Finite Group Databasebeta

← Group #11786708

Character table — Group #11786708

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order122244334466666612121212121212122244444412121212121222444466881212121224242424444444121288
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-111-1-1
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
χ511111111-1-11111111-1-1-1-11111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111-1-11111111-1-1-1-11111111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ711111111-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ811111111-1-11111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ91-11-1-1111i−i1-1-11-1-1-1ii−i−i1-111-11-1ii−i−i11-1-1i−i-111-1i−i1-11-1ii−i−i11-1-1i−i11-1-1i−ii−i
χ101-11-1-1111i−i1-1-11-1-1-1ii−i−i1-111-11-1ii−i−i11-1-1i−i-111-1−ii1-1-11ii−i−i-1-111i−i-1-111−ii−ii
χ111-11-1-1111i−i1-1-11-1-1-1ii−i−i1-11-11-11−i−iii-1-111i−i-111-1i−i-111-1−i−iii11-1-1i−i-1-111i−i−ii
χ121-11-1-1111i−i1-1-11-1-1-1ii−i−i1-11-11-11−i−iii-1-111i−i-111-1−ii-11-11−i−iii-1-111i−i11-1-1−iii−i
χ131-11-1-1111−ii1-1-11-1-1-1−i−iii1-111-11-1−i−iii11-1-1−ii-111-1i−i1-1-11−i−iii-1-111−ii-1-111i−ii−i
χ141-11-1-1111−ii1-1-11-1-1-1−i−iii1-111-11-1−i−iii11-1-1−ii-111-1−ii1-11-1−i−iii11-1-1−ii11-1-1−ii−ii
χ151-11-1-1111−ii1-1-11-1-1-1−i−iii1-11-11-11ii−i−i-1-111−ii-111-1i−i-11-11ii−i−i-1-111−ii11-1-1i−i−ii
χ161-11-1-1111−ii1-1-11-1-1-1−i−iii1-11-11-11ii−i−i-1-111−ii-111-1−ii-111-1ii−i−i11-1-1−ii-1-111−iii−i
χ1722222222222222222222222200000000000022-2-2-2-200000000000000-2-200000000
χ1822222222-2-22222222-2-2-2-2222000000000000-2-2-2-2-2-2000000000000002200000000
χ192222-2-22200222222-20000-2-2-200002-22-200000022-2-20000002-22-200000000000000
χ202222-2-22200222222-20000-2-2-20000-22-2200000022-2-2000000-22-2200000000000000
χ212222-2-22200222222-20000-2-2-222-2-20000-2-2-2-200-2-222002200000000000000000000
χ222222-2-22200222222-20000-2-2-2-2-2220000222200-2-22200-2-200000000000000000000
χ232-22-22-222002-2-22-2-220000-22-200002i−2i−2i2i000000-22-220000002i−2i−2i2i00000000000000
χ242-22-22-222002-2-22-2-220000-22-20000−2i2i2i−2i000000-22-22000000−2i2i2i−2i00000000000000
χ252-22-22-222002-2-22-2-220000-22-22-2-220000-2-222002-22-2002-200000000000000000000
χ262-22-22-222002-2-22-2-220000-22-2-222-2000022-2-2002-22-200-2200000000000000000000
χ272-22-2-22222i−2i2-2-22-2-2-22i2i−2i−2i2-220000000000002i−2i2-2-2200000000000000−2i2i00000000
χ282-22-2-2222−2i2i2-2-22-2-2-2−2i−2i2i2i2-22000000000000−2i2i2-2-22000000000000002i−2i00000000
χ294444441-24411-2-21-21-2-2-2-2-2-210000000000001100002200220000-1-1-1-1000000-1-100
χ304444441-24411-2-21-21-2-2-2-2-2-21000000000000110000-2-200-2-2000011110000001100
χ314444441-2-4-411-2-21-212222-2-21000000000000-1-100002200-2-200001111000000-1-100
χ324444441-2-4-411-2-21-212222-2-21000000000000-1-10000-2-200220000-1-1-1-10000001100
χ33444444-2144-2-211-21-2111111-222222222-1-1-1-1-2-2000000-1-100-1-1-1-100000000000000
χ34444444-2144-2-211-21-2111111-2-2-2-2-2-2-2-2-21111-2-20000001100111100000000000000
χ35444444-21-4-4-2-211-21-2-1-1-1-111-22222-2-2-2-2-1-1-1-122000000-1-100111100000000000000
χ36444444-21-4-4-2-211-21-2-1-1-1-111-2-2-2-2-222221111220000001100-1-1-1-100000000000000
χ374444-4-4-2100-2-211-2123-33-3-1-1222-2-22-22-2111100000000-1-100-11-1100000000000000
χ384444-4-4-2100-2-211-2123-33-3-1-12-2-222-22-22-1-1-1-10000000011001-11-100000000000000
χ394444-4-4-2100-2-211-212-33-33-1-1222-2-2-22-22111100000000-1-1001-11-100000000000000
χ404444-4-4-2100-2-211-212-33-33-1-12-2-2222-22-2-1-1-1-1000000001100-11-1100000000000000
χ4144-4-4004400-444-4-4-40000000000000000000000000000000000000000002-22-20000
χ4244-4-4004400-444-4-4-4000000000000000000000000000000000000000000-22-220000
χ434-44-44-4-2100-22-112-1-23i−3i−3i3i-1122-2-222i−2i−2i2i11-1-100000000-1100−iii−i00000000000000
χ444-44-44-4-2100-22-112-1-23i−3i−3i3i-112-222-2−2i2i2i−2i-1-111000000001-100i−i−ii00000000000000
χ454-44-44-4-2100-22-112-1-2−3i3i3i−3i-1122-2-22−2i2i2i−2i11-1-100000000-1100i−i−ii00000000000000
χ464-44-44-4-2100-22-112-1-2−3i3i3i−3i-112-222-22i−2i−2i2i-1-111000000001-100−iii−i00000000000000
χ474-44-4-441-24i−4i1-12-2-12-1−2i−2i2i2i-221000000000000i−i00002i−2i002-20000-1-111000000−ii00
χ484-44-4-441-24i−4i1-12-2-12-1−2i−2i2i2i-221000000000000i−i0000−2i2i00-22000011-1-1000000i−i00
χ494-44-4-441-2−4i4i1-12-2-12-12i2i−2i−2i-221000000000000−ii00002i−2i00-22000011-1-1000000−ii00
χ504-44-4-441-2−4i4i1-12-2-12-12i2i−2i−2i-221000000000000−ii0000−2i2i002-20000-1-111000000i−i00
χ514-44-4-44-214i−4i-22-112-12ii−i−i1-1-22-22-22i2i−2i−2i-1-111−2i2i000000-1100−i−iii00000000000000
χ524-44-4-44-214i−4i-22-112-12ii−i−i1-1-2-22-22−2i−2i2i2i11-1-1−2i2i0000001-100ii−i−i00000000000000
χ534-44-4-44-21−4i4i-22-112-12−i−iii1-1-22-22-2−2i−2i2i2i-1-1112i−2i000000-1100ii−i−i00000000000000
χ544-44-4-44-21−4i4i-22-112-12−i−iii1-1-2-22-222i2i−2i−2i11-1-12i−2i0000001-100−i−iii00000000000000
χ554-4-44004400-4-4-4-4440000000000000000000000000000000000000000002-2-220000
χ564-4-44004400-4-4-4-444000000000000000000000000000000000000000000-222-20000
χ578888-8-82-40022-4-42-4-2000044-2000000000000000000000000000000000000000000
χ5888-8-8002-400-22-44-240000000000000000000000000000000000006−66−60000000000
χ5988-8-8002-400-22-44-24000000000000000000000000000000000000−66−660000000000
χ6088-8-800-42004-42-24-2000000000000000023−2323−23000000000000000000000000000000
χ6188-8-800-42004-42-24-20000000000000000−2323−2323000000000000000000000000000000
χ628-88-88-82-4002-24-4-24200004-4-2000000000000000000000000000000000000000000
χ638-8-88002-400-2-2442-40000000000000000000000000000000000006−6−660000000000
χ648-8-88002-400-2-2442-4000000000000000000000000000000000000−666−60000000000
χ658-8-8800-420044-2-2-42000000000000000023−23−2323000000000000000000000000000000
χ668-8-8800-420044-2-2-420000000000000000−232323−23000000000000000000000000000000

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