Finite Group Databasebeta

← Group #10786013

Character table — Group #10786013

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222224444444444488888888888888888812121212121216161616161616161616162424242424242424244848
order122234444666444448812121212224481212121212121212122424242444888824666681212242428888888844
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-1-1-111
χ41111111111111111111111111-1-111-1-11111-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ511111111111111-1-11-1-111111-111-111111-1-111-1-1-1-11111111-11-111-1-1-1-1-11-1-111-1-1-1-11-1
χ611111111111111-1-11-1-111111-111-111111-1-111-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-111-1-11111-11
χ711111111111111-1-11-1-111111-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1111111-1-1-1-111111-1
χ811111111111111-1-11-1-111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-111111-11111-1-1-1-1-11
χ9111111111111-1-1111-1-11111-1111-1111-1-11111-1-1-1-1111111-11-11-1-1-111-1-11-1-1-1-111-1-1-11
χ10111111111111-1-1111-1-11111-1111-1111-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-11111-1-1111-1
χ11111111111111-1-1111-1-11111-11-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-11111-1-1111-1-111-1-111-11
χ12111111111111-1-1111-1-11111-11-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-111-111-1-111-1-11-1
χ13111111111111-1-1-1-11111111-1-1111111-1-1-1-1111111111111-1-1-1-1-1-11-1-111111-1-1-1-111-1-1
χ14111111111111-1-1-1-11111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-111
χ15111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-111-1-11111111-1-1-1-1
χ16111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-111-111-1-1-1-1-1-1-1-1-11111
χ172222222-2-22222222-222-2-222-2-200-2-20022220022-2-200000000-2-2000000000000000000
χ182222222-2-222222-2-2-2-2-2-2-222-22002-20022-2-200-2-22200000000-22000000000000000000
χ192222222-2-2222-2-222-2-2-2-2-2222-2002-200-2-22200-2-222000000002-2000000000000000000
χ202222222-2-2222-2-2-2-2-222-2-2222200-2-200-2-2-2-20022-2-20000000022000000000000000000
χ2122222-2-2222220000-20022-2-2002-20-2-2-200002200002222-2-200000000000-20000000000
χ2222222-2-2222220000-20022-2-2002-20-2-2-20000220000-2-2-2-2220000000000020000000000
χ2322222-2-2222220000-20022-2-200-220-2220000-2-2000022-2-22200000000000-20000000000
χ2422222-2-2222220000-20022-2-200-220-2220000-2-20000-2-222-2-20000000000020000000000
χ252222-12222-1-1-12222222-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-100000022-1-1-1-12-1-1-1-100000000000
χ262222-12222-1-1-12222222-1-1-1-122-2-22-111-1-1-1-111-1-1-1-1000000-2-2-1-111-2111100000000000
χ272222-12222-1-1-122-2-22-2-2-1-1-1-12-222-2-1-1-1-1-111-1-111110000002-2-11-1-1-2111100000000000
χ282222-12222-1-1-122-2-22-2-2-1-1-1-12-2-2-2-2-111-1-111111111000000-22-11112-1-1-1-100000000000
χ292222-12222-1-1-1-2-2222-2-2-1-1-1-1-2222-2-1-1-111-1-1-1-11111000000-221-111-2-1-11100000000000
χ302222-12222-1-1-1-2-2222-2-2-1-1-1-1-22-2-2-2-11111-1-11111110000002-21-1-1-1211-1-100000000000
χ312222-12222-1-1-1-2-2-2-2222-1-1-1-1-2-2222-1-1-11111-1-1-1-1-1-1000000-2-21111211-1-100000000000
χ322222-12222-1-1-1-2-2-2-2222-1-1-1-1-2-2-2-22-111111111-1-1-1-10000002211-1-1-2-1-11100000000000
χ332222-122-2-2-1-1-12222-22211-1-1-2-200-21−i3i3-1-1-1-1−i3i3-1-1110000000011−i3i30−i3i3−i3i300000000000
χ342222-122-2-2-1-1-12222-22211-1-1-2-200-21i3−i3-1-1-1-1i3−i3-1-1110000000011i3−i30i3−i3i3−i300000000000
χ352222-122-2-2-1-1-122-2-2-2-2-211-1-1-220021−i3i3-1-111−i3i311-1-1000000001-1−i3i30i3−i3i3−i300000000000
χ362222-122-2-2-1-1-122-2-2-2-2-211-1-1-220021i3−i3-1-111i3−i311-1-1000000001-1i3−i30−i3i3−i3i300000000000
χ372222-122-2-2-1-1-1-2-222-2-2-211-1-12-20021−i3i311-1-1−i3i311-1-100000000-11i3−i30−i3i3i3−i300000000000
χ382222-122-2-2-1-1-1-2-222-2-2-211-1-12-20021i3−i311-1-1i3−i311-1-100000000-11−i3i30i3−i3−i3i300000000000
χ392222-122-2-2-1-1-1-2-2-2-2-22211-1-12200-21−i3i31111−i3i3-1-11100000000-1-1i3−i30i3−i3−i3i300000000000
χ402222-122-2-2-1-1-1-2-2-2-2-22211-1-12200-21i3−i31111i3−i3-1-11100000000-1-1−i3i30−i3i3i3−i300000000000
χ412-22-22-2200-22-22i−2i2i−2i02-2002-2000000002i−2i2i−2i002-20000−i2i2−i2i2000000000000002−22−2−i2i200
χ422-22-22-2200-22-22i−2i2i−2i02-2002-2000000002i−2i2i−2i002-20000i2−i2i2−i200000000000000−22−22i2−i200
χ432-22-22-2200-22-22i−2i−2i2i0-22002-2000000002i−2i−2i2i00-220000−i2i2−i2i2000000000000002−2−22i2−i200
χ442-22-22-2200-22-22i−2i−2i2i0-22002-2000000002i−2i−2i2i00-220000i2−i2i2−i200000000000000−222−2−i2i200
χ452-22-22-2200-22-2−2i2i2i−2i0-22002-200000000−2i2i2i−2i00-220000−i2i2−i2i200000000000000−222−2i2−i200
χ462-22-22-2200-22-2−2i2i2i−2i0-22002-200000000−2i2i2i−2i00-220000i2−i2i2−i2000000000000002−2−22−i2i200
χ472-22-22-2200-22-2−2i2i−2i2i02-2002-200000000−2i2i−2i2i002-20000−i2i2−i2i200000000000000−22−22−i2i200
χ482-22-22-2200-22-2−2i2i−2i2i02-2002-200000000−2i2i−2i2i002-20000i2−i2i2−i2000000000000002−22−2i2−i200
χ4944444-4-4-4-44440000400-4-4-4-40000040000000000000000000000000000000000000000
χ504444-2-4-444-2-2-20000-400-2-222004-402220000-2-200000000000000000000000000000000
χ514444-2-4-444-2-2-20000-400-2-22200-4402-2-200002200000000000000000000000000000000
χ524444-2-4-4-4-4-2-2-20000400222200000-2−2i32i300002i3−2i300000000000000000000000000000000
χ534444-2-4-4-4-4-2-2-20000400222200000-22i3−2i30000−2i32i300000000000000000000000000000000
χ5444-4-44004-4-4-4400000004-400000000000000000000000000000000000000−2i22i200000000
χ5544-4-44004-4-4-4400000004-4000000000000000000000000000000000000002i2−2i200000000
χ5644-4-4400-44-4-440000000-44000000000000000000004i−4i00000000000000000000000000
χ5744-4-4400-44-4-440000000-4400000000000000000000−4i4i00000000000000000000000000
χ584-44-444-400-44-4000000000-4400000000000000000000−2i22i22i2−2i20000000000000000000000
χ594-44-444-400-44-4000000000-44000000000000000000002i2−2i2−2i22i20000000000000000000000
χ604-44-4-2-44002-224i−4i4i−4i04-400-2200000000−2i2i−2i2i00-22000000000000000000000000000000
χ614-44-4-2-44002-224i−4i−4i4i0-4400-2200000000−2i2i2i−2i002-2000000000000000000000000000000
χ624-44-4-2-44002-22−4i4i4i−4i0-4400-22000000002i−2i−2i2i002-2000000000000000000000000000000
χ634-44-4-2-44002-22−4i4i−4i4i04-400-22000000002i−2i2i−2i00-22000000000000000000000000000000
χ6488-8-8-4008-844-40000000-44000000000000000000000000000000000000000000000000
χ6588-8-8-400-8844-400000004-4000000000000000000000000000000000000000000000000
χ668-88-8-48-8004-440000000004-40000000000000000000000000000000000000000000000
χ678-8-88800008-8-8000000000000000000000000000000000000000000000000000000000
χ688-8-88-40000-44400000000000000000000000000026−260000000000000000000000000000
χ698-8-88-40000-444000000000000000000000000000−26260000000000000000000000000000

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