Finite Group Databasebeta

← Group #290149

Character table — Group #290149

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444888888888888888844444444488888888888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1111111-1-1-1-1111111-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ911111111111-1-1-1-111111-1-111-1-1111111111111-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-111-1-111-1-11-1
χ1011111111111-1-1-1-111111-1-111-1-1111111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-11
χ1111111111111-1-1-1-111111-1-111-1-111111111-1-1-1-11111-1-11111-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11
χ1211111111111-1-1-1-111111-1-111-1-111111111-1-1-1-11111-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ1311111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-11
χ1411111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1
χ1511111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1111-1
χ1611111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-1-11
χ172222222222-222222-2-2-2222-2-2-2-200000000000000002222-2-2-2-2-200000000000000000000000000
χ182222222222-222222-2-2-2222-2-2-2-20000000000000000-2-2-2-222-22200000000000000000000000000
χ192222222222-2-2-2-2-22-2-2-22-2-2-2-222000000000000000022-2-2222-2-200000000000000000000000000
χ202222222222-2-2-2-2-22-2-2-22-2-2-2-2220000000000000000-2-222-2-222200000000000000000000000000
χ2122222222-2-222222-2222-2-2-2-2-2220000000022222222000000-200-2-200000000-2-200000000000000
χ2222222222-2-222222-2222-2-2-2-2-22200000000-2-2-2-2-2-2-2-2000000-20022000000002200000000000000
χ2322222222-2-22-2-2-2-2-2222-222-2-2-2-2000000002222-2-2-2-20000002002200000000-2-200000000000000
χ2422222222-2-22-2-2-2-2-2222-222-2-2-2-200000000-2-2-2-22222000000200-2-2000000002200000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-222-2-22i2i2i2i−2i−2i−2i−2i000000000000002000000002i2i−2i−2i0000000000000000
χ2622222222-2-2-22222-2-2-2-2-2-2-222-2-2−2i−2i−2i−2i2i2i2i2i00000000000000200000000−2i−2i2i2i0000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222222i2i2i2i−2i−2i−2i−2i00000000000000-200000000−2i−2i2i2i0000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222−2i−2i−2i−2i2i2i2i2i00000000000000-2000000002i2i−2i−2i0000000000000000
χ29222-2-22-2-22-22000022-2-2-2002-20022-2-222-2-2000000000000000000022-2-200000000002-200000000
χ30222-2-22-2-22-22000022-2-2-2002-20022-2-222-2-20000000000000000000-2-2220000000000-2200000000
χ31222-2-22-2-22-22000022-2-2-2002-200-2-222-2-222000000000000000000022-2-20000000000-2200000000
χ32222-2-22-2-22-22000022-2-2-2002-200-2-222-2-2220000000000000000000-2-22200000000002-200000000
χ33222-2-22-2-2-22-20000-2-2222002-2002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000022-2-2002i−2i000000
χ34222-2-22-2-2-22-20000-2-2222002-2002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000-2-22200−2i2i000000
χ35222-2-22-2-2-22-20000-2-2222002-200−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000022-2-200−2i2i000000
χ36222-2-22-2-2-22-20000-2-2222002-200−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000-2-222002i−2i000000
χ3722-222-2-2-222022-2-2-2000-22-200002−22−22−22−222−2−222−2−22-22-2000002−200002−22−22−200000000000000
χ3822-222-2-2-222022-2-2-2000-22-200002−22−22−22−2−2−222−2−222-22-2200000−2200002−22−2−2200000000000000
χ3922-222-2-2-222022-2-2-2000-22-20000−22−22−22−2222−2−222−2−2-22-22000002−20000−22−222−200000000000000
χ4022-222-2-2-222022-2-2-2000-22-20000−22−22−22−22−2−222−2−2222-22-200000−220000−22−22−2200000000000000
χ4122-222-2-2-2220-2-222-2000-2-2200002−22−22−22−222−2−2−2−2222-2-2200000−220000−22−222−200000000000000
χ4222-222-2-2-2220-2-222-2000-2-2200002−22−22−22−2−2−22222−2−2-222-2000002−20000−22−22−2200000000000000
χ4322-222-2-2-2220-2-222-2000-2-220000−22−22−22−2222−2−2−2−222-222-200000−2200002−22−22−200000000000000
χ4422-222-2-2-2220-2-222-2000-2-220000−22−22−22−22−2−22222−2−22-2-22000002−200002−22−2−2200000000000000
χ4522-222-2-2-2-2-2022-2-220002-220000i2−i2i2−i2−i2i2−i2i222−2−222−2−200002i−2i02i−2i−220000i2−i2−i2i2−2200000000000000
χ4622-222-2-2-2-2-2022-2-220002-220000i2−i2i2−i2−i2i2−i2i2−2−222−2−2220000−2i2i0−2i2i2−20000i2−i2−i2i22−200000000000000
χ4722-222-2-2-2-2-2022-2-220002-220000−i2i2−i2i2i2−i2i2−i222−2−222−2−20000−2i2i0−2i2i−220000−i2i2i2−i2−2200000000000000
χ4822-222-2-2-2-2-2022-2-220002-220000−i2i2−i2i2i2−i2i2−i2−2−222−2−22200002i−2i02i−2i2−20000−i2i2i2−i22−200000000000000
χ4922-222-2-2-2-2-20-2-222200022-20000i2−i2i2−i2−i2i2−i2i222−2−2−2−2220000−2i2i02i−2i2−20000−i2i2i2−i2−2200000000000000
χ5022-222-2-2-2-2-20-2-222200022-20000i2−i2i2−i2−i2i2−i2i2−2−22222−2−200002i−2i0−2i2i−220000−i2i2i2−i22−200000000000000
χ5122-222-2-2-2-2-20-2-222200022-20000−i2i2−i2i2i2−i2i2−i222−2−2−2−22200002i−2i0−2i2i2−20000i2−i2−i2i2−2200000000000000
χ5222-222-2-2-2-2-20-2-222200022-20000−i2i2−i2i2i2−i2i2−i2−2−22222−2−20000−2i2i02i−2i−220000i2−i2−i2i22−200000000000000
χ532-222-2-2-2200-22i−2i2i−2i022-2000002i−2i000000002-22-22i−2i2i−2i00000000000i2−i2i2−i20000002−22−20000i2−i22−200
χ542-222-2-2-2200-22i−2i2i−2i022-2000002i−2i000000002-22-22i−2i2i−2i00000000000−i2i2−i2i2000000−22−220000−i2i2−2200
χ552-222-2-2-2200-22i−2i2i−2i022-2000002i−2i00000000-22-22−2i2i−2i2i00000000000i2−i2i2−i20000002−22−20000−i2i2−2200
χ562-222-2-2-2200-22i−2i2i−2i022-2000002i−2i00000000-22-22−2i2i−2i2i00000000000−i2i2−i2i2000000−22−220000i2−i22−200
χ572-222-2-2-2200-2−2i2i−2i2i022-200000−2i2i000000002-22-2−2i2i−2i2i00000000000i2−i2i2−i2000000−22−220000i2−i2−2200
χ582-222-2-2-2200-2−2i2i−2i2i022-200000−2i2i000000002-22-2−2i2i−2i2i00000000000−i2i2−i2i20000002−22−20000−i2i22−200
χ592-222-2-2-2200-2−2i2i−2i2i022-200000−2i2i00000000-22-222i−2i2i−2i00000000000i2−i2i2−i2000000−22−220000−i2i22−200
χ602-222-2-2-2200-2−2i2i−2i2i022-200000−2i2i00000000-22-222i−2i2i−2i00000000000−i2i2−i2i20000002−22−20000i2−i2−2200
χ61444-4-44-4-44-4-400004-444-400-4400000000000000000000000000000000000000000000000000000
χ62444-4-44-4-4-4440000-44-4-4400-4400000000000000000000000000000000000000000000000000000
χ6344-4-4-4-4444-400000-4000400000022−22−222222−22−22220000000000000000000000000000000000000000000
χ6444-4-4-4-4444-400000-40004000000−222222−22−222222−220000000000000000000000000000000000000000000
χ6544-4-4-4-444-44000004000-40000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000
χ6644-4-4-4-444-44000004000-4000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000
χ674-444-4-4-440044i−4i4i−4i0-4-4400000−4i4i000000000000000000000000000000000000000000000000000
χ684-444-4-4-44004−4i4i−4i4i0-4-44000004i−4i000000000000000000000000000000000000000000000000000
χ694-44-44-44-400400000-44-40000000000000000000000000000000000000000000022−22−22220000000000
χ704-44-44-44-400400000-44-400000000000000000000000000000000000000000000−222222−220000000000
χ714-44-44-44-400-4000004-4400000000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ724-44-44-44-400-4000004-440000000000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ734-4-44-444-40004i−4i−4i4i000000000000000000022−22−22222i2−2i2−2i22i200000000000000000000000000000000000
χ744-4-44-444-40004i−4i−4i4i0000000000000000000−222222−22−2i22i22i2−2i200000000000000000000000000000000000
χ754-4-44-444-4000−4i4i4i−4i000000000000000000022−22−2222−2i22i22i2−2i200000000000000000000000000000000000
χ764-4-44-444-4000−4i4i4i−4i0000000000000000000−222222−222i2−2i2−2i22i200000000000000000000000000000000000
χ778-8-8-888-88000000000000000000000000000000000000000000000000000000000000000000000

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