Finite Group Databasebeta

← Group #10770766

Character table — Group #10770766

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57
size1111222222444488888888888812121212161616161616161616161616161616162424242424242424484848
order122222366644662444446688121244444481212121212121212122424242424444488448
χ1111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1111111-1-1-1-1-111111-1-1-1-1-1-1111111-1-1-1-1-1
χ41111111111111111111111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111-1-1-1-11111111111-1-11-1-11-1-1-1-1-1-11111-11-1-11-111-1-11
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-11-1-11-1-1-1-1-1-111111-111-11-1-111-1
χ71111111111111111-1-1-1-111-1-111111111-1111-1-1-1-111-1-1-1-1-11-1-11-1-1-111-1
χ81111111111111111-1-1-1-111-1-111-1-1-1-111-1111-1-1-1-111-1-1-1-11-111-1111-1-11
χ911111111111111-1-111-1-1-1-1111111111-1-111-111-1-1-1-111-1-1-1-111-1-1111-1-1
χ1011111111111111-1-111-1-1-1-11111-1-1-1-11-1-111-111-1-1-1-111-1-111-1-111-1-1-111
χ1111111111111111-1-111-1-1-1-1-1-1111111-111-1-1-111-1-111-1-111-1-111-1-1-1-1-111
χ1211111111111111-1-111-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-111-1-11111-1-111111-1-1
χ1311111111111111-1-1-1-111-1-111111111-11-1-1-1-1-1-1111111-1-11-1-1-1-1111-11-1
χ1411111111111111-1-1-1-111-1-11111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-11111-1-1-11-11
χ1511111111111111-1-1-1-111-1-1-1-11111111-1111-1-1-111-1-1-1-1111-1-1-1-11-1-11-11
χ1611111111111111-1-1-1-111-1-1-1-111-1-1-1-11-1111-1-1-111-1-1-1-111-11111-111-11-1
χ172222222222-2-2222-200002200-2-222-2-200000-200000000000-2002000000
χ182222222222-2-2222-200002200-2-2-2-22200000-200000000000200-2000000
χ192222222222-2-222-220000-2-200-2-222-2-200000200000000000200-2000000
χ202222222222-2-222-220000-2-200-2-2-2-22200000200000000000-2002000000
χ21222222-1-1-1-122-1-1222222-1-122-1-10000222-1-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ22222222-1-1-1-122-1-1222222-1-1-2-2-1-10000-2-2-211-1-1-1-1-111111100000000000
χ23222222-1-1-1-122-1-122-2-2-2-2-1-122-1-10000-2-2211-1111111-1-1-1-100000000000
χ24222222-1-1-1-122-1-122-2-2-2-2-1-1-2-2-1-1000022-2-1-1-11111-1-1111100000000000
χ25222222-1-1-1-122-1-1-2-222-2-21122-1-100002-2-2-1-11-1-11111-1-11100000000000
χ26222222-1-1-1-122-1-1-2-222-2-211-2-2-1-10000-222111-1-111-1-111-1-100000000000
χ27222222-1-1-1-122-1-1-2-2-2-2221122-1-10000-22-211111-1-1-1-1-1-11100000000000
χ28222222-1-1-1-122-1-1-2-2-2-22211-2-2-1-100002-22-1-1111-1-11111-1-100000000000
χ292222-2-222222-2-2-200002-200002-22-22-2000000002-200000020000-200000
χ302222-2-222222-2-2-200002-200002-2-22-22000000002-2000000-20000200000
χ312222-2-222222-2-2-20000-2200002-22-22-200000000-22000000-20000200000
χ322222-2-222222-2-2-20000-2200002-2-22-2200000000-2200000020000-200000
χ332222-2-22222-22-2-2002-2000000-222-2-220000002-200000000002-20000000
χ342222-2-22222-22-2-2002-2000000-22-222-20000002-20000000000-220000000
χ352222-2-22222-22-2-200-22000000-222-2-22000000-220000000000-220000000
χ362222-2-22222-22-2-200-22000000-22-222-2000000-2200000000002-20000000
χ37444444-2-2-2-2-4-4-2-24-40000-2-200220000000002000000000000000000000
χ38444444-2-2-2-2-4-4-2-2-440000220022000000000-2000000000000000000000
χ394444-4-4-2-2-2-24-42200004-40000-22000000000000-2200000000000000000
χ404444-4-4-2-2-2-24-4220000-440000-220000000000002-200000000000000000
χ414444-4-4-2-2-2-2-4422004-40000002-20000000000-220000000000000000000
χ424444-4-4-2-2-2-2-442200-440000002-200000000002-20000000000000000000
χ434-4-444-444-4-400-4400000000−2i22i2000000000000000000−2i22i20000000000000
χ444-4-444-444-4-400-44000000002i2−2i20000000000000000002i2−2i20000000000000
χ454-4-444-4-2-222002-2000000−2i32i3−2i22i2000000000000000000i2−i26−600000000000
χ464-4-444-4-2-222002-2000000−2i32i32i2−2i2000000000000000000−i2i2−6600000000000
χ474-4-444-4-2-222002-20000002i3−2i3−2i22i2000000000000000000i2−i2−6600000000000
χ484-4-444-4-2-222002-20000002i3−2i32i2−2i2000000000000000000−i2i26−600000000000
χ494-4-44-4444-4-4004-400000000000000000000000000000000000000−2i22i2000
χ504-4-44-4444-4-4004-4000000000000000000000000000000000000002i2−2i2000
χ5188-8-8008-88-800000000000000000000000000000000000000000000000
χ5288-8-800-44-440000000000000000000000023−230000000000000000000000
χ5388-8-800-44-4400000000000000000000000−23230000000000000000000000
χ548-88-8008-8-8800000000000000000000000000000000000000000000000
χ558-88-800-444-400000000000000000000000000000023−23000000000000000
χ568-88-800-444-4000000000000000000000000000000−2323000000000000000
χ578-8-88-88-4-44400-440000000000000000000000000000000000000000000

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