Finite Group Databasebeta

← Group #11787085

Character table — Group #11787085

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111224444444444444444448888888812121212121212121212121218181818242424242424242424242424242424242424363672727272
order122222334466666666661212121266121212121212224444444444222244661212121212121212121212121212444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1
χ611111111-1-11111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ811111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ911-1-1-1111i−i11-1-1-11-1-11-1ii−i−i1-1i−iii−i−i1-11-1i−iii−i−ii−i1-11-11-11-11-1i−ii−i11-1-1ii−i−ii−ii−i1-1
χ1011-1-1-1111i−i11-1-1-11-1-11-1ii−i−i1-1i−iii−i−i1-11-1i−i−i−iiii−i1-11-1-111-11-1i−ii−i-1-111−i−iiii−i−ii-11
χ1111-1-1-1111i−i11-1-1-11-1-11-1ii−i−i1-1i−iii−i−i-11-11−iiii−i−i−ii1-11-11-1-11-11−ii−ii11-1-1ii−i−ii−i−ii-11
χ1211-1-1-1111i−i11-1-1-11-1-11-1ii−i−i1-1i−iii−i−i-11-11−ii−i−iii−ii1-11-1-11-11-11−ii−ii-1-111−i−iiii−ii−i1-1
χ1311-1-1-1111−ii11-1-1-11-1-11-1−i−iii1-1−ii−i−iii1-11-1−iiii−i−i−ii1-11-1-111-11-1−ii−ii-1-111ii−i−i−iii−i-11
χ1411-1-1-1111−ii11-1-1-11-1-11-1−i−iii1-1−ii−i−iii1-11-1−ii−i−iii−ii1-11-11-11-11-1−ii−ii11-1-1−i−iii−ii−ii1-1
χ1511-1-1-1111−ii11-1-1-11-1-11-1−i−iii1-1−ii−i−iii-11-11i−iii−i−ii−i1-11-1-11-11-11i−ii−i-1-111ii−i−i−ii−ii1-1
χ1611-1-1-1111−ii11-1-1-11-1-11-1−i−iii1-1−ii−i−iii-11-11i−i−i−iiii−i1-11-11-1-11-11i−ii−i11-1-1−i−iii−iii−i-11
χ1722222222222222222222222222222222000000000000-2-2-2-2000000000000000000-2-20000
χ1822222222-2-22222222222-2-2-2-222-2-2-2-2-2-2000000000000-2-2-2-2000000000000000000220000
χ192222-2-222002-22-2-2222-220000-2-20000000000220000-2-2-222-2000000-2-22200000000000000
χ202222-2-222002-22-2-2222-220000-2-20000000000-2-2000022-222-200000022-2-200000000000000
χ212222-2-222002-22-2-2222-220000-2-200000022-2-2000000002-2-220022-2-2000000000000000000
χ222222-2-222002-22-2-2222-220000-2-2000000-2-222000000002-2-2200-2-222000000000000000000
χ2322-2-22-222002-2-2222-2-2-2-20000-2200000000002i−2i0000−2i2i-2-222000000−2i2i2i−2i00000000000000
χ2422-2-22-222002-2-2222-2-2-2-20000-220000000000−2i2i00002i−2i-2-2220000002i−2i−2i2i00000000000000
χ2522-2-22-222002-2-2222-2-2-2-20000-220000002-2-220000000022-2-2002-2-22000000000000000000
χ2622-2-22-222002-2-2222-2-2-2-20000-22000000-222-20000000022-2-200-222-2000000000000000000
χ2722-2-2-22222i−2i22-2-2-22-2-22-22i2i−2i−2i2-22i−2i2i2i−2i−2i000000000000-22-22000000000000000000−2i2i0000
χ2822-2-2-2222−2i2i22-2-2-22-2-22-2−2i−2i2i2i2-2−2i2i−2i−2i2i2i000000000000-22-220000000000000000002i−2i0000
χ294444441-24411111-2-2-211-2-2-2-2-2-2-2-2111100000022220000002200000000-1-1-1-1-1-1-1-1000000
χ304444441-24411111-2-2-211-2-2-2-2-2-2-2-21111000000-2-2-2-2000000-2-20000000011111111000000
χ314444441-2-4-411111-2-2-2112222-2-222-1-1-1-10000002222000000-2-2000000001111-1-1-1-1000000
χ324444441-2-4-411111-2-2-2112222-2-222-1-1-1-1000000-2-2-2-20000002200000000-1-1-1-11111000000
χ33444444-2144-2-2-2-2-2111-2-211111111-2-2-2-2222222000022000000-1-1-1-1-1-1-1-100000000000000
χ34444444-2144-2-2-2-2-2111-2-211111111-2-2-2-2-2-2-2-2-2-20000-2-20000001111111100000000000000
χ35444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-111-1-122222222-2-20000-2-2000000-1-1-1-1111100000000000000
χ36444444-21-4-4-2-2-2-2-2111-2-2-1-1-1-111-1-12222-2-2-2-2220000220000001111-1-1-1-100000000000000
χ374444-4-4-2100-22-2221112-23333-1-1-3-3000022-2-2-2-2000022000000-1-111-1-11100000000000000
χ384444-4-4-2100-22-2221112-23333-1-1-3-30000-2-222220000-2-200000011-1-111-1-100000000000000
χ394444-4-4-2100-22-2221112-2-3-3-3-3-1-133000022-2-2220000-2-2000000-1-11111-1-100000000000000
χ404444-4-4-2100-22-2221112-2-3-3-3-3-1-1330000-2-222-2-200002200000011-1-1-1-11100000000000000
χ4144-4-44-4-2100-222-2-21-1-1223i3i−3i−3i-11−3i3i00002-2-22−2i2i00002i−2i000000-111-1−iii−i00000000000000
χ4244-4-44-4-2100-222-2-21-1-1223i3i−3i−3i-11−3i3i0000-222-22i−2i0000−2i2i0000001-1-11i−i−ii00000000000000
χ4344-4-44-4-2100-222-2-21-1-122−3i−3i3i3i-113i−3i00002-2-222i−2i0000−2i2i000000-111-1i−i−ii00000000000000
χ4444-4-44-4-2100-222-2-21-1-122−3i−3i3i3i-113i−3i0000-222-2−2i2i00002i−2i0000001-1-11−iii−i00000000000000
χ4544-4-4-441-24i−4i11-1-1-1-2221-1−2i−2i2i2i-22−2i2iii−i−i0000002i2i−2i−2i0000002-200000000-1-111−i−iii000000
χ4644-4-4-441-24i−4i11-1-1-1-2221-1−2i−2i2i2i-22−2i2iii−i−i000000−2i−2i2i2i000000-220000000011-1-1ii−i−i000000
χ4744-4-4-441-2−4i4i11-1-1-1-2221-12i2i−2i−2i-222i−2i−i−iii0000002i2i−2i−2i000000-220000000011-1-1−i−iii000000
χ4844-4-4-441-2−4i4i11-1-1-1-2221-12i2i−2i−2i-222i−2i−i−iii000000−2i−2i2i2i0000002-200000000-1-111ii−i−i000000
χ4944-4-4-44-214i−4i-2-22221-1-1-22ii−i−i1-1i−i−2i−2i2i2i2-22-22i−2i00002i−2i000000-11-11−ii−ii00000000000000
χ5044-4-4-44-214i−4i-2-22221-1-1-22ii−i−i1-1i−i−2i−2i2i2i-22-22−2i2i0000−2i2i0000001-11-1i−ii−i00000000000000
χ5144-4-4-44-21−4i4i-2-22221-1-1-22−i−iii1-1−ii2i2i−2i−2i2-22-2−2i2i0000−2i2i000000-11-11i−ii−i00000000000000
χ5244-4-4-44-21−4i4i-2-22221-1-1-22−i−iii1-1−ii2i2i−2i−2i-22-222i−2i00002i−2i0000001-11-1−ii−ii00000000000000
χ534-44-4001-200-13-13-322-2-31−2i32i3−2i32i30000−i3i3−i3i30000002-22-20000000000000000−i3i3−i3i31-11-1000000
χ544-44-4001-200-13-13-322-2-31−2i32i3−2i32i30000−i3i3−i3i3000000-22-220000000000000000i3−i3i3−i3-11-11000000
χ554-44-4001-200-13-13-322-2-312i3−2i32i3−2i30000i3−i3i3−i30000002-22-20000000000000000i3−i3i3−i31-11-1000000
χ564-44-4001-200-13-13-322-2-312i3−2i32i3−2i30000i3−i3i3−i3000000-22-220000000000000000−i3i3−i3i3-11-11000000
χ574-44-4004400-40-400-4-44040000000000000000002-22-200000000000000000000-22-22000000
χ584-44-4004400-40-400-4-4404000000000000000000-22-22000000000000000000002-22-2000000
χ594-4-44001-200-131-332-22-3-123−23−232300003−3−330000002i−2i−2i2i0000000000000000−i3i3i3−i3i−i−ii000000
χ604-4-44001-200-131-332-22-3-123−23−232300003−3−33000000−2i2i2i−2i0000000000000000i3−i3−i3i3−iii−i000000
χ614-4-44001-200-131-332-22-3-1−232323−230000−333−30000002i−2i−2i2i0000000000000000i3−i3−i3i3i−i−ii000000
χ624-4-44001-200-131-332-22-3-1−232323−230000−333−3000000−2i2i2i−2i0000000000000000−i3i3i3−i3−iii−i000000
χ634-4-44004400-40400-44-40-40000000000000000002i−2i−2i2i00000000000000000000−2i2i2i−2i000000
χ644-4-44004400-40400-44-40-4000000000000000000−2i2i2i−2i000000000000000000002i−2i−2i2i000000
χ658888-8-82-4002-22-2-2-4-4-4-220000440000000000000000000000000000000000000000000000
χ6688-8-88-82-4002-2-222-444-2-200004-40000000000000000000000000000000000000000000000
χ678-88-8002-400-2-6-2-6644-4620000000000000000000000000000000000000000000000000000
χ688-88-800-420040400-2-220-4−2i32i3−2i32i300002i3−2i32i3−2i30000000000000000000000000000000000000000
χ698-88-800-420040400-2-220-42i3−2i32i3−2i30000−2i32i3−2i32i30000000000000000000000000000000000000000
χ708-8-88002-400-2-626-64-446-20000000000000000000000000000000000000000000000000000
χ718-8-8800-420040-400-22-20423−23−23230000−232323−230000000000000000000000000000000000000000
χ728-8-8800-420040-400-22-204−232323−23000023−23−23230000000000000000000000000000000000000000

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