Finite Group Databasebeta

← Group #11864391

Character table — Group #11864391

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244223366666666661212121222222244666666224444446666121212121212448888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-111-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ6111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ7111111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ8111111-1-111111111-1-1-1-11111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111
χ91111-1-11-11111111111-1-1-1-1-1-111-1-111-1-111111-1-1-1111-11-111-1-111-1-1-1-11-111-1-11-11-1
χ101111-1-11-11111111111-1-1-1-1-1-111-1-111-1-111111-1-1-111-11-1111-1-1-1-111-1-11-1-1-111-11-11
χ111111-1-11-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-1111-11-1-1-11111-1-1111-1-1-1111-1-11
χ121111-1-11-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-11-11-1-111-1-111111-111-1-1-111-1
χ131111-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1111-1-1111-1-111-1-111-11-1-111-111-1
χ141111-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-111-111-111-1-1-1-11111-1111-1-11-1-11
χ151111-1-1-1111111111-1-111-1-1-1-1-1-11111-1-11111-11-1-1111-1-11-1-11111-1-1-1-1-1111-1-1-11-11
χ161111-1-1-1111111111-1-111-1-1-1-1-1-11111-1-11111-11-1-111-111-1-1-111-1-111-1-1-11-1-1111-11-1
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-2-222222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-22-22222222222-2-2-2-2-2-20000000000002-222-2-200000000000000-2200000000
χ202222-2-2-2222222222-2-222-2-2-2-2000000000000-2222-2-2000000000000002-200000000
χ212-2-222-20022-2-2-2-22200002-22-200002-22-222-2-2002-22-20000000000002-20000000000
χ222-2-222-20022-2-2-2-22200002-22-20000-22-22-2-222002-22-2000000000000-220000000000
χ232-2-222-20022-2-2-2-22200002-22-22-22-20000000000-22-2200002-22-20000000000000000
χ242-2-222-20022-2-2-2-22200002-22-2-22-220000000000-22-220000-22-220000000000000000
χ252-2-22-220022-2-2-2-2220000-22-2200002-2-2222-2-200-222-2000000000000-220000000000
χ262-2-22-220022-2-2-2-2220000-22-220000-222-2-2-22200-222-20000000000002-20000000000
χ272-2-22-220022-2-2-2-2220000-22-222-2-2200000000002-2-2200002-2-220000000000000000
χ282-2-22-220022-2-2-2-2220000-22-22-222-200000000002-2-220000-222-20000000000000000
χ29444444441-2-2-211-21-2-2-2-2-2-21100000000000011000022220000-1-1-1-100000000-1-100
χ30444444441-2-2-211-21-2-2-2-2-2-211000000000000110000-2-2-2-200001111000000001100
χ3144444444-2111-2-21-2111111-2-222222222-1-1-1-1-2-200000000-1-1-1-10000-1-10000000000
χ3244444444-2111-2-21-2111111-2-2-2-2-2-2-2-2-2-21111-2-20000000011110000110000000000
χ33444444-4-41-2-2-211-212222-2-211000000000000-1-1000022-2-20000-1-1-1-1000000001100
χ34444444-4-41-2-2-211-212222-2-211000000000000-1-10000-2-2220000111100000000-1-100
χ35444444-4-4-2111-2-21-2-1-1-1-111-2-22222-2-2-2-211112200000000-1-1-1-10000110000000000
χ36444444-4-4-2111-2-21-2-1-1-1-111-2-2-2-2-2-22222-1-1-1-1220000000011110000-1-10000000000
χ374444-4-44-41-2-2-211-21-2-22222-1-10000000000001-100002-22-20000-1-11100000000-1100
χ384444-4-44-41-2-2-211-21-2-22222-1-10000000000001-10000-22-22000011-1-1000000001-100
χ394444-4-44-4-2111-2-21-211-1-1-1-12222-2-222-2-2-1-1-1-1-2200000000-1-1110000110000000000
χ404444-4-44-4-2111-2-21-211-1-1-1-122-2-222-2-2221111-220000000011-1-10000-1-10000000000
χ414444-4-4-441-2-2-211-2122-2-222-1-1000000000000-1100002-2-220000-1-111000000001-100
χ424444-4-4-441-2-2-211-2122-2-222-1-1000000000000-110000-222-2000011-1-100000000-1100
χ434444-4-4-44-2111-2-21-2-1-111-1-12222-2-2-2-22211112-200000000-1-1110000-1-10000000000
χ444444-4-4-44-2111-2-21-2-1-111-1-122-2-22222-2-2-1-1-1-12-20000000011-1-10000110000000000
χ4544-4-40000444-44-4-4-400000000000000000000000000000000000000000000−2i22i20000
χ4644-4-40000444-44-4-4-4000000000000000000000000000000000000000000002i2−2i20000
χ474-44-4000044-44-44-4-4000000000000000000000000000000000000000000−2i22i2000000
χ484-44-4000044-44-44-4-40000000000000000000000000000000000000000002i2−2i2000000
χ494-4-444-400-21-1-1221-23-33-31-1-222-22-22-22-2-1-1110000000000-11-110000-110000000000
χ504-4-444-400-21-1-1221-23-33-31-1-22-22-22-22-2211-1-100000000001-11-100001-10000000000
χ514-4-444-400-21-1-1221-2-33-331-1-222-22-2-22-2211-1-10000000000-11-1100001-10000000000
χ524-4-444-400-21-1-1221-2-33-331-1-22-22-222-22-2-1-11100000000001-11-10000-110000000000
χ534-4-44-4400-21-1-1221-23-3-33-112-22-2-222-2-22-1-1110000000000-111-100001-10000000000
χ544-4-44-4400-21-1-1221-23-3-33-112-2-222-2-222-211-1-100000000001-1-110000-110000000000
χ554-4-44-4400-21-1-1221-2-333-3-112-22-2-22-222-211-1-10000000000-111-10000-110000000000
χ564-4-44-4400-21-1-1221-2-333-3-112-2-222-22-2-22-1-11100000000001-1-1100001-10000000000
χ5788-8-800002-4-442-24-200000000000000000000000000000000000023−23000000000000
χ5888-8-800002-4-442-24-2000000000000000000000000000000000000−2323000000000000
χ5988-8-80000-422-2-44-240000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6088-8-80000-422-2-44-2400000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ618-88-800002-44-4-224-2000000000000000000000000000000000023−2300000000000000
χ628-88-800002-44-4-224-20000000000000000000000000000000000−232300000000000000
χ638-88-80000-42-224-4-240000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ648-88-80000-42-224-4-2400000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ658-8-888-8002-444-2-2-420000-442-2000000000000000000000000000000000000000000
χ668-8-88-88002-444-2-2-4200004-4-22000000000000000000000000000000000000000000

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