Finite Group Databasebeta

← Group #10773247

Character table — Group #10773247

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222244444444448888888812121212121212121616161616161616161616161616161624242424242424244848
order122234444446662444121212121212244461212128888888824666881212121212242424242244444488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ311111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1-1-111111111-1-1
χ5111111111111111111111111-1-1-1-111111111111111-111-1-1-1-1-111-1-1-1-111-1-111-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-11111-1-111-1-111-1-1
χ7111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1-1-111-1-11111
χ8111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1-111-1-111
χ9111111-1-1111111-1-1-11111-1-111-1-11-11-1-11111-1-1-1-11-11111-1-1-11-1-111-1-1111-1-1-11-11-1
χ10111111-1-1111111-1-1-11111-1-111-1-11-11-1-11111-1-1-1-1-111-1-1-11-1-1111-1-111-1-1-1111-111-1
χ11111111-1-1111111-1-1-11111-1-111-1-11-11-1-1-1-1-1-111111-11111-1-1-11-1-111-1-1-1-1-1111-11-11
χ12111111-1-1111111-1-1-11111-1-111-1-11-11-1-1-1-1-1-11111-111-1-1-11-1-1111-1-111111-1-1-11-1-11
χ13111111-1-1111111-1-1-11111-1-11-111-1-11-1-11111-1-1-1-11-1-111-1111-1-1-1-1-11111-11-1-1-11-11
χ14111111-1-1111111-1-1-11111-1-11-111-1-11-1-11111-1-1-1-1-11-1-1-11-111-11111-1-1-1-11-1111-1-11
χ15111111-1-1111111-1-1-11111-1-11-111-1-11-1-1-1-1-1-111111-1-111-1111-1-1-1-1-111-1-11-1111-11-1
χ16111111-1-1111111-1-1-11111-1-11-111-1-11-1-1-1-1-1-11111-11-1-1-11-111-11111-1-111-11-1-1-111-1
χ17222222222-2-2222-2-22-22-2-222222-2-2-2-22-20000000000200002-2-20000000000000000
χ18222222222-2-2222-2-22-22-2-2222-2-222-2-22-20000000000-20000-2220000000000000000
χ19222222-2-22-2-222222-2-22-2-2-2-222-22-22-2-22000000000020000-22-20000000000000000
χ20222222-2-22-2-222222-2-22-2-2-2-22-22-222-2-220000000000-200002-220000000000000000
χ2122222-222-2222222-2-2-2-22222-200002-2-2-2000000000000000000000000002-200-2200
χ2222222-222-2222222-2-2-2-22222-200002-2-2-200000000000000000000000000-22002-200
χ2322222-222-2-2-2222-22-22-2-2-222-20000-22-220000000000000000000000002-2002-20000
χ2422222-222-2-2-2222-22-22-2-2-222-20000-22-22000000000000000000000000-2200-220000
χ2522222-2-2-2-222222-222-2-222-2-2-20000-2-222000000000000000000000000002200-2-200
χ2622222-2-2-2-222222-222-2-222-2-2-20000-2-22200000000000000000000000000-2-2002200
χ2722222-2-2-2-2-2-22222-222-2-2-2-2-2-20000222-20000000000000000000000002-200-220000
χ2822222-2-2-2-2-2-22222-222-2-2-2-2-2-20000222-2000000000000000000000000-22002-20000
χ292222-1222222-1-1-12222-1-1-1-1-1-12222-1-1-1-10000000022-1-1-122-1-1-1-1-1-1-1-1-10000000000
χ302222-1222222-1-1-12222-1-1-1-1-1-12222-1-1-1-100000000-2-2-111-2-2-1-1-11111110000000000
χ312222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000221-1-1-2-2111-1-111110000000000
χ322222-1222222-1-1-12222-1-1-1-1-1-1-2-2-2-2-1-1-1-100000000-2-21112211111-1-1-1-10000000000
χ332222-12222-2-2-1-1-1-2-22-2-111-1-1-122-2-211-110000000000-1−i3i300-111−i3i3−i3i3−i3i30000000000
χ342222-12222-2-2-1-1-1-2-22-2-111-1-1-122-2-211-110000000000-1i3−i300-111i3−i3i3−i3i3−i30000000000
χ352222-12222-2-2-1-1-1-2-22-2-111-1-1-1-2-22211-1100000000001−i3i3001-1-1−i3i3i3−i3i3−i30000000000
χ362222-12222-2-2-1-1-1-2-22-2-111-1-1-1-2-22211-1100000000001i3−i3001-1-1i3−i3−i3i3−i3i30000000000
χ372222-12-2-2222-1-1-1-2-2-22-1-1-111-12-2-221-111000000002-2-1-1-12-211-111-1-1110000000000
χ382222-12-2-2222-1-1-1-2-2-22-1-1-111-12-2-221-11100000000-22-111-2211-1-1-111-1-10000000000
χ392222-12-2-2222-1-1-1-2-2-22-1-1-111-1-222-21-111000000002-21-1-1-22-1-111111-1-10000000000
χ402222-12-2-2222-1-1-1-2-2-22-1-1-111-1-222-21-11100000000-221112-2-1-11-1-1-1-1110000000000
χ412222-12-2-22-2-2-1-1-122-2-2-11111-12-22-2-111-10000000000-1−i3i3001-11i3−i3−i3i3i3−i30000000000
χ422222-12-2-22-2-2-1-1-122-2-2-11111-12-22-2-111-10000000000-1i3−i3001-11−i3i3i3−i3−i3i30000000000
χ432222-12-2-22-2-2-1-1-122-2-2-11111-1-22-22-111-100000000001−i3i300-11-1i3−i3i3−i3−i3i30000000000
χ442222-12-2-22-2-2-1-1-122-2-2-11111-1-22-22-111-100000000001i3−i300-11-1−i3i3−i3i3i3−i30000000000
χ454444-2-444-444-2-2-24-4-4-42-2-2-2-220000-22220000000000000000000000000000000000
χ464444-2-444-4-4-4-2-2-2-44-44222-2-2200002-22-20000000000000000000000000000000000
χ474444-2-4-4-4-444-2-2-2-444-42-2-2222000022-2-20000000000000000000000000000000000
χ484444-2-4-4-4-4-4-4-2-2-24-4442222220000-2-2-220000000000000000000000000000000000
χ4944-4-44400-4004-4-4000040000-4000000002222−22−22000000000000000000000000000000
χ5044-4-44400-4004-4-4000040000-400000000−22−222222000000000000000000000000000000
χ5144-4-44-4004004-4-40000-400004000000000000−2i2−2i22i22i200000000000000000000000000
χ5244-4-44-4004004-4-40000-4000040000000000002i22i2−2i2−2i200000000000000000000000000
χ534-44-4404i−4i000-44-400000004i−4i0000000002-22-22i−2i2i−2i00000000000000000000000000
χ544-44-4404i−4i000-44-400000004i−4i000000000-22-22−2i2i−2i2i00000000000000000000000000
χ554-44-440−4i4i000-44-40000000−4i4i0000000002-22-2−2i2i−2i2i00000000000000000000000000
χ564-44-440−4i4i000-44-40000000−4i4i000000000-22-222i−2i2i−2i00000000000000000000000000
χ574-4-44400004-4-4-44000004-400000000000000022−22−222200000000000000000000000000
χ584-4-44400004-4-4-44000004-4000000000000000−222222−2200000000000000000000000000
χ594-4-4440000-44-4-4400000-440000000000022−22−2222000000000000000000000000000000
χ604-4-4440000-44-4-4400000-4400000000000−222222−22000000000000000000000000000000
χ6188-8-8-4800-800-4440000-400004000000000000000000000000000000000000000000
χ6288-8-8-4-800800-444000040000-4000000000000000000000000000000000000000000
χ638-88-8-408i−8i0004-440000000−4i4i0000000000000000000000000000000000000000000
χ648-88-8-40−8i8i0004-4400000004i−4i0000000000000000000000000000000000000000000
χ658-8-88-400008-844-400000-44000000000000000000000000000000000000000000000
χ668-8-88-40000-8844-4000004-4000000000000000000000000000000000000000000000

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