Finite Group Databasebeta

← Group #11786595

Character table — Group #11786595

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order1222443344666666121212121212121222224444121212121212224444666688121224242424444444121288
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
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
χ611111111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ711111111-1-1111111111-1-1-1-11-1-1-1-111111111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
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
χ91-11-1-1111i−i11-1-1-1-11-1-1ii−i−i111-1-1i−ii−iii−i−ii−i1-1-11i−i11-1-11-1i−i11-1-1i−iii−i−ii−i1-1
χ101-11-1-1111i−i11-1-1-1-11-1-1ii−i−i111-1-1i−ii−iii−i−ii−i1-1-11−ii11-1-1-11i−i-1-111i−i−i−iii−ii-11
χ111-11-1-1111i−i11-1-1-1-11-1-1ii−i−i1-1-111−ii−ii−i−iiii−i1-1-11i−i-1-1111-1−ii11-1-1i−i−i−iiii−i-11
χ121-11-1-1111i−i11-1-1-1-11-1-1ii−i−i1-1-111−ii−ii−i−iiii−i1-1-11−ii-1-111-11−ii-1-111i−iii−i−i−ii1-1
χ131-11-1-1111−ii11-1-1-1-11-1-1−i−iii111-1-1−ii−ii−i−iii−ii1-1-11i−i11-1-1-11−ii-1-111−iiii−i−ii−i-11
χ141-11-1-1111−ii11-1-1-1-11-1-1−i−iii111-1-1−ii−ii−i−iii−ii1-1-11−ii11-1-11-1−ii11-1-1−ii−i−iii−ii1-1
χ151-11-1-1111−ii11-1-1-1-11-1-1−i−iii1-1-111i−ii−iii−i−i−ii1-1-11i−i-1-111-11i−i-1-111−ii−i−iiii−i1-1
χ161-11-1-1111−ii11-1-1-1-11-1-1−i−iii1-1-111i−ii−iii−i−i−ii1-1-11−ii-1-1111-1i−i11-1-1−iiii−i−i−ii-11
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-2222222222-2-2-2-22000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-22200222222-2-2-20000-2000022-2-2222200-2-22200000000-2-200000000000000
χ202222-2-22200222222-2-2-20000-20000-2-222-2-2-2-200-2-222000000002200000000000000
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
χ232-22-22-2220022-2-2-2-2-2220000-200002i−2i−2i2i2i2i−2i−2i00-22-2200000000−2i2i00000000000000
χ242-22-22-2220022-2-2-2-2-2220000-20000−2i2i2i−2i−2i−2i2i2i00-22-22000000002i−2i00000000000000
χ252-22-22-2220022-2-2-2-2-2220000-22-2-2200000000002-22-2002-2-22000000000000000000
χ262-22-22-2220022-2-2-2-2-2220000-2-222-200000000002-22-200-222-2000000000000000000
χ272-22-2-22222i−2i22-2-2-2-22-2-22i2i−2i−2i20000000000002i−2i-222-200000000000000−2i2i00000000
χ282-22-2-2222−2i2i22-2-2-2-22-2-2−2i−2i2i2i2000000000000−2i2i-222-2000000000000002i−2i00000000
χ294444441-2441-21-2-21-21-2-2-2-2-210000000000001100002200002200-1-1-1-1000000-1-100
χ304444441-2441-21-2-21-21-2-2-2-2-21000000000000110000-2-20000-2-20011110000001100
χ314444441-2-4-41-21-2-21-21-222221000000000000-1-10000220000-2-2001111000000-1-100
χ324444441-2-4-41-21-2-21-21-222221000000000000-1-10000-2-200002200-1-1-1-10000001100
χ33444444-2144-21-211-21-211111-222222222-1-1-1-1-2-2000000-1-1-1-100-1-100000000000000
χ34444444-2144-21-211-21-211111-2-2-2-2-2-2-2-2-21111-2-20000001111001100000000000000
χ35444444-21-4-4-21-211-21-21-1-1-1-1-22222-2-2-2-2111122000000-1-1-1-1001100000000000000
χ36444444-21-4-4-21-211-21-21-1-1-1-1-2-2-2-2-22222-1-1-1-122000000111100-1-100000000000000
χ374444-4-4-2100-21-211-2-12-13-33-322-22-222-2-2-1-1-1-100000000-11-11001100000000000000
χ384444-4-4-2100-21-211-2-12-13-33-32-22-22-2-2221111000000001-11-100-1-100000000000000
χ394444-4-4-2100-21-211-2-12-1-33-3322-22-2-2-222111100000000-11-1100-1-100000000000000
χ404444-4-4-2100-21-211-2-12-1-33-332-22-2222-2-2-1-1-1-1000000001-11-1001100000000000000
χ4144-4-4004400-4-44-44-40000000000000000000000000000000000000000002i−2i2i−2i0000
χ4244-4-4004400-4-44-44-4000000000000000000000000000000000000000000−2i2i−2i2i0000
χ434-44-44-4-2100-212-1-12-1-213i−3i−3i3i22-2-222i−2i−2i2i−i−iii00000000-111-100i−i00000000000000
χ444-44-44-4-2100-212-1-12-1-213i−3i−3i3i2-222-2−2i2i2i−2iii−i−i000000001-1-1100−ii00000000000000
χ454-44-44-4-2100-212-1-12-1-21−3i3i3i−3i22-2-22−2i2i2i−2iii−i−i00000000-111-100−ii00000000000000
χ464-44-44-4-2100-212-1-12-1-21−3i3i3i−3i2-222-22i−2i−2i2i−i−iii000000001-1-1100i−i00000000000000
χ474-44-4-441-24i−4i1-2-122-1-2-12−2i−2i2i2i1000000000000i−i00002i−2i00002-200-1-111000000−ii00
χ484-44-4-441-24i−4i1-2-122-1-2-12−2i−2i2i2i1000000000000i−i0000−2i2i0000-220011-1-1000000i−i00
χ494-44-4-441-2−4i4i1-2-122-1-2-122i2i−2i−2i1000000000000−ii00002i−2i0000-220011-1-1000000−ii00
χ504-44-4-441-2−4i4i1-2-122-1-2-122i2i−2i−2i1000000000000−ii0000−2i2i00002-200-1-111000000i−i00
χ514-44-4-44-214i−4i-212-1-1212-1ii−i−i-222-2-22i−2i2i−2i−i−iii−2i2i000000-1-11100−ii00000000000000
χ524-44-4-44-214i−4i-212-1-1212-1ii−i−i-2-2-222−2i2i−2i2iii−i−i−2i2i00000011-1-100i−i00000000000000
χ534-44-4-44-21−4i4i-212-1-1212-1−i−iii-222-2-2−2i2i−2i2iii−i−i2i−2i000000-1-11100i−i00000000000000
χ544-44-4-44-21−4i4i-212-1-1212-1−i−iii-2-2-2222i−2i2i−2i−i−iii2i−2i00000011-1-100−ii00000000000000
χ554-4-44004400-4-4-44-440000000000000000000000000000000000000000002-2-220000
χ564-4-44004400-4-4-44-44000000000000000000000000000000000000000000-222-20000
χ578888-8-82-4002-42-4-424-240000-2000000000000000000000000000000000000000000
χ5888-8-8002-400-2424-4-20000000000000000000000000000000000006−66−60000000000
χ5988-8-8002-400-2424-4-2000000000000000000000000000000000000−66−660000000000
χ6088-8-800-42004-2-4-2240000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ6188-8-800-42004-2-4-22400000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ628-88-88-82-4002-4-244-242-40000-2000000000000000000000000000000000000000000
χ638-8-88002-400-24-2-4420000000000000000000000000000000000006−6−660000000000
χ648-8-88002-400-24-2-442000000000000000000000000000000000000−666−60000000000
χ658-8-8800-42004-242-2-4000000000000000023−23−2323000000000000000000000000000000
χ668-8-8800-42004-242-2-40000000000000000−232323−23000000000000000000000000000000

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