Finite Group Databasebeta

← Group #10594189

Character table — Group #10594189

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222222244444444444444446666666666668888881212121212121212121212121212121212121818363636
order1222223344446666663666666612121212121212124444121212121212121266121212122244446666121212121212121244244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-11111111-11-11-111-1-111-1-111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-11111111111-11-11-11-1-111-1-111-1-111-1-1-1-1-1
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
χ511111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11
χ611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-11-111-1-1-111-1-11111-1-1-1-111-1
χ711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11-1-1111-1-111-1-1-1-111-1-111-1
χ811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-111-1-11
χ91111-1-11111-1-11111111-1-1-1-11111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-11-1
χ101111-1-11111-1-11111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111-1-11-1-11111-1-1-1-111-1-11-11
χ111111-1-11111-1-11111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-1-111-111-1-1-1-11111-1-1-1-11-11
χ121111-1-11111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1111111-11-1
χ131111-1-111-1-1111111111-1-1-1-1111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1
χ141111-1-111-1-1111111111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111-1-11-1111-1-1-1-111-1-111-1-1-111
χ151111-1-111-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-111-11-1-1-11111-1-111-1-1-1-1-111
χ161111-1-111-1-1111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111111-1-1
χ172222222-122222-12-12-1-122-1-1-1-1-122-1-122-1-100220000-1-1-1-1-1-1-1-1-1-102020200-1-100-1-100-1-100000
χ182222222-122222-12-12-1-122-1-1-1-1-122-1-122-1-100-2-200001111-1-1-1-1-1-10-20-20-200110011001100000
χ192222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-211-2-21100220000-1-1-1-1-1-111110-20-2020011001100-1-100000
χ202222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-211-2-21100-2-200001111-1-1111102020-200-1-100-1-1001100000
χ21222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-1222200-1-1-1-10000-1-1-1-1-1-1202020-1-100-1-100-1-10000000
χ22222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-122-2-20011110000-1-1-1-1-1-1-20-20-2011001100110000000
χ23222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-211-2-22200-1-1-1-10000-1-11111-20-202011001100-1-10000000
χ24222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-211-2-2-2-20011110000-1-111112020-20-1-100-1-100110000000
χ252222-2-22-122-2-22-12-12-1-1-2-211-1-1-122-1-1-2-21100220000-1-1-1-111-1-1110-2020-2001100-1-1001100000
χ262222-2-22-122-2-22-12-12-1-1-2-211-1-1-122-1-1-2-21100-2-20000111111-1-111020-20200-1-1001100-1-100000
χ272222-2-22-1-2-2222-12-12-1-1-2-211-1-1-1-2-21122-1-100220000-1-1-1-11111-1-1020-20-200-1-10011001100000
χ282222-2-22-1-2-2222-12-12-1-1-2-211-1-1-1-2-21122-1-100-2-2000011111111-1-10-20202001100-1-100-1-100000
χ292222-2-2-1222-2-2-12-12-12-111-2-2-1-1-1-1-12211-2-22200-1-1-1-1000011-1-111-2020-201100-1-100110000000
χ302222-2-2-1222-2-2-12-12-12-111-2-2-1-1-1-1-12211-2-2-2-2001111000011-1-11120-2020-1-1001100-1-10000000
χ312222-2-2-12-2-222-12-12-12-111-2-2-1-1-111-2-2-1-1222200-1-1-1-100001111-1-120-20-20-1-1001100110000000
χ322222-2-2-12-2-222-12-12-12-111-2-2-1-1-111-2-2-1-122-2-200111100001111-1-1-2020201100-1-100-1-10000000
χ332-22-22-2222i−2i2i−2i-2-222-2-222-22-22-2-22i−2i2i−2i2i−2i2i−2i0000000000002-22i−2i2i−2i00000000000000000000000
χ342-22-22-222−2i2i−2i2i-2-222-2-222-22-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000002-2−2i2i−2i2i00000000000000000000000
χ352-22-22-22-12i−2i2i−2i-212-1-21-12-2-11-1112i−2i−ii2i−2i−ii0000000033−3−3-11−ii−ii00000000−i3i300−i3i3003−300000
χ362-22-22-22-12i−2i2i−2i-212-1-21-12-2-11-1112i−2i−ii2i−2i−ii00000000−3−333-11−ii−ii00000000i3−i300i3−i300−3300000
χ372-22-22-22-1−2i2i−2i2i-212-1-21-12-2-11-111−2i2ii−i−2i2ii−i0000000033−3−3-11i−ii−i00000000i3−i300i3−i3003−300000
χ382-22-22-22-1−2i2i−2i2i-212-1-21-12-2-11-111−2i2ii−i−2i2ii−i00000000−3−333-11i−ii−i00000000−i3i300−i3i300−3300000
χ392-22-22-2-122i−2i2i−2i1-2-121-2-1-112-2-111−ii2i−2i−ii2i−2i000033−3−30000-11−ii−ii000000−i3i300−i3i3003−30000000
χ402-22-22-2-122i−2i2i−2i1-2-121-2-1-112-2-111−ii2i−2i−ii2i−2i0000−3−3330000-11−ii−ii000000i3−i300i3−i300−330000000
χ412-22-22-2-12−2i2i−2i2i1-2-121-2-1-112-2-111i−i−2i2ii−i−2i2i000033−3−30000-11i−ii−i000000i3−i300i3−i3003−30000000
χ422-22-22-2-12−2i2i−2i2i1-2-121-2-1-112-2-111i−i−2i2ii−i−2i2i0000−3−3330000-11i−ii−i000000−i3i300−i3i300−330000000
χ432-22-2-22222i−2i−2i2i-2-222-2-22-22-222-2-22i−2i2i−2i−2i2i−2i2i000000000000-222i−2i−2i2i00000000000000000000000
χ442-22-2-2222−2i2i2i−2i-2-222-2-22-22-222-2-2−2i2i−2i2i2i−2i2i−2i000000000000-22−2i2i2i−2i00000000000000000000000
χ452-22-2-222-12i−2i−2i2i-212-1-21-1-221-1-1112i−2i−ii−2i2ii−i0000000033−3−31-1−iii−i00000000i3−i300−i3i300−3300000
χ462-22-2-222-12i−2i−2i2i-212-1-21-1-221-1-1112i−2i−ii−2i2ii−i00000000−3−3331-1−iii−i00000000−i3i300i3−i3003−300000
χ472-22-2-222-1−2i2i2i−2i-212-1-21-1-221-1-111−2i2ii−i2i−2i−ii0000000033−3−31-1i−i−ii00000000−i3i300i3−i300−3300000
χ482-22-2-222-1−2i2i2i−2i-212-1-21-1-221-1-111−2i2ii−i2i−2i−ii00000000−3−3331-1i−i−ii00000000i3−i300−i3i3003−300000
χ492-22-2-22-122i−2i−2i2i1-2-121-2-11-1-22-111−ii2i−2ii−i−2i2i000033−3−300001-1−iii−i000000i3−i300−i3i300−330000000
χ502-22-2-22-122i−2i−2i2i1-2-121-2-11-1-22-111−ii2i−2ii−i−2i2i0000−3−33300001-1−iii−i000000−i3i300i3−i3003−30000000
χ512-22-2-22-12−2i2i2i−2i1-2-121-2-11-1-22-111i−i−2i2i−ii2i−2i000033−3−300001-1i−i−ii000000−i3i300i3−i300−330000000
χ522-22-2-22-12−2i2i2i−2i1-2-121-2-11-1-22-111i−i−2i2i−ii2i−2i0000−3−33300001-1i−i−ii000000i3−i300−i3i3003−30000000
χ532-2-2200220000-2-2-2-22220000-22-2000000002-22-22-22-22-22-20000000000000000000000002-2000
χ542-2-2200220000-2-2-2-22220000-22-2000000002-2-222-22-2-22-22000000000000000000000000-22000
χ552-2-2200220000-2-2-2-22220000-22-200000000-222-2-22-222-22-2000000000000000000000000-22000
χ562-2-2200220000-2-2-2-22220000-22-200000000-22-22-22-22-22-220000000000000000000000002-2000
χ57444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-200000000000011111100000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222222200000000000011-1-1-1-100000000000000000000000
χ594444-4-4-2-244-4-4-2-2-2-2-2-212222111-2-2-2-22222000000000000-1-111-1-100000000000000000000000
χ604444-4-4-2-2-4-444-2-2-2-2-2-2122221112222-2-2-2-2000000000000-1-1-1-11100000000000000000000000
χ6144-4-40044000044-4-4-4-440000-4-440000000000000000000000000000000000000000000000000
χ6244-4-4004-200004-2-42-42-2000022-2000000000000000023−23−232300000000000000000000000000000
χ6344-4-4004-200004-2-42-42-2000022-20000000000000000−232323−2300000000000000000000000000000
χ6444-4-400-240000-242-42-4-2000022-200000000000023−23−2323000000000000000000000000000000000
χ6544-4-400-240000-242-42-4-2000022-2000000000000−232323−23000000000000000000000000000000000
χ664-44-44-4-2-24i−4i4i−4i22-2-2221-22-221-1-1−2i2i−2i2i−2i2i−2i2i0000000000001-1i−ii−i00000000000000000000000
χ674-44-44-4-2-2−4i4i−4i4i22-2-2221-22-221-1-12i−2i2i−2i2i−2i2i−2i0000000000001-1−ii−ii00000000000000000000000
χ684-44-4-44-2-24i−4i−4i4i22-2-22212-22-21-1-1−2i2i−2i2i2i−2i2i−2i000000000000-11i−i−ii00000000000000000000000
χ694-44-4-44-2-2−4i4i4i−4i22-2-22212-22-21-1-12i−2i2i−2i−2i2i−2i2i000000000000-11−iii−i00000000000000000000000
χ704-4-44004-20000-42-424-2-200002-2200000000004-40000-22-2200000000000000000000000000000
χ714-4-44004-20000-42-424-2-200002-220000000000-4400002-22-200000000000000000000000000000
χ724-4-4400-2400002-42-4-24-200002-22000000004-400-22-22000000000000000000000000000000000
χ734-4-4400-2400002-42-4-24-200002-2200000000-44002-22-2000000000000000000000000000000000
χ7488-8-800-4-40000-4-4444420000-2-220000000000000000000000000000000000000000000000000
χ758-8-8800-4-400004444-4-420000-22-20000000000000000000000000000000000000000000000000

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