Finite Group Databasebeta

← Group #72338731

Character table — Group #72338731

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11222444444888888888888161616161616161616161616161632323232323232323232323232323232323232323264646464646464646464646464646464
order12222222222222222444444224444444444442224444444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-111-1-11111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111-1-11111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111
χ71111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111
χ81111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111111111111111111-1-111-1-1111111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1
χ1011111111111111111111111-1-111-1-11111-1-1-1-11-111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ1111111111111111111111111-1-111-1-1-1-1-1-111111-111-1-111-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111
χ1211111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ1311111111111111111111111-1-1-1-11111111111-11-1-1-1-1-1-111-1-1-111111111-1-1-1-1-1-111-1-111-1-111
χ1411111111111111111111111-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ1511111111111111111111111-1-1-1-111-1-1-1-11111-1111-1-1-1-111-111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1
χ1611111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ172222222222222-2-2-2-222-2-2-2-2220000000000000022-2-200002-2-2000022-2-20000000000000000
χ182222222222222-2-2-2-222-2-2-2-22200000000000000-2-2-2-200002220000-2-2220000000000000000
χ192222222222222-2-2-2-222-2-2-2-2-2-20000000000000022220000-2-2-20000-2-2220000000000000000
χ202222222222222-2-2-2-222-2-2-2-2-2-200000000000000-2-2220000-222000022-2-20000000000000000
χ2122222222222-2-222-2-2-2-222-2-22200000000222200002-20000-20000-2-20000002-2000000000000
χ2222222222222-2-222-2-2-2-222-2-22200000000-2-2-2-200002-20000-2000022000000-22000000000000
χ2322222222222-2-222-2-2-2-222-2-2-2-20000000022220000-22000020000-2-2000000-22000000000000
χ2422222222222-2-222-2-2-2-222-2-2-2-200000000-2-2-2-20000-22000020000220000002-2000000000000
χ2522222222222-2-2-2-222-2-2-2-222220000222200000000-220000-200-2-20000002-200000000000000
χ2622222222222-2-2-2-222-2-2-2-222220000-2-2-2-200000000-220000-20022000000-2200000000000000
χ2722222222222-2-2-2-222-2-2-2-222-2-200002222000000002-20000200-2-2000000-2200000000000000
χ2822222222222-2-2-2-222-2-2-2-222-2-20000-2-2-2-2000000002-20000200220000002-200000000000000
χ29222222-22-2-2-22-22-2-2-22-22-2220000222i2i−2i−2i00000-20000002-20002i−2i0000000000002i−2i00000000
χ30222222-22-2-2-22-22-2-2-22-22-222000022−2i−2i2i2i00000-20000002-2000−2i2i000000000000−2i2i00000000
χ31222222-22-2-2-22-22-2-2-22-22-2220000-2-22i2i−2i−2i000002000000-220002i−2i000000000000−2i2i00000000
χ32222222-22-2-2-22-22-2-2-22-22-2220000-2-2−2i−2i2i2i000002000000-22000−2i2i0000000000002i−2i00000000
χ33222222-22-2-2-2-22-22-2-2-22-22220022002i2i−2i−2i0000-2000002-200000−2i2i00000000002i−2i0000000000
χ34222222-22-2-2-2-22-22-2-2-22-2222002200−2i−2i2i2i0000-2000002-2000002i−2i0000000000−2i2i0000000000
χ35222222-22-2-2-2-22-22-2-2-22-222200-2-2002i2i−2i−2i0000200000-2200000−2i2i0000000000−2i2i0000000000
χ36222222-22-2-2-2-22-22-2-2-22-222200-2-200−2i−2i2i2i0000200000-22000002i−2i00000000002i−2i0000000000
χ3722222-22-22-2-22-2-2-22-2-22222-200002200002i2i−2i−2i0-2000000-22000002i−2i000000000000002i−2i0000
χ3822222-22-22-2-22-2-2-22-2-22222-20000220000−2i−2i2i2i0-2000000-2200000−2i2i00000000000000−2i2i0000
χ3922222-22-22-2-22-2-2-22-2-22222-20000-2-200002i2i−2i−2i020000002-2000002i−2i00000000000000−2i2i0000
χ4022222-22-22-2-22-2-2-22-2-22222-20000-2-20000−2i−2i2i2i020000002-200000−2i2i000000000000002i−2i0000
χ4122222-22-22-2-2-22-2-2-222-222-2200220000002i2i−2i−2i-200000-220000000−2i2i0000000000002i−2i000000
χ4222222-22-22-2-2-22-2-2-222-222-220022000000−2i−2i2i2i-200000-2200000002i−2i000000000000−2i2i000000
χ4322222-22-22-2-2-22-2-2-222-222-2200-2-20000002i2i−2i−2i2000002-20000000−2i2i000000000000−2i2i000000
χ4422222-22-22-2-2-22-2-2-222-222-2200-2-2000000−2i−2i2i2i2000002-200000002i−2i0000000000002i−2i000000
χ4522222-2-2-2-222222-22-2-2-2-22-2200220000000000200000-2-20000000002-22-20000000000002-200
χ4622222-2-2-2-222222-22-2-2-2-22-2200220000000000200000-2-2000000000-22-22000000000000-2200
χ4722222-2-2-2-222222-22-2-2-2-22-2200-2-20000000000-200000220000000002-22-2000000000000-2200
χ4822222-2-2-2-222222-22-2-2-2-22-2200-2-20000000000-20000022000000000-22-220000000000002-200
χ4922222-2-2-2-22222-22-22-2-22-22-20000220000000002000000-2-200000002-2-22000000000000002-2
χ5022222-2-2-2-22222-22-22-2-22-22-20000220000000002000000-2-20000000-222-200000000000000-22
χ5122222-2-2-2-22222-22-22-2-22-22-20000-2-2000000000-20000002200000002-2-2200000000000000-22
χ5222222-2-2-2-22222-22-22-2-22-22-20000-2-2000000000-2000000220000000-222-2000000000000002-2
χ53444444-44-4-4-44-4-44444-4-44-4-4000000000000000000000000000000000000000000000000000
χ54444444-44-4-4-4-444-444-444-4-4-4000000000000000000000000000000000000000000000000000
χ5544444-44-44-4-44-444-44-44-4-4-44000000000000000000000000000000000000000000000000000
χ5644444-44-44-4-4-44444-44-4-4-44-4000000000000000000000000000000000000000000000000000
χ5744444-4-4-4-444-4-44-4-4444-444-4000000000000000000000000000000000000000000000000000
χ5844444-4-4-4-444-4-4-444-4444-4-44000000000000000000000000000000000000000000000000000
χ59888-8-8080-8000000000000000000004i−4i4i−4i00000000000000000000000000000000000000000
χ60888-8-8080-800000000000000000000−4i4i−4i4i00000000000000000000000000000000000000000
χ61888-8-80-808000000000000000000004-4-4400000000000000000000000000000000000000000
χ62888-8-80-80800000000000000000000-444-400000000000000000000000000000000000000000
χ6388-88-880-800000000000000000000000004i−4i4i−4i0000000000000000000000000000000000000
χ6488-88-880-80000000000000000000000000−4i4i−4i4i0000000000000000000000000000000000000
χ6588-88-8-80800000000000000000000000004-4-440000000000000000000000000000000000000
χ6688-88-8-8080000000000000000000000000-444-40000000000000000000000000000000000000
χ6788-8-8800008-800000000000000000000000000000000000004-4000000000000000000000000
χ6888-8-8800008-80000000000000000000000000000000000000-44000000000000000000000000
χ6988-8-880000-8800000000000000000000000000004-4000000000000000000000000000000000
χ7088-8-880000-880000000000000000000000000000-44000000000000000000000000000000000
χ7116-160000000000000000000004-44-44-4000000000000000000000000000000000000000000000
χ7216-160000000000000000000004-4-44-44000000000000000000000000000000000000000000000
χ7316-16000000000000000000000-444-4-44000000000000000000000000000000000000000000000
χ7416-16000000000000000000000-44-444-4000000000000000000000000000000000000000000000

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