Finite Group Databasebeta

← Group #11887073

Character table — Group #11887073

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order12224433446666661212121222441212121222224488882224446666121212124888888661212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-111-11-1-1-1-11111-1-11-1-1-1-1-1-111-1-1
χ311111111111111111111-1-1111111111111-1-1-1-1-1-11-11111-1-1-1-1111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-111111111111-1-1-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-11111-1-11-1-11111-1-111
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-1111-1-1111111-1-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-1111111-1-111-1-11111111-1-1-11-1-1-111-1-111-1-1-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-11-11-1-111111-1-1-1-1-111-1-1111-1-11
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-11-111-1-1-1-1-11111-111-1-111-111-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1111-1111-1-111-1-1-1-1-111-1-1-11-11
χ131111-1-111-11111111-1-1-1-11111-1-111-1-111111111-11-1-1-11-1-111-1-111-1-1-1-1-111-11-11
χ141111-1-111-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-111-11-11111-1-1-1-1-11111-1-1-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-1-11-11-1-1-1-11111-11111-1-11-1-11
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-1111111111-1111-111-1-111-1-1-1-1-1-1-1111-11-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-2000022-2-2-2-222-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-2-22222-2-2-2-200000000000000000020000000000
χ212-22-2002200-2-222-2-200002-22i−2i000000002-22i2i−2i−2i000000002-2002i−2i00000000000
χ222-22-2002200-2-222-2-200002-2−2i2i000000002-2−2i−2i2i2i000000002-200−2i2i00000000000
χ232-22-2002200-2-222-2-20000-222i−2i000000002-2−2i−2i2i2i00000000-22002i−2i00000000000
χ242-22-2002200-2-222-2-20000-22−2i2i000000002-22i2i−2i−2i00000000-2200−2i2i00000000000
χ252-2-222-22200-2-2-2-2222-22-2000000002-22-2002−22−20000000000000002−22−22−20000
χ262-2-222-22200-2-2-2-2222-22-2000000002-22-200−22−22000000000000000−22−22−220000
χ272-2-222-22200-2-2-2-2222-22-200000000-22-22002−22−20000000000000002−2−22−220000
χ282-2-222-22200-2-2-2-2222-22-200000000-22-2200−22−22000000000000000−222−22−20000
χ292-2-22-222200-2-2-2-222-22-22000000002-2-22002−22−2000000000000000−222−2−220000
χ302-2-22-222200-2-2-2-222-22-22000000002-2-2200−22−220000000000000002−2−222−20000
χ312-2-22-222200-2-2-2-222-22-2200000000-222-2002−22−2000000000000000−22−222−20000
χ322-2-22-222200-2-2-2-222-22-2200000000-222-200−22−220000000000000002−22−2−220000
χ334444441-2441-21-2-21-2-21100221-21-20000000000002022-1-10000-1-1000000000-1-1
χ344444441-2441-21-2-21-2-21100-2-21-21-2000000000000-20-2-21100001100000000011
χ354444441-2-4-41-21-2-21-2-2110022-12-1200000000000020-2-2-1-10000-1-100000000011
χ364444441-2-4-41-21-2-21-2-21100-2-2-12-12000000000000-202211000011000000000-1-1
χ37444444-2144-21-211-211-2-22200-21-21000000000022020000-1-1-1-1000000000-1-100
χ38444444-2144-21-211-211-2-2-2-200-21-210000000000-2-20-2000011110000000001100
χ39444444-21-4-4-21-211-211-2-222002-12-10000000000-2-2020000-1-1-1-10000000001100
χ40444444-21-4-4-21-211-211-2-2-2-2002-12-10000000000220-200001111000000000-1-100
χ414444-4-41-24-41-21-2-2122-1-100221-2-12000000000000-202-2110000-1-1000000000-11
χ424444-4-41-24-41-21-2-2122-1-100-2-21-2-1200000000000020-22-1-10000110000000001-1
χ434444-4-41-2-441-21-2-2122-1-10022-121-2000000000000-20-22110000-1-10000000001-1
χ444444-4-41-2-441-21-2-2122-1-100-2-2-121-2000000000000202-2-1-1000011000000000-11
χ454444-4-4-214-4-21-211-2-1-1222200-212-100000000002-20-20000-1-111000000000-1100
χ464444-4-4-214-4-21-211-2-1-122-2-200-212-10000000000-2202000011-1-10000000001-100
χ474444-4-4-21-44-21-211-2-1-12222002-1-210000000000-220-20000-1-1110000000001-100
χ484444-4-4-21-44-21-211-2-1-122-2-2002-1-2100000000002-202000011-1-1000000000-1100
χ4944-4-400440044-4-4-4-4000000000000000000−2i22i22i2−2i20000000000000000000000000
χ5044-4-400440044-4-4-4-40000000000000000002i2−2i2−2i22i20000000000000000000000000
χ514-44-4004400-4-444-4-40000000000000000-4400000000000000000000000000000
χ5288-8-8002-4002-4-244-20000000000000000000000000000−2i32i300000000000000000
χ5388-8-8002-4002-4-244-200000000000000000000000000002i3−2i300000000000000000
χ5488-8-800-4200-424-2-240000000000000000000000000000000023−230000000000000
χ5588-8-800-4200-424-2-2400000000000000000000000000000000−23230000000000000
χ568-88-8002-400-242-44-20000004i−4i00000000000000000000000000−2i2i00000000000
χ578-88-8002-400-242-44-2000000−4i4i000000000000000000000000002i−2i00000000000
χ588-88-800-42004-2-42-2400004-4000000000000000000000000-22000000000000000
χ598-88-800-42004-2-42-240000-440000000000000000000000002-2000000000000000
χ608-8-888-82-400-24-24-42-442-20000000000000000000000000000000000000000000
χ618-8-888-8-42004-24-22-42-2-440000000000000000000000000000000000000000000
χ628-8-88-882-400-24-24-424-4-220000000000000000000000000000000000000000000
χ638-8-88-88-42004-24-22-4-224-40000000000000000000000000000000000000000000

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