Finite Group Databasebeta

← Group #11784879

Character table — Group #11784879

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244223366666666661212121222222244666666224444666688121224242424444444121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-111-1-1
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
χ5111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ6111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ7111111-1-111111111-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ8111111-1-111111111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ91-1-111-11-111-1-1-111-111-1-111-1-111-1-11-11-111-1-11-11-11-1i−i11-1-1i−i1-1ii−i−i1-1ii−i−ii−ii−i
χ101-1-111-11-111-1-1-111-111-1-111-1-111-1-11-11-111-1-11-11-11-1−ii11-1-1−ii1-1−i−iii1-1−i−iii−ii−ii
χ111-1-111-11-111-1-1-111-111-1-111-1-1-1-111-11-11-1-1111-11-11-1i−i-1-111i−i-11ii−i−i1-1−i−iiii−i−ii
χ121-1-111-11-111-1-1-111-111-1-111-1-1-1-111-11-11-1-1111-11-11-1−ii-1-111−ii-11−i−iii1-1ii−i−i−iii−i
χ131-1-111-1-1111-1-1-111-1-1-11111-1-111-1-1-11-11-1-111-111-11-1i−i11-1-1−ii-11−i−iii-11ii−i−ii−i−ii
χ141-1-111-1-1111-1-1-111-1-1-11111-1-111-1-1-11-11-1-111-111-11-1−ii11-1-1i−i-11ii−i−i-11−i−iii−iii−i
χ151-1-111-1-1111-1-1-111-1-1-11111-1-1-1-1111-11-111-1-1-111-11-1i−i-1-111−ii1-1−i−iii-11−i−iiii−ii−i
χ161-1-111-1-1111-1-1-111-1-1-11111-1-1-1-1111-11-111-1-1-111-11-1−ii-1-111i−i1-1ii−i−i-11ii−i−i−ii−ii
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ18222222-2-222222222-2-2-2-22222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-200222222220000-2-2-2-2000022-2-2222200-2-22200000000-2-200000000000000
χ202222-2-200222222220000-2-2-2-20000-2-222-2-2-2-200-2-222000000002200000000000000
χ212222-2-200222222220000-2-2-2-22-22-2000000000022-2-2002-22-2000000000000000000
χ222222-2-200222222220000-2-2-2-2-22-22000000000022-2-200-22-22000000000000000000
χ232-2-222-22-222-2-2-222-222-2-222-2-20000000000002-2-22-2200000000000000-2200000000
χ242-2-222-2-2222-2-2-222-2-2-22222-2-2000000000000-22-22-22000000000000002-200000000
χ252-2-22-220022-2-2-222-20000-2-22200002-2-2222-2-200-222-200000000-2200000000000000
χ262-2-22-220022-2-2-222-20000-2-2220000-222-2-2-22200-222-2000000002-200000000000000
χ272-2-22-220022-2-2-222-20000-2-2222-2-2200000000002-2-22002-2-22000000000000000000
χ282-2-22-220022-2-2-222-20000-2-222-222-200000000002-2-2200-222-2000000000000000000
χ29444444441-21-2-21-21-2-2-2-21-2-210000000000001100002200002200-1-1-1-1000000-1-100
χ30444444441-21-2-21-21-2-2-2-21-2-21000000000000110000-2-20000-2-20011110000001100
χ3144444444-21-211-21-21111-211-222222222-1-1-1-1-2-2000000-1-1-1-100-1-100000000000000
χ3244444444-21-211-21-21111-211-2-2-2-2-2-2-2-2-21111-2-20000001111001100000000000000
χ33444444-4-41-21-2-21-2122221-2-21000000000000-1-10000220000-2-2001111000000-1-100
χ34444444-4-41-21-2-21-2122221-2-21000000000000-1-10000-2-200002200-1-1-1-10000001100
χ35444444-4-4-21-211-21-2-1-1-1-1-211-22222-2-2-2-2111122000000-1-1-1-1001100000000000000
χ36444444-4-4-21-211-21-2-1-1-1-1-211-2-2-2-2-22222-1-1-1-122000000111100-1-100000000000000
χ374444-4-400-21-211-21-23-33-32-1-122-22-222-2-2-1-1-1-100000000-11-11001100000000000000
χ384444-4-400-21-211-21-23-33-32-1-12-22-22-2-2221111000000001-11-100-1-100000000000000
χ394444-4-400-21-211-21-2-33-332-1-122-22-2-2-222111100000000-11-1100-1-100000000000000
χ404444-4-400-21-211-21-2-33-332-1-12-22-2222-2-2-1-1-1-1000000001-11-1001100000000000000
χ4144-4-400004444-4-4-4-40000000000000000000000000000000000000000002i−2i2i−2i0000
χ4244-4-400004444-4-4-4-4000000000000000000000000000000000000000000−2i2i−2i2i0000
χ434-44-4000044-4-44-4-440000000000000000000000000000000000000000002-2-220000
χ444-44-4000044-4-44-4-44000000000000000000000000000000000000000000-222-20000
χ454-4-444-44-41-2-1221-2-1-2-2221-22-10000000000001-100002i−2i00002i−2i00−i−iii000000−ii00
χ464-4-444-44-41-2-1221-2-1-2-2221-22-10000000000001-10000−2i2i0000−2i2i00ii−i−i000000i−i00
χ474-4-444-44-4-212-1-1-21211-1-1-21-1222-2-22-22-2-1-111-22000000-1-11100-1100000000000000
χ484-4-444-44-4-212-1-1-21211-1-1-21-12-2-222-22-2211-1-1-2200000011-1-1001-100000000000000
χ494-4-444-4-441-2-1221-2-122-2-21-22-1000000000000-1100002i−2i0000−2i2i00ii−i−i000000−ii00
χ504-4-444-4-441-2-1221-2-122-2-21-22-1000000000000-110000−2i2i00002i−2i00−i−iii000000i−i00
χ514-4-444-4-44-212-1-1-212-1-111-21-1222-2-2-22-2211-1-12-2000000-1-111001-100000000000000
χ524-4-444-4-44-212-1-1-212-1-111-21-12-2-2222-22-2-1-1112-200000011-1-100-1100000000000000
χ534-4-44-4400-212-1-1-2123-3-332-11-22-2-222-2-22-1-11100000000-111-1001-100000000000000
χ544-4-44-4400-212-1-1-2123-3-332-11-2-222-2-222-211-1-1000000001-1-1100-1100000000000000
χ554-4-44-4400-212-1-1-212-333-32-11-22-2-22-222-211-1-100000000-111-100-1100000000000000
χ564-4-44-4400-212-1-1-212-333-32-11-2-222-22-2-22-1-111000000001-1-11001-100000000000000
χ578888-8-8002-42-4-42-420000-244-2000000000000000000000000000000000000000000
χ5888-8-800002-42-44-24-20000000000000000000000000000000000006−66−60000000000
χ5988-8-800002-42-44-24-2000000000000000000000000000000000000−66−660000000000
χ6088-8-80000-42-42-24-240000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6188-8-80000-42-42-24-2400000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ628-88-800002-4-24-4-242000000000000000000000000000000000000i6−i6−i6i60000000000
χ638-88-800002-4-24-4-242000000000000000000000000000000000000−i6i6i6−i60000000000
χ648-88-80000-424-224-2-40000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ658-88-80000-424-224-2-400000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ668-8-88-88002-4-2442-4-20000-24-42000000000000000000000000000000000000000000

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