Finite Group Databasebeta

← Group #287263

Character table — Group #287263

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size111111112222222222224444444444444444444444888888888888888888888888816161616161616163232
order12222222444444444444444444888888888888888822444444488888888888888884444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111
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
χ911111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-11
χ1211111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222222-222-2-22-2-2-222-2-2222222220000000000-2000000-2-200000000-2-200000000000000
χ182222222222222-222-2-22-2-2-222-2-2-2-2-2-2-2-2-2-20000000000-200000022000000002200000000000000
χ19222222222222-22-2-222-22-2-2-2-222000000000000000022-222-2-2-2-200000000000000000000000000
χ20222222222222-22-2-222-22-2-2-2-2220000000000000000-2-2-2-2-2222200000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000002i2i2i2i−2i−2i−2i−2i002000000002i2i−2i−2i00000000000000000000
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000−2i−2i−2i−2i2i2i2i2i00200000000−2i−2i2i2i00000000000000000000
χ2322222222-2-2-2-22-222-2-22-2-2-2-2-2222222-2-2-2-2000000000020000002200000000-2-200000000000000
χ2422222222-2-2-2-22-222-2-22-2-2-2-2-222-2-2-2-2222200000000002000000-2-2000000002200000000000000
χ2522222222-2-2-2-2-22-2-222-22-2-222-2-20000000000000000222-2-2-2-22200000000000000000000000000
χ2622222222-2-2-2-2-22-2-222-22-2-222-2-20000000000000000-2-222222-2-200000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000002i2i2i2i−2i−2i−2i−2i00-200000000−2i−2i2i2i00000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200000000−2i−2i−2i−2i2i2i2i2i00-2000000002i2i−2i−2i00000000000000000000
χ2922-22-2-2-222i2i−2i−2i-202200-20002i−2i0022-2-22i2i−2i−2i0000000000000000000000022−2−200i2i2−i2−i200002−2i2−i200
χ3022-22-2-2-222i2i−2i−2i-202200-20002i−2i0022-2-22i2i−2i−2i00000000000000000000000−2−22200−i2−i2i2i20000−22−i2i200
χ3122-22-2-2-222i2i−2i−2i-202200-20002i−2i00-2-222−2i−2i2i2i0000000000000000000000022−2−200i2i2−i2−i20000−22−i2i200
χ3222-22-2-2-222i2i−2i−2i-202200-20002i−2i00-2-222−2i−2i2i2i00000000000000000000000−2−22200−i2−i2i2i200002−2i2−i200
χ3322-22-2-2-22−2i−2i2i2i-202200-2000−2i2i0022-2-2−2i−2i2i2i0000000000000000000000022−2−200−i2−i2i2i200002−2−i2i200
χ3422-22-2-2-22−2i−2i2i2i-202200-2000−2i2i0022-2-2−2i−2i2i2i00000000000000000000000−2−22200i2i2−i2−i20000−22i2−i200
χ3522-22-2-2-22−2i−2i2i2i-202200-2000−2i2i00-2-2222i2i−2i−2i0000000000000000000000022−2−200−i2−i2i2i20000−22i2−i200
χ3622-22-2-2-22−2i−2i2i2i-202200-2000−2i2i00-2-2222i2i−2i−2i00000000000000000000000−2−22200i2i2−i2−i200002−2−i2i200
χ3722-2-2-222-22i−2i2i−2i0200-2-20200002i−2i2−22−2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-202i−2i0000i2−i22−22−200002−200000000000000
χ3822-2-2-222-22i−2i2i−2i0200-2-20200002i−2i2−22−2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2-220−2i2i0000i2−i2−22−2200002−200000000000000
χ3922-2-2-222-22i−2i2i−2i0200-2-20200002i−2i−22−22−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2-220−2i2i0000−i2i22−22−20000−2200000000000000
χ4022-2-2-222-22i−2i2i−2i0200-2-20200002i−2i−22−22−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-202i−2i0000−i2i2−22−220000−2200000000000000
χ4122-2-2-222-22i−2i2i−2i0-200220-20000−2i2i2−22−2i2−i2i2−i222−2−2−2−222000002i−2i2-2−i2i2−i2i2i2−i20000−2200000000000000
χ4222-2-2-222-22i−2i2i−2i0-200220-20000−2i2i2−22−2i2−i2i2−i2−2−22222−2−200000−2i2i-22−i2i2i2−i2−i2i20000−2200000000000000
χ4322-2-2-222-22i−2i2i−2i0-200220-20000−2i2i−22−22−i2i2−i2i222−2−2−2−22200000−2i2i-22i2−i2−i2i2i2−i200002−200000000000000
χ4422-2-2-222-22i−2i2i−2i0-200220-20000−2i2i−22−22−i2i2−i2i2−2−22222−2−2000002i−2i2-2i2−i2i2−i2−i2i200002−200000000000000
χ4522-2-2-222-2−2i2i−2i2i0200-2-2020000−2i2i2−22−2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2-2202i−2i0000−i2i2−22−2200002−200000000000000
χ4622-2-2-222-2−2i2i−2i2i0200-2-2020000−2i2i2−22−2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-20−2i2i0000−i2i22−22−200002−200000000000000
χ4722-2-2-222-2−2i2i−2i2i0200-2-2020000−2i2i−22−22i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-20−2i2i0000i2−i2−22−220000−2200000000000000
χ4822-2-2-222-2−2i2i−2i2i0200-2-2020000−2i2i−22−22i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2-2202i−2i0000i2−i22−22−20000−2200000000000000
χ4922-2-2-222-2−2i2i−2i2i0-200220-200002i−2i2−22−2−i2i2−i2i222−2−2−2−22200000−2i2i2-2i2−i2i2−i2−i2i20000−2200000000000000
χ5022-2-2-222-2−2i2i−2i2i0-200220-200002i−2i2−22−2−i2i2−i2i2−2−22222−2−2000002i−2i-22i2−i2−i2i2i2−i20000−2200000000000000
χ5122-2-2-222-2−2i2i−2i2i0-200220-200002i−2i−22−22i2−i2i2−i222−2−2−2−222000002i−2i-22−i2i2i2−i2−i2i200002−200000000000000
χ5222-2-2-222-2−2i2i−2i2i0-200220-200002i−2i−22−22i2−i2i2−i2−2−22222−2−200000−2i2i2-2−i2i2−i2i2i2−i200002−200000000000000
χ532-2-222-22-200002-22-22-2-222-20000000000002i−2i2i−2i2i−2i2i−2i0000000000000002i−2i2i−2i0000002-200000000
χ542-2-222-22-200002-22-22-2-222-20000000000002i−2i2i−2i2i−2i2i−2i000000000000000−2i2i−2i2i000000-2200000000
χ552-2-222-22-200002-22-22-2-222-2000000000000−2i2i−2i2i−2i2i−2i2i0000000000000002i−2i2i−2i000000-2200000000
χ562-2-222-22-200002-22-22-2-222-2000000000000−2i2i−2i2i−2i2i−2i2i000000000000000−2i2i−2i2i0000002-200000000
χ572-2-222-22-20000-22-22-222-22-20000000000002-22-2-22-220000000000000000000002i−2i2i−2i002i−2i000000
χ582-2-222-22-20000-22-22-222-22-20000000000002-22-2-22-22000000000000000000000−2i2i−2i2i00−2i2i000000
χ592-2-222-22-20000-22-22-222-22-2000000000000-22-222-22-20000000000000000000002i−2i2i−2i00−2i2i000000
χ602-2-222-22-20000-22-22-222-22-2000000000000-22-222-22-2000000000000000000000−2i2i−2i2i002i−2i000000
χ61444-44-4-4-44-4-440000000000000022−22−222222−22−22220000000000000000000000000000000000000000000
χ62444-44-4-4-44-4-4400000000000000−222222−22−222222−220000000000000000000000000000000000000000000
χ63444-44-4-4-4-444-40000000000000022−22−2222−222222−220000000000000000000000000000000000000000000
χ64444-44-4-4-4-444-400000000000000−222222−2222−22−22220000000000000000000000000000000000000000000
χ6544-44-4-4-444i4i−4i−4i40-4-4004000−4i4i00000000000000000000000000000000000000000000000000000
χ6644-44-4-4-44−4i−4i4i4i40-4-40040004i−4i00000000000000000000000000000000000000000000000000000
χ674-444-44-4-4000040-4400-40000000000000000000000000000000000000000000022−22−22220000000000
χ684-444-44-4-4000040-4400-400000000000000000000000000000000000000000000−222222−220000000000
χ694-444-44-4-40000-404-4004000000000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ704-444-44-4-40000-404-400400000000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ714-44-4-4-444000004004-40-4000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000
χ724-44-4-4-444000004004-40-400000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000
χ734-44-4-4-44400000-400-44040000000000000022−22−222222−22−222200000000000000000000000000000000000
χ744-44-4-4-44400000-400-440400000000000000−222222−22−222222−2200000000000000000000000000000000000
χ754-4-444-44-40000444-4-44-4-4-440000000000000000000000000000000000000000000000000000000
χ764-4-444-44-40000-4-4-444-444-440000000000000000000000000000000000000000000000000000000
χ778-8-8-888-88000000000000000000000000000000000000000000000000000000000000000000000

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