Finite Group Databasebeta

← Group #11923011

Character table — Group #11923011

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size112222233444446666688888888121212121216161616161616161618181818242432323232323236363636363672727272
order12346882224122424466883336666122412242412121224242424242444446126661212122488882444
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111-1-111111111111-1111-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111-1-111111111111-1111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-11-1-1111-1-11111111-11-11-1-1111-1-1-1-1-1-111111-1111-1-1-111-1-1-1-1-111-1
χ611111-1-1111-11-1-1111-1-11111111-11-11-1-1111-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-111111-1-11
χ711111-1-111-111-1-1111-1-1111-11111-111-1-1111-1-1-1-1-1-11111-11-1-1-111111-1-1-1-11-1-11
χ811111-1-111-111-1-1111-1-1111-11111-111-1-1111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-11111-111-1
χ92222222222222222222-1-1-12-1-1-1222222-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-10000000000
χ10222222222-2-222222222-1-1-1-2-1-1-1-2-2-2222-1-1-1-1-1-1-1-1-10000-2-21111110000000000
χ1122222-2-2222-22-2-2222-2-2-1-1-12-1-1-1-22-22-2-2-1-1-111111100002-2-1-1-11110000000000
χ1222222-2-222-222-2-2222-2-2-1-1-1-2-1-1-12-222-2-2-1-1-11111110000-22111-1-1-10000000000
χ13222-22002200-200-222002220222000-200-2-2-2000000222200000000-2-200000000
χ14222-22002200-200-222002220222000-200-2-2-2000000-2-2-2-2000000002200000000
χ1522-12-1222222-1-1-12-1-1222-1-1-12-1-1-122-1-1-12-1-122-1-1-1-10000-1-12-1-12-1-10000000000
χ1622-12-1222222-1-1-12-1-122-12-1-1-12-1-122-1-1-1-12-1-1-122-1-10000-1-1-12-1-12-10000000000
χ1722-12-1222222-1-1-12-1-122-1-12-1-1-12-122-1-1-1-1-12-1-1-1-1220000-1-1-1-12-1-120000000000
χ1822-12-12222-2-2-1-1-12-1-1222-1-112-1-11-2-2-1-1-12-1-122-1-1-1-1000011-211-2110000000000
χ1922-12-12222-2-2-1-1-12-1-122-12-11-12-11-2-2-1-1-1-12-1-1-122-1-10000111-211-210000000000
χ2022-12-12222-2-2-1-1-12-1-122-1-121-1-121-2-2-1-1-1-1-12-1-1-1-12200001111-211-20000000000
χ2122-12-1-2-2222-2-1112-1-1-2-22-1-1-12-1-112-2-1112-1-1-2-211110000-112-1-1-2110000000000
χ2222-12-1-2-2222-2-1112-1-1-2-2-12-1-1-12-112-2-111-12-111-2-2110000-11-12-11-210000000000
χ2322-12-1-2-2222-2-1112-1-1-2-2-1-12-1-1-1212-2-111-1-121111-2-20000-11-1-1211-20000000000
χ2422-12-1-2-222-22-1112-1-1-2-22-1-112-1-1-1-22-1112-1-1-2-2111100001-1-2112-1-10000000000
χ2522-12-1-2-222-22-1112-1-1-2-2-12-11-12-1-1-22-111-12-111-2-21100001-11-21-12-10000000000
χ2622-12-1-2-222-22-1112-1-1-2-2-1-121-1-12-1-22-111-1-121111-2-200001-111-2-1-120000000000
χ272-220-2i2−i22-2000i2−i202-2i2−i22220-2-2-20000i2−i2000i2−i2i2−i2i2−i22i−2i2i−2i00000000002−22−20000
χ282-220-2i2−i22-2000i2−i202-2i2−i22220-2-2-20000i2−i2000i2−i2i2−i2i2−i2−2i2i−2i2i0000000000−22−220000
χ292-220-2−i2i22-2000−i2i202-2−i2i22220-2-2-20000−i2i2000−i2i2−i2i2−i2i22i−2i2i−2i0000000000−22−220000
χ302-220-2−i2i22-2000−i2i202-2−i2i22220-2-2-20000−i2i2000−i2i2−i2i2−i2i2−2i2i−2i2i00000000002−22−20000
χ313333333-1-133333-1-1-1-1-100030003-1-1-1-1-100000000011-1-1-1-10000001-111-1-111-1-1
χ323333333-1-133333-1-1-1-1-100030003-1-1-1-1-1000000000-1-111-1-1000000-11-1-111-1-111
χ333333333-1-1-3-3333-1-1-1-1-1000-3000-311-1-1-100000000011-1-1110000001-111-1-1-1-111
χ343333333-1-1-3-3333-1-1-1-1-1000-3000-311-1-1-1000000000-1-11111000000-11-1-11111-1-1
χ3533333-3-3-1-13-33-3-3-1-1-1110003000-3-11-11100000000011-1-1-110000001-1-1-111-11-11
χ3633333-3-3-1-13-33-3-3-1-1-1110003000-3-11-111000000000-1-111-11000000-1111-1-11-11-1
χ3733333-3-3-1-1-333-3-3-1-1-111000-300031-1-11100000000011-1-11-10000001-1-1-1111-11-1
χ3833333-3-3-1-1-333-3-3-1-1-111000-300031-1-111000000000-1-1111-1000000-1111-1-1-11-11
χ39444-44004400-400-44400-2-2-20-2-2-2000-4002220000000000000000000000000000
χ4044-2-4-2004400200-4-2-2004-2-204-2-2000200-4220000000000000000000000000000
χ4144-2-4-2004400200-4-2-200-24-20-24-20002002-420000000000000000000000000000
χ4244-2-4-2004400200-4-2-200-2-240-2-2400020022-40000000000000000000000000000
χ434-440-42i2−2i24-40002i2−2i204-42i2−2i2-2-2-2022200002i2−2i2000−i2i2−i2i2−i2i20000000000000000000000
χ444-440-4−2i22i24-4000−2i22i204-4−2i22i2-2-2-202220000−2i22i2000i2−i2i2−i2i2−i20000000000000000000000
χ454-4-2022i2−2i24-4000−i2i20-222i2−2i24-2-20-4220000−i2i20002i2−2i2−i2i2−i2i20000000000000000000000
χ464-4-2022i2−2i24-4000−i2i20-222i2−2i2-24-202-420000−i2i2000−i2i22i2−2i2−i2i20000000000000000000000
χ474-4-2022i2−2i24-4000−i2i20-222i2−2i2-2-24022-40000−i2i2000−i2i2−i2i22i2−2i20000000000000000000000
χ484-4-202−2i22i24-4000i2−i20-22−2i22i24-2-20-4220000i2−i2000−2i22i2i2−i2i2−i20000000000000000000000
χ494-4-202−2i22i24-4000i2−i20-22−2i22i2-24-202-420000i2−i2000i2−i2−2i22i2i2−i20000000000000000000000
χ504-4-202−2i22i24-4000i2−i20-22−2i22i2-2-24022-40000i2−i2000i2−i2i2−i2−2i22i20000000000000000000000
χ51666-6600-2-200-6002-2-200000000000020000000000022-2-200000000-2200000000
χ52666-6600-2-200-6002-2-2000000000000200000000000-2-222000000002-200000000
χ5366-36-366-2-266-3-3-3-211-2-2000-3000-3-2-21110000000000000110000000000000000
χ5466-36-366-2-2-6-6-3-3-3-211-2-200030003221110000000000000-1-10000000000000000
χ5566-36-3-6-6-2-26-6-333-21122000-30003-221-1-100000000000001-10000000000000000
χ5666-36-3-6-6-2-2-66-333-211220003000-32-21-1-10000000000000-110000000000000000
χ576-660-63i2−3i2-220003i2−3i20-22−i2i200000000000−i2i20000000002i−2i−2i2i00000000002−2−220000
χ586-660-63i2−3i2-220003i2−3i20-22−i2i200000000000−i2i2000000000−2i2i2i−2i0000000000−222−20000
χ596-660-6−3i23i2-22000−3i23i20-22i2−i200000000000i2−i20000000002i−2i−2i2i0000000000−222−20000
χ606-660-6−3i23i2-22000−3i23i20-22i2−i200000000000i2−i2000000000−2i2i2i−2i00000000002−2−220000
χ611212-6-12-600-4-400600422000000000000-2000000000000000000000000000000000
χ6212-12-6066i2−6i2-44000−3i23i202-2−2i22i200000000000i2−i20000000000000000000000000000000
χ6312-12-606−6i26i2-440003i2−3i202-22i2−2i200000000000−i2i20000000000000000000000000000000

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