Finite Group Databasebeta

← Group #10590183

Character table — Group #10590183

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444444444444444444444444444441818181836363636363636363636
order124424336666668812121212121212122424242424242424242424242424242422444444888888
χ1111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1ii−i−i-1-1ii−i−i
χ41111111111111111111111111111111111111111-1-1-1-1−i−iii-1-1−i−iii
χ511111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ611111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ711111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11−i−iii
χ811111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11ii−i−i
χ911-1-11-111111111i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-11-1i−ii−ii−i
χ1011-1-11-111111111i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11-11i−i−ii−ii
χ1111-1-11-111111111i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111i−i−ii−ii-111-1
χ1211-1-11-111111111i−i-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−iii−i−ii1-1-11
χ1311-1-11-111111111−ii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-11-1−ii−ii−ii
χ1411-1-11-111111111−ii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11-11−iii−ii−i
χ1511-1-11-111111111−ii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111i−i−iii−i1-1-11
χ1611-1-11-111111111−ii-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111−iii−ii−i-111-1
χ172222-2-222-2-2-2-22200-2-2-2-2222200000000000000002-2-220000000000
χ182222-2-222-2-2-2-22200-2-2-2-222220000000000000000-222-20000000000
χ1922-2-2-2222-2-2-2-222002222-2-2-2-200000000000000002-22-20000000000
χ2022-2-2-2222-2-2-2-222002222-2-2-2-20000000000000000-22-220000000000
χ214444441-211-2-21-24411-2-211-2-21111-2-2-2-21111-2-2-2-200000000000000
χ224444441-211-2-21-2-4-411-2-211-2-2-1-1-1-12222-1-1-1-1222200000000000000
χ23444444-21-2-211-2144-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000
χ24444444-21-2-211-21-4-4-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000
χ254444-4-41-2-1-1221-200-1-12211-2-233-3-3000033-3-3000000000000000000
χ264444-4-41-2-1-1221-200-1-12211-2-2-3-3330000-3-333000000000000000000
χ274444-4-4-2122-1-1-210022-1-1-2-211000033-3-3000033-3-300000000000000
χ284444-4-4-2122-1-1-210022-1-1-2-2110000-3-3330000-3-33300000000000000
χ2944-4-44-41-211-2-21-24i−4i-1-122-1-122iiii−2i−2i−2i−2i−i−i−i−i2i2i2i2i00000000000000
χ3044-4-44-41-211-2-21-2−4i4i-1-122-1-122−i−i−i−i2i2i2i2iiiii−2i−2i−2i−2i00000000000000
χ3144-4-44-4-21-2-211-214i−4i22-1-122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000
χ3244-4-44-4-21-2-211-21−4i4i22-1-122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000
χ3344-4-4-441-2-1-1221-20011-2-2-1-1223i3i−3i−3i0000−3i−3i3i3i000000000000000000
χ3444-4-4-441-2-1-1221-20011-2-2-1-122−3i−3i3i3i00003i3i−3i−3i000000000000000000
χ3544-4-4-44-2122-1-1-2100-2-21122-1-100003i3i−3i−3i0000−3i−3i3i3i00000000000000
χ3644-4-4-44-2122-1-1-2100-2-21122-1-10000−3i−3i3i3i00003i3i−3i−3i00000000000000
χ374-44i−4i001-23-300-12003i−3i00i−i2i−2i−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300−2ζ7+2ζ232ζ7−2ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13002ζ5−2ζ13−2ζ5+2ζ1300000000000000
χ384-44i−4i001-23-300-12003i−3i00i−i2i−2iζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23002ζ7−2ζ23−2ζ7+2ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300−2ζ5+2ζ132ζ5−2ζ1300000000000000
χ394-44i−4i001-2-3300-1200−3i3i00i−i2i−2i−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−2ζ7+2ζ232ζ7−2ζ2300ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ132ζ5−2ζ13−2ζ5+2ζ130000000000000000
χ404-44i−4i001-2-3300-1200−3i3i00i−i2i−2iζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ232ζ7−2ζ23−2ζ7+2ζ2300−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−2ζ5+2ζ132ζ5−2ζ130000000000000000
χ414-44i−4i00440000-4-40000004i−4i−4i4i000000000000000000000000000000
χ424-44i−4i00-21003-32-100003i−3i−2i2i−ii00−2ζ7+2ζ232ζ7−2ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23002ζ5−2ζ13−2ζ5+2ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000000000
χ434-44i−4i00-21003-32-100003i−3i−2i2i−ii002ζ7−2ζ23−2ζ7+2ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300−2ζ5+2ζ132ζ5−2ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000000000
χ444-44i−4i00-2100-332-10000−3i3i−2i2i−ii−2ζ7+2ζ232ζ7−2ζ2300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ232ζ5−2ζ13−2ζ5+2ζ1300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000
χ454-44i−4i00-2100-332-10000−3i3i−2i2i−ii2ζ7−2ζ23−2ζ7+2ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−2ζ5+2ζ132ζ5−2ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000
χ464-4−4i4i001-23-300-1200−3i3i00−ii−2i2iζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13002ζ5−2ζ13−2ζ5+2ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300−2ζ7+2ζ232ζ7−2ζ2300000000000000
χ474-4−4i4i001-23-300-1200−3i3i00−ii−2i2i−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300−2ζ5+2ζ132ζ5−2ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23002ζ7−2ζ23−2ζ7+2ζ2300000000000000
χ484-4−4i4i001-2-3300-12003i−3i00−ii−2i2iζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ132ζ5−2ζ13−2ζ5+2ζ1300−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−2ζ7+2ζ232ζ7−2ζ230000000000000000
χ494-4−4i4i001-2-3300-12003i−3i00−ii−2i2i−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−2ζ5+2ζ132ζ5−2ζ1300ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ232ζ7−2ζ23−2ζ7+2ζ230000000000000000
χ504-4−4i4i00440000-4-4000000−4i4i4i−4i000000000000000000000000000000
χ514-4−4i4i00-21003-32-10000−3i3i2i−2ii−i002ζ5−2ζ13−2ζ5+2ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300−2ζ7+2ζ232ζ7−2ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000000000
χ524-4−4i4i00-21003-32-10000−3i3i2i−2ii−i00−2ζ5+2ζ132ζ5−2ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13002ζ7−2ζ23−2ζ7+2ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000000000
χ534-4−4i4i00-2100-332-100003i−3i2i−2ii−i2ζ5−2ζ13−2ζ5+2ζ1300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−2ζ7+2ζ232ζ7−2ζ2300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000
χ544-4−4i4i00-2100-332-100003i−3i2i−2ii−i−2ζ5+2ζ132ζ5−2ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ132ζ7−2ζ23−2ζ7+2ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.