Finite Group Databasebeta

← Group #11887838

Character table — Group #11887838

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order1222222334666666666644446612124444448888244444121212121212121248888886121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-1-111-11-1-1-1-1-111111-1-1-1-1-1-1-111-1
χ311111111111111111111-1-1111111111111-1-1-1-11-1-11-111111-1-1-1-11-1-1-1-1-1-11-1-11
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ5111111-111-111111111111111-1-1-1-1-1-1-1-1111111-1-11-1-11111111111-1-111-1-1-1-1-1-1
χ6111111-111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-1-11111111-1-1111-1-11
χ7111111-111-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1111111-1-1-1-1111-1-111-111-1
χ8111111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-11-1-111-1-11111
χ91111-1-1111-1111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-11111-1-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-11-11-1-11111-1-1-11111-1-1-11-11
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-111-1-1-1-111-11111-1-11-11-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-111-1-111-1-1-1-1-111-1-111
χ131111-1-1-1111111111-1-1-1-11111-1-11111-1-1111111-1-1-111-111-1-111-1-1-111-1-1-1-1-1-111
χ141111-1-1-1111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-1-1-111-1-11111-1-1-1-1-111111-11-1
χ151111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1111-1-111-1-1-1-111-1-1-11111-11-11
χ161111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-11-1-111-1-111-111-1-1-1-111-1-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ18222222-222-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-2000022-2-222-2-2-2-200000000000000000020000000000
χ202222-2-2-2222222222-2-2-2-20000-2-222-2-222-2-200000000000000000020000000000
χ212-22-22-20220-2-2-22-222-22-2000000002i−2i2i−2i00−i2−i2i2i20000000000000002−2−i2i22−20000
χ222-22-22-20220-2-2-22-222-22-2000000002i−2i2i−2i00i2i2−i2−i2000000000000000−22i2−i2−220000
χ232-22-22-20220-2-2-22-222-22-200000000−2i2i−2i2i00−i2−i2i2i2000000000000000−22−i2i2−220000
χ242-22-22-20220-2-2-22-222-22-200000000−2i2i−2i2i00i2i2−i2−i20000000000000002−2i2−i22−20000
χ252-22-2-220220-2-2-22-22-22-22000000002i−2i−2i2i00−i2−i2i2i20000000000000002−2i2−i2−220000
χ262-22-2-220220-2-2-22-22-22-22000000002i−2i−2i2i00i2i2−i2−i2000000000000000−22−i2i22−20000
χ272-22-2-220220-2-2-22-22-22-2200000000−2i2i2i−2i00−i2−i2i2i2000000000000000−22i2−i22−20000
χ282-22-2-220220-2-2-22-22-22-2200000000−2i2i2i−2i00i2i2−i2−i20000000000000002−2−i2i2−220000
χ292-2-22000220-22-2-22-200002i−2i2-2000000002-22i−2i2i−2i0000002-2002i−2i0000000000000
χ302-2-22000220-22-2-22-200002i−2i-22000000002-2−2i2i−2i2i000000-22002i−2i0000000000000
χ312-2-22000220-22-2-22-20000−2i2i2-2000000002-2−2i2i−2i2i0000002-200−2i2i0000000000000
χ322-2-22000220-22-2-22-20000−2i2i-22000000002-22i−2i2i−2i000000-2200−2i2i0000000000000
χ3344444441-24-211-2-2111-2-222001-2-2100000000000220200000-1-1-1-100000000-1-10
χ3444444441-24-211-2-2111-2-2-2-2001-2-2100000000000-2-20-200000111100000000110
χ354444444-2141-2-211-2-2-2110022-211-20000000000200202-1-1-1-100000000000-100-1
χ364444444-2141-2-211-2-2-21100-2-2-211-20000000000-200-20-21111000000000001001
χ37444444-41-2-4-211-2-2111-2-22200-122-100000000000-220-200000-1-1-1-100000000110
χ38444444-41-2-4-211-2-2111-2-2-2-200-122-1000000000002-20200000111100000000-1-10
χ39444444-4-21-41-2-211-2-2-21100222-1-120000000000-200-202-1-1-1-1000000000001001
χ40444444-4-21-41-2-211-2-2-21100-2-22-1-12000000000020020-2111100000000000-100-1
χ414444-4-441-2-4-211-2-21-1-12222001-22-1000000000002-20-200000-1-11100000000-110
χ424444-4-441-2-4-211-2-21-1-122-2-2001-22-100000000000-22020000011-1-1000000001-10
χ434444-4-44-21-41-2-211-222-1-10022-21-120000000000200-20-2-1-11100000000000-1001
χ444444-4-44-21-41-2-211-222-1-100-2-2-21-120000000000-20020211-1-100000000000100-1
χ454444-4-4-41-24-211-2-21-1-1222200-12-2100000000000-2-20200000-1-111000000001-10
χ464444-4-4-41-24-211-2-21-1-122-2-200-12-2100000000000220-20000011-1-100000000-110
χ474444-4-4-4-2141-2-211-222-1-100222-11-20000000000-20020-2-1-11100000000000100-1
χ484444-4-4-4-2141-2-211-222-1-100-2-22-11-20000000000200-20211-1-100000000000-1001
χ4944-4-40004404-44-4-4-400000000000000000022−22−22220000000000000000000000000
χ5044-4-40004404-44-4-4-4000000000000000000−222222−220000000000000000000000000
χ514-4-44000440-44-4-44-40000000000000000-4400000000000000000000000000000
χ5288-8-80002-40-4-2244-2000000000000000000000000000000000023−2300000000000
χ5388-8-80002-40-4-2244-20000000000000000000000000000000000−232300000000000
χ5488-8-8000-42024-4-2-2400000000000000000000000000000023−23000000000000000
χ5588-8-8000-42024-4-2-24000000000000000000000000000000−2323000000000000000
χ568-88-88-802-404-2-2-4422-2-440000000000000000000000000000000000000000000
χ578-88-88-80-420-2442-2-4-442-20000000000000000000000000000000000000000000
χ588-88-8-8802-404-2-2-442-224-40000000000000000000000000000000000000000000
χ598-88-8-880-420-2442-2-44-4-220000000000000000000000000000000000000000000
χ608-8-880002-4042-24-4-200004i−4i00000000000000000000000000−2i2i0000000000000
χ618-8-880002-4042-24-4-20000−4i4i000000000000000000000000002i−2i0000000000000
χ628-8-88000-420-2-44-2240000004-400000000000000000000-2200000000000000000
χ638-8-88000-420-2-44-224000000-44000000000000000000002-200000000000000000

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