Finite Group Databasebeta

← Group #10828061

Character table — Group #10828061

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444444466888888888888888888888888881212121616161616161624242424242424242424242448
order122222344446662244661212121222222444446666666688121212121212121224481212242424242444444444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-11111-1-111-1-1-1-111-1-111-1
χ411111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11
χ5111111111111111111111111-1-111111111111111111111111111-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ7111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11
χ8111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-11-1-1-1-111-1-1111111-1-111-1
χ911111111111111-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1-111-1-11111-1-1-1
χ1011111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1111
χ1111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11
χ1211111111111111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-1111111111-1-1-111-1-1-1-1-1-111-1-11111-1
χ1311111111111111-1-1-1-1111111-1-111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-1111
χ1411111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1111111-1-1-1
χ1511111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1111-1-1111111-1-1-1-11111-1
χ1611111111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11
χ172222222-2-2-2-2222000022-2-2-2-2222-20000000022-2-20000000000002-2-20000000002-2000000000
χ182222222-2-2-2-2222000022-2-2-2-222-2200000000-2-2220000000000002-2-2000000000-22000000000
χ192222222-2-2-2-2222000022-2-2-2-2-2-22-20000000022-2-2000000000000-222000000000-22000000000
χ202222222-2-2-2-2222000022-2-2-2-2-2-2-2200000000-2-222000000000000-2220000000002-2000000000
χ21222222-12222-1-1-12222-1-1-1-1-1-10022222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10002-1-1-1-1-1-10000000000000
χ22222222-12222-1-1-12222-1-1-1-1-1-1002222-2-2-2-2-1-1-1-1-1-1-1-1-2-2-1-1-1-11111000-21111110000000000000
χ23222222-12222-1-1-12222-1-1-1-1-1-100-2-2-2-222-2-2-1-111111122-1-1111111000-2-1-1-1-1110000000000000
χ24222222-12222-1-1-12222-1-1-1-1-1-100-2-2-2-2-2-222-1-1111111-2-2-1-111-1-1-1-100021111-1-10000000000000
χ25222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10022-2-2222211-1-1-1-111-2-21111-1-1-1-1000-2-1-111110000000000000
χ26222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-10022-2-2-2-2-2-211-1-1-1-1112211111111000211-1-1-1-10000000000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-100-2-22222-2-2111111-1-1-2-211-1-111110002-1-111-1-10000000000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-1-1-1-100-2-222-2-222111111-1-12211-1-1-1-1-1-1000-211-1-1110000000000000
χ292222-2-222-2-2222222-2-2-2-22-22-222000000002200000000-2-2000000-22-200000002-200000000000
χ302222-2-222-2-2222222-2-2-2-22-22-2-2-2000000002200000000-2-20000002-220000000-2200000000000
χ312222-2-222-2-22222-2-222-2-22-22-22200000000-2-20000000022000000-22-20000000-2200000000000
χ322222-2-222-2-22222-2-222-2-22-22-2-2-200000000-2-200000000220000002-2200000002-200000000000
χ332222-2-22-222-22220000-2-2-22-2222002-20000000000220000-2-20000-2-22000000000002-20000000
χ342222-2-22-222-22220000-2-2-22-222200-220000000000-2-20000220000-2-2200000000000-220000000
χ352222-2-22-222-22220000-2-2-22-22-2-2002-20000000000220000-2-2000022-200000000000-220000000
χ362222-2-22-222-22220000-2-2-22-22-2-200-220000000000-2-2000022000022-2000000000002-20000000
χ3722-2-22-2222-2-2-2-222-22-2-222-2-2200000000002-2000000002-200000000000000000000002i−2i002i−2i0
χ3822-2-22-2222-2-2-2-222-22-2-222-2-2200000000002-2000000002-20000000000000000000000−2i2i00−2i2i0
χ3922-2-22-2222-2-2-2-22-22-22-222-2-220000000000-2200000000-2200000000000000000000002i−2i00−2i2i0
χ4022-2-22-2222-2-2-2-22-22-22-222-2-220000000000-2200000000-220000000000000000000000−2i2i002i−2i0
χ4122-2-2-2222-22-2-2-222-2-222-222-2-20000002i−2i002-20000002i−2i-2200000000002i−2i2i−2i000000000000000
χ4222-2-2-2222-22-2-2-222-2-222-222-2-2000000−2i2i002-2000000−2i2i-220000000000−2i2i−2i2i000000000000000
χ4322-2-2-2222-22-2-2-22-222-22-222-2-20000002i−2i00-22000000−2i2i2-200000000002i−2i−2i2i000000000000000
χ4422-2-2-2222-22-2-2-22-222-22-222-2-2000000−2i2i00-220000002i−2i2-20000000000−2i2i2i−2i000000000000000
χ4522-2-2-22-12-22-211-12-2-22-11-1-1110000002i−2i00-11−i3i3−i3i3−i3i32i−2i1-1−i3i333−3−30000−ii−ii3−30000000000000
χ4622-2-2-22-12-22-211-12-2-22-11-1-1110000002i−2i00-11i3−i3i3−i3i3−i32i−2i1-1i3−i3−3−3330000−ii−ii−330000000000000
χ4722-2-2-22-12-22-211-12-2-22-11-1-111000000−2i2i00-11−i3i3−i3i3−i3i3−2i2i1-1−i3i3−3−3330000i−ii−i−330000000000000
χ4822-2-2-22-12-22-211-12-2-22-11-1-111000000−2i2i00-11i3−i3i3−i3i3−i3−2i2i1-1i3−i333−3−30000i−ii−i3−30000000000000
χ4922-2-2-22-12-22-211-1-222-2-11-1-1110000002i−2i001-1−i3i3−i3i3i3−i3−2i2i-11i3−i333−3−30000−iii−i−330000000000000
χ5022-2-2-22-12-22-211-1-222-2-11-1-1110000002i−2i001-1i3−i3i3−i3−i3i3−2i2i-11−i3i3−3−3330000−iii−i3−30000000000000
χ5122-2-2-22-12-22-211-1-222-2-11-1-111000000−2i2i001-1−i3i3−i3i3i3−i32i−2i-11i3−i3−3−3330000i−i−ii3−30000000000000
χ5222-2-2-22-12-22-211-1-222-2-11-1-111000000−2i2i001-1i3−i3i3−i3−i3i32i−2i-11−i3i333−3−30000i−i−ii−330000000000000
χ53444444-2-4-4-4-4-2-2-20000-2-22222004-400000000-2-22200000000000000000000000000000000000
χ54444444-2-4-4-4-4-2-2-20000-2-2222200-440000000022-2-200000000000000000000000000000000000
χ554444-4-4-24-4-44-2-2-244-4-422-22-220000000000-2-2000000002200000000000000000000000000000
χ564444-4-4-24-4-44-2-2-2-4-44422-22-2200000000002200000000-2-200000000000000000000000000000
χ574444-4-4-2-444-4-2-2-20000222-22-200004-40000000000-2-2000022000000000000000000000000000
χ584444-4-4-2-444-4-2-2-20000222-22-20000-440000000000220000-2-2000000000000000000000000000
χ5944-4-44-44-4-444-4-440000-44-444-4000000000000000000000000000000000000000000000000000
χ6044-4-44-4-244-4-422-24-44-42-2-222-20000000000-2200000000-2200000000000000000000000000000
χ6144-4-44-4-244-4-422-2-44-442-2-222-200000000002-2000000002-200000000000000000000000000000
χ6244-4-44-4-2-4-44422-200002-22-2-220000000000000000−2i32i300002i3−2i3000000000000000000000000000
χ6344-4-44-4-2-4-44422-200002-22-2-2200000000000000002i3−2i30000−2i32i3000000000000000000000000000
χ6444-4-4-444-44-44-4-4400004-4-4-444000000000000000000000000000000000000000000000000000
χ6544-4-4-44-2-44-4422-20000-2222-2-2000000000000−2i32i32i3−2i300000000000000000000000000000000000
χ6644-4-4-44-2-44-4422-20000-2222-2-20000000000002i3−2i3−2i32i300000000000000000000000000000000000
χ674-44-400400004-4-400000000004-40000002i−2i000000000000002i−2i2i−2i0000000000000000002i−2i000
χ684-44-400400004-4-400000000004-4000000−2i2i00000000000000−2i2i−2i2i000000000000000000−2i2i000
χ694-44-400400004-4-40000000000-440000002i−2i000000000000002i−2i2i−2i000000000000000000−2i2i000
χ704-44-400400004-4-40000000000-44000000−2i2i00000000000000−2i2i−2i2i0000000000000000002i−2i000
χ718-88-800-40000-4440000000000000000004i−4i00000000000000−2i2i−2i2i00000000000000000000000
χ728-88-800-40000-444000000000000000000−4i4i000000000000002i−2i2i−2i00000000000000000000000
χ738-8-880080000-88-80000000000000000000000000000000000000000000000000000000000000
χ748-8-8800-400004-440000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ758-8-8800-400004-4400000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000

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