Finite Group Databasebeta

← Group #10826980

Character table — Group #10826980

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222222244448888888888888888888888888812121212121212121616161616161616242424242424242424242424
order12222222344446666666121212122224444444668888121224242424242424242222444466121212121212222244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1
χ411111111111111111111111111111-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111
χ511111111111111111111111111-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111
χ811111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1
χ9111111111111111111111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1
χ10111111111111111111111111-1-11-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11111
χ11111111111111111111111111-1-11-1-1-1-11-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ12111111111111111111111111-1-11-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ13111111111111111111111111-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ14111111111111111111111111-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1
χ15111111111111111111111111-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1
χ16111111111111111111111111-1-1-111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111
χ17222222222-2-2-2-22222222-2-2-2-20020000-200220000-2-20000000022-2-2-2-22200000000000000000000
χ18222222222-2-2-2-22222222-2-2-2-20020000-200220000-2-200000000-2-22222-2-200000000000000000000
χ19222222222-2-2-2-22222222-2-2-2-200-20000200-2-2000022000000002222-2-2-2-200000000000000000000
χ20222222222-2-2-2-22222222-2-2-2-200-20000200-2-200002200000000-2-2-2-2222200000000000000000000
χ2122222222-12222-1-1-1-1-1-1-1-1-1-1-12222222222-1-12222-1-1-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-1000000000000
χ2222222222-12222-1-1-1-1-1-1-1-1-1-1-122222-2-22-2-2-1-1-2-2-2-2-1-11111111100000000-1-1-1-11111000000000000
χ2322222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-222-2-2-21122-2-211-1-1-1-1111100000000-1-111-1-111000000000000
χ2422222222-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-22211-2-222111111-1-1-1-100000000-1-11111-1-1000000000000
χ2522222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-22-2-222222-1-1-2-2-2-2-1-111111111000000001111-1-1-1-1000000000000
χ2622222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-22-2-2-2-22-2-2-1-12222-1-1-1-1-1-1-1-1-1-10000000011111111000000000000
χ2722222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-22222-2-2-211-2-222111111-1-1-1-10000000011-1-1-1-111000000000000
χ2822222222-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-222-2-2-2221122-2-211-1-1-1-111110000000011-1-111-1-1000000000000
χ2922-2-2-2-22222-22-22-2-2-22-222-22-2000000002-200000000000000002-2002-2000000002-20000002-20000
χ3022-2-2-2-22222-22-22-2-2-22-222-22-2000000002-20000000000000000-2200-22000000002-2000000-220000
χ3122-2-2-2-22222-22-22-2-2-22-222-22-200000000-2200000000000000002-2002-200000000-22000000-220000
χ3222-2-2-2-22222-22-22-2-2-22-222-22-200000000-220000000000000000-2200-2200000000-220000002-20000
χ3322-2-2-2-2222-22-222-2-2-22-22-22-22000002-200000000000000000002-200-220000002-200002-200000000
χ3422-2-2-2-2222-22-222-2-2-22-22-22-22000002-20000000000000000000-22002-20000002-20000-2200000000
χ3522-2-2-2-2222-22-222-2-2-22-22-22-2200000-2200000000000000000002-200-22000000-220000-2200000000
χ3622-2-2-2-2222-22-222-2-2-22-22-22-2200000-220000000000000000000-22002-2000000-2200002-200000000
χ372-2-2-222-2222-2-22-22-2-2-222-222-22-2000000000000000000000000002-2002-22-200000000002-2000000
χ382-2-2-222-2222-2-22-22-2-2-222-222-22-200000000000000000000000000-2200-222-20000000000-22000000
χ392-2-2-222-2222-2-22-22-2-2-222-222-2-22000000000000000000000000002-2002-2-220000000000-22000000
χ402-2-2-222-2222-2-22-22-2-2-222-222-2-2200000000000000000000000000-2200-22-2200000000002-2000000
χ412-2-2-222-222-222-2-22-2-2-2222-2-220002-2000000000000000000000002-200-22002-200002-20000000000
χ422-2-2-222-222-222-2-22-2-2-2222-2-220002-200000000000000000000000-22002-2002-20000-220000000000
χ432-2-2-222-222-222-2-22-2-2-2222-2-22000-22000000000000000000000002-200-2200-220000-220000000000
χ442-2-2-222-222-222-2-22-2-2-2222-2-22000-2200000000000000000000000-22002-200-2200002-20000000000
χ4544444444-2-4-4-4-4-2-2-2-2-2-2-222220040000-400-2-2000022000000000000000000000000000000000000
χ4644444444-2-4-4-4-4-2-2-2-2-2-2-2222200-40000400220000-2-2000000000000000000000000000000000000
χ47444-44-4-4-4400004-44-4-44-4000000000000000000−2i22i2000000−2i2−2i22i22i20000000000000000000000000000
χ48444-44-4-4-4400004-44-4-44-40000000000000000002i2−2i20000002i22i2−2i2−2i20000000000000000000000000000
χ49444-44-4-4-4-20000-22-222-2200000000000000−2i32i300−2i22i20066−6−6i2i2−i2−i20000000000000000000000000000
χ50444-44-4-4-4-20000-22-222-2200000000000000−2i32i3002i2−2i200−6−666−i2−i2i2i20000000000000000000000000000
χ51444-44-4-4-4-20000-22-222-22000000000000002i3−2i300−2i22i200−6−666i2i2−i2−i20000000000000000000000000000
χ52444-44-4-4-4-20000-22-222-22000000000000002i3−2i3002i2−2i20066−6−6−i2−i2i2i20000000000000000000000000000
χ5344-44-44-4-44000044-44-4-4-400000000000000000000000000000000000000000000000000000000−2i22i2
χ5444-44-44-4-44000044-44-4-4-4000000000000000000000000000000000000000000000000000000002i2−2i2
χ5544-4-4-4-444-24-44-4-2222-22-2-22-22000000004-4000000000000000000000000000000-22000000000000
χ5644-4-4-4-444-24-44-4-2222-22-2-22-2200000000-440000000000000000000000000000002-2000000000000
χ5744-4-4-4-444-2-44-44-2222-22-22-22-2000004-40000000000000000000000000000000-2200000000000000
χ5844-4-4-4-444-2-44-44-2222-22-22-22-200000-4400000000000000000000000000000002-200000000000000
χ594-444-4-4-44444-4-4-4-444-4-44-4-444000000000000000000000000000000000000000000000000000000
χ604-444-4-4-444-4-444-4-444-4-4444-4-4000000000000000000000000000000000000000000000000000000
χ614-444-4-4-44-244-4-422-2-222-222-2-20000000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ624-444-4-4-44-244-4-422-2-222-222-2-200000000000000000000002i3−2i32i3−2i30000000000000000000000000000
χ634-444-4-4-44-2-4-44422-2-222-2-2-22200000000000000000023−2323−2300000000000000000000000000000000
χ644-444-4-4-44-2-4-44422-2-222-2-2-222000000000000000000−2323−232300000000000000000000000000000000
χ654-44-4-444-440000-444-44-4-4000000000000000022−22000022−22−222200000000000000000000000000000000
χ664-44-4-444-440000-444-44-4-40000000000000000−22220000−222222−2200000000000000000000000000000000
χ674-44-4-444-4-200002-2-22-222000000000000000022−220023−23−222−26−6−660000000000000000000000000000
χ684-44-4-444-4-200002-2-22-222000000000000000022−2200−2323−222−2−666−60000000000000000000000000000
χ694-44-4-444-4-200002-2-22-2220000000000000000−22220023−232−2−22−666−60000000000000000000000000000
χ704-44-4-444-4-200002-2-22-2220000000000000000−222200−23232−2−226−6−660000000000000000000000000000
χ714-4-444-44-440000-4-4-4444-400000000000000000000000000000000000000000000000000000022−2200
χ724-4-444-44-440000-4-4-4444-4000000000000000000000000000000000000000000000000000000−222200
χ734-4-4-444-44-24-4-442-2222-2-22-2-224-400000000000000000000000000000000-22000000000000000000
χ744-4-4-444-44-24-4-442-2222-2-22-2-22-44000000000000000000000000000000002-2000000000000000000
χ754-4-4-444-44-2-444-42-2222-2-2-222-20004-40000000000000000000000000000000-220000000000000000
χ764-4-4-444-44-2-444-42-2222-2-2-222-2000-4400000000000000000000000000000002-20000000000000000
χ7788-88-88-8-8-40000-4-44-44440000000000000000000000000000000000000000000000000000000000
χ788-8-888-88-8-40000444-4-4-440000000000000000000000000000000000000000000000000000000000

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