Finite Group Databasebeta

← Group #11899751

Character table — Group #11899751

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1122244444488888816161616181818181818181818182424242424242424363636363636364848484848484848
order1224433668866121212122424242422448816161616222244448161616161616666612121212
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111-11-1-1-11-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-11-11111-1-1-1-1-1-11-1-1-1-1111
χ5111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-111-1111-1-1-1-1-111-1-111-1
χ6111111111-1-1111111-1-1-1-1-1-1-1-1111111-1-1111-1-11111-1-1-1-11-1-111-1-11
χ7111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111-11-1-1-111-1-11111111-1-1-1-11
χ8111111111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1111-11-1-11111-1-1-11111-1
χ911-1-1111111-1-1-1-1-11111-1-11-11-11111111-11-1-11-11-1-1-111-1-1-11-11-11-11
χ1011-1-1111111-1-1-1-1-11111-1-11-11-1111111-11-111-11-1-1-1-111-1-11-11-11-11-1
χ1111-1-1111111-1-1-1-1-11111-1-11-11-111-1-1-1-11-111-1-11-1-111-1-11111-11-1-11-1
χ1211-1-1111111-1-1-1-1-11111-1-11-11-111-1-1-1-1-11-1-111-11-111-1-111-1-11-111-11
χ1311-1-111111-11-1-1-1-111-1-111-11-111111111-1-1111-1-1-1-1-1-1-11111-1-111-1-1
χ1411-1-111111-11-1-1-1-111-1-111-11-11111111-111-1-1-111-1-1-1-1-111-1-111-1-111
χ1511-1-111111-11-1-1-1-111-1-111-11-1111-1-1-1-11-1-1-11-111-11111-1-1-11-1-11-111
χ1611-1-111111-11-1-1-1-111-1-111-11-1111-1-1-1-1-1111-11-1-1-11111-1-11-111-11-1-1
χ17222222222222222222222-2-2-2-2-2-2000000000000-200000000000000
χ18222222222-2-2222222-2-2-2-22222-2-2000000000000-200000000000000
χ19222-2-222220022-2-2-2-200002-2-220022−2−20000000002−22−22−200000000
χ20222-2-222220022-2-2-2-200002-2-2200−2−222000000000−22−22−2200000000
χ21222-2-222220022-2-2-2-20000-222-20022−2−20000000002−2−22−2200000000
χ22222-2-222220022-2-2-2-20000-222-200−2−222000000000−222−22−200000000
χ2322-22-2222200-2-222-2-2000022-2-20022−2−2000000000−222−2−2200000000
χ2422-22-2222200-2-222-2-2000022-2-200−2−2220000000002−2−222−200000000
χ2522-22-2222200-2-222-2-20000-2-2220022−2−2000000000−22−222−200000000
χ2622-22-2222200-2-222-2-20000-2-22200−2−2220000000002−22−2−2200000000
χ2722-2-2222222-2-2-2-2-22222-2-2-22-22-2-2000000000000200000000000000
χ2822-2-222222-22-2-2-2-222-2-2222-22-2-2-2000000000000200000000000000
χ29444441-2-21441-2-21-211-21-20000000000000202220000000-10000-1-1-1
χ30444441-2-21441-2-21-211-21-20000000000000-20-2-2-2000000010000111
χ31444441-2-21-4-41-2-21-21-12-12000000000000020-2-220000000-1000011-1
χ32444441-2-21-4-41-2-21-21-12-120000000000000-2022-2000000010000-1-11
χ3344444-211-244-211-21-2-21-2100000000002220200000000000-1-1-1-1000
χ3444444-211-244-211-21-2-21-210000000000-2-2-20-2000000000001111000
χ3544444-211-2-4-4-211-21-22-12-1000000000022-20-200000000000-1-111000
χ3644444-211-2-4-4-211-21-22-12-10000000000-2-22020000000000011-1-1000
χ3744-4-441-2-214-4-122-1-211-2-12000000000000020-22-20000000-100001-11
χ3844-4-441-2-214-4-122-1-211-2-120000000000000-202-22000000010000-11-1
χ3944-4-441-2-21-44-122-1-21-121-20000000000000202-2-20000000-10000-111
χ4044-4-441-2-21-44-122-1-21-121-20000000000000-20-2220000000100001-1-1
χ4144-4-44-211-24-42-1-121-2-212-100000000002-220-200000000000-11-11000
χ4244-4-44-211-24-42-1-121-2-212-10000000000-22-202000000000001-11-1000
χ4344-4-44-211-2-442-1-121-22-1-2100000000002-2-20200000000000-111-1000
χ4444-4-44-211-2-442-1-121-22-1-210000000000-2220-2000000000001-1-11000
χ454-400044-4-4000000000000000022−222ζ+2ζ7−2ζ−2ζ72ζ3+2ζ5−2ζ3−2ζ500000000000000000000000
χ464-400044-4-4000000000000000022−22−2ζ−2ζ72ζ+2ζ7−2ζ3−2ζ52ζ3+2ζ500000000000000000000000
χ474-400044-4-40000000000000000−22222ζ3+2ζ5−2ζ3−2ζ5−2ζ−2ζ72ζ+2ζ700000000000000000000000
χ484-400044-4-40000000000000000−2222−2ζ3−2ζ52ζ3+2ζ52ζ+2ζ7−2ζ−2ζ700000000000000000000000
χ49888-8-82-4-42002-44-24-20000000000000000000000000000000000000
χ50888-8-8-422-400-42-24-240000000000000000000000000000000000000
χ5188-88-82-4-4200-24-424-20000000000000000000000000000000000000
χ5288-88-8-422-4004-22-4-240000000000000000000000000000000000000
χ5316-160004-88-4000000000000000000000000000000000000000000000
χ5416-16000-84-48000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1).