Finite Group Databasebeta

← Group #10697299

Character table — Group #10697299

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11112222222222224444444444444888888888888881616161616161616161616162424242424242424242424244848
order122222344444466644466121212121212121288881212242424242424242424446612121212121244448888888844
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
χ511111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1
χ811111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ9222222222-2-222222-2-2-2222222-2-2-2-20000-2-200000000000000000000000022-2-2000000
χ10222222222-2-222222-2-2-2222222-2-2-2-20000-2-2000000000000000000000000-2-222000000
χ112222222-2-222-2-22222-2-222-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000
χ122222222-2-222-2-22222-2-222-2-2-2-22222-2-222-2-2-2-2-2-2222200000000000000000000000000
χ132222222-2-2-2-2-2-2222-22222-2-2-2-2-2-2-2-2000022000000000000000000000000000022-2-200
χ142222222-2-2-2-2-2-2222-22222-2-2-2-2-2-2-2-20000220000000000000000000000000000-2-22200
χ15222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000
χ16222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000000000
χ17222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-11111111122-2-2-1-1-1-1111100000000000000
χ18222222-1222222-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-111111111-2-2221111-1-1-1-100000000000000
χ19222222-1-2-222-2-2-1-1-12-2-2-1-11111-1-1-1-122-2-211-1-1-1-111110000−i3i3−i3i3−i3−i3i3i300000000000000
χ20222222-1-2-222-2-2-1-1-12-2-2-1-11111-1-1-1-122-2-211-1-1-1-111110000i3−i3i3−i3i3i3−i3−i300000000000000
χ21222222-1-2-222-2-2-1-1-12-2-2-1-11111-1-1-1-1-2-222111111-1-1-1-10000−i3i3−i3i3i3i3−i3−i300000000000000
χ22222222-1-2-222-2-2-1-1-12-2-2-1-11111-1-1-1-1-2-222111111-1-1-1-10000i3−i3i3−i3−i3−i3i3i300000000000000
χ232222-2-222222-2-2222-2-22-2-222-2-22-2-2200002-200000000002-200002-22-200000000000000
χ242222-2-222222-2-2222-2-22-2-222-2-22-2-2200002-20000000000-220000-22-2200000000000000
χ252222-2-2222-2-2-2-222222-2-2-222-2-2-222-20000-22000000000000000000002i2i−2i−2i0000000000
χ262222-2-2222-2-2-2-222222-2-2-222-2-2-222-20000-2200000000000000000000−2i−2i2i2i0000000000
χ272222-2-22-2-22222222-22-2-2-2-2-2222-2-220000-22000000002-20022-2-2000000000000000000
χ282222-2-22-2-22222222-22-2-2-2-2-2222-2-220000-2200000000-2200-2-222000000000000000000
χ292222-2-22-2-2-2-2222222-22-2-2-2-222-222-200002-2000000000000000000000000000000002-2
χ302222-2-22-2-2-2-2222222-22-2-2-2-222-222-200002-200000000000000000000000000000000-22
χ312222-2-2-12222-2-2-1-1-1-2-2211-1-111-111-10000-11−i3−i3i3i3−i3−i3i3i3002-2−i3i3i3−i3-11-1100000000000000
χ322222-2-2-12222-2-2-1-1-1-2-2211-1-111-111-10000-11−i3−i3i3i3−i3−i3i3i300-22i3−i3−i3i31-11-100000000000000
χ332222-2-2-12222-2-2-1-1-1-2-2211-1-111-111-10000-11i3i3−i3−i3i3i3−i3−i3002-2i3−i3−i3i3-11-1100000000000000
χ342222-2-2-12222-2-2-1-1-1-2-2211-1-111-111-10000-11i3i3−i3−i3i3i3−i3−i300-22−i3i3i3−i31-11-100000000000000
χ352222-2-2-1-2-22222-1-1-1-22-21111-1-1-111-100001-1−i3−i3i3i3i3i3−i3−i32-200-1-111−i3i3i3−i300000000000000
χ362222-2-2-1-2-22222-1-1-1-22-21111-1-1-111-100001-1−i3−i3i3i3i3i3−i3−i3-220011-1-1i3−i3−i3i300000000000000
χ372222-2-2-1-2-22222-1-1-1-22-21111-1-1-111-100001-1i3i3−i3−i3−i3−i3i3i32-200-1-111i3−i3−i3i300000000000000
χ382222-2-2-1-2-22222-1-1-1-22-21111-1-1-111-100001-1i3i3−i3−i3−i3−i3i3i3-220011-1-1−i3i3i3−i300000000000000
χ3922-2-2-2222-2002-22-2-20002-22-22-20000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i20000000000000000002i−2i2−22−200
χ4022-2-2-2222-2002-22-2-20002-22-22-20000−i2i2−i2i200−i2i2−i2i2−i2i2−i2i2000000000000000000−2i2i−22−2200
χ4122-2-2-2222-2002-22-2-20002-22-22-20000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i20000000000000000002i−2i−22−2200
χ4222-2-2-2222-2002-22-2-20002-22-22-20000i2−i2i2−i200i2−i2i2−i2i2−i2i2−i2000000000000000000−2i2i2−22−200
χ4322-2-2-222-2200-222-2-20002-2-22-220000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i200000000000000002i−2i002−2−2200
χ4422-2-2-222-2200-222-2-20002-2-22-220000−i2i2i2−i200−i2i2−i2i2i2−i2i2−i20000000000000000−2i2i00−222−200
χ4522-2-2-222-2200-222-2-20002-2-22-220000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i200000000000000002i−2i00−222−200
χ4622-2-2-222-2200-222-2-20002-2-22-220000i2−i2−i2i200i2−i2i2−i2−i2i2−i2i20000000000000000−2i2i002−2−2200
χ47444444-244-4-444-2-2-2-4-4-4-2-2-2-2-2-222220000220000000000000000000000000000000000
χ48444444-2-4-4-4-4-4-4-2-2-2-444-2-2222222220000-2-20000000000000000000000000000000000
χ494444-4-4-244-4-4-4-4-2-2-244-422-2-2222-2-2200002-20000000000000000000000000000000000
χ504444-4-4-2-4-4-4-444-2-2-24-442222-2-22-2-220000-220000000000000000000000000000000000
χ5144-4-44-444-400-444-4-4000-444-4-4400000000000000000000000000000000000000000000
χ5244-4-44-44-44004-44-4-4000-44-444-400000000000000000000000000000000000000000000
χ5344-4-44-4-24-400-44-2220002-2-222-200000000006−6−666−6−6600000000000000000000000000
χ5444-4-44-4-24-400-44-2220002-2-222-20000000000−666−6−666−600000000000000000000000000
χ5544-4-44-4-2-44004-4-2220002-22-2-2200000000006−6−66−666−600000000000000000000000000
χ5644-4-44-4-2-44004-4-2220002-22-2-220000000000−666−66−6−6600000000000000000000000000
χ5744-4-4-44-24-4004-4-222000-22-22-220000−2i22i2−2i22i200i2−i2i2−i2i2−i2i2−i200000000000000000000000000
χ5844-4-4-44-24-4004-4-222000-22-22-2200002i2−2i22i2−2i200−i2i2−i2i2−i2i2−i2i200000000000000000000000000
χ5944-4-4-44-2-4400-44-222000-222-22-20000−2i22i22i2−2i200i2−i2i2−i2−i2i2−i2i200000000000000000000000000
χ6044-4-4-44-2-4400-44-222000-222-22-200002i2−2i2−2i22i200−i2i2−i2i2i2−i2i2−i200000000000000000000000000
χ614-44-4004004-400-44-4000000000400-4000000000000000000000000002-22-20000000000
χ624-44-4004004-400-44-4000000000400-400000000000000000000000000-22-220000000000
χ634-44-400400-4400-44-4000000000-4004000000000000000000000000002i−2i−2i2i0000000000
χ644-44-400400-4400-44-4000000000-400400000000000000000000000000−2i2i2i−2i0000000000
χ658-88-800-4008-8004-44000000000-40040000000000000000000000000000000000000000
χ668-88-800-400-88004-44000000000400-40000000000000000000000000000000000000000
χ678-8-88008000000-8-8800000000000000000000000000000000000000000000000000000
χ688-8-8800-400000044-4000000000043−4300000000000000000000000000000000000000000
χ698-8-8800-400000044-40000000000−434300000000000000000000000000000000000000000

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