Finite Group Databasebeta

← Group #11722520

Character table — Group #11722520

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55
size112222244466669999991212121212121212181818181818181818181818181818242424363636363636363636
order12344461212123366224444361212121212122222224446612121212121212666666121212
χ11111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1111
χ311111111111111-1-111-1-111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ411111111111111-1-1-1-11111111111-1-1-1111-1-1-1-1-1-1-111111-1-1-1111-1-1-1
χ51111-1-111-1-111111111111111-1-1-1-11-1-11-1-11-1-11111111-1-11-1-11-1-11-1-1
χ61111-1-111-1-1111111-1-1-1-11111-1-1-1-1-111-1111-1-111-1-1-1-11-1-1-111-1111-1-1
χ71111-1-111-1-11111-1-111-1-11111-1-1-1-11-1-1-111-111-1-111-1-11-1-11-1-1-111-111
χ81111-1-111-1-11111-1-1-1-1111111-1-1-1-1-1111-1-1-111-1-1-1-1111-1-1-1111-1-1-111
χ9111-11-11-11-1111111111111-1-111-1-1-11-1-11-1-11-1111111-11-1-11-1-11-1-11-1
χ10111-11-11-11-1111111-1-1-1-111-1-111-1-11-111-11-11-111-1-1-1-1-11-11-111-11-11-1
χ11111-11-11-11-11111-1-111-1-111-1-111-1-1-11-11-111-11-1-111-1-1-11-1-11-11-111-11
χ12111-11-11-11-11111-1-1-1-11111-1-111-1-11-11-11-11-11-1-1-1-111-11-11-11-11-11-11
χ13111-1-111-1-11111111111111-1-1-1-111-1-11-1-11-1-11111111-1-11-1-11-1-11-1-11
χ14111-1-111-1-11111111-1-1-1-111-1-1-1-11111-111-1-1-1111-1-1-1-1-1-1111-111-1-1-11
χ15111-1-111-1-111111-1-111-1-111-1-1-1-111-1-1111-111-1-1-111-1-1-1-11-1-1111-111-1
χ16111-1-111-1-111111-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-1-111-1-1111-1-1-1111-1
χ1722222222222-12-1000022-1-12-12-12-10002220000000-1-1-1-1-1000-1-1-1000
χ1822222222222-12-10000-2-2-1-12-12-12-1000-2-2-2000000011-1-1-1000111000
χ192222222222-12-12002200-1-1-12-12-1222200000000-1-100-1-1-1-1-1-1000000
χ202222222222-12-1200-2-200-1-1-12-12-12-2-2-2000000001100-1-1-1111000000
χ212222-2-222-2-22-12-1000022-1-12-1-21-210002-2-20000000-1-1-111000-111000
χ222222-2-222-2-22-12-10000-2-2-1-12-1-21-21000-222000000011-1110001-1-1000
χ232222-2-222-2-2-12-12002200-1-1-121-21-22-2-200000000-1-100-111-111000000
χ242222-2-222-2-2-12-1200-2-200-1-1-121-21-2-222000000001100-1111-1-1000000
χ25222-22-22-22-22-12-1000022-1-1-212-1-21000-22-20000000-1-11-110001-11000
χ26222-22-22-22-22-12-10000-2-2-1-1-212-1-210002-220000000111-11000-11-1000
χ27222-22-22-22-2-12-12002200-1-11-2-121-2-22-200000000-1-1001-111-11000000
χ28222-22-22-22-2-12-1200-2-200-1-11-2-121-22-220000000011001-11-11-1000000
χ29222-2-222-2-222-12-1000022-1-1-21-212-1000-2-220000000-1-111-100011-1000
χ30222-2-222-2-222-12-10000-2-2-1-1-21-212-100022-200000001111-1000-1-11000
χ31222-2-222-2-22-12-12002200-1-11-21-2-12-2-2200000000-1-10011-111-1000000
χ32222-2-222-2-22-12-1200-2-200-1-11-21-2-1222-200000000110011-1-1-11000000
χ332-22000-200022-2-22-22i−2i2i−2i2-20000000000000002-22i−2i2i−2i000000000000
χ342-22000-200022-2-22-2−2i2i−2i2i2-20000000000000002-2−2i2i−2i2i000000000000
χ352-22000-200022-2-2-222i−2i−2i2i2-2000000000000000-222i−2i−2i2i000000000000
χ362-22000-200022-2-2-22−2i2i2i−2i2-2000000000000000-22−2i2i2i−2i000000000000
χ374444444444-2-2-2-200000011-2-2-2-2-2-2000000000000000111000000000
χ384444-4-444-4-4-2-2-2-200000011-2-222220000000000000001-1-1000000000
χ39444-44-44-44-4-2-2-2-20000001122-2-222000000000000000-11-1000000000
χ40444-4-444-4-44-2-2-2-2000000112222-2-2000000000000000-1-11000000000
χ414-44000-40004-2-4200004i−4i-220000000000000000000−2i2i000000000000
χ424-44000-40004-2-420000−4i4i-2200000000000000000002i−2i000000000000
χ434-44000-4000-242-4004i−4i00-2200000000000000000−2i2i00000000000000
χ444-44000-4000-242-400−4i4i00-22000000000000000002i−2i00000000000000
χ4566-3666-3-3-3-3000022000000000000000000222-1-10000000000000-1-1-1
χ4666-3666-3-3-3-30000-2-2000000000000000000-2-2-2110000000000000111
χ4766-36-6-6-3-3330000220000000000000000002-2-2-1-10000000000000-111
χ4866-36-6-6-3-3330000-2-2000000000000000000-2221100000000000001-1-1
χ4966-3-66-6-33-33000022000000000000000000-22-2-1-100000000000001-11
χ5066-3-66-6-33-330000-2-20000000000000000002-22110000000000000-11-1
χ5166-3-6-66-333-3000022000000000000000000-2-22-1-1000000000000011-1
χ5266-3-6-66-333-30000-2-200000000000000000022-2110000000000000-1-11
χ538-88000-8000-4-4440000002-2000000000000000000000000000000000
χ5412-12-6000600000004-4000000000000000000000-220000000000000000
χ5512-12-600060000000-440000000000000000000002-20000000000000000

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