Finite Group Databasebeta

← Group #328783

Character table — Group #328783

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444422444444488888888244444448888888824
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-11-1-1-1-111111111111-1-11-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ911111111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-11-1-1111-1-111-1-111-1-11-1
χ1011111111111111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-1-111-11
χ1111111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1-111-11
χ1211111111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-11111-1-11-1
χ1311111111111111111-1-1-1-1-1-11-1-111-111-1-11111-1-1-1-11-1-1-1-1111-1-11111-1-1-11
χ1411111111111111111-1-1-1-1-1-11-1-111-111-1-11111-1-1-1-1-11111-1-1-1-1-111-1-1111-1
χ1511111111111111111-1-1-1-1-1-11-1-111-111-1-1-1-1-1-111111-1-1-1-111111-1-1-1-1111-1
χ1611111111111111111-1-1-1-1-1-11-1-111-111-1-1-1-1-1-11111-11111-1-1-111-1-111-1-1-11
χ1722222222222-2-2-22-2-222-2-222-20000-200000000000022-200-2000000000000
χ1822222222222-2-2-22-2-222-2-222-20000-2000000000000-2-22002000000000000
χ1922222222222-2-2-22-2-2-2-222-2-2-2000020000000000002-2200-2000000000000
χ2022222222222-2-2-22-2-2-2-222-2-2-200002000000000000-22-2002000000000000
χ2122222222-2-2-2222-22-222-2-2-2-2-222222-2-2-2-200000000000000000000000000
χ2222222222-2-2-2222-22-222-2-2-2-2-2-2-2-2-22222200000000000000000000000000
χ2322222222-2-2-2222-22-2-2-22222-222-2-2-222-2-200000000000000000000000000
χ2422222222-2-2-2222-22-2-2-22222-2-2-222-2-2-22200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-220000-20000000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-220000-2000000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2-2-2222000020000000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-22-2-2-2-222200002000000000000000-2202-20000000000
χ292-22-22-22-200022-20-20002-22-20002i−2i0002i−2ii2i2−i2−i2i2i2−i2−i2000000002−22−2000000
χ302-22-22-22-200022-20-20002-22-20002i−2i0002i−2i−i2−i2i2i2−i2−i2i2i200000000−22−22000000
χ312-22-22-22-200022-20-20002-22-2000−2i2i000−2i2ii2i2−i2−i2i2i2−i2−i200000000−22−22000000
χ322-22-22-22-200022-20-20002-22-2000−2i2i000−2i2i−i2−i2i2i2−i2−i2i2i2000000002−22−2000000
χ332-22-22-22-200022-20-2000-22-220002i−2i000−2i2ii2i2−i2−i2−i2−i2i2i200000000−222−2000000
χ342-22-22-22-200022-20-2000-22-220002i−2i000−2i2i−i2−i2i2i2i2i2−i2−i2000000002−2−22000000
χ352-22-22-22-200022-20-2000-22-22000−2i2i0002i−2ii2i2−i2−i2−i2−i2i2i2000000002−2−22000000
χ362-22-22-22-200022-20-2000-22-22000−2i2i0002i−2i−i2−i2i2i2i2i2−i2−i200000000−222−2000000
χ3744-4-444-4-40000000004i−4i000000000000002-22-22i−2i2i−2i000000000000000000
χ3844-4-444-4-40000000004i−4i00000000000000-22-22−2i2i−2i2i000000000000000000
χ3944-4-444-4-4000000000−4i4i000000000000002-22-2−2i2i−2i2i000000000000000000
χ4044-4-444-4-4000000000−4i4i00000000000000-22-222i−2i2i−2i000000000000000000
χ4144-4-4-4-44444-44-44-4-44000000-400000000000000000000000000000000000
χ4244-4-4-4-44444-4-44-4-44-4000000400000000000000000000000000000000000
χ4344-4-4-4-444-4-444-444-4-4000000400000000000000000000000000000000000
χ4444-4-4-4-444-4-44-44-4444000000-400000000000000000000000000000000000
χ454-44-44-44-4000-4-44040004-4-44000000000000000000000000000000000000
χ464-44-44-44-4000-4-4404000-444-4000000000000000000000000000000000000
χ474-44-4-44-444-44000-400000000000000000000000000000000000000002i2−2i200
χ484-44-4-44-444-44000-40000000000000000000000000000000000000000−2i22i200
χ494-44-4-44-44-44-400040000000000000000000000000000000000000022−220000
χ504-44-4-44-44-44-4000400000000000000000000000000000000000000−22220000
χ514-4-444-4-444-4-40004000000000000000000000022−22−2222000000000000000000
χ524-4-444-4-444-4-400040000000000000000000000−222222−22000000000000000000
χ534-4-444-4-44-444000-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ544-4-444-4-44-444000-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ554-4-44-444-40004-4-404000000004-4000000000000000000000000000000000
χ564-4-44-444-40004-4-40400000000-44000000000000000000000000000000000
χ574-4-44-444-4000-4440-400000000000004i−4i0000000000000000000000000000
χ584-4-44-444-4000-4440-40000000000000−4i4i0000000000000000000000000000
χ598888-8-8-8-8000000000000000000000000000000000000000000000000000

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