Finite Group Databasebeta

← Group #328632

Character table — Group #328632

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444422444444488888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111111111-1-11-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-11-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-1-1-1
χ7111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1
χ8111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ911111111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1111-1-1-11-111-1-111-1-11-1
χ1011111111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1111-11-1-11111-1-1-11
χ1111111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111111-1-1-11-1-1-111-1-111-11
χ1211111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1111-1111-1-1-1-1111-1
χ1311111111111111111-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-111-11-1-1-11-1-111-1-1111-1
χ1411111111111111111-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-11-1111-111-1-1-1-111-11
χ1511111111111111111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1111111-11-1-1-1111-1-111-1-1-11
χ1611111111111111111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-11-1111-1-1-11111-1-11-1
χ172222222222-2-2-222-2-22222-2-2-222-222-2-2-2-200000000000000000000000000
χ182222222222-2-2-222-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000
χ192222222222-2-2-222-2-2-2-2-2-222-2222-2-222-2-200000000000000000000000000
χ202222222222-2-2-222-2-2-2-2-2-222-2-2-2222-2-22200000000000000000000000000
χ2122222222-2-2222-2-22-222-2-222-200-200000000000000002-200-220000000000
χ2222222222-2-2222-2-22-222-2-222-200-20000000000000000-22002-20000000000
χ2322222222-2-2222-2-22-2-2-222-2-2-200200000000000000002200-2-20000000000
χ2422222222-2-2222-2-22-2-2-222-2-2-20020000000000000000-2-200220000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-22002000000000000002-2002-2000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-2200200000000000000-2200-22000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-22222200-2000000000000002-200-22000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22222200-200000000000000-22002-2000000000000
χ2922-2-222-2-22-20002-2002i−2i2i−2i0002-202i−2i000022−2−2i2i2−i2−i20000000000002−2i2−i200
χ3022-2-222-2-22-20002-2002i−2i2i−2i0002-202i−2i0000−2−222−i2−i2i2i2000000000000−22−i2i200
χ3122-2-222-2-22-20002-2002i−2i2i−2i000-220−2i2i000022−2−2i2i2−i2−i2000000000000−22−i2i200
χ3222-2-222-2-22-20002-2002i−2i2i−2i000-220−2i2i0000−2−222−i2−i2i2i20000000000002−2i2−i200
χ3322-2-222-2-22-20002-200−2i2i−2i2i0002-20−2i2i000022−2−2−i2−i2i2i20000000000002−2−i2i200
χ3422-2-222-2-22-20002-200−2i2i−2i2i0002-20−2i2i0000−2−222i2i2−i2−i2000000000000−22i2−i200
χ3522-2-222-2-22-20002-200−2i2i−2i2i000-2202i−2i000022−2−2−i2−i2i2i2000000000000−22i2−i200
χ3622-2-222-2-22-20002-200−2i2i−2i2i000-2202i−2i0000−2−222i2i2−i2−i20000000000002−2−i2i200
χ3744-4-444-4-4-44000-44004i−4i−4i4i00000000000000000000000000000000000000
χ3844-4-444-4-4-44000-4400−4i4i4i−4i00000000000000000000000000000000000000
χ3944-4-4-4-4440044-400-40000000000000000000000000000000002i2−2i200000000
χ4044-4-4-4-4440044-400-4000000000000000000000000000000000−2i22i200000000
χ4144-4-4-4-44400-4-440040000000000000000000000000000000000022−22000000
χ4244-4-4-4-44400-4-4400400000000000000000000000000000000000−2222000000
χ434-44-44-44-400000000000004-400000000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ444-44-44-44-400000000000004-40000000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ454-44-44-44-40000000000000-4400000000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ464-44-44-44-40000000000000-440000000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ474-44-4-44-44444-44-4-4-44000000-400000000000000000000000000000000000
χ484-44-4-44-4444-44-4-4-44-4000000400000000000000000000000000000000000
χ494-44-4-44-44-4-44-4444-4-4000000400000000000000000000000000000000000
χ504-44-4-44-44-4-4-44-44444000000-400000000000000000000000000000000000
χ514-4-444-4-44004-4-400400000000000000000000022−22−2222000000000000000000
χ524-4-444-4-44004-4-4004000000000000000000000−222222−22000000000000000000
χ534-4-444-4-4400-44400-4000000000000000002i2−2i2−2i22i20000000000000000000000
χ544-4-444-4-4400-44400-400000000000000000−2i22i22i2−2i20000000000000000000000
χ554-4-44-444-44-4000-4400000000000000004i−4i00000000000000000000000000
χ564-4-44-444-44-4000-440000000000000000−4i4i00000000000000000000000000
χ574-4-44-444-4-440004-4000000000000004i−4i0000000000000000000000000000
χ584-4-44-444-4-440004-400000000000000−4i4i0000000000000000000000000000
χ598888-8-8-8-8000000000000000000000000000000000000000000000000000

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