Finite Group Databasebeta

← Group #72235361

Character table — Group #72235361

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11222888888888888888161616161616323232323232323232323232323232323232323232646464646464646464646464646464646464
order12222222222222444444444444222444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-1-1-11-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ71111111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1
χ911111111111111111111-1-111-1-1-11-1-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-111
χ1011111111111111111111-1-111-1-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1
χ1111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1
χ1211111111111111111111-1-111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111
χ1311111111111111111111-1-1-1-111-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ1411111111111111111111-1-1-1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111
χ1511111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111
χ1611111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ172222222-2222-2-2-22-22-2-2-200220002000-2-200000000002i2i−2i−2i00000000000000002i−2i
χ182222222-2222-2-2-22-22-2-2-200220002000-2-20000000000−2i−2i2i2i0000000000000000−2i2i
χ192222222-2222-2-2-22-22-2-2-200-2-2000-20002200000000002i2i−2i−2i0000000000000000−2i2i
χ202222222-2222-2-2-22-22-2-2-200-2-2000-2000220000000000−2i−2i2i2i00000000000000002i−2i
χ212222222-2-2-2-22-2-2-22222-200002200-200002-200002i2i−2i−2i00000000000000002i−2i0000
χ222222222-2-2-2-22-2-2-22222-200002200-200002-20000−2i−2i2i2i0000000000000000−2i2i0000
χ232222222-2-2-2-22-2-2-22222-20000-2-20020000-2200002i2i−2i−2i0000000000000000−2i2i0000
χ242222222-2-2-2-22-2-2-22222-20000-2-20020000-220000−2i−2i2i2i00000000000000002i−2i0000
χ25222222-2222-22-2-2-22-2-2-22220000200-2-20000000000002i−2i2i−2i000000000000002i−2i00
χ26222222-2222-22-2-2-22-2-2-22220000200-2-2000000000000−2i2i−2i2i00000000000000−2i2i00
χ27222222-2222-22-2-2-22-2-2-22-2-20000-200220000000000002i−2i2i−2i00000000000000−2i2i00
χ28222222-2222-22-2-2-22-2-2-22-2-20000-20022000000000000−2i2i−2i2i000000000000002i−2i00
χ29222222-22-2-22-2-2-22-2-222200002200-20000-222i2i−2i−2i0000000000000000002i−2i000000
χ30222222-22-2-22-2-2-22-2-222200002200-20000-22−2i−2i2i2i000000000000000000−2i2i000000
χ31222222-22-2-22-2-2-22-2-22220000-2-200200002-22i2i−2i−2i000000000000000000−2i2i000000
χ32222222-22-2-22-2-2-22-2-22220000-2-200200002-2−2i−2i2i2i0000000000000000002i−2i000000
χ33222222-2-222-2-222-2-2-222-20000220020000-2-2000000002-2-22000000002-200000000
χ34222222-2-222-2-222-2-2-222-20000220020000-2-200000000-222-200000000-2200000000
χ35222222-2-222-2-222-2-2-222-20000-2-200-2000022000000002-2-2200000000-2200000000
χ36222222-2-222-2-222-2-2-222-20000-2-200-200002200000000-222-2000000002-200000000
χ3722222-22-22-2-2-22-222-22-22220000-2002-200002i−2i2i−2i000000002i−2i0000000000000000
χ3822222-22-22-2-2-22-222-22-22220000-2002-20000−2i2i−2i2i00000000−2i2i0000000000000000
χ3922222-22-22-2-2-22-222-22-22-2-20000200-2200002i−2i2i−2i00000000−2i2i0000000000000000
χ4022222-22-22-2-2-22-222-22-22-2-20000200-220000−2i2i−2i2i000000002i−2i0000000000000000
χ4122222-2-22-22-2-22-2222-22-20022000-20002-20000002i−2i2i−2i0000002i−2i00000000000000
χ4222222-2-22-22-2-22-2222-22-20022000-20002-2000000−2i2i−2i2i000000−2i2i00000000000000
χ4322222-2-22-22-2-22-2222-22-200-2-20002000-220000002i−2i2i−2i000000−2i2i00000000000000
χ4422222-2-22-22-2-22-2222-22-200-2-20002000-22000000−2i2i−2i2i0000002i−2i00000000000000
χ4522222-2-2-22-22-2-22-222-222220000-200-22000000002-2-2200000000002-20000000000
χ4622222-2-2-22-22-2-22-222-222220000-200-2200000000-222-20000000000-220000000000
χ4722222-2-2-22-22-2-22-222-222-2-200002002-2000000002-2-220000000000-220000000000
χ4822222-2-2-22-22-2-22-222-222-2-200002002-200000000-222-200000000002-20000000000
χ4922222-2-2-2-22-22-222-222-220022000-2000-22002-2-220000000000002-2000000000000
χ5022222-2-2-2-22-22-222-222-220022000-2000-2200-222-2000000000000-22000000000000
χ5122222-2-2-2-22-22-222-222-2200-2-200020002-2002-2-22000000000000-22000000000000
χ5222222-2-2-2-22-22-222-222-2200-2-200020002-200-222-20000000000002-2000000000000
χ5344444444-4-4-4-444-4-44-4-44000000000000000000000000000000000000000000000
χ54444444-4-4-4-4444444-4-4-4-4000000000000000000000000000000000000000000000
χ5544444-4444-4-44-444-4-4-44-4000000000000000000000000000000000000000000000
χ5644444-444-444-4-44-44-44-4-4000000000000000000000000000000000000000000000
χ5744444-44-4-44444-4-4-4-4-444000000000000000000000000000000000000000000000
χ5844444-4-444-4444-4-4-444-4-4000000000000000000000000000000000000000000000
χ59161616-16-16000000000000000000000000000000000000000000000000000000000000
χ601616-1616-16000000000000000000000000000000000000000000000000000000000000
χ611616-16-1616000000000000000000000000000000000000000000000000000000000000
χ6216-160000000000000000004-44-44-4000000000000000000000000000000000000000
χ6316-160000000000000000004-4-44-44000000000000000000000000000000000000000
χ6416-16000000000000000000-444-4-44000000000000000000000000000000000000000
χ6516-16000000000000000000-44-444-4000000000000000000000000000000000000000

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