Finite Group Databasebeta

← Group #10695936

Character table — Group #10695936

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order122222344444466644466121212121212121244441212121212121212121224668812122424242444448888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ811111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111
χ922222222222-2-2222-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000
χ1022222222222-2-2222-2-2-222-2-2-2-22222-2-222-2-22222-2-2-2-200000000000000000000000000
χ112222222-2-2-2-2222222-2-2222222-2-2-2-20000-2-2000000000000000000000000000000002-2
χ122222222-2-2-2-2222222-2-2222222-2-2-2-20000-2-200000000000000000000000000000000-22
χ132222222-2-2-2-2-2-2222-22222-2-2-2-2-2-2-2-20000220000000000000000000022-2-20000000000
χ142222222-2-2-2-2-2-2222-22222-2-2-2-2-2-2-2-200002200000000000000000000-2-2220000000000
χ15222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-100000000000000
χ16222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-211-2-211111100000000000000
χ17222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-1-1-2-2-1-1111100000000000000
χ18222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-2112211-1-1-1-100000000000000
χ19222222-12222-2-2-1-1-1-2-2-2-1-11111-1-1-1-122-2-2111111-1-1-1-100−i3i300−i3i3−i3−i3i3i300000000000000
χ20222222-12222-2-2-1-1-1-2-2-2-1-11111-1-1-1-122-2-2111111-1-1-1-100i3−i300i3−i3i3i3−i3−i300000000000000
χ21222222-12222-2-2-1-1-1-2-2-2-1-11111-1-1-1-1-2-22211-1-1-1-1111100−i3i300−i3i3i3i3−i3−i300000000000000
χ22222222-12222-2-2-1-1-1-2-2-2-1-11111-1-1-1-1-2-22211-1-1-1-1111100i3−i300i3−i3−i3−i3i3i300000000000000
χ232222-2-2222-2-222222-2-22-2-222-2-222-2-200002-2000000000000000000000000000022-2-200
χ242222-2-2222-2-222222-2-22-2-222-2-222-2-200002-20000000000000000000000000000-2-22200
χ252222-2-2222-2-2-2-222222-2-2-2-2-22222-2-20000-220000000000000000000000002i2i−2i−2i000000
χ262222-2-2222-2-2-2-222222-2-2-2-2-22222-2-20000-22000000000000000000000000−2i−2i2i2i000000
χ272222-2-22-2-22222222-22-2-2-222-2-2-2-2220000-220000000000002-2002-22-200000000000000
χ282222-2-22-2-22222222-22-2-2-222-2-2-2-2220000-22000000000000-2200-22-2200000000000000
χ292222-2-22-2-222-2-22222-22-2-2-2-222-2-22200002-2000000002-22200-2-2000000000000000000
χ302222-2-22-2-222-2-22222-22-2-2-2-222-2-22200002-200000000-22-2-20022000000000000000000
χ312222-2-2-1-2-22222-1-1-1-22-211-1-11111-1-100001-1−i3−i3i3i3−i3−i3i3i300−i3i32-2i3−i3-11-1100000000000000
χ322222-2-2-1-2-22222-1-1-1-22-211-1-11111-1-100001-1−i3−i3i3i3−i3−i3i3i300i3−i3-22−i3i31-11-100000000000000
χ332222-2-2-1-2-22222-1-1-1-22-211-1-11111-1-100001-1i3i3−i3−i3i3i3−i3−i300−i3i3-22i3−i31-11-100000000000000
χ342222-2-2-1-2-22222-1-1-1-22-211-1-11111-1-100001-1i3i3−i3−i3i3i3−i3−i300i3−i32-2−i3i3-11-1100000000000000
χ352222-2-2-1-2-222-2-2-1-1-12-221111-1-111-1-10000-11−i3−i3i3i3i3i3−i3−i32-2-1-10011i3−i3−i3i300000000000000
χ362222-2-2-1-2-222-2-2-1-1-12-221111-1-111-1-10000-11−i3−i3i3i3i3i3−i3−i3-221100-1-1−i3i3i3−i300000000000000
χ372222-2-2-1-2-222-2-2-1-1-12-221111-1-111-1-10000-11i3i3−i3−i3−i3−i3i3i32-2-1-10011−i3i3i3−i300000000000000
χ382222-2-2-1-2-222-2-2-1-1-12-221111-1-111-1-10000-11i3i3−i3−i3−i3−i3i3i3-221100-1-1i3−i3−i3i300000000000000
χ3922-2-22-222-2-2200-2-220002-200002-2-222-2000000002-22-20000000000000000−i2i2−i2i2−i2i2−i2i200
χ4022-2-22-222-2-2200-2-220002-200002-2-222-2000000002-22-20000000000000000i2−i2i2−i2i2−i2i2−i200
χ4122-2-22-222-2-2200-2-220002-200002-2-22-2200000000-22-220000000000000000−i2i2−i2i2i2−i2i2−i200
χ4222-2-22-222-2-2200-2-220002-200002-2-22-2200000000-22-220000000000000000i2−i2i2−i2−i2i2−i2i200
χ4322-2-2-2222-22-200-2-22000-2200002-22-2002i−2i002i−2i2i−2i000000000000000000002−2−22−i2i2i2−i200
χ4422-2-2-2222-22-200-2-22000-2200002-22-2002i−2i002i−2i2i−2i00000000000000000000−222−2i2−i2−i2i200
χ4522-2-2-2222-22-200-2-22000-2200002-22-200−2i2i00−2i2i−2i2i000000000000000000002−2−22i2−i2−i2i200
χ4622-2-2-2222-22-200-2-22000-2200002-22-200−2i2i00−2i2i−2i2i00000000000000000000−222−2−i2i2i2−i200
χ47444444-2-4-4-4-444-2-2-24-4-4-2-2-2-2-2-222220000220000000000000000000000000000000000
χ48444444-2-4-4-4-4-4-4-2-2-2-444-2-2222222220000-2-20000000000000000000000000000000000
χ494444-4-4-244-4-444-2-2-2-4-4422-2-222-2-2220000-220000000000000000000000000000000000
χ504444-4-4-244-4-4-4-4-2-2-244-42222-2-2-2-22200002-20000000000000000000000000000000000
χ5144-4-44-44-444-400-4-440004-40000-444-40000000000000000000000000000000000000000
χ5244-4-44-4-24-4-440022-2000-220000-222-24-400000000-22-2200000000000000000000000000
χ5344-4-44-4-24-4-440022-2000-220000-222-2-44000000002-22-200000000000000000000000000
χ5444-4-44-4-2-444-40022-2000-2200002-2-2200000023−23−2323000000000000000000000000000000
χ5544-4-44-4-2-444-40022-2000-2200002-2-22000000−232323−23000000000000000000000000000000
χ5644-4-4-444-44-4400-4-44000-440000-44-440000000000000000000000000000000000000000
χ5744-4-4-44-24-44-40022-20002-20000-22-22004i−4i00−2i2i−2i2i000000000000000000000000000000
χ5844-4-4-44-24-44-40022-20002-20000-22-2200−4i4i002i−2i2i−2i000000000000000000000000000000
χ5944-4-4-44-2-44-440022-20002-200002-22-20000000000−2i32i32i3−2i300000000000000000000000000
χ6044-4-4-44-2-44-440022-20002-200002-22-200000000002i3−2i3−2i32i300000000000000000000000000
χ614-4-4400400004i−4i-44-4000004i−4i000000000000000000000000000000002i−2i2-20000000000
χ624-4-4400400004i−4i-44-4000004i−4i00000000000000000000000000000000−2i2i-220000000000
χ634-4-440040000−4i4i-44-400000−4i4i000000000000000000000000000000002i−2i-220000000000
χ644-4-440040000−4i4i-44-400000−4i4i00000000000000000000000000000000−2i2i2-20000000000
χ658-88-80080000008-8-800000000000000000000000000000000000000000000000000000
χ668-88-800-4000000-4440000000−4i34i300000000000000000000000000000000000000000000
χ678-88-800-4000000-44400000004i3−4i300000000000000000000000000000000000000000000
χ688-8-8800-400008i−8i4-4400000−4i4i0000000000000000000000000000000000000000000000
χ698-8-8800-40000−8i8i4-44000004i−4i0000000000000000000000000000000000000000000000

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