Finite Group Databasebeta

← Group #10770220

Character table — Group #10770220

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222244444444444888888881616161616161616161616161616161624242424242424242424242424242424
order122222223666244446666121244446121212246688121212121212242424242444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111-1-11-1-1-1-1-1-11111
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-111-1111111-1-1-1-1
χ711111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111-1-11-1-11111-1-1-1-1
χ811111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-111-111-1-1-1-11111
χ911111-1-111111-1-1-11111-1-1111-11-1-11-1-11-1111-111-1-1-1-111-1-11-111-1-11-111-1-111-1-1
χ1011111-1-111111-1-1-11111-1-1111-11-1-11-1-11-1111-111-1-1-1-111-1-1-11-1-111-11-1-111-1-111
χ1111111-1-111111-1-1-11111-1-1111-11-1-11-1-1-11-1-1-1111-1-111-1-1111-111-1-11-1-1-111-1-111
χ1211111-1-111111-1-1-11111-1-1111-11-1-11-1-1-11-1-1-1111-1-111-1-111-11-1-111-1111-1-111-1-1
χ1311111-1-111111-1-1-11111-1-111-11-11-11-1-11-111-11-1-111-1-1-1-1111-11-11-1-11-1-11111-1-1
χ1411111-1-111111-1-1-11111-1-111-11-11-11-1-11-111-11-1-111-1-1-1-111-11-11-111-111-1-1-1-111
χ1511111-1-111111-1-1-11111-1-111-11-11-11-1-1-11-1-11-1-1-1111111-1-11-11-11-1-1111-1-1-1-111
χ1611111-1-111111-1-1-11111-1-111-11-11-11-1-1-11-1-11-1-1-1111111-1-1-11-11-111-1-1-11111-1-1
χ172222222222222-2-2-2-22222-2-200002-2-2-200000000000000000002-20-2200000000
χ182222222222222-2-2-2-22222-2-200002-2-2-20000000000000000000-2202-200000000
χ1922222222-1-1-1-122222-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-2-211-2-2-1-1-1-11111110000000000000000
χ2122222222-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-2-21111-1-111110000000000000000
χ2222222222-1-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-21122111111-1-1-1-10000000000000000
χ2322222-2-222222-222-2-222-2-2-2-20000-2-2220000000000000000000220-2-200000000
χ2422222-2-222222-222-2-222-2-2-2-20000-2-2220000000000000000000-2-202200000000
χ2522222-2-22-1-1-1-1-2-2-222-1-111-1-12-22-21-1112-2-1-12-2-1-11111-1-1110000000000000000
χ2622222-2-22-1-1-1-1-2-2-222-1-111-1-12-22-21-111-2211-22-1-111-1-111-1-10000000000000000
χ2722222-2-22-1-1-1-1-2-2-222-1-111-1-1-22-221-1112-2-1-1-2211-1-11111-1-10000000000000000
χ2822222-2-22-1-1-1-1-2-2-222-1-111-1-1-22-221-111-22112-211-1-1-1-1-1-1110000000000000000
χ292222-222-22222-22-22-2-2-2222222-2-2-2-22-20000002-22-20000000000000000000000
χ302222-222-22222-22-22-2-2-22222-2-222-2-22-2000000-22-220000000000000000000000
χ312222-222-22222-2-22-22-2-222-2-20000-22-22000000000000000022-200-20000000000
χ322222-222-22222-2-22-22-2-222-2-20000-22-220000000000000000-2-220020000000000
χ332222-222-2-1-1-1-1-22-22-211-1-1-1-122-2-211-1100−i3i300-11-11−i3i3−i3i3−i3i30000000000000000
χ342222-222-2-1-1-1-1-22-22-211-1-1-1-122-2-211-1100i3−i300-11-11i3−i3i3−i3i3−i30000000000000000
χ352222-222-2-1-1-1-1-22-22-211-1-1-1-1-2-22211-1100−i3i3001-11-1−i3i3i3−i3i3−i30000000000000000
χ362222-222-2-1-1-1-1-22-22-211-1-1-1-1-2-22211-1100i3−i3001-11-1i3−i3−i3i3−i3i30000000000000000
χ372222-2-2-2-2222222-2-22-2-2-2-2-2-20000222-200000000000000002-2-20020000000000
χ382222-2-2-2-2222222-2-22-2-2-2-2-2-20000222-20000000000000000-22200-20000000000
χ392222-2-2-2-222222-222-2-2-2-2-2222-2-222-2-220000002-2-220000000000000000000000
χ402222-2-2-2-222222-222-2-2-2-2-222-222-22-2-22000000-222-20000000000000000000000
χ412222-2-2-2-2-1-1-1-12-222-21111-1-12-2-22-111-100−i3i300-111-1i3−i3−i3i3i3−i30000000000000000
χ422222-2-2-2-2-1-1-1-12-222-21111-1-12-2-22-111-100i3−i300-111-1−i3i3i3−i3−i3i30000000000000000
χ432222-2-2-2-2-1-1-1-12-222-21111-1-1-222-2-111-100−i3i3001-1-11i3−i3i3−i3−i3i30000000000000000
χ442222-2-2-2-2-1-1-1-12-222-21111-1-1-222-2-111-100i3−i3001-1-11−i3i3−i3i3i3−i30000000000000000
χ4544444444-2-2-2-24-4-4-4-4-2-2-2-2220000-222200000000000000000000000000000000
χ4644444-4-44-2-2-2-2-444-4-4-2-22222000022-2-200000000000000000000000000000000
χ474444-444-4-2-2-2-2-4-44-4422-2-22200002-22-200000000000000000000000000000000
χ484444-4-4-4-4-2-2-2-244-4-442222220000-2-2-2200000000000000000000000000000000
χ4944-4-404-404-44-400000004-400000000000000000000000000000000002i−2i2i−2i0000
χ5044-4-404-404-44-400000004-40000000000000000000000000000000000−2i2i−2i2i0000
χ5144-4-40-4404-44-40000000-4400000000000000000000000000000000002i−2i−2i2i0000
χ5244-4-40-4404-44-40000000-440000000000000000000000000000000000−2i2i2i−2i0000
χ534-44-4400-444-4-4000004-4000000000000000000000000000000000000000022−2200
χ544-44-4400-444-4-4000004-40000000000000000000000000000000000000000−222200
χ554-44-4-400444-4-400000-44000000000000000000000000000000000000000000−2i22i2
χ564-44-4-400444-4-400000-440000000000000000000000000000000000000000002i2−2i2
χ5788-8-808-80-44-440000000-44000000000000000000000000000000000000000000
χ5888-8-80-880-44-4400000004-4000000000000000000000000000000000000000000
χ598-88-8800-8-4-44400000-4400000000000000000000000000000000000000000000
χ608-88-8-8008-4-444000004-400000000000000000000000000000000000000000000
χ618-8-8800008-8-88000000000000000000000000000000000000000000000000000
χ628-8-880000-444-4000000000−4i34i30000000000000000000000000000000000000000
χ638-8-880000-444-40000000004i3−4i30000000000000000000000000000000000000000

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