Finite Group Databasebeta

← Group #10770352

Character table — Group #10770352

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222222244444444444888888881616161616161616161616161616161624242424242424242424242424242424
order122222344666444446612121212444412121212246688121212121212242424242244444444448888
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
χ511111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11-11-11-11-11111-1-1-1-1
χ611111111111111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-11-11-11-11-1-1-1-11111
χ711111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111-11-11-11-1-1-1-1-11111
χ811111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-11-11-11-111111-1-1-1-1
χ91111111-1-1111-1-1-11111-1-1111-11-1-1-1-111-1111-11-11-1-1-111-1-111-111-1-1-111-1-111-1-1
χ101111111-1-1111-1-1-11111-1-1111-11-1-1-1-111-1111-11-11-1-1-111-1-1-1-11-1-1111-1-111-1-111
χ111111111-1-1111-1-1-11111-1-1111-11-1-1-1-11-11-1-1-111-11-111-1-11111-111-1-1-1-1-111-1-111
χ121111111-1-1111-1-1-11111-1-1111-11-1-1-1-11-11-1-1-111-11-111-1-111-1-11-1-111111-1-111-1-1
χ131111111-1-1111-1-1-11111-1-111-11-11-1-1-111-111-11-11-11-1-1-1-1111-1-1-111-1111-1-1-1-111
χ141111111-1-1111-1-1-11111-1-111-11-11-1-1-111-111-11-11-11-1-1-1-111-1111-1-11-1-1-11111-1-1
χ151111111-1-1111-1-1-11111-1-111-11-11-1-1-11-11-1-11-1-11-111111-1-11-1-1-111-11-1-11111-1-1
χ161111111-1-1111-1-1-11111-1-111-11-11-1-1-11-11-1-11-1-11-111111-1-1-1111-1-11-111-1-1-1-111
χ172222222222222-2-2-2-22222-2-200002-2-2-2000000000000000020-20-202000000000
χ182222222222222-2-2-2-22222-2-200002-2-2-20000000000000000-202020-2000000000
χ192222222-2-2222-222-2-222-2-2-2-20000-222-200000000000000002020-20-2000000000
χ202222222-2-2222-222-2-222-2-2-2-20000-222-20000000000000000-20-20202000000000
χ21222222-122-1-1-122222-1-1-1-1-1-12222-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000000000000000
χ22222222-122-1-1-122222-1-1-1-1-1-12222-1-1-1-1-2-211-2-2-1-1-1-11111110000000000000000
χ23222222-122-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-122-1-1-2-21111-1-111110000000000000000
χ24222222-122-1-1-122222-1-1-1-1-1-1-2-2-2-2-1-1-1-1-2-21122111111-1-1-1-10000000000000000
χ25222222-1-2-2-1-1-1-2-2-222-1-111-1-12-22-2111-12-2-1-12-2-11-1111-1-1110000000000000000
χ26222222-1-2-2-1-1-1-2-2-222-1-111-1-12-22-2111-1-2211-22-11-11-1-111-1-10000000000000000
χ27222222-1-2-2-1-1-1-2-2-222-1-111-1-1-22-22111-12-2-1-1-221-11-11111-1-10000000000000000
χ28222222-1-2-2-1-1-1-2-2-222-1-111-1-1-22-22111-1-22112-21-11-1-1-1-1-1110000000000000000
χ292222-2-2222222-22-22-2-2-222222-2-22-22-2-20000002-2-220000000000000000000000
χ302222-2-2222222-22-22-2-2-22222-222-2-22-2-2000000-222-20000000000000000000000
χ312222-2-2222222-2-22-22-2-222-2-20000-2-2220000000000000000020-20-20200000000
χ322222-2-2222222-2-22-22-2-222-2-20000-2-22200000000000000000-202020-200000000
χ332222-2-22-2-222222-2-22-2-2-2-2-2-2000022-220000000000000000020-2020-200000000
χ342222-2-22-2-222222-2-22-2-2-2-2-2-2000022-2200000000000000000-2020-20200000000
χ352222-2-22-2-22222-222-2-2-2-2-22222-2-22-22-200000022-2-20000000000000000000000
χ362222-2-22-2-22222-222-2-2-2-2-222-2-2222-22-2000000-2-2220000000000000000000000
χ372222-2-2-122-1-1-1-22-22-211-1-1-1-12-2-221-11100−i3i300-111-1−i3i3−i3i3−i3i30000000000000000
χ382222-2-2-122-1-1-1-22-22-211-1-1-1-12-2-221-11100i3−i300-111-1i3−i3i3−i3i3−i30000000000000000
χ392222-2-2-122-1-1-1-22-22-211-1-1-1-1-222-21-11100−i3i3001-1-11−i3i3i3−i3i3−i30000000000000000
χ402222-2-2-122-1-1-1-22-22-211-1-1-1-1-222-21-11100i3−i3001-1-11i3−i3−i3i3−i3i30000000000000000
χ412222-2-2-1-2-2-1-1-12-222-21111-1-122-2-2-11-1100−i3i300-1-111i3−i3−i3i3i3−i30000000000000000
χ422222-2-2-1-2-2-1-1-12-222-21111-1-122-2-2-11-1100i3−i300-1-111−i3i3i3−i3−i3i30000000000000000
χ432222-2-2-1-2-2-1-1-12-222-21111-1-1-2-222-11-1100−i3i30011-1-1i3−i3i3−i3−i3i30000000000000000
χ442222-2-2-1-2-2-1-1-12-222-21111-1-1-2-222-11-1100i3−i30011-1-1−i3i3−i3i3i3−i30000000000000000
χ45444444-244-2-2-24-4-4-4-4-2-2-2-2220000-222200000000000000000000000000000000
χ46444444-2-4-4-2-2-2-444-4-4-2-2222200002-2-2200000000000000000000000000000000
χ474444-4-4-244-2-2-2-4-44-4422-2-222000022-2-200000000000000000000000000000000
χ484444-4-4-2-4-4-2-2-244-4-442222220000-2-22-200000000000000000000000000000000
χ4944-4-44-44004-4-4000004-4000000000000000000000000000000000000000022−2200
χ5044-4-44-44004-4-4000004-40000000000000000000000000000000000000000−222200
χ5144-4-4-444004-4-400000-44000000000000000000000000000000000000000000−2i22i2
χ5244-4-4-444004-4-400000-440000000000000000000000000000000000000000002i2−2i2
χ534-44-40044i−4i-44-400000004i−4i00000000000000000000000000000000002-22i−2i0000
χ544-44-40044i−4i-44-400000004i−4i0000000000000000000000000000000000-22−2i2i0000
χ554-44-4004−4i4i-44-40000000−4i4i00000000000000000000000000000000002-2−2i2i0000
χ564-44-4004−4i4i-44-40000000−4i4i0000000000000000000000000000000000-222i−2i0000
χ5788-8-88-8-400-44400000-4400000000000000000000000000000000000000000000
χ5888-8-8-88-400-444000004-400000000000000000000000000000000000000000000
χ598-88-800-48i−8i4-440000000−4i4i000000000000000000000000000000000000000000
χ608-88-800-4−8i8i4-4400000004i−4i000000000000000000000000000000000000000000
χ618-8-8800800-8-88000000000000000000000000000000000000000000000000000
χ628-8-8800-40044-4000000000−4i34i30000000000000000000000000000000000000000
χ638-8-8800-40044-40000000004i3−4i30000000000000000000000000000000000000000

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