Finite Group Databasebeta

← Group #11786594

Character table — Group #11786594

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
χ911-1-1-1111i−i-111-1-1-11-1-1ii−i−i111-1-1i−ii−iii−i−ii−i1-1-11i−i11-1-11-1i−i11-1-1i−iii−i−ii−i1-1
χ1011-1-1-1111i−i-111-1-1-11-1-1ii−i−i111-1-1i−ii−iii−i−ii−i1-1-11−ii11-1-1-11i−i-1-111i−i−i−iii−ii-11
χ1111-1-1-1111i−i-111-1-1-11-1-1ii−i−i1-1-111−ii−ii−i−iiii−i1-1-11i−i-1-1111-1−ii11-1-1i−i−i−iiii−i-11
χ1211-1-1-1111i−i-111-1-1-11-1-1ii−i−i1-1-111−ii−ii−i−iiii−i1-1-11−ii-1-111-11−ii-1-111i−iii−i−i−ii1-1
χ1311-1-1-1111−ii-111-1-1-11-1-1−i−iii111-1-1−ii−ii−i−iii−ii1-1-11i−i11-1-1-11−ii-1-111−iiii−i−ii−i-11
χ1411-1-1-1111−ii-111-1-1-11-1-1−i−iii111-1-1−ii−ii−i−iii−ii1-1-11−ii11-1-11-1−ii11-1-1−ii−i−iii−ii1-1
χ1511-1-1-1111−ii-111-1-1-11-1-1−i−iii1-1-111i−ii−iii−i−i−ii1-1-11i−i-1-111-11i−i-1-111−ii−i−iiii−i1-1
χ1611-1-1-1111−ii-111-1-1-11-1-1−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
χ2322-2-22-22200-222-2-2-2-2220000-200002i−2i−2i2i2i2i−2i−2i00-22-2200000000−2i2i00000000000000
χ2422-2-22-22200-222-2-2-2-2220000-20000−2i2i2i−2i−2i−2i2i2i00-22-22000000002i−2i00000000000000
χ2522-2-22-22200-222-2-2-2-2220000-22-2-2200000000002-22-2002-2-22000000000000000000
χ2622-2-22-22200-222-2-2-2-2220000-2-222-200000000002-22-200-222-2000000000000000000
χ2722-2-2-22222i−2i-222-2-2-22-2-22i2i−2i−2i20000000000002i−2i-222-200000000000000−2i2i00000000
χ2822-2-2-2222−2i2i-222-2-2-22-2-2−2i−2i2i2i2000000000000−2i2i-222-2000000000000002i−2i00000000
χ294444441-24411-2-2-21-21-2-2-2-2-210000000000001100002200002200-1-1-1-1000000-1-100
χ304444441-24411-2-2-21-21-2-2-2-2-21000000000000110000-2-20000-2-20011110000001100
χ314444441-2-4-411-2-2-21-21-222221000000000000-1-10000220000-2-2001111000000-1-100
χ324444441-2-4-411-2-2-21-21-222221000000000000-1-10000-2-200002200-1-1-1-10000001100
χ33444444-2144-2-2111-21-211111-222222222-1-1-1-1-2-2000000-1-1-1-100-1-100000000000000
χ34444444-2144-2-2111-21-211111-2-2-2-2-2-2-2-2-21111-2-20000001111001100000000000000
χ35444444-21-4-4-2-2111-21-21-1-1-1-1-22222-2-2-2-2111122000000-1-1-1-1001100000000000000
χ36444444-21-4-4-2-2111-21-21-1-1-1-1-2-2-2-2-22222-1-1-1-122000000111100-1-100000000000000
χ374444-4-4-2100-2-2111-2-12-13-33-322-22-222-2-2-1-1-1-100000000-11-11001100000000000000
χ384444-4-4-2100-2-2111-2-12-13-33-32-22-22-2-2221111000000001-11-100-1-100000000000000
χ394444-4-4-2100-2-2111-2-12-1-33-3322-22-2-2-222111100000000-11-1100-1-100000000000000
χ404444-4-4-2100-2-2111-2-12-1-33-332-22-2222-2-2-1-1-1-1000000001-11-1001100000000000000
χ4144-4-44-4-21002-21-1-12-1-213i−3i−3i3i22-2-222i−2i−2i2i−i−iii00000000-111-100i−i00000000000000
χ4244-4-44-4-21002-21-1-12-1-213i−3i−3i3i2-222-2−2i2i2i−2iii−i−i000000001-1-1100−ii00000000000000
χ4344-4-44-4-21002-21-1-12-1-21−3i3i3i−3i22-2-22−2i2i2i−2iii−i−i00000000-111-100−ii00000000000000
χ4444-4-44-4-21002-21-1-12-1-21−3i3i3i−3i2-222-22i−2i−2i2i−i−iii000000001-1-1100i−i00000000000000
χ4544-4-4-441-24i−4i-11-222-1-2-12−2i−2i2i2i1000000000000i−i00002i−2i00002-200-1-111000000−ii00
χ4644-4-4-441-24i−4i-11-222-1-2-12−2i−2i2i2i1000000000000i−i0000−2i2i0000-220011-1-1000000i−i00
χ4744-4-4-441-2−4i4i-11-222-1-2-122i2i−2i−2i1000000000000−ii00002i−2i0000-220011-1-1000000−ii00
χ4844-4-4-441-2−4i4i-11-222-1-2-122i2i−2i−2i1000000000000−ii0000−2i2i00002-200-1-111000000i−i00
χ4944-4-4-44-214i−4i2-21-1-1212-1ii−i−i-222-2-22i−2i2i−2i−i−iii−2i2i000000-1-11100−ii00000000000000
χ5044-4-4-44-214i−4i2-21-1-1212-1ii−i−i-2-2-222−2i2i−2i2iii−i−i−2i2i00000011-1-100i−i00000000000000
χ5144-4-4-44-21−4i4i2-21-1-1212-1−i−iii-222-2-2−2i2i−2i2iii−i−i2i−2i000000-1-11100i−i00000000000000
χ5244-4-4-44-21−4i4i2-21-1-1212-1−i−iii-2-2-2222i−2i2i−2i−i−iii2i−2i00000011-1-100−ii00000000000000
χ534-44-4004400-4-4-4-4440000000000000000000000000000000000000000002-22-20000
χ544-44-4004400-4-4-4-444000000000000000000000000000000000000000000-22-220000
χ554-4-440044004-4-44-4-40000000000000000000000000000000000000000002i−2i−2i2i0000
χ564-4-440044004-4-44-4-4000000000000000000000000000000000000000000−2i2i2i−2i0000
χ578888-8-82-40022-4-4-424-240000-2000000000000000000000000000000000000000000
χ5888-8-88-82-400-22-444-242-40000-2000000000000000000000000000000000000000000
χ598-88-8002-400-2-244-42000000000000000000000000000000000000i6−i6i6−i60000000000
χ608-88-8002-400-2-244-42000000000000000000000000000000000000−i6i6−i6i60000000000
χ618-88-800-420044-2-22-40000000000000000−2i32i3−2i32i3000000000000000000000000000000
χ628-88-800-420044-2-22-400000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ638-8-88002-4002-24-44-2000000000000000000000000000000000000i6−i6−i6i60000000000
χ648-8-88002-4002-24-44-2000000000000000000000000000000000000−i6i6i6−i60000000000
χ658-8-8800-4200-44-22-24000000000000000023−23−2323000000000000000000000000000000
χ668-8-8800-4200-44-22-240000000000000000−232323−23000000000000000000000000000000

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