Finite Group Databasebeta

← Group #11786707

Character table — Group #11786707

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size111122444444444488888888121212121212121212121212161618181818242424242424242424242424242436363636363648487272
order1222443344666666121212121212121222444444666612122244448812121212121224242424444444121288
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
χ911-1-1-1111i−i-1-111-1-1-11-1ii−i−i11-11-1ii−i−i11-1-1i−i-111-1i−i1-11-1ii−i−i11-1-1i−i11-1-1i−ii−i
χ1011-1-1-1111i−i-1-111-1-1-11-1ii−i−i11-11-1ii−i−i11-1-1i−i-111-1−ii-111-1ii−i−i-1-111i−i-1-111−ii−ii
χ1111-1-1-1111i−i-1-111-1-1-11-1ii−i−i1-11-11−i−iii-1-111i−i-111-1i−i1-1-11−i−iii11-1-1i−i-1-111i−i−ii
χ1211-1-1-1111i−i-1-111-1-1-11-1ii−i−i1-11-11−i−iii-1-111i−i-111-1−ii-11-11−i−iii-1-111i−i11-1-1−iii−i
χ1311-1-1-1111−ii-1-111-1-1-11-1−i−iii11-11-1−i−iii11-1-1−ii-111-1i−i-111-1−i−iii-1-111−ii-1-111i−ii−i
χ1411-1-1-1111−ii-1-111-1-1-11-1−i−iii11-11-1−i−iii11-1-1−ii-111-1−ii1-11-1−i−iii11-1-1−ii11-1-1−ii−ii
χ1511-1-1-1111−ii-1-111-1-1-11-1−i−iii1-11-11ii−i−i-1-111−ii-111-1i−i-11-11ii−i−i-1-111−ii11-1-1i−i−ii
χ1611-1-1-1111−ii-1-111-1-1-11-1−i−iii1-11-11ii−i−i-1-111−ii-111-1−ii1-1-11ii−i−i11-1-1−ii-1-111−iii−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
χ2322-2-22-22200-2-222-2-22-220000-200002i−2i−2i2i000000-22-220000002i−2i−2i2i00000000000000
χ2422-2-22-22200-2-222-2-22-220000-20000−2i2i2i−2i000000-22-22000000−2i2i2i−2i00000000000000
χ2522-2-22-22200-2-222-2-22-220000-22-2-22000022-2-2002-22-20000-22000000000000000000
χ2622-2-22-22200-2-222-2-22-220000-2-222-20000-2-222002-22-200002-2000000000000000000
χ2722-2-2-22222i−2i-2-222-2-2-22-22i2i−2i−2i20000000000002i−2i2-2-2200000000000000−2i2i00000000
χ2822-2-2-2222−2i2i-2-222-2-2-22-2−2i−2i2i2i2000000000000−2i2i2-2-22000000000000002i−2i00000000
χ294444441-2441-21-21-21-2-2-2-2-2-210000000000001100002222000000-1-1-1-1000000-1-100
χ304444441-2441-21-21-21-2-2-2-2-2-21000000000000110000-2-2-2-200000011110000001100
χ314444441-2-4-41-21-21-21-2-222221000000000000-1-1000022-2-20000001111000000-1-100
χ324444441-2-4-41-21-21-21-2-222221000000000000-1-10000-2-222000000-1-1-1-10000001100
χ33444444-2144-21-21-21-2111111-222222222-1-1-1-1-2-200000000-1-1-1-1-1-100000000000000
χ34444444-2144-21-21-21-2111111-2-2-2-2-2-2-2-2-21111-2-20000000011111100000000000000
χ35444444-21-4-4-21-21-21-211-1-1-1-1-22222-2-2-2-2-1-1-1-12200000000-1-1111100000000000000
χ36444444-21-4-4-21-21-21-211-1-1-1-1-2-2-2-2-222221111220000000011-1-1-1-100000000000000
χ374444-4-4-2100-21-21-212-1-13-33-3222-2-22-22-2-1-1-1-1000000000011-11-1100000000000000
χ384444-4-4-2100-21-21-212-1-13-33-32-2-222-22-2211110000000000-1-11-11-100000000000000
χ394444-4-4-2100-21-21-212-1-1-33-33222-2-2-22-22-1-1-1-10000000000111-11-100000000000000
χ404444-4-4-2100-21-21-212-1-1-33-332-2-2222-22-211110000000000-1-1-11-1100000000000000
χ4144-4-44-4-21002-1-212-1-2-113i−3i−3i3i22-2-222i−2i−2i2i-1-11100000000001-1−iii−i00000000000000
χ4244-4-44-4-21002-1-212-1-2-113i−3i−3i3i2-222-2−2i2i2i−2i11-1-10000000000-11i−i−ii00000000000000
χ4344-4-44-4-21002-1-212-1-2-11−3i3i3i−3i22-2-22−2i2i2i−2i-1-11100000000001-1i−i−ii00000000000000
χ4444-4-44-4-21002-1-212-1-2-11−3i3i3i−3i2-222-22i−2i−2i2i11-1-10000000000-11−iii−i00000000000000
χ4544-4-4-441-24i−4i-121-2-12-1-22−2i−2i2i2i1000000000000i−i00002i−2i2-2000000-1-111000000−ii00
χ4644-4-4-441-24i−4i-121-2-12-1-22−2i−2i2i2i1000000000000i−i0000−2i2i-2200000011-1-1000000i−i00
χ4744-4-4-441-2−4i4i-121-2-12-1-222i2i−2i−2i1000000000000−ii00002i−2i-2200000011-1-1000000−ii00
χ4844-4-4-441-2−4i4i-121-2-12-1-222i2i−2i−2i1000000000000−ii0000−2i2i2-2000000-1-111000000i−i00
χ4944-4-4-44-214i−4i2-1-212-121-1ii−i−i-22-22-22i2i−2i−2i-1-111−2i2i00000000-11−i−iii00000000000000
χ5044-4-4-44-214i−4i2-1-212-121-1ii−i−i-2-22-22−2i−2i2i2i11-1-1−2i2i000000001-1ii−i−i00000000000000
χ5144-4-4-44-21−4i4i2-1-212-121-1−i−iii-22-22-2−2i−2i2i2i-1-1112i−2i00000000-11ii−i−i00000000000000
χ5244-4-4-44-21−4i4i2-1-212-121-1−i−iii-2-22-222i2i−2i−2i11-1-12i−2i000000001-1−i−iii00000000000000
χ534-44-400440044-4-4-4-40000000000000000000000000000000000000000002-22-20000
χ544-44-400440044-4-4-4-4000000000000000000000000000000000000000000-22-220000
χ554-4-44004400-4-4-4-4440000000000000000000000000000000000000000002-2-220000
χ564-4-44004400-4-4-4-444000000000000000000000000000000000000000000-222-20000
χ578888-8-82-4002-42-42-4-2440000-2000000000000000000000000000000000000000000
χ5888-8-88-82-400-242-4-2424-40000-2000000000000000000000000000000000000000000
χ598-88-8002-4002-4-24-24000000000000000000000000000000000000i6−i6i6−i60000000000
χ608-88-8002-4002-4-24-24000000000000000000000000000000000000−i6i6−i6i60000000000
χ618-88-800-4200-424-24-20000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ628-88-800-4200-424-24-200000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ638-8-88002-400-24-242-4000000000000000000000000000000000000i6−i6−i6i60000000000
χ648-8-88002-400-24-242-4000000000000000000000000000000000000−i6i6i6−i60000000000
χ658-8-8800-42004-24-2-420000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ668-8-8800-42004-24-2-4200000000000000002i3−2i3−2i32i3000000000000000000000000000000

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