Finite Group Databasebeta

← Group #10828733

Character table — Group #10828733

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222222444444444444488888888888888888812121212161616161616161616162424242424242424242424242424
order12222234444446662246612121212121212122444444466121212121212121244446881212122424242444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111-1-1-111-11111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111
χ611111111111111111111111111111-1-1-111-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1
χ711111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-111111-1-11-1-11111-1-1-1-1
χ811111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-111-111-1-1-1-11111
χ911111111-1-1111111-1-1-11111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1111111-11-1-111-1-1-1-1-1-11111-1-111-1-1
χ1011111111-1-1111111-1-1-11111-1-1-1-11111-111-1-1-1-1-11111-1-1-1-1-1-1-1-111-11-1-111-1-11111-1-1-1-111-1-111
χ1111111111-1-1111111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-111-1-1-1-111-1-1-1-111-1-111-1-111
χ1211111111-1-1111111-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1111111-1-111-1-111-1-1
χ1311111111-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11-111-1-111-111-1-1-1-1-11111-1-1
χ1411111111-1-1111111-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-111-1-1111-1-111111-1-1-1-111
χ1511111111-1-1111111-1-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1-1-111111111-11-1-11111-1-1-111-1-1-111-1-1-1-111
χ1611111111-1-1111111-1-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-11-1-1111-1-11111-1-1
χ172222222-222-2-2-2222-2-2222-2-22222-2-200000000-2-2000000000000000000000002-202-200000000
χ182222222-222-2-2-2222-2-2222-2-22222-2-200000000-2-200000000000000000000000-220-2200000000
χ192222222-2-2-2-2-2-222222-222-2-2-2-2-2-2-2-20000000022000000000000000000000002-20-2200000000
χ202222222-2-2-2-2-2-222222-222-2-2-2-2-2-2-2-2000000002200000000000000000000000-2202-200000000
χ21222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000-122-1-1-1-1-1-1-100000000000000
χ22222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1222-2-22-2-2-1-1111111110000-1-2-2-1-1-1111100000000000000
χ23222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-222-222-1-1-1-1-1-1-1-1-1-100001-2-2111111100000000000000
χ24222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111111110000122111-1-1-1-100000000000000
χ25222222-12-2-2222-1-1-1-2-2-2-1-1-1-11111-1-122-222-2-2-211-1-1-1-111110000-12-2-111-1-11100000000000000
χ26222222-12-2-2222-1-1-1-2-2-2-1-1-1-11111-1-122-2-2-2-222111111-1-1-1-10000-1-22-11111-1-100000000000000
χ27222222-12-2-2222-1-1-1-2-2-2-1-1-1-11111-1-1-2-22222-2-211-1-1-1-1111100001-221-1-111-1-100000000000000
χ28222222-12-2-2222-1-1-1-2-2-2-1-1-1-11111-1-1-2-22-2-2222111111-1-1-1-1000012-21-1-1-1-11100000000000000
χ292222-2-22222-2-222222-2-2-2-22222-2-2-2-2000000002-20000000022-2-20000000000-20020000000000
χ302222-2-22222-2-222222-2-2-2-22222-2-2-2-2000000002-200000000-2-2220000000000200-20000000000
χ312222-2-222-2-2-2-22222-222-2-222-2-222-2-200000000-220000000022-2-20000000000200-20000000000
χ322222-2-222-2-2-2-22222-222-2-222-2-222-2-200000000-2200000000-2-2220000000000-20020000000000
χ332222-2-22-22222-2222-22-2-2-2-2-222-2-2222-2200-200-22000000000000200-22-2000000000000000000
χ342222-2-22-22222-2222-22-2-2-2-2-222-2-222-22-200200-22000000000000-2002-22000000000000000000
χ352222-2-22-2-2-222-22222-22-2-2-2-2-2-222222-2-2002002-2000000000000200-2-22000000000000000000
χ362222-2-22-2-2-222-22222-22-2-2-2-2-2-22222-22200-2002-2000000000000-20022-2000000000000000000
χ372222-2-2-1-22222-2-1-1-1-22-21111-1-111-1-12-2200-2001-1−i3−i3i3i3−i3−i3i3i30000-1001-11−i3i3−i3i300000000000000
χ382222-2-2-1-22222-2-1-1-1-22-21111-1-111-1-12-2200-2001-1i3i3−i3−i3i3i3−i3−i30000-1001-11i3−i3i3−i300000000000000
χ392222-2-2-1-22222-2-1-1-1-22-21111-1-111-1-1-22-2002001-1−i3−i3i3i3−i3−i3i3i30000100-11-1i3−i3i3−i300000000000000
χ402222-2-2-1-22222-2-1-1-1-22-21111-1-111-1-1-22-2002001-1i3i3−i3−i3i3i3−i3−i30000100-11-1−i3i3−i3i300000000000000
χ412222-2-2-1-2-2-222-2-1-1-12-22111111-1-1-1-12-2-200200-11−i3−i3i3i3i3i3−i3−i30000-10011-1−i3i3i3−i300000000000000
χ422222-2-2-1-2-2-222-2-1-1-12-22111111-1-1-1-12-2-200200-11i3i3−i3−i3−i3−i3i3i30000-10011-1i3−i3−i3i300000000000000
χ432222-2-2-1-2-2-222-2-1-1-12-22111111-1-1-1-1-22200-200-11−i3−i3i3i3i3i3−i3−i30000100-1-11i3−i3−i3i300000000000000
χ442222-2-2-1-2-2-222-2-1-1-12-22111111-1-1-1-1-22200-200-11i3i3−i3−i3−i3−i3i3i30000100-1-11−i3i3i3−i300000000000000
χ4522-2-22-22-2002-222-2-20002-22-200002-20000002i−2i0000002i−2i2i−2i2i−2i2i−2i00000000000000000000002-2
χ4622-2-22-22-2002-222-2-20002-22-200002-20000002i−2i0000002i−2i2i−2i−2i2i−2i2i0000000000000000000000-22
χ4722-2-22-22-2002-222-2-20002-22-200002-2000000−2i2i000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000-22
χ4822-2-22-22-2002-222-2-20002-22-200002-2000000−2i2i000000−2i2i−2i2i−2i2i−2i2i00000000000000000000002-2
χ4922-2-2-222-200-2222-2-2000-222-20000-220002i−2i000002i−2i2i−2i00002i−2i−2i2i000000000000000000002-200
χ5022-2-2-222-200-2222-2-2000-222-20000-220002i−2i000002i−2i2i−2i0000−2i2i2i−2i00000000000000000000-2200
χ5122-2-2-222-200-2222-2-2000-222-20000-22000−2i2i00000−2i2i−2i2i00002i−2i−2i2i00000000000000000000-2200
χ5222-2-2-222-200-2222-2-2000-222-20000-22000−2i2i00000−2i2i−2i2i0000−2i2i2i−2i000000000000000000002-200
χ53444444-2-444-4-4-4-2-2-2-4-44-2-222-2-2-2-2220000000022000000000000000000000000000000000000
χ54444444-2-4-4-4-4-4-4-2-2-244-4-2-22222222200000000-2-2000000000000000000000000000000000000
χ554444-4-4-2444-4-44-2-2-24-4-422-2-2-2-2222200000000-22000000000000000000000000000000000000
χ564444-4-4-24-4-4-4-44-2-2-2-44422-2-222-2-222000000002-2000000000000000000000000000000000000
χ5744-4-44-44400-44-44-4-40004-4-440000-440000000000000000000000000000000000000000000000
χ5844-4-44-4-2400-44-4-222000-222-200002-2000000000023−23−232300000000000000000000000000000000
χ5944-4-44-4-2400-44-4-222000-222-200002-20000000000−232323−2300000000000000000000000000000000
χ6044-4-44-4-2-4004-44-222000-22-220000-220000004i−4i000000−2i2i−2i2i0000000000000000000000000000
χ6144-4-44-4-2-4004-44-222000-22-220000-22000000−4i4i0000002i−2i2i−2i0000000000000000000000000000
χ6244-4-4-4444004-4-44-4-4000-44-4400004-40000000000000000000000000000000000000000000000
χ6344-4-4-44-24004-4-4-2220002-22-20000-220000000000000023−23−23230000000000000000000000000000
χ6444-4-4-44-24004-4-4-2220002-22-20000-2200000000000000−232323−230000000000000000000000000000
χ6544-4-4-44-2-400-444-2220002-2-2200002-20004i−4i00000−2i2i−2i2i00000000000000000000000000000000
χ6644-4-4-44-2-400-444-2220002-2-2200002-2000−4i4i000002i−2i2i−2i00000000000000000000000000000000
χ674-4-4400404i−4i000-44-400000004i−4i0000000000000000000000000000000000000000002i−2i2-20000
χ684-4-4400404i−4i000-44-400000004i−4i000000000000000000000000000000000000000000−2i2i-220000
χ694-4-440040−4i4i000-44-40000000−4i4i0000000000000000000000000000000000000000002i−2i-220000
χ704-4-440040−4i4i000-44-40000000−4i4i000000000000000000000000000000000000000000−2i2i2-20000
χ718-88-8008000000-8-8800000000000000000000000000000000000000000000000000000000000
χ728-88-800-400000044-400000000043−43000000000000000000000000000000000000000000000000
χ738-88-800-400000044-4000000000−4343000000000000000000000000000000000000000000000000
χ748-8-8800-408i−8i0004-440000000−4i4i00000000000000000000000000000000000000000000000000
χ758-8-8800-40−8i8i0004-4400000004i−4i00000000000000000000000000000000000000000000000000

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