Finite Group Databasebeta

← Group #11712791

Character table — Group #11712791

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11233333366666662424242424242424323232321123333336666666242424242424242432323232
order124224444444444444448888361212224224444444444444448888661212
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111
χ311-1111111-111-1-1-1-11-11-111-1-111-1-111-1111111-111-1-1-1-11-11-111-1-111-1-1
χ411-1111111-111-1-1-1-1-11-11-1-11111-1-111-1111111-111-1-1-1-1-11-11-1-11111-1-1
χ5222222222222222200000000-1-1-1-1222222222222222200000000-1-1-1-1
χ622-2222222-222-2-2-2-200000000-1-11122-2222222-222-2-2-2-200000000-1-111
χ72-202-222-2-202-20000000000002-2002-202-222-2-202-20000000000002-200
χ82-202-222-2-202-2000000000000-113−32-202-222-2-202-2000000000000-113−3
χ92-202-222-2-202-2000000000000-11−332-202-222-2-202-2000000000000-11−33
χ1033333-1-1-1-13-1-1-1-1-1-11111-1-1-1-1000033333-1-1-1-13-1-1-1-1-1-11111-1-1-1-10000
χ1133333-1-1-1-13-1-1-1-1-1-1-1-1-1-11111000033333-1-1-1-13-1-1-1-1-1-1-1-1-1-111110000
χ12333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i11-1-1i−ii−i0000333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i11-1-1i−ii−i0000
χ13333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-111−ii−ii0000333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-111−ii−ii0000
χ14333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i11-1-1−ii−ii0000333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i11-1-1−ii−ii0000
χ15333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-111i−ii−i0000333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-111i−ii−i0000
χ1633-333-1-1-1-1-3-1-111111-11-1-1-111000033-333-1-1-1-1-3-1-111111-11-1-1-1110000
χ1733-333-1-1-1-1-3-1-11111-11-1111-1-1000033-333-1-1-1-1-3-1-11111-11-1111-1-10000
χ1833-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i1-1-11i−i−ii000033-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i1-1-11i−i−ii0000
χ1933-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i-111-1−iii−i000033-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i-111-1−iii−i0000
χ2033-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i1-1-11−iii−i000033-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i1-1-11−iii−i0000
χ2133-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i-111-1i−i−ii000033-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i-111-1i−i−ii0000
χ22666-2-22222-2-2-2-2-222000000000000666-2-22222-2-2-2-2-222000000000000
χ2366-6-2-222222-2-222-2-200000000000066-6-2-222222-2-222-2-2000000000000
χ246-606-6-2-2220-2200000000000000006-606-6-2-2220-220000000000000000
χ256-60-2222-2-20-224-4000000000000006-60-2222-2-20-224-400000000000000
χ266-60-2222-2-20-22-44000000000000006-60-2222-2-20-22-4400000000000000
χ276-60-22−2+4i−2−4i2−4i2+4i02-200000000000000006-60-22−2+4i−2−4i2−4i2+4i02-20000000000000000
χ286-60-22−2−4i−2+4i2+4i2−4i02-200000000000000006-60-22−2−4i−2+4i2+4i2−4i02-20000000000000000
χ291111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ301111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ3111-1111111-111-1-1-1-11-11-111-1-111-1-1-1-11-1-1-1-1-1-11-1-11111-11-11-1-111-1-111
χ3211-1111111-111-1-1-1-1-11-11-1-11111-1-1-1-11-1-1-1-1-1-11-1-111111-11-111-1-1-1-111
χ33222222222222222200000000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000001111
χ3422-2222222-222-2-2-2-200000000-1-111-2-22-2-2-2-2-2-22-2-222220000000011-1-1
χ352-202-222-2-202-20000000000002-200-220-22-2-2220-22000000000000-2200
χ362-202-222-2-202-2000000000000-113−3-220-22-2-2220-220000000000001-1−33
χ372-202-222-2-202-2000000000000-11−33-220-22-2-2220-220000000000001-13−3
χ3833333-1-1-1-13-1-1-1-1-1-11111-1-1-1-10000-3-3-3-3-31111-3111111-1-1-1-111110000
χ3933333-1-1-1-13-1-1-1-1-1-1-1-1-1-111110000-3-3-3-3-31111-31111111111-1-1-1-10000
χ40333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i11-1-1i−ii−i0000-3-3-3111−2i1+2i1−2i1+2i1-1-1-1-11−2i1+2i-1-111−ii−ii0000
χ41333-1-1−1+2i−1−2i−1+2i−1−2i-11111−1+2i−1−2i-1-111−ii−ii0000-3-3-3111−2i1+2i1−2i1+2i1-1-1-1-11−2i1+2i11-1-1i−ii−i0000
χ42333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i11-1-1−ii−ii0000-3-3-3111+2i1−2i1+2i1−2i1-1-1-1-11+2i1−2i-1-111i−ii−i0000
χ43333-1-1−1−2i−1+2i−1−2i−1+2i-11111−1−2i−1+2i-1-111i−ii−i0000-3-3-3111+2i1−2i1+2i1−2i1-1-1-1-11+2i1−2i11-1-1−ii−ii0000
χ4433-333-1-1-1-1-3-1-111111-11-1-1-1110000-3-33-3-31111311-1-1-1-1-11-1111-1-10000
χ4533-333-1-1-1-1-3-1-11111-11-1111-1-10000-3-33-3-31111311-1-1-1-11-11-1-1-1110000
χ4633-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i1-1-11i−i−ii0000-3-33111−2i1+2i1−2i1+2i-1-1-111−1+2i−1−2i-111-1−iii−i0000
χ4733-3-1-1−1+2i−1−2i−1+2i−1−2i111-1-11−2i1+2i-111-1−iii−i0000-3-33111−2i1+2i1−2i1+2i-1-1-111−1+2i−1−2i1-1-11i−i−ii0000
χ4833-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i1-1-11−iii−i0000-3-33111+2i1−2i1+2i1−2i-1-1-111−1−2i−1+2i-111-1i−i−ii0000
χ4933-3-1-1−1−2i−1+2i−1−2i−1+2i111-1-11+2i1−2i-111-1i−i−ii0000-3-33111+2i1−2i1+2i1−2i-1-1-111−1−2i−1+2i1-1-11−iii−i0000
χ50666-2-22222-2-2-2-2-222000000000000-6-6-622-2-2-2-222222-2-2000000000000
χ5166-6-2-222222-2-222-2-2000000000000-6-6622-2-2-2-2-222-2-222000000000000
χ526-606-6-2-2220-220000000000000000-660-6622-2-202-20000000000000000
χ536-60-2222-2-20-224-400000000000000-6602-2-2-22202-2-4400000000000000
χ546-60-2222-2-20-22-4400000000000000-6602-2-2-22202-24-400000000000000
χ556-60-22−2+4i−2−4i2−4i2+4i02-20000000000000000-6602-22−4i2+4i−2+4i−2−4i0-220000000000000000
χ566-60-22−2−4i−2+4i2+4i2−4i02-20000000000000000-6602-22+4i2−4i−2−4i−2+4i0-220000000000000000

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