Finite Group Databasebeta

← Group #11787752

Character table — Group #11787752

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244334466666612121212121212124444444412121212121222442288121212121212242424242244446688
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1
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
χ511111111-1-1111111111-1-1-1-111111-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111-1-1111111111-1-1-1-111111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ711111111-1-1111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ811111111-1-1111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111
χ91-11-1-11111-1-1-11-11-11-1-111-1-11i−ii−iii−i−iii−i−i1-11-11-11-11-1i−iii−i−i11-1-11-1ii−i−i1-1i−i
χ101-11-1-11111-1-1-11-11-11-1-111-1-11i−ii−iii−i−iii−i−i1-11-11-1-11-11i−iii−i−i-1-1111-1−i−iii-11−ii
χ111-11-1-11111-1-1-11-11-11-1-111-1-11−ii−ii−i−iii−i−iii1-11-11-11-11-1−ii−i−iii11-1-11-1−i−iii1-1−ii
χ121-11-1-11111-1-1-11-11-11-1-111-1-11−ii−ii−i−iii−i−iii1-11-11-1-11-11−ii−i−iii-1-1111-1ii−i−i-11i−i
χ131-11-1-1111-11-1-11-11-11-1-1-1-1111i−ii−i−i−iiiii−i−i-111-11-11-1-11i−i−i−iii-1-111-11−i−iii1-1i−i
χ141-11-1-1111-11-1-11-11-11-1-1-1-1111i−ii−i−i−iiiii−i−i-111-11-1-111-1i−i−i−iii11-1-1-11ii−i−i-11−ii
χ151-11-1-1111-11-1-11-11-11-1-1-1-1111−ii−iiii−i−i−i−iii-111-11-11-1-11−iiii−i−i-1-111-11ii−i−i1-1−ii
χ161-11-1-1111-11-1-11-11-11-1-1-1-1111−ii−iiii−i−i−i−iii-111-11-1-111-1−iiii−i−i11-1-1-11−i−iii-11i−i
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-2222222222-2-2-2-22000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-22200222222-2-2-20000-200002-22-200000022-2-20000002-22-200000000000000
χ202222-2-22200222222-2-2-20000-20000-22-2200000022-2-2000000-22-2200000000000000
χ212222-2-22200222222-2-2-20000-222-2-20000222200-2-2220000-2-2000000000000000000
χ222222-2-22200222222-2-2-20000-2-2-2220000-2-2-2-200-2-222000022000000000000000000
χ232-22-22-22200-2-22-22-2-2220000-200002i−2i−2i2i0000002-2-220000002i−2i−2i2i00000000000000
χ242-22-22-22200-2-22-22-2-2220000-20000−2i2i2i−2i0000002-2-22000000−2i2i2i−2i00000000000000
χ252-22-22-22200-2-22-22-2-2220000-22i−2i−2i2i00002i2i−2i−2i00-222-20000−2i2i000000000000000000
χ262-22-22-22200-2-22-22-2-2220000-2−2i2i2i−2i0000−2i−2i2i2i00-222-200002i−2i000000000000000000
χ272-22-2-22222-2-2-22-22-22-2-222-2-220000000000002-2-22-2200000000000000-2200000000
χ282-22-2-2222-22-2-22-22-22-2-2-2-2222000000000000-22-22-22000000000000002-200000000
χ294444441-244-2-211-2111-21111-222222222-1-1-1-1-2-200000000-1-1-1-1-1-100000000000000
χ304444441-244-2-211-2111-21111-2-2-2-2-2-2-2-2-21111-2-20000000011111100000000000000
χ314444441-2-4-4-2-211-2111-2-1-1-1-1-22222-2-2-2-2-1-1-1-12200000000-1-1111100000000000000
χ324444441-2-4-4-2-211-2111-2-1-1-1-1-2-2-2-2-222221111220000000011-1-1-1-100000000000000
χ33444444-214411-2-21-2-2-21-2-2-2-210000000000001100002222000000-1-1-1-1000000-1-100
χ34444444-214411-2-21-2-2-21-2-2-2-21000000000000110000-2-2-2-200000011110000001100
χ35444444-21-4-411-2-21-2-2-2122221000000000000-1-1000022-2-20000001111000000-1-100
χ36444444-21-4-411-2-21-2-2-2122221000000000000-1-10000-2-222000000-1-1-1-10000001100
χ374444-4-41-200-2-211-21-1-123-33-3222-2-22-22-2-1-1-1-1000000000011-11-1100000000000000
χ384444-4-41-200-2-211-21-1-123-33-32-2-222-22-2211110000000000-1-11-11-100000000000000
χ394444-4-41-200-2-211-21-1-12-33-33222-2-2-22-22-1-1-1-10000000000111-11-100000000000000
χ404444-4-41-200-2-211-21-1-12-33-332-2-2222-22-211110000000000-1-1-11-1100000000000000
χ4144-4-40044004-4-44-4-40000000000000000000000000000000000000000002i−2i2i−2i0000
χ4244-4-40044004-4-44-4-4000000000000000000000000000000000000000000−2i2i−2i2i0000
χ434-44-44-41-200221-1-2-1-11-23-3-3322i−2i−2i2i2i−2i−2i2i−i−iii0000000000i−i−iii−i00000000000000
χ444-44-44-41-200221-1-2-1-11-23-3-332−2i2i2i−2i−2i2i2i−2iii−i−i0000000000−iii−i−ii00000000000000
χ454-44-44-41-200221-1-2-1-11-2-333-322i−2i−2i2i−2i2i2i−2i−i−iii0000000000i−ii−i−ii00000000000000
χ464-44-44-41-200221-1-2-1-11-2-333-32−2i2i2i−2i2i−2i−2i2iii−i−i0000000000−ii−iii−i00000000000000
χ474-44-4-441-24-4221-1-2-11-1211-1-1-22i−2i2i−2i2i2i−2i−2i−i−iii-2200000000−ii−i−iii00000000000000
χ484-44-4-441-24-4221-1-2-11-1211-1-1-2−2i2i−2i2i−2i−2i2i2iii−i−i-2200000000i−iii−i−i00000000000000
χ494-44-4-441-2-44221-1-2-11-12-1-111-22i−2i2i−2i−2i−2i2i2i−i−iii2-200000000−iiii−i−i00000000000000
χ504-44-4-441-2-44221-1-2-11-12-1-111-2−2i2i−2i2i2i2i−2i−2iii−i−i2-200000000i−i−i−iii00000000000000
χ514-44-4-44-214-4-1-1-2212-22-1-2-22210000000000001-100002-22-2000000-1-111000000-1100
χ524-44-4-44-214-4-1-1-2212-22-1-2-22210000000000001-10000-22-2200000011-1-10000001-100
χ534-44-4-44-21-44-1-1-2212-22-122-2-21000000000000-1100002-2-2200000011-1-1000000-1100
χ544-44-4-44-21-44-1-1-2212-22-122-2-21000000000000-110000-222-2000000-1-1110000001-100
χ554-4-44004400-44-4-4-440000000000000000000000000000000000000000002-2-220000
χ564-4-44004400-44-4-4-44000000000000000000000000000000000000000000-222-20000
χ578888-8-8-420022-4-42-444-20000-2000000000000000000000000000000000000000000
χ5888-8-8002-400-44-224-20000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ5988-8-8002-400-44-224-200000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ6088-8-800-42002-24-4-240000000000000000000000000000000000006−66−60000000000
χ6188-8-800-42002-24-4-24000000000000000000000000000000000000−66−660000000000
χ628-88-88-8-4200-2-2-44244-420000-2000000000000000000000000000000000000000000
χ638-8-88002-4004-4-2-242000000000000000023−23−2323000000000000000000000000000000
χ648-8-88002-4004-4-2-2420000000000000000−232323−23000000000000000000000000000000
χ658-8-8800-4200-2244-2-40000000000000000000000000000000000006−6−660000000000
χ668-8-8800-4200-2244-2-4000000000000000000000000000000000000−666−60000000000

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