Finite Group Databasebeta

← Group #350144

Character table — Group #350144

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444444444444444444422222444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ9111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ10111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ11111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-11
χ12111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1
χ13111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-11
χ14111111111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1111-1
χ15111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ16111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-11111-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-2222222-2-2-2-2000022222200002222-2-2-200000000-2-2-2-20000000000000000000000
χ182222222222-2-2222222-2-2-2-20000-2-2-2-2220000-2-2-2-2-2-2-20000000022220000000000000000000000
χ192222222222-2-2-2-2-2-222-2-22200002222-2-20000-2-2-2-2-2-2200000000-2-2220000000000000000000000
χ202222222222-2-2-2-2-2-222-2-2220000-2-2-2-2-2-200002222-2-220000000022-2-20000000000000000000000
χ2122222222-2-2222222-2-2222222220000-2-222220000-2-2-20000-2-2-2-200000000000000000000000000
χ2222222222-2-2222222-2-22222-2-2-2-20000-2-2-2-2-2-20000-2-2-20000222200000000000000000000000000
χ2322222222-2-222-2-2-2-2-2-222-2-22222000022-2-2-2-20000-2-220000-2-22200000000000000000000000000
χ2422222222-2-222-2-2-2-2-2-222-2-2-2-2-2-200002222220000-2-22000022-2-200000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-200000000-2-20000000022222-2-20000000022-2-2000000000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-200000000-2-200000000222-2-22200000000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22200000000220000000022-222-2-200000000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22200000000220000000022-2-2-2220000000022-2-2000000000000000000
χ29222-2-2-2-222-2002i2i−2i−2i2-2000000002i2i−2i−2i2i−2i000022-2-20000000000000000000i2i2−i2−i222−2−200002−2i2−i200
χ30222-2-2-2-222-2002i2i−2i−2i2-2000000002i2i−2i−2i2i−2i000022-2-20000000000000000000−i2−i2i2i2−2−2220000−22−i2i200
χ31222-2-2-2-222-2002i2i−2i−2i2-200000000−2i−2i2i2i2i−2i0000-2-2220000000000000000000i2i2−i2−i222−2−20000−22−i2i200
χ32222-2-2-2-222-2002i2i−2i−2i2-200000000−2i−2i2i2i2i−2i0000-2-2220000000000000000000−i2−i2i2i2−2−22200002−2i2−i200
χ33222-2-2-2-222-200−2i−2i2i2i2-2000000002i2i−2i−2i−2i2i0000-2-2220000000000000000000i2i2−i2−i2−2−22200002−2−i2i200
χ34222-2-2-2-222-200−2i−2i2i2i2-2000000002i2i−2i−2i−2i2i0000-2-2220000000000000000000−i2−i2i2i222−2−20000−22i2−i200
χ35222-2-2-2-222-200−2i−2i2i2i2-200000000−2i−2i2i2i−2i2i000022-2-20000000000000000000i2i2−i2−i2−2−2220000−22i2−i200
χ36222-2-2-2-222-200−2i−2i2i2i2-200000000−2i−2i2i2i−2i2i000022-2-20000000000000000000−i2−i2i2i222−2−200002−2−i2i200
χ3722-2-2-222-22-22-20000-222-20000002i−2i2i−2i002i2i−2i−2i00002-200000002i−2i2i−2i002-22-2000000000000000000
χ3822-2-2-222-22-22-20000-222-20000002i−2i2i−2i00−2i−2i2i2i00002-20000000−2i2i2i−2i00-22-22000000000000000000
χ3922-2-2-222-22-22-20000-222-2000000−2i2i−2i2i002i2i−2i−2i00002-200000002i−2i−2i2i00-22-22000000000000000000
χ4022-2-2-222-22-22-20000-222-2000000−2i2i−2i2i00−2i−2i2i2i00002-20000000−2i2i−2i2i002-22-2000000000000000000
χ4122-2-2-222-22-2-220000-22-22002i2i−2i−2i2i−2i2i−2i0000000000-2202-22-22i−2i00−2i2i000000000000000000000000
χ4222-2-2-222-22-2-220000-22-22002i2i−2i−2i−2i2i−2i2i0000000000-220-22-222i−2i002i−2i000000000000000000000000
χ4322-2-2-222-22-2-220000-22-2200−2i−2i2i2i2i−2i2i−2i0000000000-220-22-22−2i2i00−2i2i000000000000000000000000
χ4422-2-2-222-22-2-220000-22-2200−2i−2i2i2i−2i2i−2i2i0000000000-2202-22-2−2i2i002i−2i000000000000000000000000
χ4522-2-2-222-2-222-200002-22-20000000000002i2i−2i−2i2i−2i2i−2i-2202-2-2200−2i2i002i−2i0000000000000000000000
χ4622-2-2-222-2-222-200002-22-20000000000002i2i−2i−2i−2i2i−2i2i-220-222-200−2i2i00−2i2i0000000000000000000000
χ4722-2-2-222-2-222-200002-22-2000000000000−2i−2i2i2i2i−2i2i−2i-220-222-2002i−2i002i−2i0000000000000000000000
χ4822-2-2-222-2-222-200002-22-2000000000000−2i−2i2i2i−2i2i−2i2i-2202-2-22002i−2i00−2i2i0000000000000000000000
χ4922-2-2-222-2-22-2200002-2-22002i2i−2i−2i00000000002i−2i2i−2i2-200000−2i2i0000−2i2i2-2-22000000000000000000
χ5022-2-2-222-2-22-2200002-2-22002i2i−2i−2i0000000000−2i2i−2i2i2-200000−2i2i00002i−2i-222-2000000000000000000
χ5122-2-2-222-2-22-2200002-2-2200−2i−2i2i2i00000000002i−2i2i−2i2-2000002i−2i0000−2i2i-222-2000000000000000000
χ5222-2-2-222-2-22-2200002-2-2200−2i−2i2i2i0000000000−2i2i−2i2i2-2000002i−2i00002i−2i2-2-22000000000000000000
χ532-222-22-2-200-222i−2i2i−2i002-22i−2i2-22-20000002i−2i2i−2i000000000000000000000002−22−2i2−i2i2−i22−2i2−i2000000
χ542-222-22-2-200-222i−2i2i−2i002-22i−2i2-22-20000002i−2i2i−2i00000000000000000000000−22−22−i2i2−i2i2−22−i2i2000000
χ552-222-22-2-200-222i−2i2i−2i002-22i−2i-22-22000000−2i2i−2i2i000000000000000000000002−22−2i2−i2i2−i2−22−i2i2000000
χ562-222-22-2-200-222i−2i2i−2i002-22i−2i-22-22000000−2i2i−2i2i00000000000000000000000−22−22−i2i2−i2i22−2i2−i2000000
χ572-222-22-2-200-22−2i2i−2i2i002-2−2i2i2-22-2000000−2i2i−2i2i000000000000000000000002−22−2−i2i2−i2i22−2−i2i2000000
χ582-222-22-2-200-22−2i2i−2i2i002-2−2i2i2-22-2000000−2i2i−2i2i00000000000000000000000−22−22i2−i2i2−i2−22i2−i2000000
χ592-222-22-2-200-22−2i2i−2i2i002-2−2i2i-22-220000002i−2i2i−2i000000000000000000000002−22−2−i2i2−i2i2−22i2−i2000000
χ602-222-22-2-200-22−2i2i−2i2i002-2−2i2i-22-220000002i−2i2i−2i00000000000000000000000−22−22i2−i2i2−i22−2−i2i2000000
χ61444-4-4-4-44-44004i4i−4i−4i-44000000000000−4i4i000000000000000000000000000000000000000000000
χ62444-4-4-4-44-4400−4i−4i4i4i-440000000000004i−4i000000000000000000000000000000000000000000000
χ6344-444-4-4-444000000-4-4000000004-4-4400000000000000000000000000000000000000000000000
χ6444-444-4-4-444000000-4-400000000-444-400000000000000000000000000000000000000000000000
χ6544-444-4-4-4-4-4000000440000000000000000004i−4i−4i4i0000000000000000000000000000000000000
χ6644-444-4-4-4-4-400000044000000000000000000−4i4i4i−4i0000000000000000000000000000000000000
χ674-444-44-4-4004-44i−4i4i−4i00-44−4i4i0000000000000000000000000000000000000000000000000000000
χ684-444-44-4-4004-4−4i4i−4i4i00-444i−4i0000000000000000000000000000000000000000000000000000000
χ694-44-44-44-400004-4-4400000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000
χ704-44-44-44-400004-4-440000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000
χ714-44-44-44-40000-444-400000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000
χ724-44-44-44-40000-444-40000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000
χ734-4-4-444-440044000000-4-4004i−4i−4i4i000000000000000000000000000000000000000000000000000
χ744-4-4-444-440044000000-4-400−4i4i4i−4i000000000000000000000000000000000000000000000000000
χ754-4-4-444-4400-4-4000000440000000000004-4-4400000000000000000000000000000000000000000
χ764-4-4-444-4400-4-400000044000000000000-444-400000000000000000000000000000000000000000
χ778-8-88-8-888000000000000000000000000000000000000000000000000000000000000000000000

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