Finite Group Databasebeta

← Group #72220237

Character table — Group #72220237

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112224488889912121212161616161616181818181824242424242424242424363636363648484848484872727272727272727272144144144144
order1224422366622222266661212244442222446666224446666121244888888884488
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111111111-1-1-1-1
χ41111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111-1-11111111111-1-1-1-11111111-1-1-1-1111111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111-1-11111111111-1-1-1-11111111-1-1-1-1111111-1-1111-1-1-1-111-1-1-1-1-1-11111-1-111
χ711111-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111
χ811111-1-1111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1
χ911-11-11-11-1-111111-1-111-1-11-1-1-111111-1-11-111-1-11-1-1-1111-1-11-11-111-1-111-1-11-11-1
χ1011-11-11-11-1-111111-1-111-1-11-1-1-111111-1-11-111-1-11-1-1-1111-1-11-11-1-1-111-1-111-11-11
χ1111-11-11-11-1-1111-1-11111-1-11-1-1-1111-1-111-11-1-1111-1-1-11-1-111-111-111-1-111-1-1-11-11
χ1211-11-11-11-1-1111-1-11111-1-11-1-1-1111-1-111-11-1-1111-1-1-11-1-111-111-1-1-111-1-1111-11-1
χ1311-11-1-111-1-111111-1-1-1-1111-1-1-1111-1-1111-111-1-1-11-1-11-1-1111-1-1111-1-1-1-1111-1-11
χ1411-11-1-111-1-111111-1-1-1-1111-1-1-1111-1-1111-111-1-1-11-1-11-1-1111-1-11-1-11111-1-1-111-1
χ1511-11-1-111-1-1111-1-111-1-1111-1-1-111111-1-1-11-1-111-11-1-1111-1-1-11-1111-1-1-1-111-111-1
χ1611-11-1-111-1-1111-1-111-1-1111-1-1-111111-1-1-11-1-111-11-1-1111-1-1-11-11-1-11111-1-11-1-11
χ172222222222222000022222222-2-22000000000022-2-2-2000000-2-2000000000000
χ1822222222222-2-20000222222-2-200-20000000000-2-200000000000i2−i2i2−i2i2−i2i2−i20000
χ1922222222222-2-20000222222-2-200-20000000000-2-200000000000−i2i2−i2i2−i2i2−i2i20000
χ2022222-2-22222220000-2-2-2-22222-2-220000000000-2-2-2-2-200000022000000000000
χ2122222-2-22222-2-20000-2-2-2-222-2-200-200000000002200000000000i2−i2i2−i2−i2i2−i2i20000
χ2222222-2-22222-2-20000-2-2-2-222-2-200-200000000002200000000000−i2i2−i2i2i2−i2i2−i20000
χ23222-2-20022222200000000-2-22-2-2-2-22-22-2000000002-222-22-20000000000000000
χ24222-2-20022222200000000-2-22-2-2-2-2-22-22000000002-22-22-220000000000000000
χ25222-2-20022222222220000-2-22-222-20000-2-2222200-22-20000-2-200000000000000
χ26222-2-200222222-2-2-2-20000-2-22-222-2000022-2-2-2-200-22-200002200000000000000
χ2722-22-22-22-2-2222000022-2-22-2-2-2-2-2200000000002-222-2000000-22000000000000
χ2822-22-22-22-2-22-2-2000022-2-22-22200-20000000000-2200000000000i2−i2−i2i2i2−i2−i2i20000
χ2922-22-22-22-2-22-2-2000022-2-22-22200-20000000000-2200000000000−i2i2i2−i2−i2i2i2−i20000
χ3022-22-2-222-2-22220000-2-2222-2-2-2-2-220000000000-2222-20000002-2000000000000
χ3122-22-2-222-2-22-2-20000-2-2222-22200-200000000002-200000000000i2−i2−i2i2−i2i2i2−i20000
χ3222-22-2-222-2-22-2-20000-2-2222-22200-200000000002-200000000000−i2i2i2−i2i2−i2−i2i20000
χ3322-2-22002-2-222200000000-22-22-2-2-22-2-2200000000-2222-2-220000000000000000
χ3422-2-22002-2-222200000000-22-22-2-2-2-222-200000000-222-222-20000000000000000
χ3522-2-22002-2-222222-2-20000-22-2222-20000-2222-2-2002-2-20000-2200000000000000
χ3622-2-22002-2-2222-2-2220000-22-2222-200002-2-2-222002-2-200002-200000000000000
χ37444-4-4004444-4-400000000-4-4-4400400000000000000000000000000000000000
χ3844-4-44004-4-44-4-400000000-444-400400000000000000000000000000000000000
χ394-400000400-4-44004-4000000004-40000000004-40000000000000000000000000
χ404-400000400-4-4400-44000000004-4000000000-440000000000000000000000000
χ414-400000400-4-444-40000000000-4400000004-4000000000000000000000000000
χ424-400000400-4-44-440000000000-440000000-44000000000000000000000000000
χ438888888-1-1-1-1002222-1-1-1-1-1-100000222222-1-1-1-100000-1-1-1-1-1-100000000000000
χ448888888-1-1-1-100-2-2-2-2-1-1-1-1-1-100000-2-2-2-2-2-211110000011111100000000000000
χ4588888-8-8-1-1-1-10022221111-1-100000-2-2-2-222-1-1-1-1000001111-1-100000000000000
χ4688888-8-8-1-1-1-100-2-2-2-21111-1-1000002222-2-2111100000-1-1-1-11100000000000000
χ47888-8-800-1-1-1-10022223-33-311000002-22-2-2-2-1-1-1-100000-11-111100000000000000
χ48888-8-800-1-1-1-1002222-33-331100000-22-22-2-2-1-1-1-1000001-11-11100000000000000
χ49888-8-800-1-1-1-100-2-2-2-23-33-31100000-22-22221111000001-11-1-1-100000000000000
χ50888-8-800-1-1-1-100-2-2-2-2-33-3311000002-22-222111100000-11-11-1-100000000000000
χ5188-88-88-8-111-10022-2-2-1-111-110000022-2-22-2-1-11100000-1-111-1100000000000000
χ5288-88-88-8-111-100-2-222-1-111-1100000-2-222-2211-1-10000011-1-11-100000000000000
χ5388-88-8-88-111-10022-2-211-1-1-1100000-2-2222-2-1-1110000011-1-1-1100000000000000
χ5488-88-8-88-111-100-2-22211-1-1-110000022-2-2-2211-1-100000-1-1111-100000000000000
χ5588-8-8800-111-10022-2-23-3-331-1000002-2-22-22-1-11100000-111-11-100000000000000
χ5688-8-8800-111-10022-2-2-333-31-100000-222-2-22-1-111000001-1-111-100000000000000
χ5788-8-8800-111-100-2-2223-3-331-100000-222-22-211-1-1000001-1-11-1100000000000000
χ5888-8-8800-111-100-2-222-333-31-1000002-2-222-211-1-100000-111-1-1100000000000000
χ598-800000800-88-800000000000000000000000000000000000000000000000000
χ6016-1600000-26-62004-44-400000000000000000-22-220000000000000000000000000
χ6116-1600000-26-6200-44-44000000000000000002-22-20000000000000000000000000
χ6216-1600000-2-662004-4-4400000000000000000-222-20000000000000000000000000
χ6316-1600000-2-66200-444-4000000000000000002-2-220000000000000000000000000

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