Finite Group Databasebeta

← Group #10780330

Character table — Group #10780330

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222244444444444888888881212121212121212161616161616161616161616161616162424242448484848
order122234444666244441212121212122444612121288888888246668812121212122424242488884488
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-111111111-1-1-1-111-111-1-1-1-1-111-1-1-1-111-1-111-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111-1-1-1-11111-1-1-1-1111111-111-1-1-1-1-111-1-1-1-1-1-111-1-111
χ811111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-111-1-1-1-1-11111-1-11111-1-1
χ9111111111111-11-1-1-1111-1-111-11-1-11-1-111-1-111111-11111-1-1-11-1-111-1-11-1-1-11-1-11
χ10111111111111-11-1-1-1111-1-111-11-1-11-1-111-1-11111-111-1-1-11-1-1111-1-1111-1-1-1-111-1
χ11111111111111-11-1-1-1111-1-111-11-1-11-1-1-1-111-1-1-1-11-11111-1-1-11-1-111-1-1-1111-111-1
χ12111111111111-11-1-1-1111-1-111-11-1-11-1-1-1-111-1-1-1-1-111-1-1-11-1-1111-1-111-11111-1-11
χ13111111111111-11-1-1-1111-1-11-11-11-11-1-111-1-1-1-1-1-11-1-111-1111-1-1-1-1-1111-1111-11-1
χ14111111111111-11-1-1-1111-1-11-11-11-11-1-111-1-1-1-1-1-1-11-1-1-11-111-11111-1-11-111-11-11
χ15111111111111-11-1-1-1111-1-11-11-11-11-1-1-1-11111111-1-111-1111-1-1-1-1-111-11-1-1-11-11
χ16111111111111-11-1-1-1111-1-11-11-11-11-1-1-1-1111111-11-1-1-11-111-11111-1-1-11-1-11-11-1
χ172222222-2-22222-2-2-222-2-2-2-2222-2-22-22-20000000000200002-2-200000000000000
χ182222222-2-22222-2-2-222-2-2-2-22-2-2222-22-20000000000-20000-22200000000000000
χ192222222-2-2222-2-222-22-2-22222-2-22-2-2-22000000000020000-22-200000000000000
χ202222222-2-2222-2-222-22-2-2222-222-2-2-2-220000000000-200002-2200000000000000
χ2122222-2-2222222-2-22-2-22222-200002-2-2-222-2-200000000000000000000-22000000
χ2222222-2-2222222-2-22-2-22222-200002-2-2-2-2-222000000000000000000002-2000000
χ2322222-2-222222-2-22-22-222-2-2-20000-2-222222200000000000000000000-2-2000000
χ2422222-2-222222-2-22-22-222-2-2-20000-2-222-2-2-2-20000000000000000000022000000
χ2522222-2-2-2-2222222-2-2-2-2-2-2-2-2000022-2200002i2i−2i−2i0000000000000000002i−2i0000
χ2622222-2-2-2-2222222-2-2-2-2-2-2-2-2000022-220000−2i−2i2i2i000000000000000000−2i2i0000
χ2722222-2-2-2-2222-22-222-2-2-222-20000-222-200002i2i−2i−2i000000000000000000−2i2i0000
χ2822222-2-2-2-2222-22-222-2-2-222-20000-222-20000−2i−2i2i2i0000000000000000002i−2i0000
χ292222-12222-1-1-122222-1-1-1-1-1-12222-1-1-1-10000000022-1-1-122-1-1-1-1-1-1-1-1-100000000
χ302222-12222-1-1-122222-1-1-1-1-1-12222-1-1-1-100000000-2-2-111-2-2-1-1-111111100000000
χ312222-12222-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000221-1-1-2-2111-1-1111100000000
χ322222-12222-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-21112211111-1-1-1-100000000
χ332222-12222-1-1-1-22-2-2-2-1-1-111-12-22-21-111000000002-2-1-1-12-211-111-1-11100000000
χ342222-12222-1-1-1-22-2-2-2-1-1-111-12-22-21-11100000000-22-111-2211-1-1-111-1-100000000
χ352222-12222-1-1-1-22-2-2-2-1-1-111-1-22-221-111000000002-21-1-1-22-1-111111-1-100000000
χ362222-12222-1-1-1-22-2-2-2-1-1-111-1-22-221-11100000000-221112-2-1-11-1-1-1-11100000000
χ372222-122-2-2-1-1-12-2-2-22-11111-122-2-2-11-110000000000-1−i3i300-111−i3i3−i3i3−i3i300000000
χ382222-122-2-2-1-1-12-2-2-22-11111-122-2-2-11-110000000000-1i3−i300-111i3−i3i3−i3i3−i300000000
χ392222-122-2-2-1-1-12-2-2-22-11111-1-2-222-11-1100000000001−i3i3001-1-1−i3i3i3−i3i3−i300000000
χ402222-122-2-2-1-1-12-2-2-22-11111-1-2-222-11-1100000000001i3−i3001-1-1i3−i3−i3i3−i3i300000000
χ412222-122-2-2-1-1-1-2-222-2-111-1-1-12-2-22111-10000000000-1−i3i3001-11i3−i3−i3i3i3−i300000000
χ422222-122-2-2-1-1-1-2-222-2-111-1-1-12-2-22111-10000000000-1i3−i3001-11−i3i3i3−i3−i3i300000000
χ432222-122-2-2-1-1-1-2-222-2-111-1-1-1-222-2111-100000000001−i3i300-11-1i3−i3i3−i3−i3i300000000
χ442222-122-2-2-1-1-1-2-222-2-111-1-1-1-222-2111-100000000001i3−i300-11-1−i3i3−i3i3i3−i300000000
χ454444-2-4-444-2-2-24-4-44-42-2-2-2-220000-222200000000000000000000000000000000
χ464444-2-4-444-2-2-2-4-44-442-2-2222000022-2-200000000000000000000000000000000
χ474444-2-4-4-4-4-2-2-2444-4-42222220000-2-22-200000000000000000000000000000000
χ484444-2-4-4-4-4-2-2-2-44-444222-2-2200002-2-2200000000000000000000000000000000
χ494-44-44004-4-4-440000004-400000000000004i−4i0000000000000000000000000000
χ504-44-44004-4-4-440000004-40000000000000−4i4i0000000000000000000000000000
χ514-44-4400-44-4-44000000-44000000000004i−4i000000000000000000000000000000
χ524-44-4400-44-4-44000000-4400000000000−4i4i000000000000000000000000000000
χ534-4-4444-4004-4-40000040000-4000000000000−2i22i2−2i22i2000000000000000000000000
χ544-4-4444-4004-4-40000040000-40000000000002i2−2i22i2−2i2000000000000000000000000
χ554-4-444-44004-4-400000-40000400000000000022−22−2222000000000000000000000000
χ564-4-444-44004-4-400000-400004000000000000−222222−22000000000000000000000000
χ5788-8-880000-88-8000000000000000000000000000000000000000000000000000
χ5888-8-8-400004-440000000043−4300000000000000000000000000000000000000000
χ5988-8-8-400004-4400000000−434300000000000000000000000000000000000000000
χ608-88-8-4008-844-4000000-440000000000000000000000000000000000000000000
χ618-88-8-400-8844-40000004-40000000000000000000000000000000000000000000
χ628-8-88-48-800-44400000-4000040000000000000000000000000000000000000000
χ638-8-88-4-8800-4440000040000-40000000000000000000000000000000000000000

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