Finite Group Databasebeta

← Group #68985

Character table — Group #68985

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1111222222222244444444446666888888888888888812121212121224242424
order1222223444466666888812121212888844881212121224242424242424244444884488
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ71111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1
χ911-1-11-11-1-111-11-11-1ii−i−i1-11-111-1-1i−i1-1ii−i−iii−i−i11-1-1i−ii−i1-1i−i1-1
χ1011-1-11-11-1-111-11-11-1ii−i−i1-11-111-1-1−ii-11−i−iiiii−i−i-1-111i−ii−i1-1−ii-11
χ1111-1-11-11-1-111-11-11-1ii−i−i1-11-1-1-111i−i1-1ii−i−iii−i−i11-1-1−ii−ii-11−ii-11
χ1211-1-11-11-1-111-11-11-1ii−i−i1-11-1-1-111−ii-11−i−iiiii−i−i-1-111−ii−ii-11i−i1-1
χ1311-1-11-11-1-111-11-11-1−i−iii1-11-111-1-1i−i-11ii−i−i−i−iii-1-111−ii−ii1-1i−i-11
χ1411-1-11-11-1-111-11-11-1−i−iii1-11-111-1-1−ii1-1−i−iii−i−iii11-1-1−ii−ii1-1−ii1-1
χ1511-1-11-11-1-111-11-11-1−i−iii1-11-1-1-111i−i-11ii−i−i−i−iii-1-111i−ii−i-11−ii1-1
χ1611-1-11-11-1-111-11-11-1−i−iii1-11-1-1-111−ii1-1−i−iii−i−iii11-1-1i−ii−i-11i−i-11
χ172222222-2-2-2-2222222i−2i2i−2i-2-2-2-20000000000002i−2i2i−2i00000000000000
χ182222222-2-2-2-222222−2i2i−2i2i-2-2-2-2000000000000−2i2i−2i2i00000000000000
χ19222222-12222-1-1-1-1-12222-1-1-1-100002222-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ20222222-12222-1-1-1-1-12222-1-1-1-10000-2-2-2-21111-1-1-1-111110000000000
χ21222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-1000022-2-2-1-1-1-1111111110000000000
χ22222222-12222-1-1-1-1-1-2-2-2-2-1-1-1-10000-2-22211111111-1-1-1-10000000000
χ23222222-1-2-2-2-2-1-1-1-1-12i−2i2i−2i111100000000−i3i3−i3i3−ii−ii3−33−30000000000
χ24222222-1-2-2-2-2-1-1-1-1-12i−2i2i−2i111100000000i3−i3i3−i3−ii−ii−33−330000000000
χ25222222-1-2-2-2-2-1-1-1-1-1−2i2i−2i2i111100000000−i3i3−i3i3i−ii−i−33−330000000000
χ26222222-1-2-2-2-2-1-1-1-1-1−2i2i−2i2i111100000000i3−i3i3−i3i−ii−i3−33−30000000000
χ272222-2-222-2-22222-2-20000-222-20000000000000000000022-2-2000000
χ282222-2-222-2-22222-2-20000-222-200000000000000000000-2-222000000
χ292222-2-22-222-2222-2-200002-2-22222200000000000000000000-2-20000
χ302222-2-22-222-2222-2-200002-2-22-2-2-2-200000000000000000000220000
χ3122-2-22-2222-2-2-22-22-22-2-22-22-220000000000002-2-2200000000000000
χ3222-2-22-2222-2-2-22-22-2-222-2-22-22000000000000-222-200000000000000
χ3322-2-22-2-122-2-21-11-112-2-221-11-1000000003−3−33-111-1−333−30000000000
χ3422-2-22-2-122-2-21-11-112-2-221-11-100000000−333−3-111-13−3−330000000000
χ3522-2-22-2-122-2-21-11-11-222-21-11-1000000003−3−331-1-113−3−330000000000
χ3622-2-22-2-122-2-21-11-11-222-21-11-100000000−333−31-1-11−333−30000000000
χ3722-2-22-2-1-2-2221-11-112i2i−2i−2i-11-1100002i−2i2-2−i−iii−i−iii-1-1110000000000
χ3822-2-22-2-1-2-2221-11-112i2i−2i−2i-11-110000−2i2i-22ii−i−i−i−iii11-1-10000000000
χ3922-2-22-2-1-2-2221-11-11−2i−2i2i2i-11-1100002i−2i-22−i−iiiii−i−i11-1-10000000000
χ4022-2-22-2-1-2-2221-11-11−2i−2i2i2i-11-110000−2i2i2-2ii−i−iii−i−i-1-1110000000000
χ4122-2-2-2222-22-2-22-2-22000022-2-222-2-200000000000000000000-220000
χ4222-2-2-2222-22-2-22-2-22000022-2-2-2-222000000000000000000002-20000
χ4322-2-2-222-22-22-22-2-220000-2-222000000000000000000002i−2i−2i2i000000
χ4422-2-2-222-22-22-22-2-220000-2-22200000000000000000000−2i2i2i−2i000000
χ454444-4-4-24-4-44-2-2-22200002-2-22000000000000000000000000000000
χ464444-4-4-2-444-4-2-2-2220000-222-2000000000000000000000000000000
χ4744-4-4-44-24-44-42-222-20000-2-222000000000000000000000000000000
χ4844-4-4-44-2-44-442-222-2000022-2-2000000000000000000000000000000
χ494-44-400400004-4-4000000000022−2222−2200000000000000000000000000
χ504-44-400400004-4-40000000000−2222−222200000000000000000000000000
χ514-4-440040000-4-44000000000022−22−222200000000000000000000000000
χ524-4-440040000-4-440000000000−222222−2200000000000000000000000000
χ538-88-800-40000-4440000000000000000000000000000000000000000
χ548-8-8800-4000044-40000000000000000000000000000000000000000

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