Finite Group Databasebeta

← Group #10828703

Character table — Group #10828703

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size1111222222222244444466888888888888888812121212121212161616161616161616161616162424242424242424242448
order12222234444666661212121244444444444488121212122244444812121212121212122424242422244444888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-111-1-11111111-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-11-1-111-1-1-1-1111111-1-1-1-1-1-1111
χ51111111111111111111111-1-11-1111-1-1-111-1-1-1-11111111-11-1-1-11-11111-1-1-1-1-1-111-1-111-1
χ61111111111111111111111-1-11-1-1-11-111-1-11111111111111-1-1-11-1-1-1-1-111-1-1-1-1-1-111-1-11
χ71111111111111111111111-1-1-1111-11-1-1-1-1-1-1-1-1111-1-1-1-11-11-1-1-1111-1-111-1-11111-1-1-1-11
χ81111111111111111111111-1-1-11-1-1-1111111111111-1-1-1-1-1-11-1-1-11-1-111-1-1-1-111-1-11111-1
χ911111111111111111111-1-11111111111111111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111
χ1111111111111111111111-1-111-1-111-1-111-1-11111-1-1-11111-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1111
χ1211111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-111-1-1-1-11111-1-1111111-1-1-1
χ1311111111111111111111-1-1-1-11-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-11111-1-11111-1-111-1-11
χ1411111111111111111111-1-1-1-11-1-1-11-111-1-11111-1-1-1-1-1-1-111-1-1-11-1-1-1-1-111111111-1-111-1
χ1511111111111111111111-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-1111-1-11111-1-1-1-11111-1
χ1611111111111111111111-1-1-1-1-11-1-1-1111111111-1-1-11111-1-11-1-1-11-1-111-1-111-1-111-1-1-1-11
χ172222222-2-2-2-222222-2-2-2-2222-200000000000000-2-2200000002-2000000002-2000000000
χ182222222-2-2-2-222222-2-2-2-222-2200000000000000-2-220000000-2200000000-22000000000
χ192222222-2-2-2-222222-2-2-2-2-2-22-20000000000000022-200000002-200000000-22000000000
χ202222222-2-2-2-222222-2-2-2-2-2-2-220000000000000022-20000000-22000000002-2000000000
χ21222222-12222-1-1-1-1-1-1-1-1-100222222222222-1-1-1-100000002-1-1-1-1-1-1-1-1-1-1-1-100000000000
χ22222222-12222-1-1-1-1-1-1-1-1-1002222-2-222-2-2-2-211110000000-2-1-1-1-1-1-111111100000000000
χ23222222-12222-1-1-1-1-1-1-1-1-10022-2-222-2-222-2-2-1-1-1-10000000-211-1-111-1-1111100000000000
χ24222222-12222-1-1-1-1-1-1-1-1-10022-2-2-2-2-2-2-2-22211110000000211-1-11111-1-1-1-100000000000
χ25222222-12222-1-1-1-1-1-1-1-1-100-2-22-2222-2-2-22211110000000-2-1111-11-1-1-1-11100000000000
χ26222222-12222-1-1-1-1-1-1-1-1-100-2-22-2-2-22-222-2-2-1-1-1-100000002-1111-111111-1-100000000000
χ27222222-12222-1-1-1-1-1-1-1-1-100-2-2-2222-22-2-2-2-21111000000021-1111-1-1-111-1-100000000000
χ28222222-12222-1-1-1-1-1-1-1-1-100-2-2-22-2-2-222222-1-1-1-10000000-21-1111-111-1-11100000000000
χ292222-2-222-2-22222-2-22-22-222002000-20000000002-2-2-2-2220-20002000000000000000000
χ302222-2-222-2-22222-2-22-22-22200-200020000000002-2-222-2-202000-2000000000000000000
χ312222-2-222-2-22222-2-22-22-2-2-2002000-2000000000-22222-2-20-20002000000000000000000
χ322222-2-222-2-22222-2-22-22-2-2-200-20002000000000-222-2-22202000-2000000000000000000
χ332222-2-22-222-2222-2-2-22-22220002000-200000000-22-2000000-20002000000002-20000000
χ342222-2-22-222-2222-2-2-22-2222000-2000200000000-22-20000002000-200000000-220000000
χ352222-2-22-222-2222-2-2-22-22-2-20002000-2000000002-22000000-2000200000000-220000000
χ362222-2-22-222-2222-2-2-22-22-2-2000-20002000000002-220000002000-2000000002-20000000
χ3722-2-22-22-22-222-2-2-22-2-2220000002i−2i00000000000002i−2i2i−2i00000002i−2i0000000000002-20
χ3822-2-22-22-22-222-2-2-22-2-2220000002i−2i0000000000000−2i2i−2i2i00000002i−2i000000000000-220
χ3922-2-22-22-22-222-2-2-22-2-222000000−2i2i00000000000002i−2i2i−2i0000000−2i2i000000000000-220
χ4022-2-22-22-22-222-2-2-22-2-222000000−2i2i0000000000000−2i2i−2i2i0000000−2i2i0000000000002-20
χ4122-2-2-222-2-2222-2-22-2-222-20000000000002-200000002i−2i−2i2i0000000002-20000002i−2i00000
χ4222-2-2-222-2-2222-2-22-2-222-20000000000002-20000000−2i2i2i−2i0000000002-2000000−2i2i00000
χ4322-2-2-222-2-2222-2-22-2-222-2000000000000-2200000002i−2i−2i2i000000000-22000000−2i2i00000
χ4422-2-2-222-2-2222-2-22-2-222-2000000000000-220000000−2i2i2i−2i000000000-220000002i−2i00000
χ45444444-2-4-4-4-4-2-2-2-2-22222004-4000000000000000000000000-220000000000000000000
χ46444444-2-4-4-4-4-2-2-2-2-2222200-440000000000000000000000002-20000000000000000000
χ474444-4-4-24-4-44-2-2-222-22-2200004000-4000000000000000002000-2000000000000000000
χ484444-4-4-24-4-44-2-2-222-22-220000-4000400000000000000000-20002000000000000000000
χ494444-4-4-2-444-4-2-2-2222-22-2000004000-4000000000000000002000-200000000000000000
χ504444-4-4-2-444-4-2-2-2222-22-200000-4000400000000000000000-2000200000000000000000
χ5144-4-44-444-44-44-4-4-4444-4-40000000000000000000000000000000000000000000000000
χ5244-4-44-4-24-44-4-2222-2-2-22200000000000000−2i3−2i32i32i30000000000000000000000000000000
χ5344-4-44-4-24-44-4-2222-2-2-222000000000000002i32i3−2i3−2i30000000000000000000000000000000
χ5444-4-44-4-2-44-44-2222-222-2-20000004i−4i000000000000000000000000−2i2i000000000000000
χ5544-4-44-4-2-44-44-2222-222-2-2000000−4i4i0000000000000000000000002i−2i000000000000000
χ5644-4-4-44444-4-44-4-44-44-4-440000000000000000000000000000000000000000000000000
χ5744-4-4-44-244-4-4-222-22-222-2000000000000000000000000000000000000−2i32i300000000000
χ5844-4-4-44-244-4-4-222-22-222-20000000000000000000000000000000000002i3−2i300000000000
χ5944-4-4-44-2-4-444-222-222-2-220000000000004-400000000000000000000-220000000000000
χ6044-4-4-44-2-4-444-222-222-2-22000000000000-44000000000000000000002-20000000000000
χ614-4-440040000-44-40000004i−4i000000002-2002-22-2000000000000000000000000002i−2i000
χ624-4-440040000-44-40000004i−4i00000000-2200-22-2200000000000000000000000000−2i2i000
χ634-4-440040000-44-4000000−4i4i000000002-2002-22-200000000000000000000000000−2i2i000
χ644-4-440040000-44-4000000−4i4i00000000-2200-22-22000000000000000000000000002i−2i000
χ658-88-80080000-8-880000000000000000000000000000000000000000000000000000000
χ668-88-800-4000044-400000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ678-88-800-4000044-4000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ688-8-8800-400004-4400000000000000004-400-22-220000000000000000000000000000000
χ698-8-8800-400004-440000000000000000-44002-22-20000000000000000000000000000000

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