Finite Group Databasebeta

← Group #11867835

Character table — Group #11867835

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11222444444446666888888888991212121212121212121216161818182424242424242424242436364848484872727272
order1224433668812128888661212122424242422224488242424242424244244466121224248861212124444
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111-1-111111111111-1-1-1-111-1-1-1-1111111-1-111111-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111111-1-111111111111-1-1-1-111-1-1-1-1111111-1-1111-1-111-1-1-1-111-1-1-1-111-1-111
χ7111111111-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-111-1-1-1-111
χ8111111111-1-111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1111111-1-1-1-1-1-11111-1-1
χ911-1-1111111-1111111-1-1-1-1111-1-1111-11-1-1-111111-1-11-11-11-11-11-1-1-11-11-11-11-11-1
χ1011-1-1111111-1111111-1-1-1-1111-1-1111-11-1-1-111111-1-11-1-11-111-11-1-1-11-1-11-11-11-11
χ1111-1-1111111-111-1-1-1-1-1-1-1-1111-1-111-11-1111-1-1-1-11-1-11-11-11-1-11-11111-11-11-1-11-11
χ1211-1-1111111-111-1-1-1-1-1-1-1-1111-1-111-11-1111-1-1-1-11-1-11-1-11-11-11-11111-1-11-111-11-1
χ1311-1-111111-11111111-1-1-1-11-1-11111-11-11-1-11111-11-11-11-1-11-11-11-1-1-111-1-111-1-11
χ1411-1-111111-11111111-1-1-1-11-1-11111-11-11-1-11111-11-11-1-111-1-11-11-1-1-11-111-1-111-1
χ1511-1-111111-1111-1-1-1-1-1-1-1-11-1-111111-11-111-1-1-1-1-11-11-11-1-111-11-111-111-1-11-111-1
χ1611-1-111111-1111-1-1-1-1-1-1-1-11-1-111111-11-111-1-1-1-1-11-11-1-111-11-11-111-11-111-11-1-11
χ1722222222222220000222222222-2-2000000000022-2-2-20000000000-2-200000000
χ18222222222-2-222000022222-2-2-2-2-2-20000000000-2-2-2-2-200000000002200000000
χ19222-2-2222200-2-2000022-2-2-20000222-2-22000000002-2-200002-2-22000000000000
χ20222-2-2222200-2-2000022-2-2-2000022-222-2000000002-2-20000-222-2000000000000
χ21222-2-2222200-2-22i2i−2i−2i22-2-2-20000-2-200002i−2i2i2i−2i−2i00-222000000002i−2i0000000000
χ22222-2-2222200-2-2−2i−2i2i2i22-2-2-20000-2-20000−2i2i−2i−2i2i2i00-22200000000−2i2i0000000000
χ2322-22-2222200-2-20000-2-222-200002222-2-200000000-2-22000022-2-2000000000000
χ2422-22-2222200-2-20000-2-222-2000022-2-22200000000-2-220000-2-222000000000000
χ2522-22-2222200-2-22i2i−2i−2i-2-222-20000-2-20000−2i2i2i2i−2i−2i0022-200000000−2i2i0000000000
χ2622-22-2222200-2-2−2i−2i2i2i-2-222-20000-2-200002i−2i−2i−2i2i2i0022-2000000002i−2i0000000000
χ2722-2-2222222-2220000-2-2-2-2222-2-2-2-200000000002-22-220000000000-2200000000
χ2822-2-222222-22220000-2-2-2-22-2-222-2-20000000000-222-2200000000002-200000000
χ29444441-21-2441122221-21-2-2111100222222-1-1-1-1-2-20000000-1-1-1-1-1-10000000000
χ30444441-21-24411-2-2-2-21-21-2-2111100-2-2-2-2-2-21111-2-200000001111110000000000
χ31444441-21-2-4-41122221-21-2-2-1-1-1-100-2-2-2-222-1-1-1-12200000001111-1-10000000000
χ32444441-21-2-4-411-2-2-2-21-21-2-2-1-1-1-1002222-2-21111220000000-1-1-1-1110000000000
χ3344444-21-2144-2-20000-21-211-2-2-2-200000000000011000222200000000-1-1-1-10000
χ3444444-21-2144-2-20000-21-211-2-2-2-200000000000011000-2-2-2-20000000011110000
χ3544444-21-21-4-4-2-20000-21-2112222000000000000-1-100022-2-200000000-1-1110000
χ3644444-21-21-4-4-2-20000-21-2112222000000000000-1-1000-2-2220000000011-1-10000
χ37444-4-41-21-200-1-12i2i−2i−2i1-2-1223i−3i3i−3i002-2-222i−2i−i−iii000000000-111-1−ii0000000000
χ38444-4-41-21-200-1-12i2i−2i−2i1-2-122−3i3i−3i3i00-222-22i−2i−i−iii0000000001-1-11−ii0000000000
χ39444-4-41-21-200-1-1−2i−2i2i2i1-2-1223i−3i3i−3i00-222-2−2i2iii−i−i0000000001-1-11i−i0000000000
χ40444-4-41-21-200-1-1−2i−2i2i2i1-2-122−3i3i−3i3i002-2-22−2i2iii−i−i000000000-111-1i−i0000000000
χ4144-44-41-21-200-1-12i2i−2i−2i-121-223i−3i−3i3i0022-2-2−2i2i−i−iii000000000-1-111i−i0000000000
χ4244-44-41-21-200-1-12i2i−2i−2i-121-22−3i3i3i−3i00-2-222−2i2i−i−iii00000000011-1-1i−i0000000000
χ4344-44-41-21-200-1-1−2i−2i2i2i-121-223i−3i−3i3i00-2-2222i−2iii−i−i00000000011-1-1−ii0000000000
χ4444-44-41-21-200-1-1−2i−2i2i2i-121-22−3i3i3i−3i0022-2-22i−2iii−i−i000000000-1-111−ii0000000000
χ4544-4-441-21-24-4112222-12-12-211-1-1002-22-2-2-2-1-1-1-1-220000000-11-11110000000000
χ4644-4-441-21-24-411-2-2-2-2-12-12-211-1-100-22-22221111-2200000001-11-1-1-10000000000
χ4744-4-441-21-2-44112222-12-12-2-1-11100-22-22-2-2-1-1-1-12-200000001-11-1110000000000
χ4844-4-441-21-2-4411-2-2-2-2-12-12-2-1-111002-22-22211112-20000000-11-11-1-10000000000
χ4944-4-44-21-214-4-2-200002-12-11-2-2220000000000001-10002-22-200000000-11-110000
χ5044-4-44-21-214-4-2-200002-12-11-2-2220000000000001-1000-22-22000000001-11-10000
χ5144-4-44-21-21-44-2-200002-12-1122-2-2000000000000-110002-2-2200000000-111-10000
χ5244-4-44-21-21-44-2-200002-12-1122-2-2000000000000-11000-222-2000000001-1-110000
χ534-400044-4-400002i2−2i22i2−2i2000000000-440000002i2−2i22i2−2i20000000000000000000000000
χ544-400044-4-4000022−22−22220000000004-400000022−22−22220000000000000000000000000
χ554-400044-4-40000−222222−220000000004-4000000−222222−220000000000000000000000000
χ564-400044-4-40000−2i22i2−2i22i2000000000-44000000−2i22i2−2i22i20000000000000000000000000
χ57888-8-8-42-4200440000-424-2-200000000000000000000000000000000000000000
χ5888-88-8-42-42004400004-2-42-200000000000000000000000000000000000000000
χ598-80002-4-24006i−6i4ζ−4ζ4ζ3−4ζ300000000000000000−2ζ2ζ−2ζ32ζ30000000000000000000000000
χ608-80002-4-24006i−6i−4ζ4ζ−4ζ34ζ3000000000000000002ζ−2ζ2ζ3−2ζ30000000000000000000000000
χ618-80002-4-2400−6i6i4ζ3−4ζ34ζ−4ζ00000000000000000−2ζ32ζ3−2ζ2ζ0000000000000000000000000
χ628-80002-4-2400−6i6i−4ζ34ζ3−4ζ4ζ000000000000000002ζ3−2ζ32ζ−2ζ0000000000000000000000000
χ6316-16000-848-4000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.