Finite Group Databasebeta

← Group #10847362

Character table — Group #10847362

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size1111222222222222444444444444488888888888888888812121212121212121616161616161616161624242424242424244848
order12222234444446664446612121212121212124444444412121212121212121212888888888812121212242424248888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111
χ811111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-111-1-1
χ91111111-1-11111111-1-1-111111-1-1-1-11111-1-1-11-11111-1-1-1-1-1-1111111-1-11-11-11-111-1-111-1-1-1-11-11-1
χ101111111-1-11111111-1-1-111111-1-1-1-11111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1111-11-11-111-1-1-1-11111-11-11
χ111111111-1-11111111-1-1-111111-1-1-1-1111-11-1-1-111111-1-1-1-1-1-11111-1-111-11-11-11-1-11111-1-1-1-1-11-11
χ121111111-1-11111111-1-1-111111-1-1-1-1111-11-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-11-11-11-1-111-1-111111-11-1
χ131111111-1-11111111-1-1-111111-1-1-1-11-1-11-1111-1-1-1-1-1-1-11111111111-1-1-111-11-1-1-111-1-111-1-11-1-11
χ141111111-1-11111111-1-1-111111-1-1-1-11-1-11-1111-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-11-1-1-11111-1-111-111-1
χ151111111-1-11111111-1-1-111111-1-1-1-11-1-1-1111-11-1-1-1-1-1-111111111-1-1111-1-11-1111-1-1-1-111-1-1-111-1
χ161111111-1-11111111-1-1-111111-1-1-1-11-1-1-1111-11-1-1-1-1-1-11111-1-1-1-111-1-11-1-11-1111-1-111-1-1111-1-11
χ17222222222-2-2-2-22222-2-222-2-2-22222-2000000000000-2-200002i2i−2i−2i0000000000000000002i−2i0000
χ18222222222-2-2-2-22222-2-222-2-2-22222-2000000000000-2-20000−2i−2i2i2i000000000000000000−2i2i0000
χ192222222-2-2-2-2-2-2222-22222-2-2-2-2-2-2-2-20000000000002200002i2i−2i−2i000000000000000000−2i2i0000
χ202222222-2-2-2-2-2-2222-22222-2-2-2-2-2-2-2-2000000000000220000−2i−2i2i2i0000000000000000002i−2i0000
χ21222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1-1-10000000000
χ22222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1-1-1-1-100000000-2-2111111110000000000
χ23222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-222-2-2221111-1-1111100000000-2-2-1-1-1-111110000000000
χ24222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1111100000000221111-1-1-1-10000000000
χ25222222-1-2-22222-1-1-1-2-2-2-1-1-1-1-11111-1222-2-2-22-2-1-1-1-1111111000000002-2-11-11-1-1110000000000
χ26222222-1-2-22222-1-1-1-2-2-2-1-1-1-1-11111-122-22-2-2-22-1-1-1-111111100000000-221-11-111-1-10000000000
χ27222222-1-2-22222-1-1-1-2-2-2-1-1-1-1-11111-1-2-22-2222-2111111-1-1-1-100000000-22-11-1111-1-10000000000
χ28222222-1-2-22222-1-1-1-2-2-2-1-1-1-1-11111-1-2-2-2222-22111111-1-1-1-1000000002-21-11-1-1-1110000000000
χ292222-2-22222-22-2222-22-2-2-22-2-222-2-22002-200-2200002-2000000000000002-2-2200000000000000
χ302222-2-22222-22-2222-22-2-2-22-2-222-2-2200-22002-200002-200000000000000-222-200000000000000
χ312222-2-2222-22-22222-2-22-2-2-22222-2-2-2000000000000-220000000022220000000000000000-2-200
χ322222-2-2222-22-22222-2-22-2-2-22222-2-2-2000000000000-2200000000-2-2-2-200000000000000002200
χ332222-2-22-2-22-22-22222-22-2-22-2-2-2-2222002200-2-20000-220000000000000022-2-200000000000000
χ342222-2-22-2-22-22-22222-22-2-22-2-2-2-222200-2-200220000-2200000000000000-2-22200000000000000
χ352222-2-22-2-2-22-2222222-2-2-2-222-2-222-20000000000002-20000000022-2-20000000000000000-2200
χ362222-2-22-2-2-22-2222222-2-2-2-222-2-222-20000000000002-200000000-2-22200000000000000002-200
χ372222-2-2-1222-22-2-1-1-1-22-211-111-1-111-1002-200-22−i3−i3i3i3-11−i3−i3i3i30000000000-111-1−i3i3−i3i30000000000
χ382222-2-2-1222-22-2-1-1-1-22-211-111-1-111-1002-200-22i3i3−i3−i3-11i3i3−i3−i30000000000-111-1i3−i3i3−i30000000000
χ392222-2-2-1222-22-2-1-1-1-22-211-111-1-111-100-22002-2−i3−i3i3i3-11−i3−i3i3i300000000001-1-11i3−i3i3−i30000000000
χ402222-2-2-1222-22-2-1-1-1-22-211-111-1-111-100-22002-2i3i3−i3−i3-11i3i3−i3−i300000000001-1-11−i3i3−i3i30000000000
χ412222-2-2-1-2-22-22-2-1-1-12-2211-11111-1-1-1002200-2-2−i3−i3i3i31-1i3i3−i3−i30000000000-1-111−i3i3i3−i30000000000
χ422222-2-2-1-2-22-22-2-1-1-12-2211-11111-1-1-1002200-2-2i3i3−i3−i31-1−i3−i3i3i30000000000-1-111i3−i3−i3i30000000000
χ432222-2-2-1-2-22-22-2-1-1-12-2211-11111-1-1-100-2-20022−i3−i3i3i31-1i3i3−i3−i3000000000011-1-1i3−i3−i3i30000000000
χ442222-2-2-1-2-22-22-2-1-1-12-2211-11111-1-1-100-2-20022i3i3−i3−i31-1−i3−i3i3i3000000000011-1-1−i3i3i3−i30000000000
χ4522-2-22-220022-2-22-2-20002-222-20000-22-20000002-22-20000002-22-2000000000000002-200000000
χ4622-2-22-220022-2-22-2-20002-222-20000-22-20000002-22-2000000-22-2200000000000000-2200000000
χ4722-2-22-220022-2-22-2-20002-222-20000-2-22000000-22-220000002-22-200000000000000-2200000000
χ4822-2-22-220022-2-22-2-20002-222-20000-2-22000000-22-22000000-22-22000000000000002-200000000
χ4922-2-22-2200-2-2222-2-20002-2-2-220000200002i−2i000000002i−2i2i−2i2i−2i−2i2i00000000000000002-2000000
χ5022-2-22-2200-2-2222-2-20002-2-2-220000200002i−2i000000002i−2i2i−2i−2i2i2i−2i0000000000000000-22000000
χ5122-2-22-2200-2-2222-2-20002-2-2-22000020000−2i2i00000000−2i2i−2i2i2i−2i−2i2i0000000000000000-22000000
χ5222-2-22-2200-2-2222-2-20002-2-2-22000020000−2i2i00000000−2i2i−2i2i−2i2i2i−2i00000000000000002-2000000
χ53444444-244-4-4-4-4-2-2-24-4-4-2-2222-2-2-2-220000000000002200000000000000000000000000000000
χ54444444-2-4-4-4-4-4-4-2-2-2-444-2-222222222000000000000-2-200000000000000000000000000000000
χ554444-4-4-244-44-44-2-2-2-4-44222-2-2-2-22220000000000002-200000000000000000000000000000000
χ564444-4-4-2-4-4-44-44-2-2-244-4222-2-222-2-22000000000000-2200000000000000000000000000000000
χ5744-4-44-4-20044-4-4-222000-22-2-22000024-4000000-22-220000000000000000000000000000000000
χ5844-4-44-4-20044-4-4-222000-22-2-2200002-440000002-22-20000000000000000000000000000000000
χ5944-4-44-4-200-4-444-222000-2222-20000-200004i−4i00000000−2i2i−2i2i0000000000000000000000000000
χ6044-4-44-4-200-4-444-222000-2222-20000-20000−4i4i000000002i−2i2i−2i0000000000000000000000000000
χ6144-4-4-444004-4-444-4-4000-444-440000-40000000000000000000000000000000000000000000000
χ6244-4-4-44400-444-44-4-4000-44-44-4000040000000000000000000000000000000000000000000000
χ6344-4-4-44-2004-4-44-2220002-2-22-20000200000000−2i32i32i3−2i30000000000000000000000000000000000
χ6444-4-4-44-2004-4-44-2220002-2-22-200002000000002i3−2i3−2i32i30000000000000000000000000000000000
χ6544-4-4-44-200-444-4-2220002-22-220000-20000000000000023−23−23230000000000000000000000000000
χ6644-4-4-44-200-444-4-2220002-22-220000-200000000000000−232323−230000000000000000000000000000
χ674-4-440044i−4i0000-4-44000000004i−4i000000000000000000000000022−22−2i22i200000000000000000000
χ684-4-440044i−4i0000-4-44000000004i−4i0000000000000000000000000−22222i2−2i200000000000000000000
χ694-4-44004−4i4i0000-4-4400000000−4i4i000000000000000000000000022−222i2−2i200000000000000000000
χ704-4-44004−4i4i0000-4-4400000000−4i4i0000000000000000000000000−2222−2i22i200000000000000000000
χ718-88-8008000000-88-800000000000000000000000000000000000000000000000000000000000
χ728-88-800-40000004-440000000000−4i34i300000000000000000000000000000000000000000000000
χ738-88-800-40000004-4400000000004i3−4i300000000000000000000000000000000000000000000000
χ748-8-8800-48i−8i000044-400000000−4i4i0000000000000000000000000000000000000000000000000
χ758-8-8800-4−8i8i000044-4000000004i−4i0000000000000000000000000000000000000000000000000

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