Finite Group Databasebeta

← Group #11800167

Character table — Group #11800167

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112244444444448888888888881818181836363636363636363636484848484848484848484848
order122244334466666612121212121212121212121288888816161616161616162244666612121212
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-11-111-1-111-1-1
χ611111111-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-11-11-1-111-1-111
χ711111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1111-1-1-1-111
χ811111111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-111-1-1-11111-1-1
χ92222222222222222222222222222-2-2-2-2-2-200000000000000000000
χ1022222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000000000000000
χ112222-2-2222-2222222-2-2-2-222-2-222-2-200000022−2−222−2−2000000000000
χ122222-2-2222-2222222-2-2-2-222-2-222-2-2000000−2−222−2−222000000000000
χ132222-2-222-22222222-2-2-2-2-2-222-2-22200000022−2−2−2−222000000000000
χ142222-2-222-22222222-2-2-2-2-2-222-2-222000000−2−22222−2−2000000000000
χ1522-2-22-2220022-2-2-2-222-2-20000000000002-2−i2i2−i2i2−i2i2−i2i2000000000000
χ1622-2-22-2220022-2-2-2-222-2-20000000000002-2i2−i2i2−i2i2−i2i2−i2000000000000
χ1722-2-22-2220022-2-2-2-222-2-2000000000000-22−i2i2−i2i2i2−i2i2−i2000000000000
χ1822-2-22-2220022-2-2-2-222-2-2000000000000-22i2−i2i2−i2−i2i2−i2i2000000000000
χ1922-2-2-22220022-2-2-2-2-2-2220000000022-2-20000002i−2i−2i2i000000000000
χ2022-2-2-22220022-2-2-2-2-2-2220000000022-2-2000000−2i2i2i−2i000000000000
χ2122-2-2-22220022-2-2-2-2-2-22200000000-2-222002i−2i−2i2i0000000000000000
χ2222-2-2-22220022-2-2-2-2-2-22200000000-2-22200−2i2i2i−2i0000000000000000
χ234444441-2441-2-2-2111-21-2-2-2-2-211110000000000000000220000-1-1-1-1
χ244444441-2441-2-2-2111-21-2-2-2-2-211110000000000000000-2-200001111
χ254444441-2-4-41-2-2-2111-21-22222-1-1-1-100000000000000002-20000-1-111
χ264444441-2-4-41-2-2-2111-21-22222-1-1-1-10000000000000000-22000011-1-1
χ27444444-2144-2111-2-2-21-211111-2-2-2-2000000000000002200-1-1-1-10000
χ28444444-2144-2111-2-2-21-211111-2-2-2-200000000000000-2-20011110000
χ29444444-21-4-4-2111-2-2-21-21-1-1-1-12222000000000000002-200-1-1110000
χ30444444-21-4-4-2111-2-2-21-21-1-1-1-1222200000000000000-220011-1-10000
χ314444-4-41-24-41-2-2-211-12-12-2-22211-1-10000000000000000000000−i3i3−i3i3
χ324444-4-41-24-41-2-2-211-12-12-2-22211-1-10000000000000000000000i3−i3i3−i3
χ334444-4-41-2-441-2-2-211-12-1222-2-2-1-1110000000000000000000000−i3i3i3−i3
χ344444-4-41-2-441-2-2-211-12-1222-2-2-1-1110000000000000000000000i3−i3−i3i3
χ354444-4-4-214-4-2111-2-22-12-111-1-1-2-222000000000000000000−i3i3−i3i30000
χ364444-4-4-214-4-2111-2-22-12-111-1-1-2-222000000000000000000i3−i3i3−i30000
χ374444-4-4-21-44-2111-2-22-12-1-1-11122-2-2000000000000000000−i3i3i3−i30000
χ384444-4-4-21-44-2111-2-22-12-1-1-11122-2-2000000000000000000i3−i3−i3i30000
χ394-44-4004400-4-44-44-400000000000022−2222−220000000000000000000000
χ404-44-4004400-4-44-44-4000000000000−2222−22220000000000000000000000
χ414-4-44004400-4-4-44-4400000000000022−22−22220000000000000000000000
χ424-4-44004400-4-4-44-44000000000000−222222−220000000000000000000000
χ4388-8-88-82-4002-444-2-22-4-240000000000000000000000000000000000
χ4488-8-88-8-4200-42-2-244-424-20000000000000000000000000000000000
χ4588-8-8-882-4002-444-2-2-242-40000000000000000000000000000000000
χ4688-8-8-88-4200-42-2-2444-2-420000000000000000000000000000000000
χ478-88-8002-400-24-442-200000000006i−6i00000000000000000000000000
χ488-88-8002-400-24-442-20000000000−6i6i00000000000000000000000000
χ498-88-800-42004-22-2-4400006-600000000000000000000000000000000
χ508-88-800-42004-22-2-440000-6600000000000000000000000000000000
χ518-8-88002-400-244-4-22000000006i−6i0000000000000000000000000000
χ528-8-88002-400-244-4-2200000000−6i6i0000000000000000000000000000
χ538-8-8800-42004-2-224-40000006-6000000000000000000000000000000
χ548-8-8800-42004-2-224-4000000-66000000000000000000000000000000

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