Finite Group Databasebeta

← Group #10784427

Character table — Group #10784427

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size11112222222222444444444488888888888888881212121212121212121212121616161624243232323248484848
order1222344444466688881212121212128888242424242424242424242424244488888888222488666122244
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
χ172222222-2-2-2-222222-2-2-2-2-2-222000022-2-20000000022-2-20000000000002-200000000
χ182222222-2-2-2-222222-2-2-2-2-2-222000022-2-200000000-2-222000000000000-2200000000
χ192222222-2-2-2-2222-2-222-2-2-2-2220000-2-2220000000022-2-2000000000000-2200000000
χ202222222-2-2-2-2222-2-222-2-2-2-2220000-2-22200000000-2-2220000000000002-200000000
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
χ2522222-2-2-2-2222220000-2-222-2-22-200000022-2-200002-2-2222-2-2000000000000000000
χ2622222-2-2-2-2222220000-2-222-2-22-200000022-2-20000-222-2-2-222000000000000000000
χ2722222-2-2-2-2222220000-2-222-2-2-22000000-2-22200002-2-22-2-222000000000000000000
χ2822222-2-2-2-2222220000-2-222-2-2-22000000-2-2220000-222-222-2-2000000000000000000
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
χ374444-244-4-4-4-4-2-2-244-4-42222-2-20000-2-2220000000000000000000000000000000000
χ384444-244-4-4-4-4-2-2-2-4-4442222-2-2000022-2-20000000000000000000000000000000000
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
χ414444-2-4-4-4-444-2-2-2000022-2-2224-4000000-2-222000000000000000000000000000000
χ424444-2-4-4-4-444-2-2-2000022-2-222-4400000022-2-2000000000000000000000000000000
χ4344-4-444-40000-4-44004-400004-40000004-40000000000000000000000000000000000
χ4444-4-444-40000-4-4400-4400004-4000000-440000000000000000000000000000000000
χ4544-4-44-440000-4-444-4000000-4400004-4000000000000000000000000000000000000
χ4644-4-44-440000-4-44-44000000-440000-44000000000000000000000000000000000000
χ4744-4-4-24-4000022-2004-40000-22000000-22i6−i6i6−i6i6−i6i6−i600000000000000000000000000
χ4844-4-4-24-4000022-2004-40000-22000000-22−i6i6−i6i6−i6i6−i6i600000000000000000000000000
χ4944-4-4-24-4000022-200-440000-220000002-2i6−i6i6−i6−i6i6−i6i600000000000000000000000000
χ5044-4-4-24-4000022-200-440000-220000002-2−i6i6−i6i6i6−i6i6−i600000000000000000000000000
χ5144-4-4-2-44000022-24-40000002-20000-2200i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ5244-4-4-2-44000022-24-40000002-20000-2200−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ5344-4-4-2-44000022-2-440000002-200002-200i6−i6−i6i6−i6i6i6−i600000000000000000000000000
χ5444-4-4-2-44000022-2-440000002-200002-200−i6i6i6−i6i6−i6−i6i600000000000000000000000000
χ554-44-4400004-44-4-40000004-400000000000000000000004-400000000000000000000
χ564-44-4400004-44-4-40000004-40000000000000000000000-4400000000000000000000
χ574-44-440000-444-4-4000000-440000000000000000000000004-4000000000000000000
χ584-44-440000-444-4-4000000-44000000000000000000000000-44000000000000000000
χ594-4-444004-400-44-400004-400000000000000000000000000004-40000000000000000
χ604-4-444004-400-44-400004-40000000000000000000000000000-440000000000000000
χ614-4-44400-4400-44-40000-440000000000000000000000000000004-400000000000000
χ624-4-44400-4400-44-40000-44000000000000000000000000000000-4400000000000000
χ638-88-8-400008-8-444000000-4400000000000000000000000000000000000000000000
χ648-88-8-40000-88-4440000004-400000000000000000000000000000000000000000000
χ658-8-88-4008-8004-440000-440000000000000000000000000000000000000000000000
χ668-8-88-400-88004-4400004-40000000000000000000000000000000000000000000000

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