Finite Group Databasebeta

← Group #11796895

Character table — Group #11796895

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222244444444488888888888899181818181824242424242424243636363636363636364848484848484848
order1224488336666812126121212242424242424242422244882222888881616161616161616666624242424
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ511111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111111-1-1-1-111-1-111-1-1
χ611111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111-1-1-1-111
χ711111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-1-1-1-11111-1-11111-1-1
χ811111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111-1-1-1-1-1-111-1-111
χ911-11-11111-1-111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-11-1i−ii−i1ii−i−iii−i−i1-11-1i−ii−i
χ1011-11-11111-1-111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-11-1−ii−ii1−i−iii−i−iii1-11-1−ii−ii
χ1111-11-11111-1-111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-11i−ii−i1−i−iii−i−iii-11-11i−ii−i
χ1211-11-11111-1-111-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-11-11−ii−ii1ii−i−iii−i−i-11-11−ii−ii
χ1311-11-1-1-111-1-1111-1-1-1-111-1-1-1-1111111-1-11-1-11-1-11i−i−ii1ii−i−i−i−iii1-1-11i−i−ii
χ1411-11-1-1-111-1-1111-1-1-1-111-1-1-1-1111111-1-11-1-11-1-11−iii−i1−i−iiiii−i−i1-1-11−iii−i
χ1511-11-1-1-111-1-1111-1-1-1-111-1-1-1-1111111-1-11-1-1-111-1i−i−ii1−i−iiiii−i−i-111-1i−i−ii
χ1611-11-1-1-111-1-1111-1-1-1-111-1-1-1-1111111-1-11-1-1-111-1−iii−i1ii−i−i−i−iii-111-1−iii−i
χ172222222222222222222222222222-2-2-2-2-2-2-200000000-20000000000000000
χ1822222-2-2222222-2222222-2-2-2-2-2-2-2-222222-2-200000000-20000000000000000
χ19222-2-2002222220-2-22-2-2-200000000222-2-200000000000i2−i2i2−i2i2−i2i2−i200000000
χ20222-2-2002222220-2-22-2-2-200000000222-2-200000000000−i2i2−i2i2−i2i2−i2i200000000
χ21222-2-2002222220-2-22-2-2-200000000-2-2-22200000000000i2−i2i2−i2−i2i2−i2i200000000
χ22222-2-2002222220-2-22-2-2-200000000-2-2-22200000000000−i2i2−i2i2i2−i2i2−i200000000
χ2322-22-22222-2-222-2-2-2-2-2222222-2-2-2-222-2-222200000000-20000000000000000
χ2422-22-2-2-222-2-2222-2-2-2-222-2-2-2-22222-2-222-22200000000-20000000000000000
χ2522-2-220022-2-222022-22-2-20000000022-22-2000000000002−2−22−222−200000000
χ2622-2-220022-2-222022-22-2-20000000022-22-200000000000−222−22−2−2200000000
χ2722-2-220022-2-222022-22-2-200000000-2-22-22000000000002−2−222−2−2200000000
χ2822-2-220022-2-222022-22-2-200000000-2-22-2200000000000−222−2−222−200000000
χ2944444441-2-2-21-24111-21-211-2-211-2-20000000000022220000000000000-1-1-1-1
χ3044444441-2-2-21-24111-21-211-2-211-2-200000000000-2-2-2-200000000000001111
χ314444444-2111-214-2-2-21-21-2-211-2-211000000022220000000000000-1-1-1-10000
χ324444444-2111-214-2-2-21-21-2-211-2-2110000000-2-2-2-2000000000000011110000
χ3344444-4-41-2-2-21-2-4111-21-2-1-122-1-1220000000000022-2-20000000000000-1-111
χ3444444-4-41-2-2-21-2-4111-21-2-1-122-1-12200000000000-2-222000000000000011-1-1
χ3544444-4-4-2111-21-4-2-2-21-2122-1-122-1-1000000022-2-20000000000000-1-1110000
χ3644444-4-4-2111-21-4-2-2-21-2122-1-122-1-10000000-2-222000000000000011-1-10000
χ3744-44-4441-2221-2-4-1-1-121-211-2-2-1-122000000000002i−2i2i−2i0000000000000−ii−ii
χ3844-44-4441-2221-2-4-1-1-121-211-2-2-1-12200000000000−2i2i−2i2i0000000000000i−ii−i
χ3944-44-444-21-1-1-21-4222-1-21-2-21122-1-100000002-22-20000000000000-11-110000
χ4044-44-444-21-1-1-21-4222-1-21-2-21122-1-10000000-22-2200000000000001-11-10000
χ4144-44-4-4-41-2221-24-1-1-121-2-1-12211-2-2000000000002i−2i−2i2i0000000000000−iii−i
χ4244-44-4-4-41-2221-24-1-1-121-2-1-12211-2-200000000000−2i2i2i−2i0000000000000i−i−ii
χ4344-44-4-4-4-21-1-1-214222-1-2122-1-1-2-21100000002-2-220000000000000-111-10000
χ4444-44-4-4-4-21-1-1-214222-1-2122-1-1-2-2110000000-222-200000000000001-1-110000
χ454-400022−224400-4-4000000022−2222−2200004-400022−220000000000000000000000000
χ464-400022−224400-4-4000000022−2222−220000-44000−22220000000000000000000000000
χ474-4000−22224400-4-40000000−2222−222200004-4000−22220000000000000000000000000
χ484-4000−22224400-4-40000000−2222−22220000-4400022−220000000000000000000000000
χ49888-8-8002-4-4-42-40-2-224-240000000000000000000000000000000000000000
χ50888-8-800-4222-42044-4-24-20000000000000000000000000000000000000000
χ5188-8-88002-4442-4022-2-4-240000000000000000000000000000000000000000
χ5288-8-8800-42-2-2-420-4-4424-20000000000000000000000000000000000000000
χ538-800042−422-400-2406i−6i00002−2−22223i2−3i20000000000000000000000000000000000
χ548-800042−422-400-240−6i6i00002−2−2222−3i23i20000000000000000000000000000000000
χ558-800042−42-426-64-20000000−22222−20032−3200000000000000000000000000000000
χ568-800042−42-42-664-20000000−22222−200−323200000000000000000000000000000000
χ578-8000−42422-400-2406i−6i0000−2222−22−3i23i20000000000000000000000000000000000
χ588-8000−42422-400-240−6i6i0000−2222−223i2−3i20000000000000000000000000000000000
χ598-8000−4242-426-64-2000000022−22−2200−323200000000000000000000000000000000
χ608-8000−4242-42-664-2000000022−22−220032−3200000000000000000000000000000000

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