Finite Group Databasebeta

← Group #11722517

Character table — Group #11722517

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size112222244466661212121212121212181818181818181818181818181818181818242424363636363636363636
order123444612121233663612121212121222222444444466661212121212666121212121212
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ31111111111111111111111-1-1-11-1-1111-1-1-111-1-1-1-1111-1-1-1111-1-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-1111-1-111-1-1111-1-1-1-1-1-1111
χ51111-1-111-1-111111111-1-1-1-111-11-1-11-1-111-111-1-1-1-11-1-111-11-1-111-1
χ61111-1-111-1-111111111-1-1-1-111-1-11-1-111-1-11-1-111-1-11-1-111-1-111-1-11
χ71111-1-111-1-111111111-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-111-1-1-1-11
χ81111-1-111-1-111111111-1-1-1-1-1-11-1-11-11111-1-1-1-1-1111-1-1-1-11-11111-1
χ9111-11-11-11-1111111-1-111-1-11-111-1-1-11-11-1111-1-1-1-1-11-11-11-11-11-11
χ10111-11-11-11-1111111-1-111-1-11-11-11-11-11-11-1-1-111-1-1-11-11-111-11-11-1
χ11111-11-11-11-1111111-1-111-1-1-11-1111-11-1-11-1111111-11-1-11-1-11-1-11-1
χ12111-11-11-11-1111111-1-111-1-1-11-1-1-111-111-11-1-1-1-111-11-1-11-11-111-11
χ13111-1-111-1-11111111-1-1-1-1111-1-1111-1-111-1-1111111-1-111-1-1-1-111-1-1
χ14111-1-111-1-11111111-1-1-1-1111-1-1-1-1111-1-111-1-1-1-111-1-111-1-111-1-111
χ15111-1-111-1-11111111-1-1-1-111-1111-1-1-1-11-11111-1-1-1-1-1-11-111-1-11-111
χ16111-1-111-1-11111111-1-1-1-111-111-11-111-11-1-1-1-111-1-1-1-11-11111-11-1-1
χ1722222222222-12-1-1-12-12-12-100002000022200-1-100-1-1-1000000-1-1-1
χ1822222222222-12-1-1-12-12-12-10000-20000-2-2-2001100-1-1-1000000111
χ192222222222-12-12-1-1-12-12-12000200222000-1-10000-1-1-1000-1-1-1000
χ202222222222-12-12-1-1-12-12-12000-200-2-2-2000110000-1-1-1000111000
χ212222-2-222-2-22-12-1-1-12-1-21-21000020000-2-2200-1-100-11100000011-1
χ222222-2-222-2-22-12-1-1-12-1-21-210000-2000022-2001100-111000000-1-11
χ232222-2-222-2-2-12-12-1-1-121-21-20002002-2-2000-1-10000-111000-111000
χ242222-2-222-2-2-12-12-1-1-121-21-2000-200-222000110000-1110001-1-1000
χ25222-22-22-22-22-12-1-1-1-212-1-21000020000-22-200-1-1001-110000001-11
χ26222-22-22-22-22-12-1-1-1-212-1-210000-200002-220011001-11000000-11-1
χ27222-22-22-22-2-12-12-1-11-2-121-2000200-22-2000-1-100001-110001-11000
χ28222-22-22-22-2-12-12-1-11-2-121-2000-2002-220001100001-11000-11-1000
χ29222-2-222-2-222-12-1-1-1-21-212-10000200002-2-200-1-10011-1000000-111
χ30222-2-222-2-222-12-1-1-1-21-212-10000-20000-22200110011-10000001-1-1
χ31222-2-222-2-22-12-12-1-11-21-2-12000200-2-22000-1-1000011-100011-1000
χ32222-2-222-2-22-12-12-1-11-21-2-12000-20022-200011000011-1000-1-11000
χ334444444444-2-2-2-211-2-2-2-2-2-2000000000000000000111000000000
χ344444-4-444-4-4-2-2-2-211-2-222220000000000000000001-1-1000000000
χ35444-44-44-44-4-2-2-2-21122-2-222000000000000000000-11-1000000000
χ36444-4-444-4-44-2-2-2-2112222-2-2000000000000000000-1-11000000000
χ374-44000-400044-4-44-4000000000000000000000000000000000000
χ384-44000-40004-2-42-2200000000000000000000−2i32i300000000000000
χ394-44000-40004-2-42-22000000000000000000002i3−2i300000000000000
χ404-44000-4000-242-4-22000000000000000000−2i32i30000000000000000
χ414-44000-4000-242-4-220000000000000000002i3−2i30000000000000000
χ4266-3666-3-3-3-30000000000002220020000000000-1-1000-1-1-1000000
χ4366-3666-3-3-3-3000000000000-2-2-200-2000000000011000111000000
χ4466-36-6-6-3-33300000000000022-200-2000000000011000-1-11000000
χ4566-36-6-6-3-333000000000000-2-220020000000000-1-100011-1000000
χ4666-3-66-6-33-330000000000002-2200-2000000000011000-11-1000000
χ4766-3-66-6-33-33000000000000-22-20020000000000-1-10001-11000000
χ4866-3-6-66-333-30000000000002-2-20020000000000-1-1000-111000000
χ4966-3-6-66-333-3000000000000-22200-20000000000110001-1-1000000
χ508-88000-8000-4-4442-2000000000000000000000000000000000000
χ5112-12-60006000000000000000000000000000000023−23000000000000
χ5212-12-600060000000000000000000000000000000−2323000000000000

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