Finite Group Databasebeta

← Group #10780323

Character table — Group #10780323

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222244444444444888888881212121212121212161616161616161616161616161616162424242448484848
order1222344446662444466121212122444121212128888888844688121212121212122424242488882488
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ811111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1
χ9111111111111-1-11-1-1-1-111111-1-11-1-11-111-1-111111-111-11-1-111-1-111-1-11-1-1-11-11-1
χ10111111111111-1-11-1-1-1-111111-1-11-1-11-111-1-11111-111-111-1-1-1-111-1-1111-1-1-1-11-11
χ11111111111111-1-11-1-1-1-111111-1-11-1-11-1-1-111-1-1-1-11-111-11-1-111-1-111-1-1-1111-11-11
χ12111111111111-1-11-1-1-1-111111-1-11-1-11-1-1-111-1-1-1-1-111-111-1-1-1-111-1-111-11111-11-1
χ13111111111111-1-11-1-1-1-11111-111-1-1-11-111-1-1-1-1-1-11-1-1-11-11111-1-1-1-1111-1111-1-11
χ14111111111111-1-11-1-1-1-11111-111-1-1-11-111-1-1-1-1-1-1-11-11-1-111-1-11111-1-11-111-111-1
χ15111111111111-1-11-1-1-1-11111-111-1-1-11-1-1-11111111-1-1-11-11111-1-1-1-111-11-1-1-111-1
χ16111111111111-1-11-1-1-1-11111-111-1-1-11-1-1-1111111-11-11-1-111-1-11111-1-1-11-1-11-1-11
χ17222222-2-2222222-2-2-222-2-2222-22-22-2-2-20000000000200-2-220000000000000000
χ18222222-2-2222222-2-2-222-2-222-22-222-2-2-20000000000-20022-20000000000000000
χ19222222-2-22222-2-2-222-2-2-2-22222-2-2-22-220000000000200-22-20000000000000000
χ20222222-2-22222-2-2-222-2-2-2-222-2-222-22-220000000000-2002-220000000000000000
χ2122222-222-22222-2-2-222222-2-20000-22-2-222-2-200000000000000000000-22000000
χ2222222-222-22222-2-2-222222-2-20000-22-2-2-2-222000000000000000000002-2000000
χ2322222-222-2222-22-22-2-2-222-2-200002-2-22222200000000000000000000-2-2000000
χ2422222-222-2222-22-22-2-2-222-2-200002-2-22-2-2-2-20000000000000000000022000000
χ2522222-2-2-2-22222-222-222-2-2-2-20000-2-22200002i2i−2i−2i0000000000000000002i−2i0000
χ2622222-2-2-2-22222-222-222-2-2-2-20000-2-2220000−2i−2i2i2i000000000000000000−2i2i0000
χ2722222-2-2-2-2222-222-22-2-2-2-2-2-20000222-200002i2i−2i−2i000000000000000000−2i2i0000
χ2822222-2-2-2-2222-222-22-2-2-2-2-2-20000222-20000−2i−2i2i2i0000000000000000002i−2i0000
χ292222-12222-1-1-122222-1-1-1-1-1-12222-1-1-1-10000000022-122-1-1-1-1-1-1-1-1-1-1-100000000
χ302222-12222-1-1-122222-1-1-1-1-1-12222-1-1-1-100000000-2-2-1-2-2-1-1-11111111100000000
χ312222-12222-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000221-2-2111-1-1-1-1111100000000
χ322222-12222-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-21221111111-1-1-1-100000000
χ332222-12222-1-1-1-2-22-2-211-1-1-1-12-2-2211-11000000002-2-12-2-111-1-111-1-11100000000
χ342222-12222-1-1-1-2-22-2-211-1-1-1-12-2-2211-1100000000-22-1-22-11111-1-111-1-100000000
χ352222-12222-1-1-1-2-22-2-211-1-1-1-1-222-211-11000000002-21-221-1-1-1-11111-1-100000000
χ362222-12222-1-1-1-2-22-2-211-1-1-1-1-222-211-1100000000-2212-21-1-111-1-1-1-11100000000
χ372222-12-2-22-1-1-122-2-2-2-1-111-1-12-22-2-11110000000000-10011-1−i3i3−i3i3−i3i3−i3i300000000
χ382222-12-2-22-1-1-122-2-2-2-1-111-1-12-22-2-11110000000000-10011-1i3−i3i3−i3i3−i3i3−i300000000
χ392222-12-2-22-1-1-122-2-2-2-1-111-1-1-22-22-11110000000000100-1-11−i3i3−i3i3i3−i3i3−i300000000
χ402222-12-2-22-1-1-122-2-2-2-1-111-1-1-22-22-11110000000000100-1-11i3−i3i3−i3−i3i3−i3i300000000
χ412222-12-2-22-1-1-1-2-2-2221111-1-122-2-21-11-10000000000-1001-11−i3i3i3−i3−i3i3i3−i300000000
χ422222-12-2-22-1-1-1-2-2-2221111-1-122-2-21-11-10000000000-1001-11i3−i3−i3i3i3−i3−i3i300000000
χ432222-12-2-22-1-1-1-2-2-2221111-1-1-2-2221-11-10000000000100-11-1−i3i3i3−i3i3−i3−i3i300000000
χ442222-12-2-22-1-1-1-2-2-2221111-1-1-2-2221-11-10000000000100-11-1i3−i3−i3i3−i3i3i3−i300000000
χ454444-2-444-4-2-2-24-4-4-44-2-2-2-22200002-22200000000000000000000000000000000
χ464444-2-444-4-2-2-2-44-44-422-2-2220000-222-200000000000000000000000000000000
χ474444-2-4-4-4-4-2-2-24-444-4-2-22222000022-2-200000000000000000000000000000000
χ484444-2-4-4-4-4-2-2-2-444-442222220000-2-2-2200000000000000000000000000000000
χ4944-4-44400-44-4-40000000004-400000000000022−2222−22000000000000000000000000
χ5044-4-44400-44-4-40000000004-4000000000000−2222−2222000000000000000000000000
χ5144-4-44-40044-4-4000000000-44000000000000−2i22i22i2−2i2000000000000000000000000
χ5244-4-44-40044-4-4000000000-440000000000002i2−2i2−2i22i2000000000000000000000000
χ534-4-44404-40-44-400000004-40000000000004i−4i0000000000000000000000000000
χ544-4-44404-40-44-400000004-4000000000000−4i4i0000000000000000000000000000
χ554-4-4440-440-44-40000000-4400000000004i−4i000000000000000000000000000000
χ564-4-4440-440-44-40000000-440000000000−4i4i000000000000000000000000000000
χ5788-8-8-4800-8-444000000000-440000000000000000000000000000000000000000
χ5888-8-8-4-8008-4440000000004-40000000000000000000000000000000000000000
χ598-88-880000-8-88000000000000000000000000000000000000000000000000000
χ608-88-8-4000044-400000−4i34i300000000000000000000000000000000000000000000
χ618-88-8-4000044-4000004i3−4i300000000000000000000000000000000000000000000
χ628-8-88-408-804-440000000-44000000000000000000000000000000000000000000
χ638-8-88-40-8804-4400000004-4000000000000000000000000000000000000000000

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