Finite Group Databasebeta

← Group #10594515

Character table — Group #10594515

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222222244444444444444446666666666668888881212121212121212121212121212121212121818363636
order122233444444666666366612121212121212121212121222446666121212121212121212122244446666121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-1111111-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-11111111111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1
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
χ511111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1
χ611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-11-1-11111-1-111-1-1-1-1-1-1-111
χ711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-1-111
χ811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111111-1-1
χ9111111-1-111-1-11111111111-1-1-1-111-1-111-1-1111111111111-1-111-1-11-1-1-11-111-1-1-1-1-1-111-1-111-11-1
χ10111111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-111-11-1-1-11111-1-111-1-1-1-11-11
χ11111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-1-11-1-11-1111-1-1-1-111-1-111-1-11-11
χ12111111-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-11-1-1111111-1-11111-11-1
χ13111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111111111111111-1-1-1-111-11-1-1-11-1-111-1-1-1-1-1-11111-1-11
χ14111111-1-1-1-1111111111111-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1111-11-1-1111-1-111-1-1-1-111-1-111-1
χ15111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-11-111-1-1-111-1-11111-1-1-1-111-1
χ16111111-1-1-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1111-111-1-1111111-1-111-1-11
χ1722222-12222222-1-12-12-1-1-1-1-1-122-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-1222000-1-1-1-1-1-100000000000
χ1822222-12222222-1-12-12-1-1-1-1-1-122-1-1-1-1222200-2-200001111-1-1-1-1-1-1-2-2-200011111100000000000
χ1922222-122-2-2-2-22-1-12-12-1-1-1-1-1-1221111-2-2-2-200220000-1-1-1-1-1-11111-2-220001111-1-100000000000
χ2022222-122-2-2-2-22-1-12-12-1-1-1-1-1-1221111-2-2-2-200-2-200001111-1-1111122-2000-1-1-1-11100000000000
χ2122222-1-2-222-2-22-1-12-12-1-1-1-111-2-2-1-11122-2-200220000-1-1-1-111-1-1112-2-2000-1-1111100000000000
χ2222222-1-2-222-2-22-1-12-12-1-1-1-111-2-2-1-11122-2-200-2-20000111111-1-111-22200011-1-1-1-100000000000
χ2322222-1-2-2-2-2222-1-12-12-1-1-1-111-2-211-1-1-2-22200220000-1-1-1-11111-1-1-22-200011-1-11100000000000
χ2422222-1-2-2-2-2222-1-12-12-1-1-1-111-2-211-1-1-2-22200-2-2000011111111-1-12-22000-1-111-1-100000000000
χ252222-12222222-122-12-1-1-1-1-122-1-12222-1-1-1-12200-1-1-1-10000-1-1-1-1-1-1000222000000-1-1-1-1-1-100000
χ262222-12222222-122-12-1-1-1-1-122-1-12222-1-1-1-1-2-20011110000-1-1-1-1-1-1000-2-2-200000011111100000
χ272222-1222-2-2-2-2-122-12-1-1-1-1-122-1-1-2-2-2-211112200-1-1-1-10000-1-111110002-2-2000000-1-1111100000
χ282222-1222-2-2-2-2-122-12-1-1-1-1-122-1-1-2-2-2-21111-2-20011110000-1-11111000-22200000011-1-1-1-100000
χ292222-12-2-222-2-2-122-12-1-1-1-1-1-2-21122-2-2-1-1112200-1-1-1-1000011-1-111000-22-200000011-1-11100000
χ302222-12-2-222-2-2-122-12-1-1-1-1-1-2-21122-2-2-1-111-2-2001111000011-1-1110002-22000000-1-111-1-100000
χ312222-12-2-2-2-222-122-12-1-1-1-1-1-2-211-2-22211-1-12200-1-1-1-100001111-1-1000-2-220000001111-1-100000
χ322222-12-2-2-2-222-122-12-1-1-1-1-1-2-211-2-22211-1-1-2-200111100001111-1-100022-2000000-1-1-1-11100000
χ332-22-2222-22i−2i2i−2i-22-22-2-22-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000002-22i−2i2i−2i00000000000000000000000
χ342-22-2222-2−2i2i−2i2i-22-22-2-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000002-2−2i2i−2i2i00000000000000000000000
χ352-22-222-222i−2i−2i2i-22-22-2-22-22-2-22-222i−2i−2i2i2i−2i−2i2i000000000000-222i−2i−2i2i00000000000000000000000
χ362-22-222-22−2i2i2i−2i-22-22-2-22-22-2-22-22−2i2i2i−2i−2i2i2i−2i000000000000-22−2i2i2i−2i00000000000000000000000
χ372-22-22-12-22i−2i2i−2i-2-1121-2-11-11-112-2−ii−ii2i−2i2i−2i0000000033−3−3-11−ii−ii000000−i3i3−i3i33−300000000000
χ382-22-22-12-22i−2i2i−2i-2-1121-2-11-11-112-2−ii−ii2i−2i2i−2i00000000−3−333-11−ii−ii000000i3−i3i3−i3−3300000000000
χ392-22-22-12-2−2i2i−2i2i-2-1121-2-11-11-112-2i−ii−i−2i2i−2i2i0000000033−3−3-11i−ii−i000000i3−i3i3−i33−300000000000
χ402-22-22-12-2−2i2i−2i2i-2-1121-2-11-11-112-2i−ii−i−2i2i−2i2i00000000−3−333-11i−ii−i000000−i3i3−i3i3−3300000000000
χ412-22-22-1-222i−2i−2i2i-2-1121-2-11-111-1-22−iii−i2i−2i−2i2i0000000033−3−31-1−iii−i000000−i3i3i3−i3−3300000000000
χ422-22-22-1-222i−2i−2i2i-2-1121-2-11-111-1-22−iii−i2i−2i−2i2i00000000−3−3331-1−iii−i000000i3−i3−i3i33−300000000000
χ432-22-22-1-22−2i2i2i−2i-2-1121-2-11-111-1-22i−i−ii−2i2i2i−2i0000000033−3−31-1i−i−ii000000i3−i3−i3i3−3300000000000
χ442-22-22-1-22−2i2i2i−2i-2-1121-2-11-111-1-22i−i−ii−2i2i2i−2i00000000−3−3331-1i−i−ii000000−i3i3i3−i33−300000000000
χ452-22-2-122-22i−2i2i−2i12-2-1-21-11-112-2-112i−2i2i−2i−ii−ii0000−i3−i3i3i30000-11−ii−ii000000000000−i3i33−33−300000
χ462-22-2-122-22i−2i2i−2i12-2-1-21-11-112-2-112i−2i2i−2i−ii−ii0000i3i3−i3−i30000-11−ii−ii000000000000i3−i3−33−3300000
χ472-22-2-122-2−2i2i−2i2i12-2-1-21-11-112-2-11−2i2i−2i2ii−ii−i0000−i3−i3i3i30000-11i−ii−i000000000000−i3i3−33−3300000
χ482-22-2-122-2−2i2i−2i2i12-2-1-21-11-112-2-11−2i2i−2i2ii−ii−i0000i3i3−i3−i30000-11i−ii−i000000000000i3−i33−33−300000
χ492-22-2-12-222i−2i−2i2i12-2-1-21-11-11-221-12i−2i−2i2i−iii−i0000−i3−i3i3i300001-1−iii−i000000000000i3−i33−3−3300000
χ502-22-2-12-222i−2i−2i2i12-2-1-21-11-11-221-12i−2i−2i2i−iii−i0000i3i3−i3−i300001-1−iii−i000000000000−i3i3−333−300000
χ512-22-2-12-22−2i2i2i−2i12-2-1-21-11-11-221-1−2i2i2i−2ii−i−ii0000−i3−i3i3i300001-1i−i−ii000000000000i3−i3−333−300000
χ522-22-2-12-22−2i2i2i−2i12-2-1-21-11-11-221-1−2i2i2i−2ii−i−ii0000i3i3−i3−i300001-1i−i−ii000000000000−i3i33−3−3300000
χ532-2-2222000000-2-2-2-2222-2-220000000000002-22-22-22-22-22-20000000000000000000000002-2000
χ542-2-2222000000-2-2-2-2222-2-220000000000002-2-222-22-2-22-22000000000000000000000000-22000
χ552-2-2222000000-2-2-2-2222-2-22000000000000-222-2-22-222-22-2000000000000000000000000-22000
χ562-2-2222000000-2-2-2-2222-2-22000000000000-22-22-22-22-22-220000000000000000000000002-2000
χ574444-2-2444444-2-2-2-2-2-21111-2-2-2-2-2-2-2-2-2-2-2-200000000000011111100000000000000000000000
χ584444-2-244-4-4-4-4-2-2-2-2-2-21111-2-2-2-22222222200000000000011-1-1-1-100000000000000000000000
χ594444-2-2-4-444-4-4-2-2-2-2-2-211112222-2-222-2-222000000000000-1-111-1-100000000000000000000000
χ604444-2-2-4-4-4-444-2-2-2-2-2-21111222222-2-222-2-2000000000000-1-1-1-11100000000000000000000000
χ6144-4-4440000004-44-4-4-444-4-400000000000000000000000000000000000000000000000000000
χ6244-4-44-200000042-2-42-4-2-2220000000000000000000023−23−232300000000000000000000000000000
χ6344-4-44-200000042-2-42-4-2-22200000000000000000000−232323−2300000000000000000000000000000
χ6444-4-4-24000000-2-442-42-2-2220000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ6544-4-4-24000000-2-442-42-2-22200000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ664-44-4-2-24-44i−4i4i−4i2-22-2221-11-1-22-22−2i2i−2i2i−2i2i−2i2i0000000000001-1i−ii−i00000000000000000000000
χ674-44-4-2-24-4−4i4i−4i4i2-22-2221-11-1-22-222i−2i2i−2i2i−2i2i−2i0000000000001-1−ii−ii00000000000000000000000
χ684-44-4-2-2-444i−4i−4i4i2-22-2221-11-12-22-2−2i2i2i−2i−2i2i2i−2i000000000000-11i−i−ii00000000000000000000000
χ694-44-4-2-2-44−4i4i4i−4i2-22-2221-11-12-22-22i−2i−2i2i2i−2i−2i2i000000000000-11−iii−i00000000000000000000000
χ704-4-444-2000000-422-4-24-222-2000000000000004-40000-22-2200000000000000000000000000000
χ714-4-444-2000000-422-4-24-222-200000000000000-4400002-22-200000000000000000000000000000
χ724-4-44-240000002-4-424-2-222-20000000000004-400-22-22000000000000000000000000000000000
χ734-4-44-240000002-4-424-2-222-2000000000000-44002-22-2000000000000000000000000000000000
χ7488-8-8-4-4000000-44-444422-2-200000000000000000000000000000000000000000000000000000
χ758-8-88-4-40000004444-4-42-2-2200000000000000000000000000000000000000000000000000000

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