Finite Group Databasebeta

← Group #11786020

Character table — Group #11786020

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222244444444488888888888899181818181824242424242424243636363636363636364848484848484848
order122448833666681212612121224242424242424244422488444488884444888881212121224242424
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ511111-1-1111111-1111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-11111-1-1-1-1-111-1-111-1-1
χ611111-1-1111111-1111111-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1111111-1-1-1-111
χ711111-1-1111111-1111111-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11111-1-11111-1-1
χ811111-1-1111111-1111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1111111-1-1-1-1-1-1-111-1-111
χ911-11-11111-111-1-1-1-1-1-1111111-1-1-1-111-11-111i−ii−ii−ii−i11-1-1-111-1-1i−ii−ii−ii−i
χ1011-11-11111-111-1-1-1-1-1-1111111-1-1-1-111-11-111i−ii−i−ii−ii-1-111-1-1-111i−ii−i−ii−ii
χ1111-11-11111-111-1-1-1-1-1-1111111-1-1-1-111-11-111−ii−iii−ii−i-1-111-1-1-111−ii−iii−ii−i
χ1211-11-11111-111-1-1-1-1-1-1111111-1-1-1-111-11-111−ii−ii−ii−ii11-1-1-111-1-1−ii−ii−ii−ii
χ1311-11-1-1-111-111-11-1-1-1-111-1-1-1-1111111-11-1-1-1i−i−iii−i−ii11-1-11-1-111i−i−iii−i−ii
χ1411-11-1-1-111-111-11-1-1-1-111-1-1-1-1111111-11-1-1-1i−i−ii−iii−i-1-111111-1-1i−i−ii−iii−i
χ1511-11-1-1-111-111-11-1-1-1-111-1-1-1-1111111-11-1-1-1−iii−ii−i−ii-1-111111-1-1−iii−ii−i−ii
χ1611-11-1-1-111-111-11-1-1-1-111-1-1-1-1111111-11-1-1-1−iii−i−iii−i11-1-11-1-111−iii−i−iii−i
χ172222222222222222222222222222-2-2-2-2-2-2-2000000000000-2000000000000
χ1822222-2-2222222-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2220000000000002000000000000
χ19222-2-2002222220-2-22-2-2-20000000022-2-2200000000002i−2i2i−2i0000000000000
χ20222-2-2002222220-2-22-2-2-20000000022-2-220000000000−2i2i−2i2i0000000000000
χ21222-2-2002222220-2-22-2-2-200000000-2-222-20000000000000002i−2i2i−2i00000000
χ22222-2-2002222220-2-22-2-2-200000000-2-222-2000000000000000−2i2i−2i2i00000000
χ2322-22-22222-222-2-2-2-2-2-2222222-2-2-2-2-2-22-22-2-20000000000002000000000000
χ2422-22-2-2-222-222-22-2-2-2-222-2-2-2-22222-2-22-2222000000000000-2000000000000
χ2522-2-220022-222-2022-22-2-200000000222-2-200000000002i−2i−2i2i0000000000000
χ2622-2-220022-222-2022-22-2-200000000222-2-20000000000−2i2i2i−2i0000000000000
χ2722-2-220022-222-2022-22-2-200000000-2-2-2220000000000000002i−2i−2i2i00000000
χ2822-2-220022-222-2022-22-2-200000000-2-2-222000000000000000−2i2i2i−2i00000000
χ2944444441-211-214-2-2-211-211-2-211-2-2000000022220000000000000-1-1-1-10000
χ3044444441-211-214-2-2-211-211-2-211-2-20000000-2-2-2-2000000000000011110000
χ314444444-21-2-21-24111-2-21-2-211-2-2110000000000022220000000000000-1-1-1-1
χ324444444-21-2-21-24111-2-21-2-211-2-21100000000000-2-2-2-200000000000001111
χ3344444-4-41-211-21-4-2-2-211-2-1-122-1-122000000022-2-20000000000000-1-1110000
χ3444444-4-41-211-21-4-2-2-211-2-1-122-1-1220000000-2-222000000000000011-1-10000
χ3544444-4-4-21-2-21-2-4111-2-2122-1-122-1-10000000000022-2-20000000000000-1-111
χ3644444-4-4-21-2-21-2-4111-2-2122-1-122-1-100000000000-2-222000000000000011-1-1
χ3744-44-4441-2-11-2-1-4222-11-211-2-2-1-12200000002i−2i2i−2i0000000000000−ii−ii0000
χ3844-44-4441-2-11-2-1-4222-11-211-2-2-1-1220000000−2i2i−2i2i0000000000000i−ii−i0000
χ3944-44-444-212-212-4-1-1-12-21-2-21122-1-1000000000002i−2i2i−2i0000000000000−ii−ii
χ4044-44-444-212-212-4-1-1-12-21-2-21122-1-100000000000−2i2i−2i2i0000000000000i−ii−i
χ4144-44-4-4-41-2-11-2-14222-11-2-1-12211-2-200000002i−2i−2i2i0000000000000−iii−i0000
χ4244-44-4-4-41-2-11-2-14222-11-2-1-12211-2-20000000−2i2i2i−2i0000000000000i−i−ii0000
χ4344-44-4-4-4-212-2124-1-1-12-2122-1-1-2-211000000000002i−2i−2i2i0000000000000−iii−i
χ4444-44-4-4-4-212-2124-1-1-12-2122-1-1-2-21100000000000−2i2i2i−2i0000000000000i−i−ii
χ454-400022−22440-4-40000000022−2222−2200004i−4i0002i2−2i20000000000000000000000000
χ464-400022−22440-4-40000000022−2222−220000−4i4i000−2i22i20000000000000000000000000
χ474-4000−2222440-4-400000000−2222−222200004i−4i000−2i22i20000000000000000000000000
χ484-4000−2222440-4-400000000−2222−22220000−4i4i0002i2−2i20000000000000000000000000
χ49888-8-8002-422-42044-4-2-240000000000000000000000000000000000000000
χ50888-8-800-42-4-42-40-2-2244-20000000000000000000000000000000000000000
χ5188-8-88002-4-22-4-20-4-442-240000000000000000000000000000000000000000
χ5288-8-8800-424-424022-2-44-20000000000000000000000000000000000000000
χ538-800042−422-46-24-600000002−2−222232−320000000000000000000000000000000000
χ548-800042−422-4-6-24600000002−2−2222−32320000000000000000000000000000000000
χ558-800042−42-4204-2006i−6i0000−22222−2003i2−3i200000000000000000000000000000000
χ568-800042−42-4204-200−6i6i0000−22222−200−3i23i200000000000000000000000000000000
χ578-8000−42422-46-24-60000000−2222−22−32320000000000000000000000000000000000
χ588-8000−42422-4-6-2460000000−2222−2232−320000000000000000000000000000000000
χ598-8000−4242-4204-2006i−6i000022−22−2200−3i23i200000000000000000000000000000000
χ608-8000−4242-4204-200−6i6i000022−22−22003i2−3i200000000000000000000000000000000

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