Finite Group Databasebeta

← Group #306134

Character table — Group #306134

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1111-11-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11111-1-1-11-11-1-1-1-111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ511111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11111-1-1-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111111-1-1-1-1
χ9111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1111-1-1-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1111111-1-111-11
χ11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1111-1-111-1-1-1-111-1-1-11
χ12111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-111-1-111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-11-1-1-111-1-111-1-111-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-11-1-111-1-1-1-111111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-11-1-1-1111111-1-1-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-111111-1-1-1-111-1-111-11
χ17222222222-2-2222-2-2-2-22222-2-2-2-2000000000000000022000022-20-2000000000000000
χ18222222222-2-2222-2-2-2-22222-2-2-2-20000000000000000-2-20000-2-2202000000000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-222220000000000000000220000-2-2-202000000000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-222220000000000000000-2-200002220-2000000000000000
χ2122222222-222-2-2-222-2-2000000002222-2-2-2-2000000000022-2-200020-200000000000000
χ2222222222-222-2-2-222-2-2000000002222-2-2-2-20000000000-2-222000-20200000000000000
χ2322222222-222-2-2-222-2-200000000-2-2-2-22222000000000022-2-2000-20200000000000000
χ2422222222-222-2-2-222-2-200000000-2-2-2-222220000000000-2-22200020-200000000000000
χ2522-222-2-2-2222-22-2-2-2-2200000000000000002222-2-2-2-2002-22-200000000002-200000000
χ2622-222-2-2-2222-22-2-2-2-2200000000000000002222-2-2-2-200-22-220000000000-2200000000
χ2722-222-2-2-2222-22-2-2-2-220000000000000000-2-2-2-22222002-22-20000000000-2200000000
χ2822-222-2-2-2222-22-2-2-2-220000000000000000-2-2-2-2222200-22-2200000000002-200000000
χ2922-222-2-2-2-2222-22-2-22-222-2-222-2-20000000000000000002-2-2200000000000000002-200
χ3022-222-2-2-2-2222-22-2-22-222-2-222-2-2000000000000000000-222-20000000000000000-2200
χ3122-222-2-2-2-2222-22-2-22-2-2-222-2-2220000000000000000002-2-220000000000000000-2200
χ3222-222-2-2-2-2222-22-2-22-2-2-222-2-222000000000000000000-222-200000000000000002-200
χ3322-222-2-2-2-2-2-22-2222-2222-2-2-2-22200000000000000000000000000002i−2i2i−2i0000000000
χ3422-222-2-2-2-2-2-22-2222-2222-2-2-2-2220000000000000000000000000000−2i2i−2i2i0000000000
χ3522-222-2-2-2-2-2-22-2222-22-2-22222-2-200000000000000000000000000002i−2i−2i2i0000000000
χ3622-222-2-2-2-2-2-22-2222-22-2-22222-2-20000000000000000000000000000−2i2i2i−2i0000000000
χ3722-2-2-22-22-20022-200002-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22i−2i00002i−2i00000000002−22−20000
χ3822-2-2-22-22-20022-200002-22-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2i0000−2i2i0000000000−22−220000
χ3922-2-2-22-22-20022-200002-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i−2i00002i−2i0000000000−22−220000
χ4022-2-2-22-22-20022-200002-22-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2i2i0000−2i2i00000000002−22−20000
χ4122-2-2-22-22-20022-20000-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22i−2i0000−2i2i00000000002−2−220000
χ4222-2-2-22-22-20022-20000-22-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2i2i00002i−2i0000000000−222−20000
χ4322-2-2-22-22-20022-20000-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22i−2i0000−2i2i0000000000−222−20000
χ4422-2-2-22-22-20022-20000-22-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2i2i00002i−2i00000000002−2−220000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-4-44-44004-4-400004-4-440000000000000000000000000000000000000000000000
χ47444-4-4-44-44004-4-40000-444-40000000000000000000000000000000000000000000000
χ48444-4-4-44-4-400-444000000000000000000002i22i2−2i2−2i2−2i2−2i22i22i200000000000000000000000000
χ49444-4-4-44-4-400-44400000000000000000000−2i2−2i22i22i22i22i2−2i2−2i200000000000000000000000000
χ5044-444-4-4-44-4-4-44-4444-400000000000000000000000000000000000000000000000000
χ5144-4-4-44-44400-4-440000000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ5244-4-4-44-44400-4-44000000000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ534-444-44-4-404-40004-400000000000000000022−2222−2222−2222−2200000000000000000000000000
χ544-444-44-4-404-40004-4000000000000000000−2222−2222−2222−222200000000000000000000000000
χ554-444-44-4-40-44000-44000000000000004-44-40000000000000000000000000000000000
χ564-444-44-4-40-44000-4400000000000000-44-440000000000000000000000000000000000
χ574-44-44-4-440000000000000022−2222−222i2−2i22i2−2i200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ584-44-44-4-440000000000000022−2222−22−2i22i2−2i22i20000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ594-44-44-4-4400000000000000−2222−22222i2−2i22i2−2i20000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ604-44-44-4-4400000000000000−2222−2222−2i22i2−2i22i200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ614-4-44-4-44404-4000-4400000000000000000022−2222−22−2222−222200000000000000000000000000
χ624-4-44-4-44404-4000-44000000000000000000−2222−222222−2222−2200000000000000000000000000
χ634-4-44-4-4440-440004-400000000004-4-4400000000000000000000000000000000000000
χ644-4-44-4-4440-440004-40000000000-444-400000000000000000000000000000000000000
χ654-4-4-4444-40000000000000022−22−222200002i2−2i2−2i22i22i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ664-4-4-4444-40000000000000022−22−22220000−2i22i22i2−2i2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ674-4-4-4444-400000000000000−222222−2200002i2−2i2−2i22i2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ684-4-4-4444-400000000000000−222222−220000−2i22i22i2−2i22i−2i−2i2i2i−2i−2i2i00000000000000000000000000

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