Finite Group Databasebeta

← Group #329367

Character table — Group #329367

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888444444448888888844
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
χ5111111111111111111111111-1-1-1-1-1-11-1-111111111111-1-11-1-11111-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ91111111111111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11-1
χ101111111111111111-1-11-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-11
χ111111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-111-11
χ121111111111111111-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111-1
χ131111111111111111-1-11-1-1-1-11-1-1-1-111-1111111-1-1-1-111-111-1-1-111-1-1-1-111-11
χ141111111111111111-1-11-1-1-1-11-1-1-1-111-1111111-1-1-1-1-1-11-1-1111-1-111-1-1111-1
χ151111111111111111-1-11-1-1-1-11-1-1-1-111-111-1-1-1-1111111-111-1-1-1-1-11111-1-11-1
χ161111111111111111-1-11-1-1-1-11-1-1-1-111-111-1-1-1-11111-1-11-1-111111-1-111-1-1-11
χ172222222222-2-2-222-222-222-2-2-222-2-222-2-2-200000000000000000000000000
χ182222222222-2-2-222-222-222-2-2-2-2-222-2-2-22200000000000000000000000000
χ192222222222-2-2-222-2-2-2-2-2-222-222-2-2-2-222200000000000000000000000000
χ202222222222-2-2-222-2-2-2-2-2-222-2-2-222222-2-200000000000000000000000000
χ2122222222-2-2222-2-2222-2-2-222-2000000-200000000002-2200-2000000000000
χ2222222222-2-2222-2-2222-2-2-222-2000000-20000000000-22-2002000000000000
χ2322222222-2-2222-2-22-2-2-222-2-2-2000000200000000002-2-2002000000000000
χ2422222222-2-2222-2-22-2-2-222-2-2-200000020000000000-22200-2000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2-2-22000000200000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-2-2-2200000020000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222000000-200000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000-2202-20000000000
χ292-22-22-2-222-20002-202i−2i02i−2i000002i−2i0002-2i2i2−i2−i222−2−20000000000002−2i2−i200
χ302-22-22-2-222-20002-202i−2i02i−2i000002i−2i0002-2−i2−i2i2i2−2−222000000000000−22−i2i200
χ312-22-22-2-222-20002-202i−2i02i−2i00000−2i2i000-22i2i2−i2−i222−2−2000000000000−22−i2i200
χ322-22-22-2-222-20002-202i−2i02i−2i00000−2i2i000-22−i2−i2i2i2−2−2220000000000002−2i2−i200
χ332-22-22-2-222-20002-20−2i2i0−2i2i000002i−2i000-22i2i2−i2−i2−2−2220000000000002−2−i2i200
χ342-22-22-2-222-20002-20−2i2i0−2i2i000002i−2i000-22−i2−i2i2i222−2−2000000000000−22i2−i200
χ352-22-22-2-222-20002-20−2i2i0−2i2i00000−2i2i0002-2i2i2−i2−i2−2−222000000000000−22i2−i200
χ362-22-22-2-222-20002-20−2i2i0−2i2i00000−2i2i0002-2−i2−i2i2i222−2−20000000000002−2−i2i200
χ37444-4-44-4-44-4000-4400000000000004-400000000000000000000000000000
χ38444-4-44-4-44-4000-440000000000000-4400000000000000000000000000000
χ39444-4-44-4-4-440004-40000000004-4000000000000000000000000000000000
χ40444-4-44-4-4-440004-4000000000-44000000000000000000000000000000000
χ4144-4-44-44-40044-400-40000000000000000022−2222−220000000000000000000000
χ4244-4-44-44-40044-400-400000000000000000−2222−22220000000000000000000000
χ4344-4-44-44-400-4-440040000000000000000000002i2−2i22i2−2i2000000000000000000
χ4444-4-44-44-400-4-44004000000000000000000000−2i22i2−2i22i2000000000000000000
χ454-444-4-44-4444-44-4-4-400-40000400000000000000000000000000000000000
χ464-444-4-44-444-44-4-4-440040000-400000000000000000000000000000000000
χ474-444-4-44-4-4-44-4444-40040000-400000000000000000000000000000000000
χ484-444-4-44-4-4-4-44-444400-40000400000000000000000000000000000000000
χ494-44-44-4-44-44000-4404i−4i0−4i4i00000000000000000000000000000000000000
χ504-44-44-4-44-44000-440−4i4i04i−4i00000000000000000000000000000000000000
χ514-4-4444-4-400000000000004-400000000002i−2i−2i2i2i−2i−2i2i000000000000000000
χ524-4-4444-4-400000000000004-40000000000−2i2i2i−2i−2i2i2i−2i000000000000000000
χ534-4-4444-4-40000000000000-4400000000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ544-4-4444-4-40000000000000-440000000000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ554-4-4-4-4444004-4-40040000000000000000000000000000000000022−22000000
χ564-4-4-4-4444004-4-400400000000000000000000000000000000000−2222000000
χ574-4-4-4-444400-44400-40000000000000000000000000000000002i2−2i200000000
χ584-4-4-4-444400-44400-4000000000000000000000000000000000−2i22i200000000
χ5988-88-8-8-88000000000000000000000000000000000000000000000000000

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