Finite Group Databasebeta

← Group #72284293

Character table — Group #72284293

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size1122244444488161616161616161616161616161616161616161616161616161616323232323232323232323232323232646464646464646464128128128128
order12222224444222222222444444444444888888884444444444488884444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11-1-11111-1-1-1-1
χ3111111111111111111-1-11111-1-111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ51111111111111111-1-11111-1-1111111111111-1-1-1-11-1-1111111-1-111-1-11-1-11-1-1-1-1-111-1-1
χ61111111111111111-1-11111-1-111111111-1-1-1-111111-1-1111111-1-1-1-111-11-1-11-1-1-1-1-1-111
χ71111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-11-1-11-11111-1-111
χ81111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-11111111-1-1
χ911111111111111-1-11111-1-111-1-1-1-1111111111111-1-1-1111-1-1-1111111-1-1-1-1-111-1-11-11-1
χ1011111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-1-1-111-11111-1-1-11-11
χ1111111111111111-1-111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-111-11-11
χ1211111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111-1-1111-11-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-111-1-1-111-11-1-1111-1-11
χ1411111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111111-1-1-1-1-1-1-1111-111-1-1-111-111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-111-1-1-1111-1-111-1-1-111-1111-1-1-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-111-1-1-1111-1-1-1-1111-111-111-1-11-1-11
χ1722222222222222222200222200-2-2-2-2-2-200000000-222000000-2-2000000-20000000000
χ182222222222222222-2-20022-2-200-2-2-2-2-2-200000000-2-2-20000002200000020000000000
χ1922222222222222-2-22200-2-2220022-2-2-2-2000000002-2-2000000-2-200000020000000000
χ2022222222222222-2-2-2-200-2-2-2-20022-2-2-2-20000000022200000022000000-20000000000
χ2122222222222-2-2-22-200002-200002222-2-200002222-2000000000000-2-20-200200000000
χ2222222222222-2-2-22-200002-200002222-2-20000-2-2-2-2-2000000000000220200-200000000
χ2322222222222-2-2-22-200002-20000-2-2-2-2222222000020000000000-2-200200-2000000000
χ2422222222222-2-2-22-200002-20000-2-2-2-222-2-2-2-20000200000000002200-2002000000000
χ2522222222222-2-2-2-220000-22000022-2-22222220000-20000000000-2-200-2002000000000
χ2622222222222-2-2-2-220000-22000022-2-222-2-2-2-20000-200000000002200200-2000000000
χ2722222222222-2-2-2-220000-220000-2-222-2-2000022222000000000000-2-20200-200000000
χ2822222222222-2-2-2-220000-220000-2-222-2-20000-2-2-2-22000000000000220-200200000000
χ292222222-2-2-2-222-2002-200002-222002-22-2000000000000002-2-22-2000000000002-20000
χ302222222-2-2-2-222-2002-200002-2-2-2002-22-200000000000000-2222-200000000000-220000
χ312222222-2-2-2-222-2002-222002-20000-22-22000000000002-2-2000-220000000002-2000000
χ322222222-2-2-2-222-2002-2-2-2002-20000-22-2200000000000-222000-22000000000-22000000
χ332222222-2-2-2-222-200-220000-2222002-22-2000000000000002-2-2-2200000000000-220000
χ342222222-2-2-2-222-200-220000-22-2-2002-22-200000000000000-222-22000000000002-20000
χ352222222-2-2-2-222-200-222200-220000-22-22000000000002-2-20002-2000000000-22000000
χ362222222-2-2-2-222-200-22-2-200-220000-22-2200000000000-2220002-20000000002-2000000
χ374444444-4-4-4-4-4-44000000000000004-4-44000000000000000000000000000000000000
χ384444444-4-4-4-4-4-4400000000000000-444-4000000000000000000000000000000000000
χ3944444-4-44-44-40000400220-400-2-200000000000000000-22-222-20000000000000000000
χ4044444-4-44-44-40000400-2-20-40022000000000000000002-22-2-220000000000000000000
χ4144444-4-44-44-40000-4002204002200000000000000000-22-2-2-220000000000000000000
χ4244444-4-44-44-40000-400-2-20400-2-2000000000000000002-2222-20000000000000000000
χ4344444-4-4-44-44000400022-4000-2-200000000000000000-2-222-220000000000000000000
χ4444444-4-4-44-440004000-2-2-4000220000000000000000022-2-22-20000000000000000000
χ4544444-4-4-44-44000-40002240002200000000000000000-2-22-22-20000000000000000000
χ4644444-4-4-44-44000-4000-2-24000-2-20000000000000000022-22-220000000000000000000
χ47444-4-44-400004-40000400000-4000000002i2i−2i−2i2i2i−2i−2i000000000002i−2i2i−2i0000000000000
χ48444-4-44-400004-40000400000-400000000−2i−2i2i2i−2i−2i2i2i00000000000−2i2i−2i2i0000000000000
χ49444-4-44-400004-40000-4000004000000002i2i−2i−2i−2i−2i2i2i000000000002i−2i−2i2i0000000000000
χ50444-4-44-400004-40000-400000400000000−2i−2i2i2i2i2i−2i−2i00000000000−2i2i2i−2i0000000000000
χ51444-4-44-40000-44000400000-40000000002i2i−2i−2i−2i−2i2i2i00000000000−2i2i2i−2i0000000000000
χ52444-4-44-40000-44000400000-4000000000−2i−2i2i2i2i2i−2i−2i000000000002i−2i−2i2i0000000000000
χ53444-4-44-40000-44000-40000040000000002i2i−2i−2i2i2i−2i−2i00000000000−2i2i−2i2i0000000000000
χ54444-4-44-40000-44000-4000004000000000−2i−2i2i2i−2i−2i2i2i000000000002i−2i2i−2i0000000000000
χ55888-8-8-8800000000000000000000000000000000004-40000000000000000000000000
χ56888-8-8-880000000000000000000000000000000000-440000000000000000000000000
χ5788-88-800080-800000000000000000000000004i−4i4i−4i0000000000000000000000000000
χ5888-88-800080-80000000000000000000000000−4i4i−4i4i0000000000000000000000000000
χ5988-88-8000-8080000000000000000000004-44-400000000000000000000000000000000
χ6088-88-8000-808000000000000000000000-44-4400000000000000000000000000000000
χ6188-8-880080-800000000000000000000004i−4i−4i4i00000000000000000000000000000000
χ6288-8-880080-80000000000000000000000−4i4i4i−4i00000000000000000000000000000000
χ6388-8-8800-808000000000000000000000000004-4-440000000000000000000000000000
χ6488-8-8800-80800000000000000000000000000-444-40000000000000000000000000000
χ6516-1600000000000000004-400004i−4i4i−4i0000000000000000000000000000000000000000
χ6616-1600000000000000004-40000−4i4i−4i4i0000000000000000000000000000000000000000
χ6716-160000000000000000-4400004i−4i−4i4i0000000000000000000000000000000000000000
χ6816-160000000000000000-440000−4i4i4i−4i0000000000000000000000000000000000000000

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