Finite Group Databasebeta

← Group #10877341

Character table — Group #10877341

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111111122222222222244444444444488888888888888888888888888888812121212161616162424242424242424242424242424
order1222222234444666666622441212121212121212444444446688881212121212121212242424242424242444441212121244444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111
χ511111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1-11-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1
χ911111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1
χ1011111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-111
χ1111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-111-1-1-111-1-1-1-111
χ1211111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-11111-1-1
χ1311111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-111
χ1411111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-111-1-1
χ1511111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-111-111-1-1-1-1-11111-1-1
χ1611111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-111
χ17222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-200000000220000000000000000000022-2-20000-20020000000000
χ18222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2000000002200000000000000000000-2-2220000200-20000000000
χ19222222222-2-2-2-22222222-2-222-2-22222-2-200000000-2-20000000000000000000022-2-20000200-20000000000
χ20222222222-2-2-2-22222222-2-222-2-22222-2-200000000-2-200000000000000000000-2-2220000-20020000000000
χ2122222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-1-1-1-100000000000000
χ2222222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-2-222-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-1111111110000111100000000000000
χ2322222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-222-2-222-1-1-2-2-2-211111111111111110000-1-1-1-100000000000000
χ2422222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1222211111111-1-1-1-1-1-1-1-10000111100000000000000
χ2522222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-12222-2-2-2-21122-2-2-1-1-1-11111-1-1-1-111110000-1-11100000000000000
χ2622222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-122-2-2-2-22211-2-222-1-1-1-111111111-1-1-1-1000011-1-100000000000000
χ2722222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-1-2-22222-2-211-2-2221111-1-1-1-11111-1-1-1-10000-1-11100000000000000
χ2822222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-11111-1-1-2-2-2-222221122-2-21111-1-1-1-1-1-1-1-11111000011-1-100000000000000
χ2922-22-22-2-2222-2-222-22-2-2-22-22-22222-2-2-2-2000000002-2000000000000000000000000000002-202-200000000
χ3022-22-22-2-2222-2-222-22-2-2-22-22-22222-2-2-2-2000000002-200000000000000000000000000000-220-2200000000
χ3122-22-22-2-2222-2-222-22-2-2-2-22-2222-2-222-2-200000000-22000000000000000000000000000002-20-2200000000
χ3222-22-22-2-2222-2-222-22-2-2-2-22-2222-2-222-2-200000000-2200000000000000000000000000000-2202-200000000
χ3322-22-22-2-22-2-22222-22-2-2-22-2-22-2-2-2-22222002i−2i002i−2i2-20000000000000000000000002i−2i2i−2i00000000000000
χ3422-22-22-2-22-2-22222-22-2-2-22-2-22-2-2-2-2222200−2i2i00−2i2i2-2000000000000000000000000−2i2i−2i2i00000000000000
χ3522-22-22-2-22-2-22222-22-2-2-2-222-2-2-222-2-222002i−2i00−2i2i-220000000000000000000000002i−2i−2i2i00000000000000
χ3622-22-22-2-22-2-22222-22-2-2-2-222-2-2-222-2-22200−2i2i002i−2i-22000000000000000000000000−2i2i2i−2i00000000000000
χ3722-22-22-2-2-1-2-222-1-11-11112-2-221111-1-1-1-1002i−2i002i−2i-11000033−3−333−3−3−i3−i3i3i3−i3−i3i3i30000−ii−ii00000000000000
χ3822-22-22-2-2-1-2-222-1-11-11112-2-221111-1-1-1-1002i−2i002i−2i-110000−3−333−3−333i3i3−i3−i3i3i3−i3−i30000−ii−ii00000000000000
χ3922-22-22-2-2-1-2-222-1-11-11112-2-221111-1-1-1-100−2i2i00−2i2i-11000033−3−333−3−3i3i3−i3−i3i3i3−i3−i30000i−ii−i00000000000000
χ4022-22-22-2-2-1-2-222-1-11-11112-2-221111-1-1-1-100−2i2i00−2i2i-110000−3−333−3−333−i3−i3i3i3−i3−i3i3i30000i−ii−i00000000000000
χ4122-22-22-2-2-1-2-222-1-11-1111-222-211-1-111-1-1002i−2i00−2i2i1-1000033−3−3−3−333−i3−i3i3i3i3i3−i3−i30000−iii−i00000000000000
χ4222-22-22-2-2-1-2-222-1-11-1111-222-211-1-111-1-1002i−2i00−2i2i1-10000−3−33333−3−3i3i3−i3−i3−i3−i3i3i30000−iii−i00000000000000
χ4322-22-22-2-2-1-2-222-1-11-1111-222-211-1-111-1-100−2i2i002i−2i1-1000033−3−3−3−333i3i3−i3−i3−i3−i3i3i30000i−i−ii00000000000000
χ4422-22-22-2-2-1-2-222-1-11-1111-222-211-1-111-1-100−2i2i002i−2i1-10000−3−33333−3−3−i3−i3i3i3i3i3−i3−i30000i−i−ii00000000000000
χ452-2-2-2222-222-22-2-2-2222-2-200002-200002-200002i−2i0000000000002i−2i2i−2i000000002-22-20000000000002i−2i0000
χ462-2-2-2222-222-22-2-2-2222-2-200002-200002-200002i−2i0000000000002i−2i2i−2i00000000-22-22000000000000−2i2i0000
χ472-2-2-2222-222-22-2-2-2222-2-200002-200002-20000−2i2i000000000000−2i2i−2i2i000000002-22-2000000000000−2i2i0000
χ482-2-2-2222-222-22-2-2-2222-2-200002-200002-20000−2i2i000000000000−2i2i−2i2i00000000-22-220000000000002i−2i0000
χ492-2-2-2222-22-22-22-2-2222-2-20000-220000-222i−2i0000000000002i−2i2i−2i0000000000002-2-2200000000002i−2i000000
χ502-2-2-2222-22-22-22-2-2222-2-20000-220000-222i−2i0000000000002i−2i2i−2i000000000000-222-20000000000−2i2i000000
χ512-2-2-2222-22-22-22-2-2222-2-20000-220000-22−2i2i000000000000−2i2i−2i2i0000000000002-2-220000000000−2i2i000000
χ522-2-2-2222-22-22-22-2-2222-2-20000-220000-22−2i2i000000000000−2i2i−2i2i000000000000-222-200000000002i−2i000000
χ5344444444-2-4-4-4-4-2-2-2-2-2-2-244-4-42222222200000000-2-2000000000000000000000000000000000000000000
χ5444444444-2-4-4-4-4-2-2-2-2-2-2-2-4-44422-2-2-2-2220000000022000000000000000000000000000000000000000000
χ55444-4-4-44-4400004-4-4-444-4000000000000000000000022−22000000000022−2222−2200000000000000000000000000
χ56444-4-4-44-4400004-4-4-444-40000000000000000000000−22220000000000−2222−222200000000000000000000000000
χ57444-4-4-44-4-20000-2222-2-2200000023−2323−2300000000000022−220000000000−22−226−66−60000000000000000000000
χ58444-4-4-44-4-20000-2222-2-2200000023−2323−23000000000000−222200000000002−22−2−66−660000000000000000000000
χ59444-4-4-44-4-20000-2222-2-22000000−2323−232300000000000022−220000000000−22−22−66−660000000000000000000000
χ60444-4-4-44-4-20000-2222-2-22000000−2323−2323000000000000−222200000000002−22−26−66−60000000000000000000000
χ6144-44-44-4-4-244-4-4-2-22-22224-44-4-2-2-2-2222200000000-22000000000000000000000000000000000000000000
χ6244-44-44-4-4-244-4-4-2-22-2222-44-44-2-222-2-222000000002-2000000000000000000000000000000000000000000
χ6344-4-44-4-44400004-44-4-4-44000000000000000000000000−2i22i2000000000000−2i22i22i2−2i20000000000000000000000
χ6444-4-44-4-44400004-44-4-4-440000000000000000000000002i2−2i20000000000002i2−2i2−2i22i20000000000000000000000
χ6544-4-44-4-44-20000-22-2222-200000023−23−232300000000000000−2i22i200000000−i6i6i6−i6i2−i2−i2i20000000000000000000000
χ6644-4-44-4-44-20000-22-2222-200000023−23−2323000000000000002i2−2i200000000i6−i6−i6i6−i2i2i2−i20000000000000000000000
χ6744-4-44-4-44-20000-22-2222-2000000−232323−2300000000000000−2i22i200000000i6−i6−i6i6i2−i2−i2i20000000000000000000000
χ6844-4-44-4-44-20000-22-2222-2000000−232323−23000000000000002i2−2i200000000−i6i6i6−i6−i2i2i2−i20000000000000000000000
χ694-4444-4-4-440000-444-4-44-40000000000000000000000000000000000000000000000000000000000000022−22
χ704-4444-4-4-440000-444-4-44-400000000000000000000000000000000000000000000000000000000000000−2222
χ714-44-4-44-4444-4-44-4-4-44-44400004-40000-440000000000000000000000000000000000000000000000000000
χ724-44-4-44-444-444-4-4-4-44-4440000-4400004-40000000000000000000000000000000000000000000000000000
χ734-44-4-44-44-24-4-44222-22-2-20000-2200002-200000000000000−2i32i32i3−2i30000000000000000000000000000000000
χ744-44-4-44-44-24-4-44222-22-2-20000-2200002-2000000000000002i3−2i3−2i32i30000000000000000000000000000000000
χ754-44-4-44-44-2-444-4222-22-2-200002-20000-22000000000000000000−2i32i32i3−2i3000000000000000000000000000000
χ764-44-4-44-44-2-444-4222-22-2-200002-20000-220000000000000000002i3−2i3−2i32i3000000000000000000000000000000
χ774-4-44-4-44440000-44-4-44-4400000000000000000000000000000000000000000000000000000000000022−2200
χ784-4-44-4-44440000-44-4-44-44000000000000000000000000000000000000000000000000000000000000−222200
χ794-4-4-4444-4-24-44-422-2-2-2220000-220000-2200004i−4i000000000000−2i2i−2i2i000000000000000000000000000000
χ804-4-4-4444-4-24-44-422-2-2-2220000-220000-220000−4i4i0000000000002i−2i2i−2i000000000000000000000000000000
χ814-4-4-4444-4-2-44-4422-2-2-22200002-200002-24i−4i000000000000−2i2i−2i2i0000000000000000000000000000000000
χ824-4-4-4444-4-2-44-4422-2-2-22200002-200002-2−4i4i0000000000002i−2i2i−2i0000000000000000000000000000000000
χ838-8888-8-8-8-400004-4-444-440000000000000000000000000000000000000000000000000000000000000000
χ848-8-88-8-888-400004-444-44-40000000000000000000000000000000000000000000000000000000000000000

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