Finite Group Databasebeta

← Group #10858716

Character table — Group #10858716

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size111122222222224444448888888888888888121212121212121212121212161616161616161616161616162424242424244848
order12222234444666661212121244444444888812121212224444448888412121212121212122424242422448888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111-11-1-1-111-1-1-1-1-1-11111111111-1-1-11-1111-1-1-111-1-111-1-11-1-1-1
χ411111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1111-1-1-111-1-1-1-111-1111
χ51111111111111111111111-11-11-1-1-1-111-1-1-1-111111111-1-111-1-1111-11-1-1-1-111-1-111-11-1-1
χ61111111111111111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-11111-1-11-111
χ71111111111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1111111-1-1
χ911111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111-1-11111-1-1-1-1-1-1111-11-1
χ1011111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-11111-1-1-1-111-1-1-11-11
χ1111111111111111111111-1-11-11-111-1-11111111111-1-1-1-11111-11-1-1-11-1-1-1-1-111-1-1-1-111-11
χ1211111111111111111111-1-11-11-111-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-11-1-1-1-1-1111111-1-11-1
χ1311111111111111111111-1-1-11-111111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-111-1-11111-1-1-11
χ1411111111111111111111-1-1-11-111111-1-11111-1-1-1-111111111-1-11-1-1-11-1-111-1-1-1-1-1-1111-1
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-111-1
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-1111111-1-1111-1-11
χ17222222-12222-1-1-1-1-1-1-1-1-1222222222222-1-1-1-10000000000002-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222222-12222-1-1-1-1-1-1-1-1-1222-22-2-2-222-2-21111000000000000-2-11-1-1-1111-1-11100000000
χ19222222-12222-1-1-1-1-1-1-1-1-122-22-22-2-2-2-2221111000000000000-21-1-1-11-11111-1-100000000
χ20222222-12222-1-1-1-1-1-1-1-1-122-2-2-2-222-2-2-2-2-1-1-1-1000000000000211-1-111-1-1111100000000
χ21222222-12222-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-2-2-211110000000000002-1-111-1-1-1-1111100000000
χ22222222-12222-1-1-1-1-1-1-1-1-1-2-22-22-222-2-222-1-1-1-1000000000000-2-1111-111111-1-100000000
χ23222222-12222-1-1-1-1-1-1-1-1-1-2-2-22-222222-2-2-1-1-1-1000000000000-21-1111-111-1-11100000000
χ24222222-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222211110000000000002111111-1-1-1-1-1-100000000
χ252222-2-222-2-22222-2-22-22-200020-20000000000000022-2-200-2-200-2000200000000000200
χ262222-2-222-2-22222-2-22-22-200020-200000000000000-2-222002200-2000200000000000-200
χ272222-2-222-2-22222-2-22-22-2000-2020000000000000022-2-20022002000-200000000000-200
χ282222-2-222-2-22222-2-22-22-2000-20200000000000000-2-22200-2-2002000-200000000000200
χ292222-2-22-222-2222-2-2-22-220020-20000000000022-2-2000022000-2000200000000000-2000
χ302222-2-22-222-2222-2-2-22-220020-200000000000-2-2220000-2-2000-20002000000000002000
χ312222-2-22-222-2222-2-2-22-2200-2020000000000022-2-20000-2-20002000-2000000000002000
χ322222-2-22-222-2222-2-2-22-2200-20200000000000-2-2220000220002000-200000000000-2000
χ3322-2-22-2222-2-22-2-22-22-2-22000000002-20000002-22-2000000000000000002-2002-2000000
χ3422-2-22-2222-2-22-2-22-22-2-22000000002-2000000-22-22000000000000000002-200-22000000
χ3522-2-22-2222-2-22-2-22-22-2-2200000000-220000002-22-200000000000000000-2200-22000000
χ3622-2-22-2222-2-22-2-22-22-2-2200000000-22000000-22-2200000000000000000-22002-2000000
χ3722-2-22-22-2-2222-2-22-2-222-200000000002-2000000002i−2i2i−2i0000000000000002-2002i−2i0000
χ3822-2-22-22-2-2222-2-22-2-222-200000000002-200000000−2i2i−2i2i0000000000000002-200−2i2i0000
χ3922-2-22-22-2-2222-2-22-2-222-20000000000-22000000002i−2i2i−2i000000000000000-2200−2i2i0000
χ4022-2-22-22-2-2222-2-22-2-222-20000000000-2200000000−2i2i−2i2i000000000000000-22002i−2i0000
χ4122-2-2-222-22-222-2-2-22-2-2222i−2i000000000000002-2-222i−2i−2i2i00000002i−2i0000000000000000
χ4222-2-2-222-22-222-2-2-22-2-2222i−2i00000000000000-222-2−2i2i2i−2i00000002i−2i0000000000000000
χ4322-2-2-222-22-222-2-2-22-2-222−2i2i000000000000002-2-22−2i2i2i−2i0000000−2i2i0000000000000000
χ4422-2-2-222-22-222-2-2-22-2-222−2i2i00000000000000-222-22i−2i−2i2i0000000−2i2i0000000000000000
χ454444444-4-4-4-444444-4-4-4-40000000000000000000000000000000000000000000000000
χ46444444-2-4-4-4-4-2-2-2-2-2222200000000000000000000000000000000000−2i32i3000000000000
χ47444444-2-4-4-4-4-2-2-2-2-22222000000000000000000000000000000000002i3−2i3000000000000
χ484444-4-4-24-4-44-2-2-222-22-2200040-40000000000000000000000002000-200000000000000
χ494444-4-4-24-4-44-2-2-222-22-22000-404000000000000000000000000-2000200000000000000
χ504444-4-4-2-444-4-2-2-2222-22-20040-40000000000000000000000002000-2000000000000000
χ514444-4-4-2-444-4-2-2-2222-22-200-404000000000000000000000000-20002000000000000000
χ5244-4-44-4-244-4-4-222-22-222-2000000004-4000000000000000000000000000-220000000000
χ5344-4-44-4-244-4-4-222-22-222-200000000-440000000000000000000000000002-20000000000
χ5444-4-44-4-2-4-444-222-222-2-2200000000004-4000000000000000000000000000-2200000000
χ5544-4-44-4-2-4-444-222-222-2-220000000000-440000000000000000000000000002-200000000
χ5644-4-4-4444-44-44-4-4-4444-4-40000000000000000000000000000000000000000000000000
χ5744-4-4-44-24-44-4-2222-2-2-222000000000000−2i3−2i32i32i3000000000000000000000000000000000
χ5844-4-4-44-24-44-4-2222-2-2-2220000000000002i32i3−2i3−2i3000000000000000000000000000000000
χ5944-4-4-44-2-44-44-2222-222-2-24i−4i00000000000000000000000000000−2i2i0000000000000000
χ6044-4-4-44-2-44-44-2222-222-2-2−4i4i000000000000000000000000000002i−2i0000000000000000
χ614-4-440040000-44-40000000000002-200002-22-200000000−2i22i2−2i22i2000000000000000000000
χ624-4-440040000-44-40000000000002-200002-22-2000000002i2−2i22i2−2i2000000000000000000000
χ634-4-440040000-44-4000000000000-220000-22-2200000000−2i22i22i2−2i2000000000000000000000
χ644-4-440040000-44-4000000000000-220000-22-22000000002i2−2i2−2i22i2000000000000000000000
χ658-88-80080000-8-880000000000000000000000000000000000000000000000000000000
χ668-88-800-4000044-4000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ678-88-800-4000044-40000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ688-8-8800-400004-440000000000004-40000-22-22000000000000000000000000000000000
χ698-8-8800-400004-44000000000000-4400002-22-2000000000000000000000000000000000

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