Finite Group Databasebeta

← Group #11796836

Character table — Group #11796836

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size112222244444444488888888888899181818181824242424242424243636363636363636364848484848484848
order122448833666681212612121224242424242424242224488224444448161616161616161666121212121212
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111
χ311111111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1
χ511111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-111-1-111111-1-1-1-11-111-1-11-1
χ611111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111-1-1-1-111111-1-1-1111-1
χ711111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-11-1-1-1-11111-1111-1-1-11
χ811111-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-11111111-1-1-1-1-11-1-111-11
χ911-1-1111111-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-11i−ii−i1ii−i−iii−i−i1-1i−ii−i-11
χ1011-1-1111111-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1-1-11-1-11−ii−ii1−i−iii−i−iii1-1−ii−ii-11
χ1111-1-1111111-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1i−ii−i1−i−iii−i−iii-11i−ii−i1-1
χ1211-1-1111111-1-11-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1−ii−ii1ii−i−iii−i−i-11−ii−ii1-1
χ1311-1-11-1-1111-1-111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1i−i−ii1ii−i−i−i−iii11i−i−ii-1-1
χ1411-1-11-1-1111-1-111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-1−iii−i1−i−iiiii−i−i11−iii−i-1-1
χ1511-1-11-1-1111-1-111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-111i−i−ii1−i−iiiii−i−i-1-1i−i−ii11
χ1611-1-11-1-1111-1-111-1-1-1-111-1-1-1-1111111-1-11-1-1-1-111−iii−i1ii−i−i−i−iii-1-1−iii−i11
χ172222222222222222222222222222-2-2-2-2-2-2-200000000-20000000000000000
χ1822222-2-2222222-2222222-2-2-2-2-2-2-2-222222-2-200000000-20000000000000000
χ19222-2-2002222220-2-22-2-2-200000000222-2-2000000000002−22−22−22−200000000
χ20222-2-2002222220-2-22-2-2-200000000222-2-200000000000−22−22−22−2200000000
χ21222-2-2002222220-2-22-2-2-200000000-2-2-222000000000002−22−2−22−2200000000
χ22222-2-2002222220-2-22-2-2-200000000-2-2-22200000000000−22−222−22−200000000
χ2322-22-200222-2-22022-22-2-20000000022-22-200000000000i2−i2−i2i2−i2i2i2−i200000000
χ2422-22-200222-2-22022-22-2-20000000022-22-200000000000−i2i2i2−i2i2−i2−i2i200000000
χ2522-22-200222-2-22022-22-2-200000000-2-22-2200000000000i2−i2−i2i2i2−i2−i2i200000000
χ2622-22-200222-2-22022-22-2-200000000-2-22-2200000000000−i2i2i2−i2−i2i2i2−i200000000
χ2722-2-2222222-2-22-2-2-2-2-2222222-2-2-2-222-2-222200000000-20000000000000000
χ2822-2-22-2-2222-2-222-2-2-2-222-2-2-2-22222-2-222-22200000000-20000000000000000
χ2944444441-2111-24-2-2-211-211-2-211-2-200000000000222200000000000-1-1-1-100
χ3044444441-2111-24-2-2-211-211-2-211-2-200000000000-2-2-2-200000000000111100
χ314444444-21-2-2-214111-2-21-2-211-2-211000000022220000000000000-1-10000-1-1
χ324444444-21-2-2-214111-2-21-2-211-2-2110000000-2-2-2-2000000000000011000011
χ3344444-4-41-2111-2-4-2-2-211-2-1-122-1-1220000000000022-2-200000000000-1-11100
χ3444444-4-41-2111-2-4-2-2-211-2-1-122-1-12200000000000-2-2220000000000011-1-100
χ3544444-4-4-21-2-2-21-4111-2-2122-1-122-1-100000002-22-20000000000000-110000-11
χ3644444-4-4-21-2-2-21-4111-2-2122-1-122-1-10000000-22-2200000000000001-100001-1
χ3744-4-44441-21-1-1-2-4222-11-211-2-2-1-122000000000002i−2i2i−2i00000000000−ii−ii00
χ3844-4-44441-21-1-1-2-4222-11-211-2-2-1-12200000000000−2i2i−2i2i00000000000i−ii−i00
χ3944-4-4444-21-2221-4-1-1-12-21-2-21122-1-100000002-2-220000000000000-1100001-1
χ4044-4-4444-21-2221-4-1-1-12-21-2-21122-1-10000000-222-200000000000001-10000-11
χ4144-4-44-4-41-21-1-1-24222-11-2-1-12211-2-2000000000002i−2i−2i2i00000000000−iii−i00
χ4244-4-44-4-41-21-1-1-24222-11-2-1-12211-2-200000000000−2i2i2i−2i00000000000i−i−ii00
χ4344-4-44-4-4-21-22214-1-1-12-2122-1-1-2-211000000022-2-20000000000000-1-1000011
χ4444-4-44-4-4-21-22214-1-1-12-2122-1-1-2-2110000000-2-2220000000000000110000-1-1
χ454-40002i2−2i244-400-400000002i2−2i22i2−2i200004-40002i2−2i20000000000000000000000000
χ464-40002i2−2i244-400-400000002i2−2i22i2−2i20000-44000−2i22i20000000000000000000000000
χ474-4000−2i22i244-400-40000000−2i22i2−2i22i200004-4000−2i22i20000000000000000000000000
χ484-4000−2i22i244-400-40000000−2i22i2−2i22i20000-440002i2−2i20000000000000000000000000
χ49888-8-8002-4222-4044-4-2-240000000000000000000000000000000000000000
χ50888-8-800-42-4-4-420-2-2244-20000000000000000000000000000000000000000
χ5188-88-8002-42-2-2-40-4-442-240000000000000000000000000000000000000000
χ5288-88-800-42-4442022-2-44-20000000000000000000000000000000000000000
χ538-80004i2−4i22-4-26-640000000i2−i2−2i22i23i2−3i20000000000000000000000000000000000
χ548-80004i2−4i22-4-2-6640000000i2−i2−2i22i2−3i23i20000000000000000000000000000000000
χ558-80004i2−4i2-42400-206i−6i0000−2i22i2i2−i20032−3200000000000000000000000000000000
χ568-80004i2−4i2-42400-20−6i6i0000−2i22i2i2−i200−323200000000000000000000000000000000
χ578-8000−4i24i22-4-26-640000000−i2i22i2−2i2−3i23i20000000000000000000000000000000000
χ588-8000−4i24i22-4-2-6640000000−i2i22i2−2i23i2−3i20000000000000000000000000000000000
χ598-8000−4i24i2-42400-206i−6i00002i2−2i2−i2i200−323200000000000000000000000000000000
χ608-8000−4i24i2-42400-20−6i6i00002i2−2i2−i2i20032−3200000000000000000000000000000000

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