Finite Group Databasebeta

← Group #10833365

Character table — Group #10833365

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444444448888888888881212121212121212161616161616161616161616242424242424242424242424
order12222222344444466622244466661212121212122466666121212121244444444246688121224242424244444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111-1-11-1-11111111111-1-11-1-1-1-11-1-1-1-1111111111111-1-111-1-1-1-1-1-111-111-1-1-1-1-1
χ61111111111111111111-1-11-1-11111111111-1-11-1-1-1-11-1-1-1-111111111-1-1-1-111-1-1111111-1-11-1-11-1-1-1-1
χ71111111111111111111-1-11-1-11111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11-1-111111
χ81111111111111111111-1-11-1-11111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-111-11111
χ911111-1-1111-1-1111111-111-11111-1-111-1-111-1-1-111-1-1-111-1-11111-1-1-1-11-1111-1-1-111-1-11-1-1-1-111111-1-1
χ1011111-1-1111-1-1111111-111-11111-1-111-1-111-1-1-111-1-1-111-1-11111-1-1-1-1-11-1-1-1111-1-111-11111-1-1-111-1-1
χ1111111-1-1111-1-1111111-111-11111-1-111-1-111-1-1-111-1-1-111-1-1-1-1-1-111111-1111-1-1-111-1-1-11111-1-1-1-1-111
χ1211111-1-1111-1-1111111-111-11111-1-111-1-111-1-1-111-1-1-111-1-1-1-1-1-11111-11-1-1-1111-1-1111-1-1-1-1111-1-111
χ1311111-1-1111-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-1111111-1-1-1-11-111-11-1-1-1-111-11-1-1111-1-1-111
χ1411111-1-1111-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-1111111-1-1-1-1-11-1-11-11111-1-11-111-1-1-11-1-111
χ1511111-1-1111-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-111-1-1-1-111111-111-11-1-1-1-1111-111-1-1-1111-1-1
χ1611111-1-1111-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-1-111-1-1-111-1-1-1-11111-11-1-11-11111-1-1-11-1-1111-111-1-1
χ17222222222-2-2-2-2-2-2222200-2002222-2-2-2-2-2-20020000-2000000000000000000000000002-202-200000
χ18222222222-2-2-2-2-2-2222200-2002222-2-2-2-2-2-20020000-200000000000000000000000000-220-2200000
χ1922222222-1222222-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-10000000022-1-122-1-1-1-1-1-1000000000000
χ2022222222-1222222-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000-2-211-2-2111111000000000000
χ2122222222-1222222-1-1-12-2-22-2-2-1-1-1-1-1-1-1-1-1-1-2-2-11111-111110000000022-1-1-2-2-1-11111000000000000
χ2222222222-1222222-1-1-12-2-22-2-2-1-1-1-1-1-1-1-1-1-1-2-2-11111-1111100000000-2-2112211-1-1-1-1000000000000
χ2322222-2-222-222-2-2-2222-20020022-2-2-2-222-2-200-200002000000000000000000000000002-20-2200000
χ2422222-2-222-222-2-2-2222-20020022-2-2-2-222-2-200-20000200000000000000000000000000-2202-200000
χ2522222-2-22-12-2-2222-1-1-1-222-222-1-111-1-111-1-1-2-21-1-1111-1-111000000002-2-1-12-211-1-111000000000000
χ2622222-2-22-12-2-2222-1-1-1-222-222-1-111-1-111-1-1-2-21-1-1111-1-11100000000-2211-22-1-111-1-1000000000000
χ2722222-2-22-12-2-2222-1-1-1-2-2-2-2-2-2-1-111-1-111-1-122111-1-1111-1-1000000002-2-1-1-221111-1-1000000000000
χ2822222-2-22-12-2-2222-1-1-1-2-2-2-2-2-2-1-111-1-111-1-122111-1-1111-1-100000000-22112-2-1-1-1-111000000000000
χ292222-222-22222-2-22222-200-200-2-2222222-2-200-20000-20000000000000000000000002200-200-20000
χ302222-222-22222-2-22222-200-200-2-2222222-2-200-20000-2000000000000000000000000-2-20020020000
χ312222-222-22-2-2-222-2222-2222-2-2-2-222-2-2-2-2222-2-222222-2-2-2-200000000000000000000000000000000
χ322222-222-22-2-2-222-2222-2-2-2222-2-222-2-2-2-222-22-2-2-2-2-22222200000000000000000000000000000000
χ332222-222-2-1-2-2-222-2-1-1-1-2222-2-211-1-11111-1-12-21-1-1-1-1-111110000000000−i3i300−i3i3−i3i3−i3i3000000000000
χ342222-222-2-1-2-2-222-2-1-1-1-2222-2-211-1-11111-1-12-21-1-1-1-1-111110000000000i3−i300i3−i3i3−i3i3−i3000000000000
χ352222-222-2-1-2-2-222-2-1-1-1-2-2-222211-1-11111-1-1-2211111-1-1-1-1-10000000000−i3i300−i3i3i3−i3i3−i3000000000000
χ362222-222-2-1-2-2-222-2-1-1-1-2-2-222211-1-11111-1-1-2211111-1-1-1-1-10000000000i3−i300i3−i3−i3i3−i3i3000000000000
χ372222-2-2-2-222-2-2-2-22222200200-2-2-2-222-2-2-2-2002000020000000000000000000000002-200200-20000
χ382222-2-2-2-222-2-2-2-22222200200-2-2-2-222-2-2-2-200200002000000000000000000000000-2200-20020000
χ392222-2-2-2-22-22222-2222222-2-2-2-2-2-2-2-2-22222-22222-2-2-2-2-22200000000000000000000000000000000
χ402222-2-2-2-22-22222-22222-2-2-222-2-2-2-2-2-222222-22-2-222-222-2-200000000000000000000000000000000
χ412222-2-2-2-2-1-22222-2-1-1-1222-2-2-2111111-1-1-1-1-22-1-1-111111-1-10000000000−i3i300i3−i3−i3i3i3−i3000000000000
χ422222-2-2-2-2-1-22222-2-1-1-1222-2-2-2111111-1-1-1-1-22-1-1-111111-1-10000000000i3−i300−i3i3i3−i3−i3i3000000000000
χ432222-2-2-2-2-1-22222-2-1-1-12-2-2-222111111-1-1-1-12-2-111-1-11-1-1110000000000−i3i300i3−i3i3−i3−i3i3000000000000
χ442222-2-2-2-2-1-22222-2-1-1-12-2-2-222111111-1-1-1-12-2-111-1-11-1-1110000000000i3−i300−i3i3−i3i3i3−i3000000000000
χ452-2-22200-222002-2-2-2-2202-202-22-2002-2002-20002-20002-20000002i2i−2i−2i00000000000000000000002i−2i
χ462-2-22200-222002-2-2-2-2202-202-22-2002-2002-20002-20002-2000000−2i−2i2i2i0000000000000000000000−2i2i
χ472-2-22200-222002-2-2-2-220-220-222-2002-2002-2000-22000-220000002i2i−2i−2i0000000000000000000000−2i2i
χ482-2-22200-222002-2-2-2-220-220-222-2002-2002-2000-22000-22000000−2i−2i2i2i00000000000000000000002i−2i
χ492-2-22-20022-2002-22-2-2202-20-22-2200-22002-20002-2000-220022-2-20000000000000000000000002-200
χ502-2-22-20022-2002-22-2-2202-20-22-2200-22002-20002-2000-2200-2-222000000000000000000000000-2200
χ512-2-22-20022-2002-22-2-220-2202-2-2200-22002-2000-220002-20022-2-2000000000000000000000000-2200
χ522-2-22-20022-2002-22-2-220-2202-2-2200-22002-2000-220002-200-2-2220000000000000000000000002-200
χ5344444444-2-4-4-4-4-4-4-2-2-2400-400-2-2-2-222222200-200002000000000000000000000000000000000000
χ5444444-4-44-2-444-4-4-4-2-2-2-400400-2-22222-2-2220020000-2000000000000000000000000000000000000
χ554444-444-4-2444-4-44-2-2-2-400-40022-2-2-2-2-2-22200200002000000000000000000000000000000000000
χ564444-4-4-4-4-24-4-4-4-44-2-2-24004002222-2-2222200-20000-2000000000000000000000000000000000000
χ5744-4-404-404000000-44-4000000004-40000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ5844-4-404-404000000-44-4000000004-4000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ5944-4-40-4404000000-44-400000000-440000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ6044-4-40-4404000000-44-400000000-44000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ614-44-40000404i−4i0004-4-40000000000004i−4i000000000000002i−2i−2i2i2-2-22000000000000000000000000
χ624-44-40000404i−4i0004-4-40000000000004i−4i00000000000000−2i2i2i−2i-222-2000000000000000000000000
χ634-44-4000040−4i4i0004-4-4000000000000−4i4i000000000000002i−2i−2i2i-222-2000000000000000000000000
χ644-44-4000040−4i4i0004-4-4000000000000−4i4i00000000000000−2i2i2i−2i2-2-22000000000000000000000000
χ654-4-44400-44-400-444-4-440000004-400-4400-4400000000000000000000000000000000000000000000
χ664-4-44400-4-24004-4-422-204-404-4-2200-2200-22000-22000-220000000000000000000000000000000000
χ674-4-44400-4-24004-4-422-20-440-44-2200-2200-220002-20002-20000000000000000000000000000000000
χ684-4-44400-4-2-400-44422-2000000-22002-2002-200000−2i32i3000−2i32i300000000000000000000000000000000
χ694-4-44400-4-2-400-44422-2000000-22002-2002-2000002i3−2i30002i3−2i300000000000000000000000000000000
χ704-4-44-40044400-44-4-4-44000000-44004-400-4400000000000000000000000000000000000000000000
χ714-4-44-4004-2400-44-422-20000002-200-22002-200000−2i32i30002i3−2i300000000000000000000000000000000
χ724-4-44-4004-2400-44-422-20000002-200-22002-2000002i3−2i3000−2i32i300000000000000000000000000000000
χ734-4-44-4004-2-4004-4422-204-40-442-2002-200-22000-220002-20000000000000000000000000000000000
χ744-4-44-4004-2-4004-4422-20-4404-42-2002-200-220002-2000-220000000000000000000000000000000000
χ7588-8-808-80-40000004-4400000000-4400000000000000000000000000000000000000000000000000
χ7688-8-80-880-40000004-44000000004-400000000000000000000000000000000000000000000000000
χ778-88-80000-408i−8i000-444000000000000−4i4i0000000000000000000000000000000000000000000000
χ788-88-80000-40−8i8i000-4440000000000004i−4i0000000000000000000000000000000000000000000000

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