-12-22-1-2-222-1-1-1-2-211000000-2-200001-111-1-1112-2020011-1-1000000-11000
χ252222-1222-1-1222-122-1-1-1-1-1-1-1-1-1-12222222200-1-1-1-122-1-1-1-1-1-10020-1-10000-1-1-1-10000000
χ262222-1222-1-1222-122-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-200111122-1-1-1-1-1-100-2011000011110000000
χ272222-1222-1-1222-1-2-2-11111-1-1-1-1-1222222-2-2001111-2-21111-1-100-20110000-1-1-1-10000000
χ282222-1222-1-1222-1-2-2-11111-1-1-1-1-122-2-2-2-22200-1-1-1-1-2-21111-1-10020-1-1000011110000000
χ292222-12-2-2-1-1222-12-2-1-1-111-1-1-111-2-222-2-22200-1-1-1-12-2-1-1111100-20110000-1-1110000000
χ302222-12-2-2-1-1222-12-2-1-1-111-1-1-111-2-2-2-222-2-20011112-2-1-111110020-1-1000011-1-10000000
χ312222-12-2-2-1-1222-1-22-111-1-1-1-1-111-2-222-2-2-2-2001111-2211-1-1110020-1-10000-1-1110000000
χ322222-12-2-2-1-1222-1-22-111-1-1-1-1-111-2-2-2-2222200-1-1-1-1-2211-1-11100-2011000011-1-10000000
χ3322-2-2222-22-2-2-22-20020000-2-222-22-22i−2i2i−2i000000000000002-200000000002i−2i2i−2i0000000
χ3422-2-2222-22-2-2-22-20020000-2-222-22-2−2i2i−2i2i000000000000002-20000000000−2i2i−2i2i0000000
χ3522-2-222-222-2-2-22-20020000-2-22-22-222i−2i−2i2i00000000000000-2200000000002i−2i−2i2i0000000
χ3622-2-222-222-2-2-22-20020000-2-22-22-22−2i2i2i−2i00000000000000-220000000000−2i2i2i−2i0000000
χ3722-2-2-122-2-11-2-22100-1−i3i3−i3i311-1-112-22i−2i2i−2i000033−3−300−i3i3−i3i3-1100003−30000−ii−ii0000000
χ3822-2-2-122-2-11-2-22100-1−i3i3−i3i311-1-112-2−2i2i−2i2i0000−3−33300−i3i3−i3i3-110000−330000i−ii−i0000000
χ3922-2-2-122-2-11-2-22100-1i3−i3i3−i311-1-112-22i−2i2i−2i0000−3−33300i3−i3i3−i3-110000−330000−ii−ii0000000
χ4022-2-2-122-2-11-2-22100-1i3−i3i3−i311-1-112-2−2i2i−2i2i000033−3−300i3−i3i3−i3-1100003−30000i−ii−i0000000
χ4122-2-2-12-22-11-2-22100-1−i3i3i3−i311-11-1-222i−2i−2i2i000033−3−300−i3i3i3−i31-10000−330000−iii−i0000000
χ4222-2-2-12-22-11-2-22100-1−i3i3i3−i311-11-1-22−2i2i2i−2i0000−3−33300−i3i3i3−i31-100003−30000i−i−ii0000000
χ4322-2-2-12-22-11-2-22100-1i3−i3−i3i311-11-1-222i−2i−2i2i0000−3−33300i3−i3−i3i31-100003−30000−iii−i0000000
χ4422-2-2-12-22-11-2-22100-1i3−i3−i3i311-11-1-22−2i2i2i−2i000033−3−300i3−i3−i3i31-10000−330000i−i−ii0000000
χ452-22-22200-222-2-2-200200002-2-2000000002i−2i2i−2i2i−2i2i−2i000000000000002i−2i0000002-200000
χ462-22-22200-222-2-2-200200002-2-2000000002i−2i−2i2i2i−2i2i−2i00000000000000−2i2i000000-2200000
χ472-22-22200-222-2-2-200200002-2-200000000−2i2i2i−2i−2i2i−2i2i000000000000002i−2i000000-2200000
χ482-22-22200-222-2-2-200200002-2-200000000−2i2i−2i2i−2i2i−2i2i00000000000000−2i2i0000002-200000
χ494444-2-244-2-2-2-2-2-2441-2-2-2-2111-2-2-2-2000000000000-2-2111111000000000000000000000
χ504444-2-244-2-2-2-2-2-2-4-412222111-2-2-2-200000000000022-1-1-1-111000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-24-41-2-2221112222000000000000-2211-1-1-1-1000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2-44122-2-211122220000000000002-2-1-111-1-1000000000000000000000
χ5344-4-44-24-44-422-2-400-2000022-24-4-22000000000000000000-22000000000000000000000
χ5444-4-44-2-444-422-2-400-2000022-2-442-20000000000000000002-2000000000000000000000
χ5544-4-4-2-24-4-2222-22001−2i32i3−2i32i3-1-11-22-2200000000000000i3−i3i3−i31-1000000000000000000000
χ5644-4-4-2-24-4-2222-220012i3−2i32i3−2i3-1-11-22-2200000000000000−i3i3−i3i31-1000000000000000000000
χ5744-4-4-2-2-44-2222-22001−2i32i32i3−2i3-1-112-22-200000000000000i3−i3−i3i3-11000000000000000000000
χ5844-4-4-2-2-44-2222-220012i3−2i3−2i32i3-1-112-22-200000000000000−i3i3i3−i3-11000000000000000000000
χ594-44-44-200-44-222-400-20000-22200000000004i−4i000000000000000000−2i2i0000000000000
χ604-44-44-200-44-222-400-20000-2220000000000−4i4i0000000000000000002i−2i0000000000000
χ614-44-4-24002-24-4-4200-20000-222000000004i−4i00−2i2i−2i2i00000000000000000000000000000
χ624-44-4-24002-24-4-4200-20000-22200000000−4i4i002i−2i2i−2i00000000000000000000000000000
χ634-4-444400-4-4-44-440040000-44-4000000000000000000000000000000000000000000000
χ644-4-444-200-4-42-22400-200002-220000000000000000000000000000000023−2300000000000
χ654-4-444-200-4-42-22400-200002-2200000000000000000000000000000000−232300000000000
χ664-4-44-240022-44-4-200-200002-22000000000000−2i32i32i3−2i300000000000000000000000000000
χ674-4-44-240022-44-4-200-200002-220000000000002i3−2i3−2i32i300000000000000000000000000000
χ688-88-8-4-4004-4-444400200002-2-2000000000000000000000000000000000000000000000
χ698-8-88-4-400444-44-40020000-22-2000000000000000000000000000000000000000000000

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