Finite Group Databasebeta

← Group #11792026

Character table — Group #11792026

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444488888999912121212121212121616161618182424242424242424242424243636363648484848727272
order122244336666664121212122222224488881212121244444466121224242424888812121212444
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1
χ311111111111111111111111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-11-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111-11111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1
χ611111111111111-1111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-111
χ711111111111111-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-111
χ811111111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1
χ92222222222222222222-2-2-2-2000000002222-2-200000000000000000000-200
χ1022222222222222-22222-2-2-2-200000000-2-2-2-2-2-200000000000000000000200
χ112222-2-2222222220-2-2-2-2222222-2-200000000-2-2000022-2-2000000000000000
χ122222-2-2222222220-2-2-2-22222-2-22200000000-2-20000-2-222000000000000000
χ132222-2-2222222220-2-2-2-2-2-2-2-2000000000000222-200000000000000002-2000
χ142222-2-2222222220-2-2-2-2-2-2-2-200000000000022-220000000000000000-22000
χ1522-2-2002222-2-2-2-20000022-2-22-20022−2−200000000002-20022−2−222−2−20000000
χ1622-2-2002222-2-2-2-20000022-2-22-200−2−22200000000002-200−2−222−2−2220000000
χ1722-2-2002222-2-2-2-20000022-2-2-220022−2−20000000000-220022−2−2−2−2220000000
χ1822-2-2002222-2-2-2-20000022-2-2-2200−2−2220000000000-2200−2−22222−2−20000000
χ192-22-20022-2-222-2-2000002-2-22002i−2ii2−i2i2−i20000000000002i−2ii2−i2i2−i22−22−20000000
χ202-22-20022-2-222-2-2000002-2-22002i−2i−i2i2−i2i20000000000002i−2i−i2i2−i2i2−22−220000000
χ212-22-20022-2-222-2-2000002-2-2200−2i2ii2−i2i2−i2000000000000−2i2ii2−i2i2−i2−22−220000000
χ222-22-20022-2-222-2-2000002-2-2200−2i2i−i2i2−i2i2000000000000−2i2i−i2i2−i2i22−22−20000000
χ232-2-222-222-2-2-2-222022-2-22-22-200002i−2i−2i2i00002-2000000002i−2i−2i2i00000000000
χ242-2-222-222-2-2-2-222022-2-22-22-20000−2i2i2i−2i00002-200000000−2i2i2i−2i00000000000
χ252-2-222-222-2-2-2-222022-2-2-22-22000000000000-22002-20000000000002-200000
χ262-2-222-222-2-2-2-222022-2-2-22-22000000000000-2200-22000000000000-2200000
χ272-2-22-2222-2-2-2-2220-2-2222-22-2000000000000-220000000000002-2-220000000
χ282-2-22-2222-2-2-2-2220-2-2222-22-2000000000000-22000000000000-222-20000000
χ292-2-22-2222-2-2-2-2220-2-222-22-220000000000002-20000000000000000000002-2
χ302-2-22-2222-2-2-2-2220-2-222-22-220000000000002-2000000000000000000000-22
χ314444441-21-21-21-241-2-2100000000222211-2-20000220000-1-1-1-10000-1-100000
χ324444441-21-21-21-241-2-2100000000-2-2-2-211-2-20000-2-20000111100001100000
χ334444441-21-21-21-2-41-2-21000000002222-1-1220000-2-20000-1-1-1-100001100000
χ344444441-21-21-21-2-41-2-2100000000-2-2-2-2-1-122000022000011110000-1-100000
χ35444444-21-21-21-214-211-2000022220000-2-211002200-1-1-1-10000000000-1-1000
χ36444444-21-21-21-214-211-20000-2-2-2-20000-2-21100-2-2001111000000000011000
χ37444444-21-21-21-21-4-211-200002222000022-1-100-2-200-1-1-1-1000000000011000
χ38444444-21-21-21-21-4-211-20000-2-2-2-2000022-1-100220011110000000000-1-1000
χ394444-4-4-21-21-21-2102-1-12000022-2-20000003-3002-200-1-1110000000000-11000
χ404444-4-4-21-21-21-2102-1-12000022-2-2000000-3300-2200-1-11100000000001-1000
χ414444-4-4-21-21-21-2102-1-120000-2-2220000003-300-220011-1-100000000001-1000
χ424444-4-4-21-21-21-2102-1-120000-2-222000000-33002-20011-1-10000000000-11000
χ4344-4-4004444-4-4-4-400000-4-4440000000000000000000000000000000000000
χ444-44-40044-4-444-4-400000-444-40000000000000000000000000000000000000
χ454-4-444-41-2-12-121-201-22-1000000002i−2i−2i2i3i−3i0000002-20000−iii−i0000-1100000
χ464-4-444-41-2-12-121-201-22-1000000002i−2i−2i2i−3i3i000000-220000−iii−i00001-100000
χ474-4-444-41-2-12-121-201-22-100000000−2i2i2i−2i3i−3i000000-220000i−i−ii00001-100000
χ484-4-444-41-2-12-121-201-22-100000000−2i2i2i−2i−3i3i0000002-20000i−i−ii0000-1100000
χ498888-8-82-42-42-42-40-244-200000000000000000000000000000000000000000
χ5088-8-8002-42-4-24-2400000000000002222−22−2200000000000000−2−22200000000000
χ5188-8-8002-42-4-24-240000000000000−22−2222220000000000000022−2−200000000000
χ5288-8-800-42-424-24-20000000004-40000000000000000-2200000000000000000
χ5388-8-800-42-424-24-2000000000-4400000000000000002-200000000000000000
χ548-88-8002-4-242-4-2400000000000002i2−2i22i2−2i200000000000000−i2i2−i2i200000000000
χ558-88-8002-4-242-4-240000000000000−2i22i2−2i22i200000000000000i2−i2i2−i200000000000
χ568-88-800-424-2-424-2000000000004i−4i0000000000000000−2i2i000000000000000
χ578-88-800-424-2-424-200000000000−4i4i00000000000000002i−2i000000000000000
χ588-8-888-8-424-24-2-420-42-2400000000000000000000000000000000000000000
χ598-8-88-882-4-24-242-40-24-4200000000000000000000000000000000000000000
χ608-8-88-88-424-24-2-4204-22-400000000000000000000000000000000000000000

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