Finite Group Databasebeta

← Group #10828619

Character table — Group #10828619

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222222222222444444444444888888888888888888121212121212121212121212161616161616161616162424242424244848
order122222222234444666446666661212121224444444121212121212121212124444444444446881212122424242424444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1111111-1-1
χ41111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1
χ6111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-111-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-11111111-1-11-1-1
χ911111-1-1-1-1111111111-1-111-1-1-1-111111-11-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11-111-1-1-11-1-1-111-1
χ1011111-1-1-1-1111111111-1-111-1-1-1-111111-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-111-1-11-1111-1-11
χ1111111-1-1-1-1111111111-1-111-1-1-1-111111-11-1-1-111-1-1-1-1-1-111111111-1-1-1-111111-11-11-1-1-111-11-1-1-11-11
χ1211111-1-1-1-1111111111-1-111-1-1-1-111111-11-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-11-1-1-1111-1111-11-1
χ1311111-1-1-1-1111111111-1-111-1-1-1-11111-11-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-11-1-1111-11-1-1-1-11
χ1411111-1-1-1-1111111111-1-111-1-1-1-11111-11-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-111-11-11111-1
χ1511111-1-1-1-1111111111-1-111-1-1-1-11111-11-11-1-111-1-1-1-1-1-111111111-1-1-1-11111-11-11-1111-1-11-11-1-1-11-1
χ1611111-1-1-1-1111111111-1-111-1-1-1-11111-11-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1111-1-1-11-1111-11
χ1722222222222-2-2-2-2222-2-2222222-2-2-2-200000000-2-20000000022-2-20000000000000000000002-2000
χ1822222222222-2-2-2-2222-2-2222222-2-2-2-200000000-2-200000000-2-222000000000000000000000-22000
χ192222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1000000000000-122-1-1-1-1-1-1-100000000
χ202222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-111111111000000000000-1-2-2-1-1-1111100000000
χ212222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-10000000000001-2-2111111100000000
χ222222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-111111111000000000000122111-1-1-1-100000000
χ2322222-2-2-2-222-2-2-2-22222222-2-2-2-2-2-2-2-200000000220000000022-2-2000000000000000000000-22000
χ2422222-2-2-2-222-2-2-2-22222222-2-2-2-2-2-2-2-2000000002200000000-2-2220000000000000000000002-2000
χ2522222-2-2-2-22-12222-1-1-1-2-2-1-11111-1-1-1-12-22-222-2-211-1-1-1-11111000000000000-12-21-11-1-11100000000
χ2622222-2-2-2-22-12222-1-1-1-2-2-1-11111-1-1-1-12-22-2-2-222111111-1-1-1-1000000000000-1-221-1111-1-100000000
χ2722222-2-2-2-22-12222-1-1-1-2-2-1-11111-1-1-1-1-22-2222-2-211-1-1-1-111110000000000001-22-11-111-1-100000000
χ2822222-2-2-2-22-12222-1-1-1-2-2-1-11111-1-1-1-1-22-22-2-222111111-1-1-1-100000000000012-2-11-1-1-11100000000
χ292222-222-2-2-2222-2-22222-2-2-222-2-2-2-22222-2-200002-2000000000000000000002002-2-2000000000000
χ302222-222-2-2-2222-2-22222-2-2-222-2-2-2-222-2-22200002-200000000000000000000-200-222000000000000
χ312222-222-2-2-22-2-222222-22-2-222-2-222-2-200000000-2200000000000000000000000000000022-200-200
χ322222-222-2-2-22-2-222222-22-2-222-2-222-2-200000000-22000000000000000000000000000000-2-2200200
χ332222-222-2-2-2-122-2-2-1-1-12-211-1-11111-1-122-2-20000-11−i3−i3i3i3−i3−i3i3i3000000000000-100-111−i3i3−i3i300000000
χ342222-222-2-2-2-122-2-2-1-1-12-211-1-11111-1-122-2-20000-11i3i3−i3−i3i3i3−i3−i3000000000000-100-111i3−i3i3−i300000000
χ352222-222-2-2-2-122-2-2-1-1-12-211-1-11111-1-1-2-2220000-11−i3−i3i3i3−i3−i3i3i30000000000001001-1-1i3−i3i3−i300000000
χ362222-222-2-2-2-122-2-2-1-1-12-211-1-11111-1-1-2-2220000-11i3i3−i3−i3i3i3−i3−i30000000000001001-1-1−i3i3−i3i300000000
χ372222-2-2-222-2222-2-2222-22-2-2-2-222-2-2222-2-220000-2200000000000000000000200-2-22000000000000
χ382222-2-2-222-2222-2-2222-22-2-2-2-222-2-222-222-20000-2200000000000000000000-20022-2000000000000
χ392222-2-2-222-22-2-2222222-2-2-2-2-22222-2-2000000002-20000000000000000000000000000002-2-200200
χ402222-2-2-222-22-2-2222222-2-2-2-2-22222-2-2000000002-2000000000000000000000000000000-22200-200
χ412222-2-2-222-2-122-2-2-1-1-1-221111-1-111-1-12-2-2200001-1−i3−i3i3i3i3i3−i3−i3000000000000-10011-1−i3i3i3−i300000000
χ422222-2-2-222-2-122-2-2-1-1-1-221111-1-111-1-12-2-2200001-1i3i3−i3−i3−i3−i3i3i3000000000000-10011-1i3−i3−i3i300000000
χ432222-2-2-222-2-122-2-2-1-1-1-221111-1-111-1-1-222-200001-1−i3−i3i3i3i3i3−i3−i3000000000000100-1-11i3−i3−i3i300000000
χ442222-2-2-222-2-122-2-2-1-1-1-221111-1-111-1-1-222-200001-1i3i3−i3−i3−i3−i3i3i3000000000000100-1-11−i3i3i3−i300000000
χ452-22-2-20000222-22-2-22-2002-200002-22-20000002i−2i0000002i−2i2i−2i2i−2i2i−2i000022-2-2000000000000000000
χ462-22-2-20000222-22-2-22-2002-200002-22-20000002i−2i0000002i−2i2i−2i−2i2i−2i2i0000-2-222000000000000000000
χ472-22-2-20000222-22-2-22-2002-200002-22-2000000−2i2i000000−2i2i−2i2i2i−2i2i−2i0000-2-222000000000000000000
χ482-22-2-20000222-22-2-22-2002-200002-22-2000000−2i2i000000−2i2i−2i2i−2i2i−2i2i000022-2-2000000000000000000
χ492-22-2-2000022-22-22-22-2002-20000-22-2200002i−2i00002i−2i2i−2i00002i−2i−2i2i22-2-20000000000000000000000
χ502-22-2-2000022-22-22-22-2002-20000-22-2200002i−2i00002i−2i2i−2i0000−2i2i2i−2i-2-2220000000000000000000000
χ512-22-2-2000022-22-22-22-2002-20000-22-220000−2i2i0000−2i2i−2i2i00002i−2i−2i2i-2-2220000000000000000000000
χ522-22-2-2000022-22-22-22-2002-20000-22-220000−2i2i0000−2i2i−2i2i0000−2i2i2i−2i22-2-20000000000000000000000
χ534444444444-2-4-4-4-4-2-2-2-4-4-2-2-2-2-2-22222000000002200000000000000000000000000000000000000
χ5444444-4-4-4-44-2-4-4-4-4-2-2-244-2-22222222200000000-2-200000000000000000000000000000000000000
χ554444-444-4-4-4-2-4-444-2-2-2-4422-2-222-2-222000000002-200000000000000000000000000000000000000
χ564444-4-4-444-4-2-4-444-2-2-24-42222-2-2-2-22200000000-2200000000000000000000000000000000000000
χ5744-4-404-4000400004-4-400004-400000000000000000000000000002-22-22-22-2000000000000000000
χ5844-4-404-4000400004-4-400004-40000000000000000000000000000-22-22-22-22000000000000000000
χ5944-4-40-44000400004-4-40000-4400000000000000000000000000002-22-2-22-22000000000000000000
χ6044-4-40-44000400004-4-40000-440000000000000000000000000000-22-222-22-2000000000000000000
χ614-44-440000-444-4-44-44-400-440000-444-4000000000000000000000000000000000000000000000000
χ624-44-440000-44-444-4-44-400-4400004-4-44000000000000000000000000000000000000000000000000
χ634-44-440000-4-24-4-442-22002-200002-2-220000000000000023−23−2323000000000000000000000000000000
χ644-44-440000-4-24-4-442-22002-200002-2-2200000000000000−232323−23000000000000000000000000000000
χ654-44-440000-4-2-444-42-22002-20000-222-2000000000023−23−23230000000000000000000000000000000000
χ664-44-440000-4-2-444-42-22002-20000-222-20000000000−232323−230000000000000000000000000000000000
χ674-44-4-400004-24-44-42-2200-220000-22-220000004i−4i000000−2i2i−2i2i000000000000000000000000000000
χ684-44-4-400004-24-44-42-2200-220000-22-22000000−4i4i0000002i−2i2i−2i000000000000000000000000000000
χ694-44-4-400004-2-44-442-2200-2200002-22-200004i−4i0000−2i2i−2i2i0000000000000000000000000000000000
χ704-44-4-400004-2-44-442-2200-2200002-22-20000−4i4i00002i−2i2i−2i0000000000000000000000000000000000
χ714-4-440004-4040000-4-440000004-4000000000000000000000000002-2-222-2-22000000000000000000
χ724-4-440004-4040000-4-440000004-400000000000000000000000000-222-2-222-2000000000000000000
χ734-4-44000-44040000-4-44000000-44000000000000000000000000002-2-22-222-2000000000000000000
χ744-4-44000-44040000-4-44000000-4400000000000000000000000000-222-22-2-22000000000000000000
χ7588-8-808-8000-40000-4440000-44000000000000000000000000000000000000000000000000000000
χ7688-8-80-88000-40000-44400004-4000000000000000000000000000000000000000000000000000000
χ778-8-880008-80-4000044-4000000-440000000000000000000000000000000000000000000000000000
χ788-8-88000-880-4000044-40000004-40000000000000000000000000000000000000000000000000000

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