Finite Group Databasebeta

← Group #11713279

Character table — Group #11713279

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222223346666688888812161616161616242424242424242424243232323248484848
order122448822824488234666812122424242422444488886612128888
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111-11-11111111111-11-11111111-1-1-1-1-1-1-1-1
χ4111111111111111-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111-1111-1-111-1111-111-1-1-1-111-1111-1-1-1-111-1-11-11-1
χ611111-1-111-1111-1-111-1111-111-1-1-1-11-1-1-1-1-1111111-1-1-11-11
χ711111-1-111-1111-1-1-111111-111-1-1-1-1-111111-1-1-1-1-1-111-11-11
χ811111-1-111-1111-1-1-111111-111-1-1-1-1-1-11-1-1-11111-1-1111-11-1
χ92222222222222222-12-1-1-12-1-1-1-1-1-12020000000-1-1-1-10000
χ10222222222222222-2-1-2-1-1-12-1-1-1-1-1-1-20-2000000011110000
χ1122222-2-222-2222-2-22-1-2-1-1-1-2-1-1111120-20000000-1-1110000
χ1222222-2-222-2222-2-2-2-12-1-1-1-2-1-11111-202000000011-1-10000
χ13222-2-2002202-2-2000202220-2-200000000002i−2i2i−2i00000000
χ14222-2-2002202-2-2000202220-2-20000000000−2i2i−2i2i00000000
χ1522-22-22222-2-22-222020-2-22-2-2222-2-2000000000000000000
χ1622-22-22222-2-22-2220-1011-1-21-1-1-1110000000000−i3i3−i3i30000
χ1722-22-22222-2-22-2220-1011-1-21-1-1-1110000000000i3−i3i3−i30000
χ1822-22-2-2-2222-22-2-2-2020-2-222-22-2-222000000000000000000
χ1922-22-2-2-2222-22-2-2-20-1011-121-111-1-10000000000−i3i3i3−i30000
χ2022-22-2-2-2222-22-2-2-20-1011-121-111-1-10000000000i3−i3−i3i30000
χ2122-2-2200220-2-2200020-2-2202-20000020-22-2000000000000
χ2222-2-2200220-2-2200020-2-2202-200000-202-22000000000000
χ233333333-1-13-1-1-1-1-1303000-1000000-11-11-1-111-1-1000011-1-1
χ243333333-1-13-1-1-1-1-1303000-1000000-1-1-1-111-1-1110000-1-111
χ253333333-1-13-1-1-1-1-1-30-3000-10000001111-1-111-1-10000-1-111
χ263333333-1-13-1-1-1-1-1-30-3000-10000001-11-111-1-111000011-1-1
χ2733333-3-3-1-1-3-1-1-11130-30001000000-1111-1-1-1-11100001-1-11
χ2833333-3-3-1-1-3-1-1-11130-30001000000-1-11-11111-1-10000-111-1
χ2933333-3-3-1-1-3-1-1-111-303000100000011-11-1-1-1-1110000-111-1
χ3033333-3-3-1-1-3-1-1-111-30300010000001-1-1-11111-1-100001-1-11
χ31444-4-4004404-4-4000-20-2-2-20220000000000000000000000
χ3244-4-4400440-4-44000-2022-20-220000000000000000000000
χ334-4000−2i22i24-40000−2i22i204000-4000−2i22i200000000000000000000
χ344-4000−2i22i24-40000−2i22i20-20−2i32i32000i2−i26−6000000000000000000
χ354-4000−2i22i24-40000−2i22i20-202i3−2i32000i2−i2−66000000000000000000
χ364-40002i2−2i24-400002i2−2i204000-40002i2−2i200000000000000000000
χ374-40002i2−2i24-400002i2−2i20-20−2i32i32000−i2i2−66000000000000000000
χ384-40002i2−2i24-400002i2−2i20-202i3−2i32000−i2i26−6000000000000000000
χ39666-6-600-2-20-2220000000000000000000002i−2i−2i2i00000000
χ40666-6-600-2-20-222000000000000000000000−2i2i2i−2i00000000
χ4166-66-666-2-2-62-22-2-20000002000000000000000000000000
χ4266-66-6-6-6-2-262-2222000000-2000000000000000000000000
χ4366-6-6600-2-2022-2000000000000000020-2-22000000000000
χ4466-6-6600-2-2022-20000000000000000-2022-2000000000000
χ4512-12000−6i26i2-4400002i2−2i20000000000000000000000000000000
χ4612-120006i2−6i2-440000−2i22i20000000000000000000000000000000

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