Finite Group Databasebeta

← Group #11874898

Character table — Group #11874898

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112228888888899181818181818181818181872727272112228888888899181818181818181818181872727272
order124883612122424242422444448888884444224886612122424242422444448888884444
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1
χ3111111111111111-1-1-1-1111-1-1-1-111-1-1111111111111111-1-1-1-1111-1-1-1-111-1-1
χ4111111111111111-1-1-1-1111-1-1-1-1-1-111111111111111111-1-1-1-1111-1-1-1-1-1-111
χ5111-1-11111-1-1-1-11111111-1-1-1-1-1-11-11-1111-1-11111-1-1-1-11111111-1-1-1-1-1-11-11-1
χ6111-1-11111-1-1-1-11111111-1-1-1-1-1-1-11-11111-1-11111-1-1-1-11111111-1-1-1-1-1-1-11-11
χ7111-1-11111-1-1-1-111-1-1-1-11-1-111111-1-11111-1-11111-1-1-1-111-1-1-1-11-1-111111-1-11
χ8111-1-11111-1-1-1-111-1-1-1-11-1-11111-111-1111-1-11111-1-1-1-111-1-1-1-11-1-11111-111-1
χ92222222222222-2-20000-2-2-2000000002222222222222-2-20000-2-2-200000000
χ10222-2-22222-2-2-2-2-2-20000-22200000000222-2-22222-2-2-2-2-2-20000-22200000000
χ1122-20022-2-200002222-2-2-2000000000022-20022-2-200002222-2-2-20000000000
χ1222-20022-2-2000022-2-222-2000000000022-20022-2-2000022-2-222-20000000000
χ1322-20022-2-20000-2-2000020022-2-2000022-20022-2-20000-2-2000020022-2-20000
χ1422-20022-2-20000-2-20000200-2-222000022-20022-2-20000-2-20000200-2-2220000
χ152-20i2−i22-200i2i2−i2−i22-2002-20i2−i2i2−i2i2−i200002-20i2−i22-200i2i2−i2−i22-2002-20i2−i2i2−i2i2−i20000
χ162-20i2−i22-200i2i2−i2−i22-200-220i2−i2−i2i2−i2i200002-20i2−i22-200i2i2−i2−i22-200-220i2−i2−i2i2−i2i20000
χ172-20i2−i22-200i2i2−i2−i2-222-2000−i2i2i2−i2−i2i200002-20i2−i22-200i2i2−i2−i2-222-2000−i2i2i2−i2−i2i20000
χ182-20i2−i22-200i2i2−i2−i2-22-22000−i2i2−i2i2i2−i200002-20i2−i22-200i2i2−i2−i2-22-22000−i2i2−i2i2i2−i20000
χ192-20−i2i22-200−i2−i2i2i22-2002-20−i2i2−i2i2−i2i200002-20−i2i22-200−i2−i2i2i22-2002-20−i2i2−i2i2−i2i20000
χ202-20−i2i22-200−i2−i2i2i22-200-220−i2i2i2−i2i2−i200002-20−i2i22-200−i2−i2i2i22-200-220−i2i2i2−i2i2−i20000
χ212-20−i2i22-200−i2−i2i2i2-222-2000i2−i2−i2i2i2−i200002-20−i2i22-200−i2−i2i2i2-222-2000i2−i2−i2i2i2−i20000
χ222-20−i2i22-200−i2−i2i2i2-22-22000i2−i2i2−i2−i2i200002-20−i2i22-200−i2−i2i2i2-22-22000i2−i2i2−i2−i2i20000
χ2388888-1-1-1-1-1-1-1-10000000000000000088888-1-1-1-1-1-1-1-100000000000000000
χ24888-8-8-1-1-1-1111100000000000000000888-8-8-1-1-1-1111100000000000000000
χ2588-800-1-1113i−3i3i−3i0000000000000000088-800-1-1113i−3i3i−3i00000000000000000
χ2688-800-1-111−3i3i−3i3i0000000000000000088-800-1-111−3i3i−3i3i00000000000000000
χ278-804i2−4i2-113i−3iζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3000000000000000008-804i2−4i2-113i−3iζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000
χ288-804i2−4i2-11−3i3i−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3000000000000000008-804i2−4i2-11−3i3i−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000
χ298-80−4i24i2-113i−3i−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3000000000000000008-80−4i24i2-113i−3i−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000
χ308-80−4i24i2-11−3i3i2ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3000000000000000008-80−4i24i2-11−3i3i2ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000
χ31111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ33111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111
χ34111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1
χ35111-1-11111-1-1-1-11111111-1-1-1-1-1-11-11-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111111-11-11
χ36111-1-11111-1-1-1-11111111-1-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111111-11-1
χ37111-1-11111-1-1-1-111-1-1-1-11-1-111111-1-11-1-1-111-1-1-1-11111-1-11111-111-1-1-1-1-111-1
χ38111-1-11111-1-1-1-111-1-1-1-11-1-11111-111-1-1-1-111-1-1-1-11111-1-11111-111-1-1-1-11-1-11
χ392222222222222-2-20000-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-222000022200000000
χ40222-2-22222-2-2-2-2-2-20000-22200000000-2-2-222-2-2-2-222222200002-2-200000000
χ4122-20022-2-200002222-2-2-20000000000-2-2200-2-2220000-2-2-2-22220000000000
χ4222-20022-2-2000022-2-222-20000000000-2-2200-2-2220000-2-222-2-220000000000
χ4322-20022-2-20000-2-2000020022-2-20000-2-2200-2-2220000220000-200-2-2220000
χ4422-20022-2-20000-2-20000200-2-2220000-2-2200-2-2220000220000-20022-2-20000
χ452-20i2−i22-200i2i2−i2−i22-2002-20i2−i2i2−i2i2−i20000-220−i2i2-2200−i2−i2i2i2-2200-220−i2i2−i2i2−i2i20000
χ462-20i2−i22-200i2i2−i2−i22-200-220i2−i2−i2i2−i2i20000-220−i2i2-2200−i2−i2i2i2-22002-20−i2i2i2−i2i2−i20000
χ472-20i2−i22-200i2i2−i2−i2-222-2000−i2i2i2−i2−i2i20000-220−i2i2-2200−i2−i2i2i22-2-22000i2−i2−i2i2i2−i20000
χ482-20i2−i22-200i2i2−i2−i2-22-22000−i2i2−i2i2i2−i20000-220−i2i2-2200−i2−i2i2i22-22-2000i2−i2i2−i2−i2i20000
χ492-20−i2i22-200−i2−i2i2i22-2002-20−i2i2−i2i2−i2i20000-220i2−i2-2200i2i2−i2−i2-2200-220i2−i2i2−i2i2−i20000
χ502-20−i2i22-200−i2−i2i2i22-200-220−i2i2i2−i2i2−i20000-220i2−i2-2200i2i2−i2−i2-22002-20i2−i2−i2i2−i2i20000
χ512-20−i2i22-200−i2−i2i2i2-222-2000i2−i2−i2i2i2−i20000-220i2−i2-2200i2i2−i2−i22-2-22000−i2i2i2−i2−i2i20000
χ522-20−i2i22-200−i2−i2i2i2-22-22000i2−i2i2−i2−i2i20000-220i2−i2-2200i2i2−i2−i22-22-2000−i2i2−i2i2i2−i20000
χ5388888-1-1-1-1-1-1-1-100000000000000000-8-8-8-8-81111111100000000000000000
χ54888-8-8-1-1-1-1111100000000000000000-8-8-8881111-1-1-1-100000000000000000
χ5588-800-1-1113i−3i3i−3i00000000000000000-8-880011-1-1−3i3i−3i3i00000000000000000
χ5688-800-1-111−3i3i−3i3i00000000000000000-8-880011-1-13i−3i3i−3i00000000000000000
χ578-804i2−4i2-113i−3iζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000-880−4i24i21-1−3i3i−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000
χ588-804i2−4i2-11−3i3i−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000-880−4i24i21-13i−3i2ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000
χ598-80−4i24i2-113i−3i−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000-8804i2−4i21-1−3i3iζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000
χ608-80−4i24i2-11−3i3i2ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000-8804i2−4i21-13i−3i−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000

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