Finite Group Databasebeta

← Group #246453

Character table — Group #246453

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444224444448888888888888888444444444444222244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11-1-1-11-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-11-1-1-11-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1-11-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-1-1111111111-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111
χ911111111-1-1-1-111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ1011111111-1-1-1-111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-11111-1-1-11111-1-1-1-111
χ1111111111-1-1-1-111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-111-11-1-111-1-11111-1-1
χ1211111111-1-1-1-111111111-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111
χ1311111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1411111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-11111-111-1-1-1-11111-1-1
χ1511111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111-1-11-111-1111-1-111-1-1-1-111
χ1611111111-1-1-1-111111111-1-11-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1
χ1722222222222222-2-222-2-2-2-2-222-2-2-200000000000000000022000000220-2000-2000000000000
χ1822222222222222-2-222-2-2-2-2-222-2-2-2000000000000000000-2-2000000-2-2020002000000000000
χ19222222222222-2-222-2-222-2-2-2-2-222-20000000000000000220000002200-2000-20000000000000
χ20222222222222-2-222-2-222-2-2-2-2-222-20000000000000000-2-2000000-2-200200020000000000000
χ21222222222222-2-2-2-2-2-2-2-2222-2-2-2-220000000000000000000022-2-20000002-200000000000000
χ22222222222222-2-2-2-2-2-2-2-2222-2-2-2-2200000000000000000000-2-222000000-2200000000000000
χ2322222222-2-2-2-222-2-222-2-222-2-2-222-200000000000000000022000000-2-202000-2000000000000
χ2422222222-2-2-2-222-2-222-2-222-2-2-222-2000000000000000000-2-2000000220-20002000000000000
χ2522222222-2-2-2-2-2-222-2-22222-222-2-2-2000000000000000022000000-2-2002000-20000000000000
χ2622222222-2-2-2-2-2-222-2-22222-222-2-2-20000000000000000-2-20000002200-200020000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000022-2-2000000-2200000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222200000000000000000000-2-2220000002-200000000000000
χ29222-2-2-22-22i2i−2i−2i002-2002-2000002i−2i0i2i2i2i2−i2−i2−i2−i22222−2−2−2−22-20000002i−2i000000000000i2−i22−20000
χ30222-2-2-22-22i2i−2i−2i002-2002-2000002i−2i0i2i2i2i2−i2−i2−i2−i22222−2−2−2−2-22000000−2i2i000000000000−i2i2−220000
χ31222-2-2-22-22i2i−2i−2i002-2002-2000002i−2i0−i2−i2−i2−i2i2i2i2i2−2−2−2−222222-20000002i−2i000000000000−i2i2−220000
χ32222-2-2-22-22i2i−2i−2i002-2002-2000002i−2i0−i2−i2−i2−i2i2i2i2i2−2−2−2−22222-22000000−2i2i000000000000i2−i22−20000
χ33222-2-2-22-2−2i−2i2i2i002-2002-200000−2i2i0i2i2i2i2−i2−i2−i2−i2−2−2−2−222222-2000000−2i2i000000000000i2−i2−220000
χ34222-2-2-22-2−2i−2i2i2i002-2002-200000−2i2i0i2i2i2i2−i2−i2−i2−i2−2−2−2−22222-220000002i−2i000000000000−i2i22−20000
χ35222-2-2-22-2−2i−2i2i2i002-2002-200000−2i2i0−i2−i2−i2−i2i2i2i2i22222−2−2−2−22-2000000−2i2i000000000000−i2i22−20000
χ36222-2-2-22-2−2i−2i2i2i002-2002-200000−2i2i0−i2−i2−i2−i2i2i2i2i22222−2−2−2−2-220000002i−2i000000000000i2−i2−220000
χ3722-22-2-2-222i−2i2i−2i2-2002-2000002i−2i00022−2−222−2−2i2i2−i2−i2i2i2−i2−i2002-20000002i−2i000000000000002−2i2−i2
χ3822-22-2-2-222i−2i2i−2i2-2002-2000002i−2i00022−2−222−2−2i2i2−i2−i2i2i2−i2−i200-22000000−2i2i00000000000000−22−i2i2
χ3922-22-2-2-222i−2i2i−2i2-2002-2000002i−2i000−2−222−2−222−i2−i2i2i2−i2−i2i2i2002-20000002i−2i00000000000000−22−i2i2
χ4022-22-2-2-222i−2i2i−2i2-2002-2000002i−2i000−2−222−2−222−i2−i2i2i2−i2−i2i2i200-22000000−2i2i000000000000002−2i2−i2
χ4122-22-2-2-22−2i2i−2i2i2-2002-200000−2i2i00022−2−222−2−2−i2−i2i2i2−i2−i2i2i2002-2000000−2i2i000000000000002−2−i2i2
χ4222-22-2-2-22−2i2i−2i2i2-2002-200000−2i2i00022−2−222−2−2−i2−i2i2i2−i2−i2i2i200-220000002i−2i00000000000000−22i2−i2
χ4322-22-2-2-22−2i2i−2i2i2-2002-200000−2i2i000−2−222−2−222i2i2−i2−i2i2i2−i2−i2002-2000000−2i2i00000000000000−22i2−i2
χ4422-22-2-2-22−2i2i−2i2i2-2002-200000−2i2i000−2−222−2−222i2i2−i2−i2i2i2−i2−i200-220000002i−2i000000000000002−2−i2i2
χ452-2-2-2-222200002-2-22-222-200-200002000000002-22-22-22-200002-22-20000000000002-200000000
χ462-2-2-2-222200002-2-22-222-200-200002000000002-22-22-22-20000-22-22000000000000-2200000000
χ472-2-2-2-222200002-2-22-222-200-20000200000000-22-22-22-2200002-22-2000000000000-2200000000
χ482-2-2-2-222200002-2-22-222-200-20000200000000-22-22-22-220000-22-220000000000002-200000000
χ492-2-2-2-22220000-222-22-2-2200-2000022-22-22-22-20000000000002-2-2200000000002-20000000000
χ502-2-2-2-22220000-222-22-2-2200-2000022-22-22-22-2000000000000-222-20000000000-220000000000
χ512-2-2-2-22220000-222-22-2-2200-200002-22-22-22-220000000000002-2-220000000000-220000000000
χ522-2-2-2-22220000-222-22-2-2200-200002-22-22-22-22000000000000-222-200000000002-20000000000
χ53444-4-4-44-44i4i−4i−4i00-4400-4400000−4i4i00000000000000000000000000000000000000000000000
χ54444-4-4-44-4−4i−4i4i4i00-4400-44000004i−4i00000000000000000000000000000000000000000000000
χ5544-44-4-4-444i−4i4i−4i-4400-4400000−4i4i0000000000000000000000000000000000000000000000000
χ5644-44-4-4-44−4i4i−4i4i-4400-44000004i−4i0000000000000000000000000000000000000000000000000
χ5744-4-444-4-44-4-4400000000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ5844-4-444-4-44-4-440000000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ5944-4-444-4-4-444-400000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ6044-4-444-4-4-444-40000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ614-444-44-4-40000000000004-40000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ624-444-44-4-40000000000004-4000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ634-444-44-4-4000000000000-440000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ644-444-44-4-4000000000000-44000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ654-44-44-4-4400004400-4-40000000000000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ664-44-44-4-4400004400-4-4000000000000000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ674-44-44-4-440000-4-40044000000000022−22−222222−22−222200000000000000000000000000000000000000
χ684-44-44-4-440000-4-400440000000000−222222−22−222222−2200000000000000000000000000000000000000
χ694-4-444-44-40000004400-4-4000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000
χ704-4-444-44-40000004400-4-400000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000
χ714-4-444-44-4000000-4-40044000000000000000022−2222−22−2222−2222000000000000000000000000000000
χ724-4-444-44-4000000-4-400440000000000000000−2222−222222−2222−22000000000000000000000000000000
χ734-4-4-4-444400004-44-4-44-440040000-40000000000000000000000000000000000000000000000
χ744-4-4-4-44440000-44-444-44-40040000-40000000000000000000000000000000000000000000000

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