Finite Group Databasebeta

← Group #10594209

Character table — Group #10594209

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222222244444444444444446666666666668888881212121212121212121212121212121212121818363636
order122222334444666666366666661212121212121212224466661212121266121212122244446666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-11111-1-1-1-11111111-111-1-1-1-111-1-11111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-1-1-11111111111-11-1-11111-1-111-1-1-1-111-1-1-1-1-1
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
χ511111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11-1-1-11-1-1-111-1-1-1-1-1-11111-1-11
χ611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-11111111-1-1-1-1-1-1-1-111-1
χ711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111111-1-111-1
χ811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1111-1-1111111-1-111-1-11
χ91111-1-11111-1-11111111-1-1-1-11111111-1-1-1-1111111111111-1-111-1-1-1-11-1-11-1-1-1-11111-1-1-1-111-11-1
χ101111-1-11111-1-11111111-1-1-1-11111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-111-11-111-1-1-1-111-1-111-1-11-11
χ111111-1-11111-1-11111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-1-11-11-1-11111-1-111-1-1-1-11-11
χ121111-1-11111-1-11111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11111-1-1-1-1111111-11-1
χ131111-1-111-1-1111111111-1-1-1-1111-1-1-1-11111111111111111-1-1-1-111-11-11-1-111-1-1-1-1-1-111-1-1111-1-1
χ141111-1-111-1-1111111111-1-1-1-1111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-11111-1-1-111
χ151111-1-111-1-1111111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111111-1-1-11111-1-111-1-1-1-1-1-1-111
χ161111-1-111-1-1111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-1111111-1-111111-1-1
χ172222222-12222-122-1-12-122-1-1-1-1-122-1-1-1-1222200-1-1-1-10000-1-1-1-1-1-120220000-1-100-1-1-1-10000000
χ182222222-12222-122-1-12-122-1-1-1-1-122-1-1-1-122-2-20011110000-1-1-1-1-1-1-20-2-20000110011110000000
χ192222222-1-2-2-2-2-122-1-12-122-1-1-1-1-1-2-21111-2-22200-1-1-1-10000-1-1111120-2-20000-1-10011110000000
χ202222222-1-2-2-2-2-122-1-12-122-1-1-1-1-1-2-21111-2-2-2-20011110000-1-11111-202200001100-1-1-1-10000000
χ21222222-1222222-1-122-1-1-1-122-1-1-1-1-12222-1-100220000-1-1-1-1-1-1-1-1-1-1020022-1-100-1-10000-1-100000
χ22222222-1222222-1-122-1-1-1-122-1-1-1-1-12222-1-100-2-200001111-1-1-1-1-1-10-200-2-211001100001100000
χ23222222-12-2-2-2-22-1-122-1-1-1-122-1-1-111-2-2-2-21100220000-1-1-1-1-1-111110-2002-21100110000-1-100000
χ24222222-12-2-2-2-22-1-122-1-1-1-122-1-1-111-2-2-2-21100-2-200001111-1-111110200-22-1-100-1-100001100000
χ252222-2-22-122-2-2-122-1-12-1-2-211-1-1-122-1-111-2-22200-1-1-1-1000011-1-111-202-200001100-1-1110000000
χ262222-2-22-122-2-2-122-1-12-1-2-211-1-1-122-1-111-2-2-2-2001111000011-1-11120-220000-1-10011-1-10000000
χ272222-2-22-1-2-222-122-1-12-1-2-211-1-1-1-2-211-1-1222200-1-1-1-100001111-1-1-20-220000110011-1-10000000
χ282222-2-22-1-2-222-122-1-12-1-2-211-1-1-1-2-211-1-122-2-200111100001111-1-1202-20000-1-100-1-1110000000
χ292222-2-2-1222-2-22-1-122-1-111-2-2-1-1-1-1-122-2-21100220000-1-1-1-111-1-1110-200-221100-1-100001100000
χ302222-2-2-1222-2-22-1-122-1-111-2-2-1-1-1-1-122-2-21100-2-20000111111-1-11102002-2-1-100110000-1-100000
χ312222-2-2-12-2-2222-1-122-1-111-2-2-1-1-111-2-222-1-100220000-1-1-1-11111-1-10200-2-2-1-1001100001100000
χ322222-2-2-12-2-2222-1-122-1-111-2-2-1-1-111-2-222-1-100-2-2000011111111-1-10-200221100-1-10000-1-100000
χ3322-2-200220000-22-22-2-220000-22-2000000002-22i−2i22-2-22i2i−2i−2i0000000000000000000000002i−2i000
χ3422-2-200220000-22-22-2-220000-22-2000000002-2−2i2i22-2-2−2i−2i2i2i000000000000000000000000−2i2i000
χ3522-2-200220000-22-22-2-220000-22-200000000-222i−2i-2-2222i2i−2i−2i000000000000000000000000−2i2i000
χ3622-2-200220000-22-22-2-220000-22-200000000-22−2i2i-2-222−2i−2i2i2i0000000000000000000000002i−2i000
χ372-2-222-2222i−2i2i−2i2-22-2-2-222-22-22-2-22i−2i2i−2i2i−2i2i−2i0000000000002-22i−2i2i−2i00000000000000000000000
χ382-2-222-222−2i2i−2i2i2-22-2-2-222-22-22-2-2−2i2i−2i2i−2i2i−2i2i0000000000002-2−2i2i−2i2i00000000000000000000000
χ392-2-222-22-12i−2i2i−2i-1-2211-2-12-2-11-1112i−2i−ii−ii2i−2i0000−i3i3−i3i30000-11−ii−ii00000000−i3i3003−33−30000000
χ402-2-222-22-12i−2i2i−2i-1-2211-2-12-2-11-1112i−2i−ii−ii2i−2i0000i3−i3i3−i30000-11−ii−ii00000000i3−i300−33−330000000
χ412-2-222-22-1−2i2i−2i2i-1-2211-2-12-2-11-111−2i2ii−ii−i−2i2i0000−i3i3−i3i30000-11i−ii−i00000000−i3i300−33−330000000
χ422-2-222-22-1−2i2i−2i2i-1-2211-2-12-2-11-111−2i2ii−ii−i−2i2i0000i3−i3i3−i30000-11i−ii−i00000000i3−i3003−33−30000000
χ432-2-222-2-122i−2i2i−2i21-1-2-21-1-112-2-111−ii2i−2i2i−2i−ii000000003−33−3-11−ii−ii000000−i3i300−i3i300003−300000
χ442-2-222-2-122i−2i2i−2i21-1-2-21-1-112-2-111−ii2i−2i2i−2i−ii00000000−33−33-11−ii−ii000000i3−i300i3−i30000−3300000
χ452-2-222-2-12−2i2i−2i2i21-1-2-21-1-112-2-111i−i−2i2i−2i2ii−i000000003−33−3-11i−ii−i000000i3−i300i3−i300003−300000
χ462-2-222-2-12−2i2i−2i2i21-1-2-21-1-112-2-111i−i−2i2i−2i2ii−i00000000−33−33-11i−ii−i000000−i3i300−i3i30000−3300000
χ472-2-22-22222i−2i−2i2i2-22-2-2-22-22-222-2-22i−2i2i−2i−2i2i−2i2i000000000000-222i−2i−2i2i00000000000000000000000
χ482-2-22-2222−2i2i2i−2i2-22-2-2-22-22-222-2-2−2i2i−2i2i2i−2i2i−2i000000000000-22−2i2i2i−2i00000000000000000000000
χ492-2-22-222-12i−2i−2i2i-1-2211-2-1-221-1-1112i−2i−iii−i−2i2i0000−i3i3−i3i300001-1−iii−i00000000i3−i3003−3−330000000
χ502-2-22-222-12i−2i−2i2i-1-2211-2-1-221-1-1112i−2i−iii−i−2i2i0000i3−i3i3−i300001-1−iii−i00000000−i3i300−333−30000000
χ512-2-22-222-1−2i2i2i−2i-1-2211-2-1-221-1-111−2i2ii−i−ii2i−2i0000−i3i3−i3i300001-1i−i−ii00000000i3−i300−333−30000000
χ522-2-22-222-1−2i2i2i−2i-1-2211-2-1-221-1-111−2i2ii−i−ii2i−2i0000i3−i3i3−i300001-1i−i−ii00000000−i3i3003−3−330000000
χ532-2-22-22-122i−2i−2i2i21-1-2-21-11-1-22-111−ii2i−2i−2i2ii−i000000003−33−31-1−iii−i000000i3−i300−i3i30000−3300000
χ542-2-22-22-122i−2i−2i2i21-1-2-21-11-1-22-111−ii2i−2i−2i2ii−i00000000−33−331-1−iii−i000000−i3i300i3−i300003−300000
χ552-2-22-22-12−2i2i2i−2i21-1-2-21-11-1-22-111i−i−2i2i2i−2i−ii000000003−33−31-1i−i−ii000000−i3i300i3−i30000−3300000
χ562-2-22-22-12−2i2i2i−2i21-1-2-21-11-1-22-111i−i−2i2i2i−2i−ii00000000−33−331-1i−i−ii000000i3−i300−i3i300003−300000
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
χ6144-4-4004-2000024-4-22-4-200002-22000000004-400-2-222000000000000000000000000000000000
χ6244-4-4004-2000024-4-22-4-200002-2200000000-440022-2-2000000000000000000000000000000000
χ6344-4-400-240000-4-224-42-200002-2200000000004i−4i0000−2i−2i2i2i00000000000000000000000000000
χ6444-4-400-240000-4-224-42-200002-220000000000−4i4i00002i2i−2i−2i00000000000000000000000000000
χ654-44-400440000-4-4-4-44440000-4-440000000000000000000000000000000000000000000000000
χ664-44-4004-200002-4-42-24-2000022-2000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ674-44-4004-200002-4-42-24-2000022-20000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ684-44-400-240000-422-44-2-2000022-20000000000000000−2i32i32i3−2i300000000000000000000000000000
χ694-44-400-240000-422-44-2-2000022-200000000000000002i3−2i3−2i32i300000000000000000000000000000
χ704-4-444-4-2-24i−4i4i−4i-22-22221-22-221-1-1−2i2i−2i2i−2i2i−2i2i0000000000001-1i−ii−i00000000000000000000000
χ714-4-444-4-2-2−4i4i−4i4i-22-22221-22-221-1-12i−2i2i−2i2i−2i2i−2i0000000000001-1−ii−ii00000000000000000000000
χ724-4-44-44-2-24i−4i−4i4i-22-222212-22-21-1-1−2i2i−2i2i2i−2i2i−2i000000000000-11i−i−ii00000000000000000000000
χ734-4-44-44-2-2−4i4i4i−4i-22-222212-22-21-1-12i−2i2i−2i−2i2i−2i2i000000000000-11−iii−i00000000000000000000000
χ7488-8-800-4-400004-44-44420000-22-20000000000000000000000000000000000000000000000000
χ758-88-800-4-400004444-4-420000-2-220000000000000000000000000000000000000000000000000

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