Finite Group Databasebeta

← Group #10828734

Character table — Group #10828734

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444444466888888888888888888888888881212121616161616161624242424242424242424242448
order122222344446664444661212121244244444446688121212121212121212121212121222481212242424244444444444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111-11111-1-11-1-1-11-111-1-111-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1111-1-1-11-1-1-111-1-11
χ5111111111111111111111111-1-111111111111111111111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ7111111111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111-11-1-111-1-11
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-11-1-1-1-111-1111-1111-1-111-1
χ911111111111111-1-1-1-11111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-1-1111-1-1-1-11
χ1011111111111111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111111-1-1-111-1-1-11-1-1-11-1-11111-1
χ1111111111111111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-111-1-1-1-1-1-111-1-11111-1-1-1
χ1211111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1111
χ1311111111111111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1111-1-1-11111-1
χ1411111111111111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1111-111-1-1-1-11
χ1511111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111
χ1611111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-1111111-1-1111111-1-1-1
χ172222222-2-2-2-2222000022-2-2-2-222002-20000000000000022-2-20000-2-220000000002-2000000000
χ182222222-2-2-2-2222000022-2-2-2-22200-2200000000000000-2-2220000-2-22000000000-22000000000
χ192222222-2-2-2-2222000022-2-2-2-2-2-2002-20000000000000022-2-2000022-2000000000-22000000000
χ202222222-2-2-2-2222000022-2-2-2-2-2-200-2200000000000000-2-222000022-20000000002-2000000000
χ21222222-12222-1-1-12222-1-1-1-1-1-10022222222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10002-1-1-1-1-1-10000000000000
χ22222222-12222-1-1-12222-1-1-1-1-1-1002222-2-2-2-2-1-1-2-2-1-1-1-1-1-1-1-1-1-11111000-21111110000000000000
χ23222222-12222-1-1-12222-1-1-1-1-1-100-2-2-2-222-2-21122-1-111-1-111111111000-2-1-1-1-1110000000000000
χ24222222-12222-1-1-12222-1-1-1-1-1-100-2-2-2-2-2-22211-2-2-1-111-1-11111-1-1-1-100021111-1-10000000000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10022-2-222-2-2-1-1-2-211-1-111111111110002-1-111-1-10000000000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10022-2-2-2-222-1-12211-1-1111111-1-1-1-1000-211-1-1110000000000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-100-2-222222211-2-2111111-1-1-1-1-1-1-1-1000-2-1-111110000000000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-100-2-222-2-2-2-21122111111-1-1-1-11111000211-1-1-1-10000000000000
χ292222-2-222-2-2222222-2-2-2-22-22-222000000000000-2-20022000000002-2-20000000-2000200000000
χ302222-2-222-2-2222222-2-2-2-22-22-2-2-2000000000000-2-2002200000000-22200000002000-200000000
χ312222-2-222-2-22222-2-222-2-22-22-2220000000000002200-2-2000000002-2-200000002000-200000000
χ322222-2-222-2-22222-2-222-2-22-22-2-2-20000000000002200-2-200000000-2220000000-2000200000000
χ332222-2-22-222-22220000-2-2-22-22222-2000000220000-2-20000000000-22-200000000-200020000000
χ342222-2-22-222-22220000-2-2-22-2222-22000000-2-20000220000000000-22-2000000002000-20000000
χ352222-2-22-222-22220000-2-2-22-22-2-22-2000000220000-2-200000000002-22000000002000-20000000
χ362222-2-22-222-22220000-2-2-22-22-2-2-22000000-2-200002200000000002-2200000000-200020000000
χ3722-2-22-22-2-222-22-22i−2i2i−2i-22-222-20000002i−2i00002-22i−2i002i−2i0000000000002i−2i2-2000000000000000
χ3822-2-22-22-2-222-22-22i−2i2i−2i-22-222-2000000−2i2i0000-222i−2i002i−2i000000000000−2i2i-22000000000000000
χ3922-2-22-22-2-222-22-2−2i2i−2i2i-22-222-20000002i−2i0000-22−2i2i00−2i2i0000000000002i−2i-22000000000000000
χ4022-2-22-22-2-222-22-2−2i2i−2i2i-22-222-2000000−2i2i00002-2−2i2i00−2i2i000000000000−2i2i2-2000000000000000
χ4122-2-22-2-1-2-2221-112i−2i2i−2i1-11-1-110000002i−2i00−i3i32-2−ii−i3i3−ii3−33−3−i3−i3i3i30000−ii-113−30000000000000
χ4222-2-22-2-1-2-2221-112i−2i2i−2i1-11-1-110000002i−2i00i3−i32-2−iii3−i3−ii−33−33i3i3−i3−i30000−ii-11−330000000000000
χ4322-2-22-2-1-2-2221-112i−2i2i−2i1-11-1-11000000−2i2i00−i3i3-22−ii−i3i3−ii3−33−3i3i3−i3−i30000i−i1-1−330000000000000
χ4422-2-22-2-1-2-2221-112i−2i2i−2i1-11-1-11000000−2i2i00i3−i3-22−iii3−i3−ii−33−33−i3−i3i3i30000i−i1-13−30000000000000
χ4522-2-22-2-1-2-2221-11−2i2i−2i2i1-11-1-110000002i−2i00−i3i3-22i−i−i3i3i−i−33−33i3i3−i3−i30000−ii1-13−30000000000000
χ4622-2-22-2-1-2-2221-11−2i2i−2i2i1-11-1-110000002i−2i00i3−i3-22i−ii3−i3i−i3−33−3−i3−i3i3i30000−ii1-1−330000000000000
χ4722-2-22-2-1-2-2221-11−2i2i−2i2i1-11-1-11000000−2i2i00−i3i32-2i−i−i3i3i−i−33−33−i3−i3i3i30000i−i-11−330000000000000
χ4822-2-22-2-1-2-2221-11−2i2i−2i2i1-11-1-11000000−2i2i00i3−i32-2i−ii3−i3i−i3−33−3i3i3−i3−i30000i−i-113−30000000000000
χ4922-2-2-222-22-22-22-22i−2i−2i2i2-2-2-22200000000000000−2i2i002i−2i0000000000000000000000002i−2i002-20
χ5022-2-2-222-22-22-22-22i−2i−2i2i2-2-2-22200000000000000−2i2i002i−2i000000000000000000000000−2i2i00-220
χ5122-2-2-222-22-22-22-2−2i2i2i−2i2-2-2-222000000000000002i−2i00−2i2i0000000000000000000000002i−2i00-220
χ5222-2-2-222-22-22-22-2−2i2i2i−2i2-2-2-222000000000000002i−2i00−2i2i000000000000000000000000−2i2i002-20
χ53444444-2-4-4-4-4-2-2-20000-2-2222200004-400000000000000-2-222000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-222220000-440000000000000022-2-2000000000000000000000000000
χ554444-4-4-24-4-44-2-2-244-4-422-22-22000000000000002200-2-20000000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2-4-44422-22-2200000000000000-2-200220000000000000000000000000000000
χ574444-4-4-2-444-4-2-2-20000222-22-2004-4000000-2-2000022000000000000000000000000000000000
χ584444-4-4-2-444-4-2-2-20000222-22-200-44000000220000-2-2000000000000000000000000000000000
χ5944-4-44-4444-4-4-44-40000-444-4-44000000000000000000000000000000000000000000000000000
χ6044-4-44-4-244-4-42-2200002-2-222-20000000000000000000023−23−2323000000000000000000000000000
χ6144-4-44-4-244-4-42-2200002-2-222-200000000000000000000−232323−23000000000000000000000000000
χ6244-4-4-4444-44-4-44-400004-444-4-4000000000000000000000000000000000000000000000000000
χ6344-4-4-44-24-44-42-220000-22-2-2220000000000−2i32i300002i3−2i3000000000000000000000000000000000
χ6444-4-4-44-24-44-42-220000-22-2-22200000000002i3−2i30000−2i32i3000000000000000000000000000000000
χ6544-4-4-44-2-44-442-224i−4i−4i4i-2222-2-2000000000000002i−2i00−2i2i0000000000000000000000000000000
χ6644-4-4-44-2-44-442-22−4i4i4i−4i-2222-2-200000000000000−2i2i002i−2i0000000000000000000000000000000
χ674-44-40040000-4-4400000000004i−4i0000002-2000000000000002-22-20000000000000000002i−2i000
χ684-44-40040000-4-4400000000004i−4i000000-2200000000000000-22-22000000000000000000−2i2i000
χ694-44-40040000-4-440000000000−4i4i0000002-2000000000000002-22-2000000000000000000−2i2i000
χ704-44-40040000-4-440000000000−4i4i000000-2200000000000000-22-220000000000000000002i−2i000
χ718-88-800-4000044-40000000000000000004-400000000000000-22-2200000000000000000000000
χ728-88-800-4000044-4000000000000000000-44000000000000002-22-200000000000000000000000
χ738-8-8800800008-8-80000000000000000000000000000000000000000000000000000000000000
χ748-8-8800-40000-4440000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ758-8-8800-40000-44400000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000

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