Finite Group Databasebeta

← Group #10784424

Character table — Group #10784424

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444444488888888888888881212121212121212121212121616161624243232323248484848
order1222344444466688881212121212128888242424242424242424242424244488888888444488121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ6111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111
χ911111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-11-1-1-11-11-11-11-1
χ1011111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-1-11-11-11-11
χ1111111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1111-11-1-11-11
χ1211111111111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-11-111-11-1
χ1311111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11-1-11-1-11-111-1
χ1411111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-1-1-111-11-1-11
χ1511111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11111-1-111-1-11
χ1611111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-111-111-111-1-111-1
χ172222222-2-2-2-222222-2-2-2-222-2-2000022-2-20000000022-2-20000000000002-200000000
χ182222222-2-2-2-222222-2-2-2-222-2-2000022-2-200000000-2-222000000000000-2200000000
χ192222222-2-2-2-2222-2-222-2-222-2-20000-2-2220000000022-2-2000000000000-2200000000
χ202222222-2-2-2-2222-2-222-2-222-2-20000-2-22200000000-2-2220000000000002-200000000
χ2122222-2-222-2-2222000022-2-2-2-2002-20000000022-2-22-22-2000022-2-200000000000000
χ2222222-2-222-2-2222000022-2-2-2-2002-20000000022-2-2-22-220000-2-22200000000000000
χ2322222-2-222-2-2222000022-2-2-2-200-2200000000-2-2222-22-20000-2-22200000000000000
χ2422222-2-222-2-2222000022-2-2-2-200-2200000000-2-222-22-22000022-2-200000000000000
χ2522222-2-2-2-2222220000-2-2-2-2222-200000022-2-200002-2-2222-2-2000000000000000000
χ2622222-2-2-2-2222220000-2-2-2-2222-200000022-2-20000-222-2-2-222000000000000000000
χ2722222-2-2-2-2222220000-2-2-2-222-22000000-2-22200002-2-22-2-222000000000000000000
χ2822222-2-2-2-2222220000-2-2-2-222-22000000-2-2220000-222-222-2-2000000000000000000
χ292222-1222222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000222200-1-1-1-10000
χ302222-1222222-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-20011110000
χ312222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111100000000000022-2-200-1-1110000
χ322222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111000000000000-2-2220011-1-10000
χ332222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-122-2-21111-1-1-1-111110000000000002-22-200-11-110000
χ342222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-122-2-21111-1-1-1-11111000000000000-22-22001-11-10000
χ352222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-10000000000002-2-2200-111-10000
χ362222-1222222-1-1-1-2-2-2-2-1-1-1-1-1-1-2-22211111111-1-1-1-1000000000000-222-2001-1-110000
χ374444-244-4-4-4-4-2-2-244-4-422-2-2220000-2-2220000000000000000000000000000000000
χ384444-244-4-4-4-4-2-2-2-4-44422-2-222000022-2-20000000000000000000000000000000000
χ394444-2-4-444-4-4-2-2-20000-2-22222004-400000000-2-22200000000000000000000000000
χ404444-2-4-444-4-4-2-2-20000-2-2222200-440000000022-2-200000000000000000000000000
χ414444-2-4-4-4-444-2-2-200002222-2-24-4000000-2-222000000000000000000000000000000
χ424444-2-4-4-4-444-2-2-200002222-2-2-4400000022-2-2000000000000000000000000000000
χ4344-4-444-40000-44-40000004-4000000000000000000000022−2222−22000000000000000000
χ4444-4-444-40000-44-40000004-40000000000000000000000−2222−2222000000000000000000
χ4544-4-44-440000-44-4000000-44000000000000000000000022−22−2222000000000000000000
χ4644-4-44-440000-44-4000000-440000000000000000000000−222222−22000000000000000000
χ474-44-44004-4004-4-422−2222−224-40000000022−2222−220000000000000000000000000000000000
χ484-44-44004-4004-4-4−2222−22224-400000000−2222−22220000000000000000000000000000000000
χ494-44-4400-44004-4-422−22−2222-440000000022−22−22220000000000000000000000000000000000
χ504-44-4400-44004-4-4−222222−22-4400000000−222222−220000000000000000000000000000000000
χ514-44-4-2004-400-22222−2222−22-2200000000−22−22i6−i6i6−i6−2i32i30000000000000000000000000000
χ524-44-4-2004-400-22222−2222−22-2200000000−22−22−i6i6−i6i62i3−2i30000000000000000000000000000
χ534-44-4-2004-400-222−2222−2222-22000000002−22−2i6−i6i6−i62i3−2i30000000000000000000000000000
χ544-44-4-2004-400-222−2222−2222-22000000002−22−2−i6i6−i6i6−2i32i30000000000000000000000000000
χ554-44-4-200-4400-22222−22−22222-200000000−222−2i6−i6−i6i600−2i32i300000000000000000000000000
χ564-44-4-200-4400-22222−22−22222-200000000−222−2−i6i6i6−i6002i3−2i300000000000000000000000000
χ574-44-4-200-4400-222−222222−222-2000000002−2−22i6−i6−i6i6002i3−2i300000000000000000000000000
χ584-44-4-200-4400-222−222222−222-2000000002−2−22−i6i6i6−i600−2i32i300000000000000000000000000
χ594-4-44400004-4-4-44000000004-400000000000000000000000022−2222−2200000000000000
χ604-4-44400004-4-4-44000000004-4000000000000000000000000−2222−222200000000000000
χ614-4-4440000-44-4-4400000000-4400000000000000000000000022−22−222200000000000000
χ624-4-4440000-44-4-4400000000-44000000000000000000000000−222222−2200000000000000
χ6388-8-8-48-800004-44000000-4400000000000000000000000000000000000000000000
χ6488-8-8-4-8800004-440000004-400000000000000000000000000000000000000000000
χ658-8-88-400008-844-400000000-44000000000000000000000000000000000000000000
χ668-8-88-40000-8844-4000000004-4000000000000000000000000000000000000000000

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