Finite Group Databasebeta

← Group #10767818

Character table — Group #10767818

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222222222444444444444448888888888888888881212121216161616161616161616242424242424242424244848
order122222222236664444666666121212122444444412121212121212121212224468812121224242424222222444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-11111-1-11-1-1-1
χ61111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1111
χ71111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-111111-1-1-1-1-1-1-11-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-11111111-11-1-1
χ911111-1-1-1-111111-1-1111-1-1-1-11-1-11111-1-111-1-11-11111-1-1-1-111-1-111-11-1-111-1-1-1111-1-11-11-11-1
χ1011111-1-1-1-111111-1-1111-1-1-1-11-1-11111-1-111-1-11-11111-1-1-1-1-1-11111-11-1-111-1-11-1-1-111-11-11-11
χ1111111-1-1-1-111111-1-1111-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-1111111-1-11-111-1-1-1-111-11-1-1111-11-1-11
χ1211111-1-1-1-111111-1-1111-1-1-1-11-1-11111-1-1-1-1111-1-1-1-1-11111-1-1111-111-1-1-1-1111-111-1-1-11-111-1
χ1311111-1-1-1-111111-1-1111-1-1-1-11-1-111-1-11111-1-11-11111-1-1-1-111-1-1-1-11-111-1-111-1-111-1-1-1111-11
χ1411111-1-1-1-111111-1-1111-1-1-1-11-1-111-1-11111-1-11-11111-1-1-1-1-1-111-1-11-111-1-11111-1-1111-1-1-11-1
χ1511111-1-1-1-111111-1-1111-1-1-1-11-1-111-1-111-1-1111-1-1-1-1-1111111-1-1-11-1-11111-1-1-1-1-1-111-11111-1
χ1611111-1-1-1-111111-1-1111-1-1-1-11-1-111-1-111-1-1111-1-1-1-1-11111-1-111-11-1-11111-1-11111-1-11-1-1-1-11
χ1722222222222222-2-2-2-2222222-2-2-2-200000000-2-20000000022-2-2000000000020000000-2000
χ1822222222222222-2-2-2-2222222-2-2-2-200000000-2-200000000-2-2220000000000-200000002000
χ192222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-122-1-1-1-1-1-1-1000000000000
χ202222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-1111111110000-1-2-2-1-1-11111000000000000
χ212222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-100001-2-21111111000000000000
χ222222222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000122111-1-1-1-1000000000000
χ2322222-2-2-2-22222222-2-22-2-2-2-2222-2-200000000-220000000022220000000000-20000000-2000
χ2422222-2-2-2-22222222-2-22-2-2-2-2222-2-200000000-2200000000-2-2-2-20000000000200000002000
χ2522222-2-2-2-22-1-1-1-1-2-222-11111-111-1-122-2-222-2-2-11-1-1-1-111110000-12-2-111-1-111000000000000
χ2622222-2-2-2-22-1-1-1-1-2-222-11111-111-1-122-2-2-2-222-111111-1-1-1-10000-1-22-11111-1-1000000000000
χ2722222-2-2-2-22-1-1-1-1-2-222-11111-111-1-1-2-22222-2-2-11-1-1-1-1111100001-221-1-111-1-1000000000000
χ2822222-2-2-2-22-1-1-1-1-2-222-11111-111-1-1-2-222-2-222-111111-1-1-1-1000012-21-1-1-1-111000000000000
χ292222-222-2-2-222222-22-2-222-2-2-2222200000000-2-20000000000000000000000020000-2-20200
χ302222-222-2-2-222222-22-2-222-2-2-2222200000000-2-200000000000000000000000-20000220-200
χ312222-222-2-2-22222-22-22-222-2-2-2-2-2-2-22-2-22000022000000000000200-22-20000000000000000
χ322222-222-2-2-22222-22-22-222-2-2-2-2-2-2-2-222-2000022000000000000-2002-220000000000000000
χ332222-222-2-2-2-1-1-1-1-22-221-1-111111112-2-220000-1-133−3−333−3−30000-1001-113−33−3000000000000
χ342222-222-2-2-2-1-1-1-1-22-221-1-111111112-2-220000-1-1−3−333−3−3330000-1001-11−33−33000000000000
χ352222-222-2-2-2-1-1-1-1-22-221-1-11111111-222-20000-1-133−3−333−3−30000100-11-1−33−33000000000000
χ362222-222-2-2-2-1-1-1-1-22-221-1-11111111-222-20000-1-1−3−333−3−3330000100-11-13−33−3000000000000
χ372222-2-2-222-222222-2-22-2-2-222-222-2-22-22-200002-2000000000000200-2-220000000000000000
χ382222-2-2-222-222222-2-22-2-2-222-222-2-2-22-2200002-2000000000000-20022-20000000000000000
χ392222-2-2-222-22222-222-2-2-2-222-2-2-22200000000-220000000000000000000000020000-220-200
χ402222-2-2-222-22222-222-2-2-2-222-2-2-22200000000-2200000000000000000000000-200002-20200
χ412222-2-2-222-2-1-1-1-12-2-22111-1-11-1-1112-22-20000-1133−3−3−3−3330000-10011-13−3−33000000000000
χ422222-2-2-222-2-1-1-1-12-2-22111-1-11-1-1112-22-20000-11−3−33333−3−30000-10011-1−333−3000000000000
χ432222-2-2-222-2-1-1-1-12-2-22111-1-11-1-111-22-220000-1133−3−3−3−3330000100-1-11−333−3000000000000
χ442222-2-2-222-2-1-1-1-12-2-22111-1-11-1-111-22-220000-11−3−33333−3−30000100-1-113−3−33000000000000
χ454444444444-2-2-2-2-4-4-4-4-2-2-2-2-2-2222200000000220000000000000000000000000000000000
χ4644444-4-4-4-44-2-2-2-244-4-4-22222-2-2-222000000002-20000000000000000000000000000000000
χ474444-444-4-4-4-2-2-2-24-44-42-2-2222-2-2-2-200000000220000000000000000000000000000000000
χ484444-4-4-444-4-2-2-2-2-444-4222-2-2222-2-2000000002-20000000000000000000000000000000000
χ4944-4-440000-444-4-4000040000-40000000000000000000000004i−4i0000000000000000000000
χ5044-4-440000-444-4-4000040000-4000000000000000000000000−4i4i0000000000000000000000
χ5144-4-4-40000444-4-40000-40000400000000000000000000004-4000000000000000000000000
χ5244-4-4-40000444-4-40000-4000040000000000000000000000-44000000000000000000000000
χ534-44-40004-404-4-4400000004-40000000000000000000000000000000000000002-22-2000000
χ544-44-40004-404-4-4400000004-4000000000000000000000000000000000000000-22-22000000
χ554-44-4000-4404-4-440000000-440000000000000000000000000000000000000002-2-22000000
χ564-44-4000-4404-4-440000000-44000000000000000000000000000000000000000-222-2000000
χ574-4-4404-40004-44-4000004-4000000000002-22-2002-22-22-22-200000000000000000000000000
χ584-4-4404-40004-44-4000004-400000000000-22-2200-22-22-22-2200000000000000000000000000
χ594-4-4404-4000-22-2200000-2200023−2323−2300002-22-200−1+31−3−1−31+3−1+31−3−1−31+300000000000000000000000000
χ604-4-4404-4000-22-2200000-2200023−2323−230000-22-22001−3−1+31+3−1−31−3−1+31+3−1−300000000000000000000000000
χ614-4-4404-4000-22-2200000-22000−2323−232300002-22-200−1−31+3−1+31−3−1−31+3−1+31−300000000000000000000000000
χ624-4-4404-4000-22-2200000-22000−2323−23230000-22-22001+3−1−31−3−1+31+3−1−31−3−1+300000000000000000000000000
χ634-4-440-440004-44-400000-44000000000002-2-22002-22-2-22-2200000000000000000000000000
χ644-4-440-440004-44-400000-4400000000000-222-200-22-222-22-200000000000000000000000000
χ654-4-440-44000-22-22000002-200023−23−232300002-2-2200−1−31+3−1+31−31+3−1−31−3−1+300000000000000000000000000
χ664-4-440-44000-22-22000002-200023−23−23230000-222-2001+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000000000
χ674-4-440-44000-22-22000002-2000−232323−2300002-2-2200−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000000000
χ684-4-440-44000-22-22000002-2000−232323−230000-222-2001−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000000000
χ6988-8-880000-8-4-4440000-400004000000000000000000000000000000000000000000000000
χ7088-8-8-800008-4-444000040000-4000000000000000000000000000000000000000000000000
χ718-88-80008-80-444-40000000-440000000000000000000000000000000000000000000000000
χ728-88-8000-880-444-400000004-40000000000000000000000000000000000000000000000000

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