Finite Group Databasebeta

← Group #10900845

Character table — Group #10900845

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111222222222222444488888888888888888888881212121216161616161616161616242424242424242424244848
order122222223444466666661212121222224488881212121224242424242424242244246666661212224444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111-111-1-111-1-111-1-1-1-111-1-1-11
χ611111111111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1111-1
χ711111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-11111-1-1-1-1-1-1111-1
χ811111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-11
χ9111111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-11-1-111-1-111-1-1-111-111-1-11-1
χ10111111111111111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-11-1-111-11
χ11111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-111-1-1-111-11
χ12111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-1111-1-1111-1-11-1
χ13111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-1
χ14111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111
χ15111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11-1-11-1-1-1-111
χ16111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-11111-1-1
χ17222222222-2-2-2-22222222-2-2-2-200002-2000022-2-20000000022-2-2000000000000-2002000000
χ18222222222-2-2-2-22222222-2-2-2-200002-2000022-2-200000000-2-222000000000000200-2000000
χ19222222222-2-2-2-22222222-2-2-2-20000-220000-2-2220000000022-2-2000000000000200-2000000
χ20222222222-2-2-2-22222222-2-2-2-20000-220000-2-22200000000-2-222000000000000-2002000000
χ2122222222-12222-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-1-1-1-1111111110000-2-2-1-1-1-11111000000000000
χ2322222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-222-2-21111-1-1-1-1111100002-2-1-111-1-111000000000000
χ2422222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-22211111111-1-1-1-10000-22-1-11111-1-1000000000000
χ2522222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-111110000-2211-1-111-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-22211111111-1-1-1-100002-211-1-1-1-111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-211111111000000000000
χ2822222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-1111111110000221111-1-1-1-1000000000000
χ292-2-2-22-22222-22-2-2-2-2222-22-22-2002-20000000000000000002-22-200002-200000002-20000000
χ302-2-2-22-22222-22-2-2-2-2222-22-22-2002-2000000000000000000-22-2200002-20000000-220000000
χ312-2-2-22-22222-22-2-2-2-2222-22-22-200-220000000000000000002-22-20000-220000000-220000000
χ322-2-2-22-22222-22-2-2-2-2222-22-22-200-22000000000000000000-22-220000-2200000002-20000000
χ332-2-2-22-2222-22-22-2-2-2222-2-22-222-2000000000000000000002-2-22002-20000002-20000000000
χ342-2-2-22-2222-22-22-2-2-2222-2-22-222-200000000000000000000-222-2002-2000000-220000000000
χ352-2-2-22-2222-22-22-2-2-2222-2-22-22-22000000000000000000002-2-2200-22000000-220000000000
χ362-2-2-22-2222-22-22-2-2-2222-2-22-22-2200000000000000000000-222-200-220000002-20000000000
χ3744444444-2-4-4-4-4-2-2-2-2-2-2-2222200004-40000-2-2220000000000000000000000000000000000
χ3844444444-2-4-4-4-4-2-2-2-2-2-2-222220000-44000022-2-20000000000000000000000000000000000
χ39444-44-4-4-44000044-44-4-4-4000000000000000000000000000000000000000000000000−2i22i200
χ40444-44-4-4-44000044-44-4-4-40000000000000000000000000000000000000000000000002i2−2i200
χ4144-44-4-44-4400004-4-4-44-44000000000022−220000002222−22−22000000000000000000000000000000
χ4244-44-4-44-4400004-4-4-44-440000000000−2222000000−22−222222000000000000000000000000000000
χ4344-44-4-44-4-20000-2222-22-2000000000022−220000−2i32i3−2−222i6i6−i6−i600000000000000000000000000
χ4444-44-4-44-4-20000-2222-22-2000000000022−2200002i3−2i3−2−222−i6−i6i6i600000000000000000000000000
χ4544-44-4-44-4-20000-2222-22-20000000000−22220000−2i32i322−2−2−i6−i6i6i600000000000000000000000000
χ4644-44-4-44-4-20000-2222-22-20000000000−222200002i3−2i322−2−2i6i6−i6−i600000000000000000000000000
χ4744-4-4-44-44444-4-44-44-4-44-4-4-444000000000000000000000000000000000000000000000000
χ4844-4-4-44-444-4-4444-44-4-44-444-4-4000000000000000000000000000000000000000000000000
χ4944-4-4-44-44-244-4-4-22-222-2222-2-200000000000000000000000000000000−2i32i300000000000000
χ5044-4-4-44-44-244-4-4-22-222-2222-2-2000000000000000000000000000000002i3−2i300000000000000
χ5144-4-4-44-44-2-4-444-22-222-22-2-222000000000000000000000000000000000023−23000000000000
χ5244-4-4-44-44-2-4-444-22-222-22-2-2220000000000000000000000000000000000−2323000000000000
χ534-444-4-4-4444-4-44-44-4-4-444-444-4000000000000000000000000000000000000000000000000
χ544-444-4-4-444-444-4-44-4-4-4444-4-44000000000000000000000000000000000000000000000000
χ554-444-4-4-44-24-4-442-2222-2-22-2-22000000000000000000−2i32i3−2i32i300000000000000000000000000
χ564-444-4-4-44-24-4-442-2222-2-22-2-220000000000000000002i3−2i32i3−2i300000000000000000000000000
χ574-444-4-4-44-2-444-42-2222-2-2-222-200000000000000−2i32i3−2i32i3000000000000000000000000000000
χ584-444-4-4-44-2-444-42-2222-2-2-222-2000000000000002i3−2i32i3−2i3000000000000000000000000000000
χ594-44-4-444-440000-444-44-4-4000000000000000000000000000000000000000000000022−220000
χ604-44-4-444-440000-444-44-4-40000000000000000000000000000000000000000000000−22220000
χ614-4-4444-4-440000-4-444-4-4400000000000022−220000000022−22−222200000000000000000000000000
χ624-4-4444-4-440000-4-444-4-44000000000000−222200000000−222222−2200000000000000000000000000
χ634-4-4444-4-4-2000022-2-222-200000000000022−22−2i32i300i6−i6−i6i6−222−200000000000000000000000000
χ644-4-4444-4-4-2000022-2-222-200000000000022−222i3−2i300−i6i6i6−i6−222−200000000000000000000000000
χ654-4-4444-4-4-2000022-2-222-2000000000000−2222−2i32i300−i6i6i6−i62−2−2200000000000000000000000000
χ664-4-4444-4-4-2000022-2-222-2000000000000−22222i3−2i300i6−i6−i6i62−2−2200000000000000000000000000
χ674-4-4-44-444-24-44-4222-2-2-22-22-22004-400000000000000000000000000-220000000000000000
χ684-4-4-44-444-24-44-4222-2-2-22-22-2200-44000000000000000000000000002-20000000000000000
χ694-4-4-44-444-2-44-44222-2-2-222-22-24-400000000000000000000000000-22000000000000000000
χ704-4-4-44-444-2-44-44222-2-2-222-22-2-44000000000000000000000000002-2000000000000000000
χ71888-88-8-8-8-40000-4-44-44440000000000000000000000000000000000000000000000000000
χ728-88-8-888-8-400004-4-44-4440000000000000000000000000000000000000000000000000000

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