Finite Group Databasebeta

← Group #10770207

Character table — Group #10770207

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222222244444444488888888888888888888161616161616161616162424242424242424242424244848
order122222223666666624444666622444444121212121212121212121212446612121212121224444444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-111
χ61111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111111-1-11-1-11111-1-1
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-111-1-1-1-111
χ911111-1-1111111111-1-1-111-1-1-1-11-11-111-1-11111-1-1-1-111-1-11-11-11-111-1-111-11-1-11-111-1-11-1
χ1011111-1-1111111111-1-1-111-1-1-1-11-11-111-1-11111-1-1-1-111-1-11-11-11-111-1-1-1-11-111-11-1-111-11
χ1111111-1-1111111111-1-1-111-1-1-1-11-11-1-1-111-1-1-1-1111111-1-1-111-11-1-1-11111-11-1-11-1-1-111-11
χ1211111-1-1111111111-1-1-111-1-1-1-11-11-1-1-111-1-1-1-1111111-1-1-111-11-1-1-111-1-11-111-1111-1-11-1
χ1311111-1-1111111111-1-1-111-1-1-1-1-11-1111-1-11111-1-1-1-111-1-1-11-11-11-1-11111-1-11-1-11-1-1111-1
χ1411111-1-1111111111-1-1-111-1-1-1-1-11-1111-1-11111-1-1-1-111-1-1-11-11-11-1-111-1-111-111-111-1-1-11
χ1511111-1-1111111111-1-1-111-1-1-1-1-11-11-1-111-1-1-1-1111111-1-11-1-11-1111-1-111-1-11-1-1111-1-1-11
χ1611111-1-1111111111-1-1-111-1-1-1-1-11-11-1-111-1-1-1-1111111-1-11-1-11-1111-1-1-1-111-111-1-1-1111-1
χ1722222222222222222-2-2-2-222222-2-22000000000000-2-2-2-2002-2-22000000000000000000
χ1822222222222222222-2-2-2-22222-222-2000000000000-2-2-2-200-222-2000000000000000000
χ1922222222-1-1-1-1-1-1-1-122222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000000000
χ2022222222-1-1-1-1-1-1-1-122222-1-1-1-12222-2-2-2-211111111-1-1-1-1-2-2-1-1-1-1111100000000000000
χ2122222222-1-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-21111111100000000000000
χ2222222222-1-1-1-1-1-1-1-122222-1-1-1-1-2-2-2-2-2-2-2-211111111-1-1-1-1221111-1-1-1-100000000000000
χ2322222222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-12-2-220000−i3−i3i3i3−i3−i3i3i3111100-111-1−i3i3−i3i300000000000000
χ2422222222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-12-2-220000i3i3−i3−i3i3i3−i3−i3111100-111-1i3−i3i3−i300000000000000
χ2522222222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-222-20000−i3−i3i3i3−i3−i3i3i31111001-1-11i3−i3i3−i300000000000000
χ2622222222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-1-222-20000i3i3−i3−i3i3i3−i3−i31111001-1-11−i3i3−i3i300000000000000
χ2722222-2-2222222222-222-2-2-2-2-2-222-2-2000000000000-2-2220022-2-2000000000000000000
χ2822222-2-2222222222-222-2-2-2-2-2-2-2-222000000000000-2-22200-2-222000000000000000000
χ2922222-2-22-1-1-1-1-1-1-1-1-222-2-2111122-2-20000−i3−i3i3i3i3i3−i3−i311-1-100-1-111−i3i3i3−i300000000000000
χ3022222-2-22-1-1-1-1-1-1-1-1-222-2-2111122-2-20000i3i3−i3−i3−i3−i3i3i311-1-100-1-111i3−i3−i3i300000000000000
χ3122222-2-22-1-1-1-1-1-1-1-1-222-2-21111-2-2220000−i3−i3i3i3i3i3−i3−i311-1-10011-1-1i3−i3−i3i300000000000000
χ3222222-2-22-1-1-1-1-1-1-1-1-222-2-21111-2-2220000i3i3−i3−i3−i3−i3i3i311-1-10011-1-1−i3i3i3−i300000000000000
χ3322222-2-22-1-1-1-1-1-1-1-1-2-2-22211112-22-222-2-2-1-1-1-11111-1-1112-2-11-11-1-11100000000000000
χ3422222-2-22-1-1-1-1-1-1-1-1-2-2-22211112-22-2-2-2221111-1-1-1-1-1-111-22-11-1111-1-100000000000000
χ3522222-2-22-1-1-1-1-1-1-1-1-2-2-2221111-22-2222-2-2-1-1-1-11111-1-111-221-11-111-1-100000000000000
χ3622222-2-22-1-1-1-1-1-1-1-1-2-2-2221111-22-22-2-2221111-1-1-1-1-1-1112-21-11-1-1-11100000000000000
χ372222-222-22-2-222-2-22-22-22-222-2-200000000000000002-22-20000000000000220-2-2000000
χ382222-222-22-2-222-2-22-22-22-222-2-200000000000000002-22-20000000000000-2-2022000000
χ392222-222-22-2-222-2-22-2-22-2222-2-20000000000000000-22-2200000000002-2200-200000000
χ402222-222-22-2-222-2-22-2-22-2222-2-20000000000000000-22-220000000000-22-200200000000
χ412222-2-2-2-22-2-222-2-2222-2-22-2-2220000000000000000-222-200000000002-2-200200000000
χ422222-2-2-2-22-2-222-2-2222-2-22-2-2220000000000000000-222-20000000000-22200-200000000
χ432222-2-2-2-22-2-222-2-222-222-2-2-22200000000000000002-2-2200000000000002-20-22000000
χ442222-2-2-2-22-2-222-2-222-222-2-2-22200000000000000002-2-220000000000000-2202-2000000
χ454444-444-4-222-2-222-2-44-44-4-2-2220000000000000000-22-22000000000000000000000000
χ464444-444-4-222-2-222-2-4-44-44-2-22200000000000000002-22-2000000000000000000000000
χ474444-4-4-4-4-222-2-222-244-4-4422-2-200000000000000002-2-22000000000000000000000000
χ484444-4-4-4-4-222-2-222-24-444-422-2-20000000000000000-222-2000000000000000000000000
χ4944-4-4400-44444-4-4-4-40000000000000000000000000000000000000000000000022−220000
χ5044-4-4400-44444-4-4-4-400000000000000000000000000000000000000000000000−22220000
χ5144-4-4-40044-4-44-444-40000000000000000000000000000000000000000000000000−2i22i200
χ5244-4-4-40044-4-44-444-400000000000000000000000000000000000000000000000002i2−2i200
χ534-44-404-40400-4400-4000004-40000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ544-44-404-40400-4400-4000004-4000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ554-44-404-40-2−2i32i32-2−2i32i3200000-22−2i32i300002i−2i2i−2i2ζ14−2ζ142ζ22−2ζ222ζ14−2ζ142ζ22−2ζ220000000000000000000000000000
χ564-44-404-40-2−2i32i32-2−2i32i3200000-22−2i32i30000−2i2i−2i2i−2ζ142ζ14−2ζ222ζ22−2ζ142ζ14−2ζ222ζ220000000000000000000000000000
χ574-44-404-40-22i3−2i32-22i3−2i3200000-222i3−2i300002i−2i2i−2i2ζ22−2ζ222ζ14−2ζ142ζ22−2ζ222ζ14−2ζ140000000000000000000000000000
χ584-44-404-40-22i3−2i32-22i3−2i3200000-222i3−2i30000−2i2i−2i2i−2ζ222ζ22−2ζ142ζ14−2ζ222ζ22−2ζ142ζ140000000000000000000000000000
χ594-44-40-440400-4400-400000-440000002i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ604-44-40-440400-4400-400000-44000000−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ614-44-40-440-2−2i32i32-2−2i32i32000002-22i3−2i300002i−2i−2i2i2ζ14−2ζ142ζ22−2ζ22−2ζ142ζ14−2ζ222ζ220000000000000000000000000000
χ624-44-40-440-2−2i32i32-2−2i32i32000002-22i3−2i30000−2i2i2i−2i−2ζ142ζ14−2ζ222ζ222ζ14−2ζ142ζ22−2ζ220000000000000000000000000000
χ634-44-40-440-22i3−2i32-22i3−2i32000002-2−2i32i300002i−2i−2i2i2ζ22−2ζ222ζ14−2ζ14−2ζ222ζ22−2ζ142ζ140000000000000000000000000000
χ644-44-40-440-22i3−2i32-22i3−2i32000002-2−2i32i30000−2i2i2i−2i−2ζ222ζ22−2ζ142ζ142ζ22−2ζ222ζ14−2ζ140000000000000000000000000000
χ6588-8-8800-8-4-4-4-4444400000000000000000000000000000000000000000000000000000
χ6688-8-8-8008-444-44-4-4400000000000000000000000000000000000000000000000000000
χ678-8-880000800-8-800800000000000000000000000000000000000000000000000000000
χ688-8-880000-4−4i34i3444i3−4i3-400000000000000000000000000000000000000000000000000000
χ698-8-880000-44i3−4i344−4i34i3-400000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.