Finite Group Databasebeta

← Group #308627

Character table — Group #308627

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-11-1-1-1-111-1
χ31111111111111111111111111111-1-111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11111-1-11
χ51111111111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-11-1-111-1-11
χ71111111111111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111
χ81111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-111-1
χ911111111111111111-1-1-1-111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1111111-1-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111111-1-1-1-1111-1-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1111-1-111-1-1-11111-1
χ17222222222-2-22-222-2-22222-20000-2-2220000000022-2-2000000000000000-20000000
χ18222222222-2-22-222-2-22222-20000-2-2-2-200000000-2-22200000000000000020000000
χ19222222222-2-22-222-2-2-2-2-2-2-20000222200000000-2-222000000000000000-20000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000022-2-20000000022-2-200000000000000020000000
χ2122222222-222-22-2-22-20000-2222200002222-2-2-2-2000000000000-200000000000000
χ2222222222-222-22-2-22-20000-222220000-2-2-2-222-2-2000000000000200000000000000
χ2322222222-222-22-2-22-20000-2-2-2-2-2000022-2-2-2-222000000000000200000000000000
χ2422222222-222-22-2-22-20000-2-2-2-2-20000-2-2222222000000000000-200000000000000
χ25222-2-2-22-2222-2-22-2-2222-2-2-200002-20000000000000000000000000002-202-200000
χ26222-2-2-22-2222-2-22-2-2222-2-2-200002-2000000000000000000000000000-220-2200000
χ27222-2-2-22-2222-2-22-2-22-2-222-20000-220000000000000000000000000002-20-2200000
χ28222-2-2-22-2222-2-22-2-22-2-222-20000-22000000000000000000000000000-2202-200000
χ29222-2-2-22-22-2-2-222-22-222-2-220000-22002i−2i002i−2i0000000000000002i−2i000000000000
χ30222-2-2-22-22-2-2-222-22-222-2-220000-2200−2i2i00−2i2i000000000000000−2i2i000000000000
χ31222-2-2-22-22-2-2-222-22-2-2-222200002-2002i−2i002i−2i000000000000000−2i2i000000000000
χ32222-2-2-22-22-2-2-222-22-2-2-222200002-200−2i2i00−2i2i0000000000000002i−2i000000000000
χ33222-2-2-22-2-2-2-222-22220000-2000000002i−2i00−2i2i00000022-2-200000002i−2i0000000000
χ34222-2-2-22-2-2-2-222-22220000-2000000002i−2i00−2i2i000000-2-2220000000−2i2i0000000000
χ35222-2-2-22-2-2-2-222-22220000-200000000−2i2i002i−2i00000022-2-20000000−2i2i0000000000
χ36222-2-2-22-2-2-2-222-22220000-200000000−2i2i002i−2i000000-2-22200000002i−2i0000000000
χ3722-2-22-2-22-200202-2002i−2i2i−2i0i2i2−i2−i2002i−2i000000i2−i22-2002−22−2i2i2−i2−i20000000000002−20
χ3822-2-22-2-22-200202-2002i−2i2i−2i0i2i2−i2−i200−2i2i000000i2−i2-22002−22−2−i2−i2i2i2000000000000−220
χ3922-2-22-2-22-200202-2002i−2i2i−2i0−i2−i2i2i2002i−2i000000−i2i22-200−22−22−i2−i2i2i2000000000000−220
χ4022-2-22-2-22-200202-2002i−2i2i−2i0−i2−i2i2i200−2i2i000000−i2i2-2200−22−22i2i2−i2−i20000000000002−20
χ4122-2-22-2-22-200202-200−2i2i−2i2i0i2i2−i2−i2002i−2i000000i2−i2-2200−22−22−i2−i2i2i20000000000002−20
χ4222-2-22-2-22-200202-200−2i2i−2i2i0i2i2−i2−i200−2i2i000000i2−i22-200−22−22i2i2−i2−i2000000000000−220
χ4322-2-22-2-22-200202-200−2i2i−2i2i0−i2−i2i2i2002i−2i000000−i2i2-22002−22−2i2i2−i2−i2000000000000−220
χ4422-2-22-2-22-200202-200−2i2i−2i2i0−i2−i2i2i200−2i2i000000−i2i22-2002−22−2−i2−i2i2i20000000000002−20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-4-4444-4-44-4-4000040000000000000000000000000000000000000000000
χ4744-44-44-4-440040-4-400000000000000000000000000022−22−22220000000000000000000
χ4844-44-44-4-440040-4-4000000000000000000000000000−222222−220000000000000000000
χ4944-44-44-4-4-400-4044004i−4i−4i4i00000000000000000000000000000000000000000000
χ5044-44-44-4-4-400-404400−4i4i4i−4i00000000000000000000000000000000000000000000
χ5144-4-44-4-44400-40-4400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5244-4-44-4-44400-40-440000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ534-44-4-44-44000000000000002i2−2i22i2−2i2000000000000002i2−2i200002-22-2000000000000000
χ544-44-4-44-44000000000000002i2−2i22i2−2i200000000000000−2i22i20000-22-22000000000000000
χ554-44-4-44-4400000000000000−2i22i2−2i22i2000000000000002i2−2i20000-22-22000000000000000
χ564-44-4-44-4400000000000000−2i22i2−2i22i200000000000000−2i22i200002-22-2000000000000000
χ574-4-44-4-44404-40400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-4-44-4-44404-40400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ594-4-44-4-4440-440-40040000004-4-44000000000000000000000000000000000000000
χ604-4-44-4-4440-440-4004000000-444-4000000000000000000000000000000000000000
χ614-4-4-4444-404-40-400400000000000000004-40000000000000000000000000000000
χ624-4-4-4444-404-40-40040000000000000000-440000000000000000000000000000000
χ634-4-4-4444-40-440400-4000000000000000000000000000000000000000000002i2−2i2000
χ644-4-4-4444-40-440400-400000000000000000000000000000000000000000000−2i22i2000
χ658-8888-8-8-8000000000000000000000000000000000000000000000000000000000

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