Finite Group Databasebeta

← Group #10594583

Character table — Group #10594583

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222222244444444444444446666666666668888881212121212121212121212121212121212121818363636
order12223344444466666636661212121212121212121212124444121212121212121212121212121222244466666612121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-11111111-1-111-111-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-11111111111-111-1-11-1-1111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-11-1-1-1-1111-1-1-1-111-1-1-1-1111-1-1
χ611111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1111-1-1-1111111-1-1-1-1-1-1-1-1-111
χ711111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-111
χ811111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-11111-1-11111111-1-1
χ9111111-1-111-1-11111111111-1-111-1-1-1-111-1-1111111111111-1-111-1-1-11-11-1-1-1-111-1-1-1-111-1-111-11-1
χ10111111-1-111-1-11111111111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111-11-1-1-1-1111111-1-1-1-11-11
χ11111111-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-111-1-11-11111-1-1-1-1-1-111-1-11-11
χ12111111-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11111-1-11111-1-11111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-11-11-1-1-1-1-111-1-1-1-11111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-111-1-111-1-111-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111-111-1-111-1-111-1-111-1-1-1-111-1
χ16111111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-111111-1-11111-1-111-1-11
χ1722222-1222222-12-12-12-1-1-1-1-1-1222222-1-1-1-100220000-1-1-1-1-1-1-1-1-1-102200200-1-1-1-1-1-1000000000
χ1822222-1222222-12-12-12-1-1-1-1-1-1222222-1-1-1-100-2-200001111-1-1-1-1-1-10-2-200-200111111000000000
χ1922222-122-2-2-2-2-12-12-12-1-1-1-1-1-1-2-2-2-222111100220000-1-1-1-1-1-111110-2-2002001111-1-1000000000
χ2022222-122-2-2-2-2-12-12-12-1-1-1-1-1-1-2-2-2-222111100-2-200001111-1-1111102200-200-1-1-1-111000000000
χ2122222-1-2-222-2-2-12-12-12-1-1-1-11122-2-2-2-2-1-11100220000-1-1-1-111-1-11102-200-200-1-11111000000000
χ2222222-1-2-222-2-2-12-12-12-1-1-1-11122-2-2-2-2-1-11100-2-20000111111-1-1110-220020011-1-1-1-1000000000
χ2322222-1-2-2-2-222-12-12-12-1-1-1-111-2-222-2-211-1-100220000-1-1-1-11111-1-10-2200-20011-1-111000000000
χ2422222-1-2-2-2-222-12-12-12-1-1-1-111-2-222-2-211-1-100-2-2000011111111-1-102-200200-1-111-1-1000000000
χ252222-122222222-12-12-1-1-1-1-122-1-1-1-1-1-122222200-1-1-1-10000-1-1-1-1-1-1200220-1-1000000-1-1-1-100000
χ262222-122222222-12-12-1-1-1-1-122-1-1-1-1-1-12222-2-20011110000-1-1-1-1-1-1-200-2-2011000000111100000
χ272222-1222-2-2-2-22-12-12-1-1-1-1-1221111-1-1-2-2-2-22200-1-1-1-10000-1-11111200-2-20-1-1000000111100000
χ282222-1222-2-2-2-22-12-12-1-1-1-1-1221111-1-1-2-2-2-2-2-20011110000-1-11111-20022011000000-1-1-1-100000
χ292222-12-2-222-2-22-12-12-1-1-1-1-1-2-2-1-1111122-2-22200-1-1-1-1000011-1-111-2002-2011000000-1-11100000
χ302222-12-2-222-2-22-12-12-1-1-1-1-1-2-2-1-1111122-2-2-2-2001111000011-1-111200-220-1-100000011-1-100000
χ312222-12-2-2-2-2222-12-12-1-1-1-1-1-2-211-1-111-2-2222200-1-1-1-100001111-1-1-200-2201100000011-1-100000
χ322222-12-2-2-2-2222-12-12-1-1-1-1-1-2-211-1-111-2-222-2-200111100001111-1-12002-20-1-1000000-1-11100000
χ3322-2-222000000-2-22-2-2222-2-20000000000002i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000002-2000
χ3422-2-222000000-2-22-2-2222-2-20000000000002i−2i−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000-22000
χ3522-2-222000000-2-22-2-2222-2-2000000000000−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000-22000
χ3622-2-222000000-2-22-2-2222-2-2000000000000−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-2000
χ372-22-2222-22i−2i2i−2i2-2-22-2-22-22-22-22i−2i2i−2i2-22i−2i2i−2i0000000000002-22i−2i2i−2i00000000000000000000000
χ382-22-2222-2−2i2i−2i2i2-2-22-2-22-22-22-2−2i2i−2i2i2-2−2i2i−2i2i0000000000002-2−2i2i−2i2i00000000000000000000000
χ392-22-222-222i−2i−2i2i2-2-22-2-22-22-2-222i−2i−2i2i-222i−2i−2i2i000000000000-222i−2i−2i2i00000000000000000000000
χ402-22-222-22−2i2i2i−2i2-2-22-2-22-22-2-22−2i2i2i−2i-22−2i2i2i−2i000000000000-22−2i2i2i−2i00000000000000000000000
χ412-22-22-12-22i−2i2i−2i-1-2121-2-11-11-112i−2i2i−2i2-2−ii−ii000000003−33−3-11−ii−ii00000000−i3i3−i3i33−3000000000
χ422-22-22-12-22i−2i2i−2i-1-2121-2-11-11-112i−2i2i−2i2-2−ii−ii00000000−33−33-11−ii−ii00000000i3−i3i3−i3−33000000000
χ432-22-22-12-2−2i2i−2i2i-1-2121-2-11-11-11−2i2i−2i2i2-2i−ii−i000000003−33−3-11i−ii−i00000000i3−i3i3−i33−3000000000
χ442-22-22-12-2−2i2i−2i2i-1-2121-2-11-11-11−2i2i−2i2i2-2i−ii−i00000000−33−33-11i−ii−i00000000−i3i3−i3i3−33000000000
χ452-22-22-1-222i−2i−2i2i-1-2121-2-11-111-12i−2i−2i2i-22−iii−i000000003−33−31-1−iii−i00000000−i3i3i3−i3−33000000000
χ462-22-22-1-222i−2i−2i2i-1-2121-2-11-111-12i−2i−2i2i-22−iii−i00000000−33−331-1−iii−i00000000i3−i3−i3i33−3000000000
χ472-22-22-1-22−2i2i2i−2i-1-2121-2-11-111-1−2i2i2i−2i-22i−i−ii000000003−33−31-1i−i−ii00000000i3−i3−i3i3−33000000000
χ482-22-22-1-22−2i2i2i−2i-1-2121-2-11-111-1−2i2i2i−2i-22i−i−ii00000000−33−331-1i−i−ii00000000−i3i3i3−i33−3000000000
χ492-22-2-122-22i−2i2i−2i21-2-1-21-11-112-2−ii−ii-112i−2i2i−2i0000−i3i3−i3i30000-11−ii−ii000000−i3i30000003−33−300000
χ502-22-2-122-22i−2i2i−2i21-2-1-21-11-112-2−ii−ii-112i−2i2i−2i0000i3−i3i3−i30000-11−ii−ii000000i3−i3000000−33−3300000
χ512-22-2-122-2−2i2i−2i2i21-2-1-21-11-112-2i−ii−i-11−2i2i−2i2i0000−i3i3−i3i30000-11i−ii−i000000−i3i3000000−33−3300000
χ522-22-2-122-2−2i2i−2i2i21-2-1-21-11-112-2i−ii−i-11−2i2i−2i2i0000i3−i3i3−i30000-11i−ii−i000000i3−i30000003−33−300000
χ532-22-2-12-222i−2i−2i2i21-2-1-21-11-11-22−iii−i1-12i−2i−2i2i0000−i3i3−i3i300001-1−iii−i000000i3−i30000003−3−3300000
χ542-22-2-12-222i−2i−2i2i21-2-1-21-11-11-22−iii−i1-12i−2i−2i2i0000i3−i3i3−i300001-1−iii−i000000−i3i3000000−333−300000
χ552-22-2-12-22−2i2i2i−2i21-2-1-21-11-11-22i−i−ii1-1−2i2i2i−2i0000−i3i3−i3i300001-1i−i−ii000000i3−i3000000−333−300000
χ562-22-2-12-22−2i2i2i−2i21-2-1-21-11-11-22i−i−ii1-1−2i2i2i−2i0000i3−i3i3−i300001-1i−i−ii000000−i3i30000003−3−3300000
χ574444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000000011111100000000000000000000000
χ584444-2-244-4-4-4-4-2-2-2-2-2-21111-2-22222-2-2222200000000000011-1-1-1-100000000000000000000000
χ594444-2-2-4-444-4-4-2-2-2-2-2-2111122-2-22222-2-222000000000000-1-111-1-100000000000000000000000
χ604444-2-2-4-4-4-444-2-2-2-2-2-211112222-2-22222-2-2000000000000-1-1-1-11100000000000000000000000
χ6144-4-44-20000002-4-2-424-2-222000000000000004i−4i0000−2i−2i2i2i00000000000000000000000000000
χ6244-4-44-20000002-4-2-424-2-22200000000000000−4i4i00002i2i−2i−2i00000000000000000000000000000
χ6344-4-4-24000000-4242-4-2-2-2220000000000004i−4i00−2i−2i2i2i000000000000000000000000000000000
χ6444-4-4-24000000-4242-4-2-2-222000000000000−4i4i002i2i−2i−2i000000000000000000000000000000000
χ654-44-4-2-24-44i−4i4i−4i-222-2221-11-1-22−2i2i−2i2i-22−2i2i−2i2i0000000000001-1i−ii−i00000000000000000000000
χ664-44-4-2-24-4−4i4i−4i4i-222-2221-11-1-222i−2i2i−2i-222i−2i2i−2i0000000000001-1−ii−ii00000000000000000000000
χ674-44-4-2-2-444i−4i−4i4i-222-2221-11-12-2−2i2i2i−2i2-2−2i2i2i−2i000000000000-11i−i−ii00000000000000000000000
χ684-44-4-2-2-44−4i4i4i−4i-222-2221-11-12-22i−2i−2i2i2-22i−2i−2i2i000000000000-11−iii−i00000000000000000000000
χ694-4-4444000000-44-4-44-44-4-4400000000000000000000000000000000000000000000000000000
χ704-4-444-2000000242-4-2-4-222-200000000000000000000−2i32i32i3−2i300000000000000000000000000000
χ714-4-444-2000000242-4-2-4-222-2000000000000000000002i3−2i3−2i32i300000000000000000000000000000
χ724-4-44-24000000-4-2-4242-222-2000000000000000023−23−2323000000000000000000000000000000000
χ734-4-44-24000000-4-2-4242-222-20000000000000000−232323−23000000000000000000000000000000000
χ7488-8-8-4-400000044-444-422-2-200000000000000000000000000000000000000000000000000000
χ758-8-88-4-40000004-444-442-2-2200000000000000000000000000000000000000000000000000000

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