Finite Group Databasebeta

← Group #72338965

Character table — Group #72338965

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11222444444888888888888161616161616161616161616161632323232323232323232323232323232323232323264646464646464646464646464646464
order12222224444222222224444222222224444442444444444444888888884444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-11111-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111-1-11111-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111
χ6111111111111111111111111111-1-1111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ7111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ8111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ911111111111111111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ1011111111111111111111111-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111
χ1111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ1211111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1311111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-1111111111111-1-1-1-111-1-1-1-11111-1-1
χ1411111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ1511111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111
χ1611111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1
χ172222222222222-2-2-2-222-2-2-2-222-2-2000022-2-2222000000-2-222-2-2000000000000000000000000
χ182222222222222-2-2-2-222-2-2-2-222-2-2000022-2-2-2-2-200000022-2-222000000000000000000000000
χ192222222222222-2-2-2-222-2-2-2-2-2-2220000-2-222222000000-2-2-2-222000000000000000000000000
χ202222222222222-2-2-2-222-2-2-2-2-2-2220000-2-222-2-2-20000002222-2-2000000000000000000000000
χ2122222222222-2-222-2-2-2-222-2-200000000000022-20000002-20000000022-2-22-200000000000000
χ2222222222222-2-222-2-2-2-222-2-200000000000022-20000002-200000000-2-222-2200000000000000
χ2322222222222-2-222-2-2-2-222-2-2000000000000-2-22000000-220000000022-2-2-2200000000000000
χ2422222222222-2-222-2-2-2-222-2-2000000000000-2-22000000-2200000000-2-2222-200000000000000
χ2522222222222-2-2-2-222-2-2-2-22200000000000022-2000000-22000022-2-20000002-2000000000000
χ2622222222222-2-2-2-222-2-2-2-22200000000000022-2000000-220000-2-222000000-22000000000000
χ2722222222222-2-2-2-222-2-2-2-222000000000000-2-220000002-2000022-2-2000000-22000000000000
χ2822222222222-2-2-2-222-2-2-2-222000000000000-2-220000002-20000-2-2220000002-2000000000000
χ292222222-2-2-2-2-2-22-22-2222-22-20000002200000000002-2-2002-22-20000000000002-20000000000
χ302222222-2-2-2-2-2-22-22-2222-22-20000002200000000002-2-200-22-22000000000000-220000000000
χ312222222-2-2-2-2-2-22-22-2222-22-2000000-2-20000000000-222002-22-2000000000000-220000000000
χ322222222-2-2-2-2-2-22-22-2222-22-2000000-2-20000000000-22200-22-220000000000002-20000000000
χ332222222-2-2-2-2-2-2-22-2222-22-220000220000000002-2-2000002-2-22000000000000002-200000000
χ342222222-2-2-2-2-2-2-22-2222-22-220000220000000002-2-200000-222-200000000000000-2200000000
χ352222222-2-2-2-2-2-2-22-2222-22-220000-2-2000000000-222000002-2-2200000000000000-2200000000
χ362222222-2-2-2-2-2-2-22-2222-22-220000-2-2000000000-22200000-222-2000000000000002-200000000
χ3722222-2-222-2-22-2222-22-2-2-2-22000000220000000000-22-200000000002i−2i2i−2i00000000002i−2i0000
χ3822222-2-222-2-22-2222-22-2-2-2-22000000220000000000-22-20000000000−2i2i−2i2i0000000000−2i2i0000
χ3922222-2-222-2-22-2222-22-2-2-2-22000000-2-200000000002-2200000000002i−2i2i−2i0000000000−2i2i0000
χ4022222-2-222-2-22-2222-22-2-2-2-22000000-2-200000000002-220000000000−2i2i−2i2i00000000002i−2i0000
χ4122222-2-222-2-2-2222-22-22-2-22-2000022000000000-22-200000000000002i−2i−2i2i000000000000002i−2i
χ4222222-2-222-2-2-2222-22-22-2-22-2000022000000000-22-20000000000000−2i2i2i−2i00000000000000−2i2i
χ4322222-2-222-2-2-2222-22-22-2-22-20000-2-20000000002-2200000000000002i−2i−2i2i00000000000000−2i2i
χ4422222-2-222-2-2-2222-22-22-2-22-20000-2-20000000002-220000000000000−2i2i2i−2i000000000000002i−2i
χ4522222-2-2-2-2222-2-2222-222-2-2-2000022000000000-2-220000000002i−2i2i−2i0000000000002i−2i000000
χ4622222-2-2-2-2222-2-2222-222-2-2-2000022000000000-2-22000000000−2i2i−2i2i000000000000−2i2i000000
χ4722222-2-2-2-2222-2-2222-222-2-2-20000-2-200000000022-20000000002i−2i2i−2i000000000000−2i2i000000
χ4822222-2-2-2-2222-2-2222-222-2-2-20000-2-200000000022-2000000000−2i2i−2i2i0000000000002i−2i000000
χ4922222-2-2-2-222-222-2222-2-22-2-2000000220000000000-2-220000002i−2i−2i2i00000000000000002i−2i00
χ5022222-2-2-2-222-222-2222-2-22-2-2000000220000000000-2-22000000−2i2i2i−2i0000000000000000−2i2i00
χ5122222-2-2-2-222-222-2222-2-22-2-2000000-2-2000000000022-20000002i−2i−2i2i0000000000000000−2i2i00
χ5222222-2-2-2-222-222-2222-2-22-2-2000000-2-2000000000022-2000000−2i2i2i−2i00000000000000002i−2i00
χ534444444-4-4-4-4444-4-44-4-44-4-44000000000000000000000000000000000000000000000000000
χ544444444-4-4-4-444-444-4-4-4-444-4000000000000000000000000000000000000000000000000000
χ5544444-4-444-4-44-4-4-4-444-4444-4000000000000000000000000000000000000000000000000000
χ5644444-4-444-4-4-44-4-44-4-4444-44000000000000000000000000000000000000000000000000000
χ5744444-4-4-4-4444-44-4-4-4-44-4444000000000000000000000000000000000000000000000000000
χ5844444-4-4-4-444-44-44-4-44-44-444000000000000000000000000000000000000000000000000000
χ59888-8-800008-8000000000000004-40000004-4000000000000000000000000000000000000000
χ60888-8-800008-800000000000000-44000000-44000000000000000000000000000000000000000
χ61888-8-80000-880000000000004-40000004-400000000000000000000000000000000000000000
χ62888-8-80000-88000000000000-44000000-4400000000000000000000000000000000000000000
χ6388-88-8008-800000000000000004-4000000-44000000000000000000000000000000000000000
χ6488-88-8008-80000000000000000-440000004-4000000000000000000000000000000000000000
χ6588-88-800-88000000000000004-4000000-4400000000000000000000000000000000000000000
χ6688-88-800-8800000000000000-440000004-400000000000000000000000000000000000000000
χ6788-8-888-800000000000000000044000000-4-4000000000000000000000000000000000000000
χ6888-8-888-8000000000000000000-4-400000044000000000000000000000000000000000000000
χ6988-8-88-88000000000000000044000000-4-400000000000000000000000000000000000000000
χ7088-8-88-880000000000000000-4-40000004400000000000000000000000000000000000000000
χ7116-1600000000000000000000000004-44-400004-40000000000000000000000000000000000000
χ7216-1600000000000000000000000004-4-440000-440000000000000000000000000000000000000
χ7316-160000000000000000000000000-444-40000-440000000000000000000000000000000000000
χ7416-160000000000000000000000000-44-4400004-40000000000000000000000000000000000000

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