Finite Group Databasebeta

← Group #10776642

Character table — Group #10776642

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222244444444444888888881616161616161616161616161616161624242424242424242424242424242424
order12223444466624444121212121212224461212122466668812121212242424242224444488888888
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-111-1-1-111-11111-1-1-1-1
χ611111111111111111111111-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1111-1-11-1-1-1-11111
χ711111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-1-1-1-11111
χ811111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1111-1-111111-1-1-1-1
χ911111-1-1-1-1111-1-1111-1-1-1-1111-11-1-11-111-11-1111-11-1-1-111-1-11-111-11-1-111-1-111-1-1
χ1011111-1-1-1-1111-1-1111-1-1-1-1111-11-1-11-111-11-1111-11-1-1-111-1-1-11-1-11-111-1-111-1-111
χ1111111-1-1-1-1111-1-1111-1-1-1-1111-11-1-11-11-111-1-1-1-111-111-1-1111-111-11-1-1-1-111-1-111
χ1211111-1-1-1-1111-1-1111-1-1-1-1111-11-1-11-11-111-1-1-1-111-111-1-111-11-1-11-11111-1-111-1-1
χ1311111-1-1-1-1111-1-1111-1-1-1-111-11-11-11-111-1-1111-11-11-1-1-1-1111-1-1-111-1111-1-1-1-111
χ1411111-1-1-1-1111-1-1111-1-1-1-111-11-11-11-111-1-1111-11-11-1-1-1-111-1111-1-11-1-1-11111-1-1
χ1511111-1-1-1-1111-1-1111-1-1-1-111-11-11-11-11-11-11-1-11-1-111111-1-11-1-1-111-11-1-11111-1-1
χ1611111-1-1-1-1111-1-1111-1-1-1-111-11-11-11-11-11-11-1-11-1-111111-1-1-1111-1-11-111-1-1-1-111
χ17222222222222-2-2-22-22222-2-20000-22-2-20000000000000000002-2-200200000000
χ18222222222222-2-2-22-22222-2-20000-22-2-2000000000000000000-22200-200000000
χ192222222-2-22222-22-2-222-2-2222-2-222-2-2-2002-20000-220000000000000000000000
χ202222222-2-22222-22-2-222-2-222-222-22-2-2-200-2200002-20000000000000000000000
χ212222222-2-2222-22-2-2222-2-2-2-20000-2-22200000000000000002-2000-22000000000
χ222222222-2-2222-22-2-2222-2-2-2-20000-2-2220000000000000000-220002-2000000000
χ2322222-2-2222222-2-2-22-2-222-2-200002-2-22000000000000000022000-2-2000000000
χ2422222-2-2222222-2-2-22-2-222-2-200002-2-220000000000000000-2-200022000000000
χ2522222-2-222222-222-2-2-2-2222222-2-2-2-22-200220000-2-20000000000000000000000
χ2622222-2-222222-222-2-2-2-22222-2-222-2-22-200-2-20000220000000000000000000000
χ2722222-2-2-2-222222-22-2-2-2-2-2-2-20000222-20000000000000000002-2200-200000000
χ2822222-2-2-2-222222-22-2-2-2-2-2-2-20000222-2000000000000000000-22-200200000000
χ292222-12222-1-1-122222-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-10000000000000000
χ302222-12222-1-1-122222-1-1-1-1-1-12222-1-1-1-1-2-2-1-111-2-2-1-11111110000000000000000
χ312222-12222-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-12211-1-1-2-211-1-111110000000000000000
χ322222-12222-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-21111221111-1-1-1-10000000000000000
χ332222-122-2-2-1-1-12-22-2-2-1-111-1-12-2-22-111100-11−i3i3001-1−i3i3−i3i3−i3i30000000000000000
χ342222-122-2-2-1-1-12-22-2-2-1-111-1-12-2-22-111100-11i3−i3001-1i3−i3i3−i3i3−i30000000000000000
χ352222-122-2-2-1-1-12-22-2-2-1-111-1-1-222-2-1111001-1−i3i300-11−i3i3i3−i3i3−i30000000000000000
χ362222-122-2-2-1-1-12-22-2-2-1-111-1-1-222-2-1111001-1i3−i300-11i3−i3−i3i3−i3i30000000000000000
χ372222-1-2-222-1-1-1-222-2-211-1-1-1-122-2-211-1100-1-1−i3i30011i3−i3−i3i3i3−i30000000000000000
χ382222-1-2-222-1-1-1-222-2-211-1-1-1-122-2-211-1100-1-1i3−i30011−i3i3i3−i3−i3i30000000000000000
χ392222-1-2-222-1-1-1-222-2-211-1-1-1-1-2-22211-110011−i3i300-1-1i3−i3i3−i3−i3i30000000000000000
χ402222-1-2-222-1-1-1-222-2-211-1-1-1-1-2-22211-110011i3−i300-1-1−i3i3−i3i3i3−i30000000000000000
χ412222-1-2-2-2-2-1-1-1-2-22221111-1-12-22-21-11-12-2-11-1-12-2-1111-1-1110000000000000000
χ422222-1-2-2-2-2-1-1-1-2-22221111-1-12-22-21-11-1-22-1111-22-11-1-111-1-10000000000000000
χ432222-1-2-2-2-2-1-1-1-2-22221111-1-1-22-221-11-12-21-1-1-1-221-11111-1-10000000000000000
χ442222-1-2-2-2-2-1-1-1-2-22221111-1-1-22-221-11-1-221-1112-21-1-1-1-1-1110000000000000000
χ454444-24444-2-2-2-4-4-44-4-2-2-2-22200002-22200000000000000000000000000000000
χ464444-244-4-4-2-2-2-44-4-44-2-22222000022-2-200000000000000000000000000000000
χ474444-2-4-444-2-2-24-4-4-4422-2-2220000-222-200000000000000000000000000000000
χ484444-2-4-4-4-4-2-2-244-44-42222220000-2-2-2200000000000000000000000000000000
χ4944-4-444i−4i004-4-4000004i−4i00000000000000000000000000000000000000002-22i−2i
χ5044-4-444i−4i004-4-4000004i−4i0000000000000000000000000000000000000000-22−2i2i
χ5144-4-44−4i4i004-4-400000−4i4i00000000000000000000000000000000000000002-2−2i2i
χ5244-4-44−4i4i004-4-400000−4i4i0000000000000000000000000000000000000000-222i−2i
χ534-4-444004-4-44-400000004-400000000000000000000000000000000002-22-20000
χ544-4-444004-4-44-400000004-40000000000000000000000000000000000-22-220000
χ554-4-44400-44-44-40000000-4400000000000000000000000000000000002-2-220000
χ564-4-44400-44-44-40000000-440000000000000000000000000000000000-222-20000
χ5788-8-8-48i−8i00-44400000−4i4i00000000000000000000000000000000000000000000
χ5888-8-8-4−8i8i00-444000004i−4i00000000000000000000000000000000000000000000
χ598-88-880000-8-88000000000000000000000000000000000000000000000000000
χ608-88-8-4000044-4000000000−4i34i30000000000000000000000000000000000000000
χ618-88-8-4000044-40000000004i3−4i30000000000000000000000000000000000000000
χ628-8-88-4008-84-440000000-44000000000000000000000000000000000000000000
χ638-8-88-400-884-4400000004-4000000000000000000000000000000000000000000

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