Finite Group Databasebeta

← Group #11714017

Character table — Group #11714017

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order12224444222244444444436661212121244444121212121212121212121212888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-11-1-1111111111111-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111-1-11-1-1111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-11111111-1-1-11-1-111111-1-1-1-111-1-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ611111-1-11111111-1-1-11-1-111111-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ711111-1-111111-1-1-1111-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ811111-1-111111-1-1-1111-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ9222222222222222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ10222222222222-2-22-2-22222-1-1-1-1-1-1-1-1-2-22-2-2-1-1-1-111111111000000000000
χ1122222-2-22222222-2-2-22-2-22-1-1-1-1111122-2-2-2-1-111-1-1-1-11111000000000000
χ1222222-2-222222-2-2-2222-2-22-1-1-1-11111-2-2-222-1-1111111-1-1-1-1000000000000
χ132222-222-2222200-200-222-22222222200-200-2-2-2-200000000000000000000
χ142222-222-2222200-200-222-2-1-1-1-1-1-1-1-100-2001111−i3−i3i3i3−i3−i3i3i3000000000000
χ152222-222-2222200-200-222-2-1-1-1-1-1-1-1-100-2001111i3i3−i3−i3i3i3−i3−i3000000000000
χ162222-2-2-2-2222200200-2-2-2-22222-2-2-2-200200-2-22200000000000000000000
χ172222-2-2-2-2222200200-2-2-2-2-1-1-1-111110020011-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ182222-2-2-2-2222200200-2-2-2-2-1-1-1-111110020011-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ1922-2-2200-222-2-22-2000200-22-22-200002-20002-2002-22-20000000000000000
χ2022-2-2200-222-2-22-2000200-2-11-1133−3−32-2000-113−3-11-113−33−3000000000000
χ2122-2-2200-222-2-22-2000200-2-11-11−3−3332-2000-11−33-11-11−33−33000000000000
χ2222-2-2200-222-2-2-22000200-22-22-20000-220002-200-22-220000000000000000
χ2322-2-2200-222-2-2-22000200-2-11-1133−3−3-22000-113−31-11-1−33−33000000000000
χ2422-2-2200-222-2-2-22000200-2-11-11−3−333-22000-11−331-11-13−33−3000000000000
χ2522-2-2-200222-2-20002i−2i-20022-22-200000002i−2i-220000002i−2i−2i2i000000000000
χ2622-2-2-200222-2-20002i−2i-2002-11-1133−3−30002i−2i1-1−33−i3i3i3−i3−iii−i000000000000
χ2722-2-2-200222-2-20002i−2i-2002-11-11−3−3330002i−2i1-13−3i3−i3−i3i3−iii−i000000000000
χ2822-2-2-200222-2-2000−2i2i-20022-22-20000000−2i2i-22000000−2i2i2i−2i000000000000
χ2922-2-2-200222-2-2000−2i2i-2002-11-1133−3−3000−2i2i1-1−33i3−i3−i3i3i−i−ii000000000000
χ3022-2-2-200222-2-2000−2i2i-2002-11-11−3−333000−2i2i1-13−3−i3i3i3−i3i−i−ii000000000000
χ312-2-2202i−2i02-22-20000002i−2i02-2-222i−2i2i−2i000000000000000002−2−i2i22−2−i2i20000
χ322-2-2202i−2i02-22-20000002i−2i02-2-222i−2i2i−2i00000000000000000−22i2−i2−22i2−i20000
χ332-2-220−2i2i02-22-2000000−2i2i02-2-22−2i2i−2i2i000000000000000002−2i2−i22−2i2−i20000
χ342-2-220−2i2i02-22-2000000−2i2i02-2-22−2i2i−2i2i00000000000000000−22−i2i2−22−i2i20000
χ3533333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-10000000000001111-1-1-1-111-1-1
χ3633333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-1000000000000-1-1-1-11111-1-111
χ3733333333-1-1-1-1-3-33-3-3-1-1-1-10000000011-1110000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-1-3-33-3-3-1-1-1-10000000011-111000000000000-1-1-1-1111111-1-1
χ3933333-3-33-1-1-1-133-3-3-3-111-100000000-1-111100000000000011-1-1-1-1111-1-11
χ4033333-3-33-1-1-1-133-3-3-3-111-100000000-1-1111000000000000-1-11111-1-1-111-1
χ4133333-3-33-1-1-1-1-3-3-333-111-100000000111-1-100000000000011-1-1-1-111-111-1
χ4233333-3-33-1-1-1-1-3-3-333-111-100000000111-1-1000000000000-1-11111-1-11-1-11
χ434-44-400004-4-4400000000044-4-4000000000000000000000000000000000
χ444-44-400004-4-44000000000-2-222−2i32i32i3−2i300000000000000000000000000000
χ454-44-400004-4-44000000000-2-2222i3−2i3−2i32i300000000000000000000000000000
χ464-4-4404i−4i04-44-40000004i−4i0-222-2−2i2i−2i2i00000000000000000000000000000
χ474-4-440−4i4i04-44-4000000−4i4i0-222-22i−2i2i−2i00000000000000000000000000000
χ486666-666-6-2-2-2-200-6002-2-220000000000200000000000000000000000000
χ496666-6-6-6-6-2-2-2-20060022220000000000-200000000000000000000000000
χ5066-6-6600-6-2-2226-6000-200200000000-22000000000000000000000000000
χ5166-6-6600-6-2-222-66000-2002000000002-2000000000000000000000000000
χ5266-6-6-6006-2-2220006i−6i200-200000000000−2i2i000000000000000000000000
χ5366-6-6-6006-2-222000−6i6i200-2000000000002i−2i000000000000000000000000
χ546-6-6606i−6i0-22-22000000−2i2i000000000000000000000000002−2−i2i2−22i2−i20000
χ556-6-6606i−6i0-22-22000000−2i2i00000000000000000000000000−22i2−i22−2−i2i20000
χ566-6-660−6i6i0-22-220000002i−2i000000000000000000000000002−2i2−i2−22−i2i20000
χ576-6-660−6i6i0-22-220000002i−2i00000000000000000000000000−22−i2i22−2i2−i20000
χ5812-1212-120000-444-40000000000000000000000000000000000000000000000

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