Finite Group Databasebeta

← Group #11864647

Character table — Group #11864647

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order1222442233666666666612121212222222446666662244244466666612121212448888121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1
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
χ5111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-11111111-1-111-1-1-1-1-1-1-1-111
χ6111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1111111-1-1
χ7111111-1-111111111-1-1-1-11111-1-1-1-111111111-1-111111-1-1111-1-1-1-11111-1-11111-1-1-1-1
χ8111111-1-111111111-1-1-1-11111-1-1-1-111111111-1-11111-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ91111-1-11-11111111111-1-1-1-1-1-111-1-111-1-111111-1-1-11111-1-11111-1-1-1-1-1-11-111-1-11-11-1
χ101111-1-11-11111111111-1-1-1-1-1-111-1-111-1-111111-1-1-111-1-111-1-111-1-1-1-1111-1-1-111-11-11
χ111111-1-11-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-11111-1-111-1-11111-1-11-1-1-1111-1-11
χ121111-1-11-11111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-111-1-1-1-11111111-111-1-1-111-1
χ131111-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-1111-11-11111-1-111-1-1-11-1-111-111-1
χ141111-1-1-1111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-1-11-1-111-11-11-1-111-1-11111-1111-1-11-1-11
χ151111-1-1-1111111111-1-111-1-1-1-1-1-11111-1-11111-11-1-1111-11-111-1-111-1-1-1-1-1111-1-1-11-11
χ161111-1-1-1111111111-1-111-1-1-1-1-1-11111-1-11111-11-1-111-11-11-1-1-1-111-1-111-11-1-1111-11-1
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
χ212-2-222-20022-2-2-222-2000022-2-200002-22-222-2-2002-22-200000000002-2000000000000
χ222-2-222-20022-2-2-222-2000022-2-20000-22-22-2-222002-22-20000000000-22000000000000
χ232-2-222-20022-2-2-222-2000022-2-22-22-20000000000-22-220000002-22-200000000000000
χ242-2-222-20022-2-2-222-2000022-2-2-22-220000000000-22-22000000-22-2200000000000000
χ252-2-22-220022-2-2-222-20000-2-22200002-2-2222-2-200-222-20000000000-22000000000000
χ262-2-22-220022-2-2-222-20000-2-2220000-222-2-2-22200-222-200000000002-2000000000000
χ272-2-22-220022-2-2-222-20000-2-2222-2-2200000000002-2-220000002-2-2200000000000000
χ282-2-22-220022-2-2-222-20000-2-222-222-200000000002-2-22000000-222-200000000000000
χ29444444441-21-2-21-21-2-2-2-21-21-20000000000001100002222-1-1000000-1-1000000-1-100
χ30444444441-21-2-21-21-2-2-2-21-21-2000000000000110000-2-2-2-211000000110000001100
χ3144444444-21-211-21-21111-21-2122222222-1-1-1-1-2-20000000000-1-1-1-1-1-1000000000000
χ3244444444-21-211-21-21111-21-21-2-2-2-2-2-2-2-21111-2-20000000000111111000000000000
χ33444444-4-41-21-2-21-2122221-21-2000000000000-1-100002-2-22-1-1000000-1-10000001100
χ34444444-4-41-21-2-21-2122221-21-2000000000000-1-10000-222-21100000011000000-1-100
χ35444444-4-4-21-211-21-2-1-1-1-1-21-212222-2-2-2-21111220000000000-1-1-1-111000000000000
χ36444444-4-4-21-211-21-2-1-1-1-1-21-21-2-2-2-22222-1-1-1-12200000000001111-1-1000000000000
χ374444-4-44-41-21-2-21-21-2-222-12-120000000000001-1000022-2-2-1-100000011000000-1100
χ384444-4-44-41-21-2-21-21-2-222-12-120000000000001-10000-2-22211000000-1-10000001-100
χ394444-4-44-4-21-211-21-211-1-12-12-122-2-222-2-2-1-1-1-1-220000000000-1-11111000000000000
χ404444-4-44-4-21-211-21-211-1-12-12-1-2-222-2-2221111-22000000000011-1-1-1-1000000000000
χ414444-4-4-441-21-2-21-2122-2-2-12-12000000000000-1100002-22-2-1-1000000110000001-100
χ424444-4-4-441-21-2-21-2122-2-2-12-12000000000000-110000-22-2211000000-1-1000000-1100
χ434444-4-4-44-21-211-21-2-1-1112-12-122-2-2-2-22211112-20000000000-1-111-1-1000000000000
χ444444-4-4-44-21-211-21-2-1-1112-12-1-2-22222-2-2-1-1-1-12-2000000000011-1-111000000000000
χ4544-4-400004444-4-4-4-400000000000000000000000000000000000000000000−2i22i20000
χ4644-4-400004444-4-4-4-4000000000000000000000000000000000000000000002i2−2i20000
χ474-44-4000044-4-44-4-4400000000000000000000000000000000000000000022−22000000
χ484-44-4000044-4-44-4-44000000000000000000000000000000000000000000−2222000000
χ494-4-444-400-212-1-1-2123-33-3-212-12-22-22-22-2-1-111000000000000-11-11-11000000000000
χ504-4-444-400-212-1-1-2123-33-3-212-1-22-22-22-2211-1-10000000000001-11-11-1000000000000
χ514-4-444-400-212-1-1-212-33-33-212-12-22-2-22-2211-1-1000000000000-11-111-1000000000000
χ524-4-444-400-212-1-1-212-33-33-212-1-22-222-22-2-1-1110000000000001-11-1-11000000000000
χ534-4-44-4400-212-1-1-2123-3-332-1-212-2-222-2-22-1-111000000000000-111-11-1000000000000
χ544-4-44-4400-212-1-1-2123-3-332-1-21-222-2-222-211-1-10000000000001-1-11-11000000000000
χ554-4-44-4400-212-1-1-212-333-32-1-212-2-22-222-211-1-1000000000000-111-1-11000000000000
χ564-4-44-4400-212-1-1-212-333-32-1-21-222-22-2-22-1-1110000000000001-1-111-1000000000000
χ5788-8-800002-42-44-24-20000000000000000000000000000000000000023−230000000000
χ5888-8-800002-42-44-24-200000000000000000000000000000000000000−23230000000000
χ5988-8-80000-42-42-24-240000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6088-8-80000-42-42-24-2400000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ618-88-800002-4-24-4-242000000000000000000000000000000−2i32i3000000000000000000
χ628-88-800002-4-24-4-2420000000000000000000000000000002i3−2i3000000000000000000
χ638-88-80000-424-224-2-40000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ648-88-80000-424-224-2-400000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ658-8-888-8002-4-2442-4-200002-4-24000000000000000000000000000000000000000000
χ668-8-88-88002-4-2442-4-20000-242-4000000000000000000000000000000000000000000

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