Finite Group Databasebeta

← Group #11784880

Character table — Group #11784880

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order12224433446666661212121212121212222222441212121212122244446666668824242424224444121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-1
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
χ511111111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ611111111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ711111111-1-1111111111-1-1-1-11-1-1-1-111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111-1-1111111111-1-1-1-11-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ91-1-111-1111-1-1-1-11-1111-111-1-1-111-1-11-11-111-1-11-11-11-1i−i11-1-11-1i−iii−i−i1-1ii−i−ii−ii−i
χ101-1-111-1111-1-1-1-11-1111-111-1-1-111-1-11-11-111-1-11-11-11-1−ii11-1-11-1−ii−i−iii1-1−i−iii−ii−ii
χ111-1-111-1111-1-1-1-11-1111-111-1-1-1-1-111-11-11-1-1111-11-11-1i−i-1-111-11i−iii−i−i1-1−i−iiii−i−ii
χ121-1-111-1111-1-1-1-11-1111-111-1-1-1-1-111-11-11-1-1111-11-11-1−ii-1-111-11−ii−i−iii1-1ii−i−i−iii−i
χ131-1-111-111-11-1-1-11-1111-1-1-111-111-1-1-11-11-1-111-111-11-1i−i11-1-1-11−ii−i−iii-11ii−i−ii−i−ii
χ141-1-111-111-11-1-1-11-1111-1-1-111-111-1-1-11-11-1-111-111-11-1−ii11-1-1-11i−iii−i−i-11−i−iii−iii−i
χ151-1-111-111-11-1-1-11-1111-1-1-111-1-1-1111-11-111-1-1-111-11-1i−i-1-1111-1−ii−i−iii-11−i−iiii−ii−i
χ161-1-111-111-11-1-1-11-1111-1-1-111-1-1-1111-11-111-1-1-111-11-1−ii-1-1111-1i−iii−i−i-11ii−i−i−ii−ii
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-2222222222-2-2-2-22000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-22200222222-2-2-20000-2000022-2-2-2-2-2-200-2-222000000220000000000000000
χ202222-2-22200222222-2-2-20000-20000-2-222222200-2-222000000-2-20000000000000000
χ212222-2-22200222222-2-2-20000-22-22-2000000000022-2-2002-22-2000000000000000000
χ222222-2-22200222222-2-2-20000-2-22-22000000000022-2-200-22-22000000000000000000
χ232-2-222-2222-2-2-2-22-2222-222-2-2-20000000000002-2-22-2200000000000000-2200000000
χ242-2-222-222-22-2-2-22-2222-2-2-222-2000000000000-22-22-22000000000000002-200000000
χ252-2-22-222200-2-2-22-22-2-220000200002-2-22-2-22200-222-20000002-20000000000000000
χ262-2-22-222200-2-2-22-22-2-22000020000-222-222-2-200-222-2000000-220000000000000000
χ272-2-22-222200-2-2-22-22-2-22000022-2-2200000000002-2-22002-2-22000000000000000000
χ282-2-22-222200-2-2-22-22-2-2200002-222-200000000002-2-2200-222-2000000000000000000
χ294444441-2441-2-211-21-2-2-2-2-2-210000000000001100002200000022-1-1-1-1000000-1-100
χ304444441-2441-2-211-21-2-2-2-2-2-21000000000000110000-2-2000000-2-211110000001100
χ314444441-2-4-41-2-211-21-2-222221000000000000-1-1000022000000-2-21111000000-1-100
χ324444441-2-4-41-2-211-21-2-222221000000000000-1-10000-2-200000022-1-1-1-10000001100
χ33444444-2144-211-2-21-2111111-222222222-1-1-1-1-2-2000000-1-1-1-1-1-10000000000000000
χ34444444-2144-211-2-21-2111111-2-2-2-2-2-2-2-2-21111-2-20000001111110000000000000000
χ35444444-21-4-4-211-2-21-211-1-1-1-1-22222-2-2-2-2111122000000-1-1-1-1110000000000000000
χ36444444-21-4-4-211-2-21-211-1-1-1-1-2-2-2-2-22222-1-1-1-1220000001111-1-10000000000000000
χ374444-4-4-2100-211-2-212-1-13-33-322-22-222-2-2111100000000-11-11-1-10000000000000000
χ384444-4-4-2100-211-2-212-1-13-33-32-22-22-2-222-1-1-1-1000000001-11-1110000000000000000
χ394444-4-4-2100-211-2-212-1-1-33-3322-22-2-2-222-1-1-1-100000000-11-11110000000000000000
χ404444-4-4-2100-211-2-212-1-1-33-332-22-2222-2-21111000000001-11-1-1-10000000000000000
χ4144-4-400440044-4-4-4-40000000000000000000000000000000000000000002i−2i2i−2i0000
χ4244-4-400440044-4-4-4-4000000000000000000000000000000000000000000−2i2i−2i2i0000
χ434-44-4004400-4-44-44-40000000000000000000000000000000000000000002-2-220000
χ444-44-4004400-4-44-44-4000000000000000000000000000000000000000000-222-20000
χ454-4-444-41-24-4-1221-1-21-22-2-222-10000000000001-100002i−2i0000002i−2i−i−iii000000−ii00
χ464-4-444-41-24-4-1221-1-21-22-2-222-10000000000001-10000−2i2i000000−2i2iii−i−i000000i−i00
χ474-4-444-41-2-44-1221-1-21-2222-2-2-1000000000000-1100002i−2i000000−2i2iii−i−i000000−ii00
χ484-4-444-41-2-44-1221-1-21-2222-2-2-1000000000000-110000−2i2i0000002i−2i−i−iii000000i−i00
χ494-4-444-4-214-42-1-1-221-21-111-1-1222-2-22-22-2-1-111-22000000-1-111-110000000000000000
χ504-4-444-4-214-42-1-1-221-21-111-1-12-2-222-22-2211-1-1-2200000011-1-11-10000000000000000
χ514-4-444-4-21-442-1-1-221-21-1-1-111222-2-2-22-2211-1-12-2000000-1-1111-10000000000000000
χ524-4-444-4-21-442-1-1-221-21-1-1-1112-2-2222-22-2-1-1112-200000011-1-1-110000000000000000
χ534-4-44-44-21002-1-1-2212-113-3-33-22-2-222-2-2211-1-100000000-111-1-110000000000000000
χ544-4-44-44-21002-1-1-2212-113-3-33-2-222-2-222-2-1-111000000001-1-111-10000000000000000
χ554-4-44-44-21002-1-1-2212-11-333-3-22-2-22-222-2-1-11100000000-111-11-10000000000000000
χ564-4-44-44-21002-1-1-2212-11-333-3-2-222-22-2-2211-1-1000000001-1-11-110000000000000000
χ578888-8-82-4002-4-422-4-2440000-2000000000000000000000000000000000000000000
χ5888-8-8002-4002-44-2-24000000000000000000000000000000000000i6−i6i6−i60000000000
χ5988-8-8002-4002-44-2-24000000000000000000000000000000000000−i6i6−i6i60000000000
χ6088-8-800-4200-42-244-2000000000000000023−2323−23000000000000000000000000000000
χ6188-8-800-4200-42-244-20000000000000000−2323−2323000000000000000000000000000000
χ628-88-8002-400-24-4-2240000000000000000000000000000000000006−6−660000000000
χ638-88-8002-400-24-4-224000000000000000000000000000000000000−666−60000000000
χ648-88-800-42004-224-4-2000000000000000023−23−2323000000000000000000000000000000
χ658-88-800-42004-224-4-20000000000000000−232323−23000000000000000000000000000000
χ668-8-88-882-400-2442-2-4-24-400002000000000000000000000000000000000000000000

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