Finite Group Databasebeta

← Group #310601

Character table — Group #310601

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-111-1-11111-1
χ71111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111
χ911111111111111111-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-1111111111-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-11-1-1-1-111-1-11
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-1-1-111-1-111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-11111111-1-1-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ17222222222-2-22-2-222-20000-22222222200-2-20000000000-2-20000-200000000000000
χ18222222222-2-22-2-222-20000-22222-2-2-2-200220000000000-2-20000200000000000000
χ19222222222-2-22-2-222-20000-2-2-2-2-222-2-200220000000000220000-200000000000000
χ20222222222-2-22-2-222-20000-2-2-2-2-2-2-22200-2-20000000000220000200000000000000
χ2122222222-222-222-2-2-22222-200000000-2-2002222-2-2000000000000000-2000000000
χ2222222222-222-222-2-2-22222-200000000-2-200-2-2-2-2220000000000000002000000000
χ2322222222-222-222-2-2-2-2-2-2-2-200000000220022-2-222000000000000000-2000000000
χ2422222222-222-222-2-2-2-2-2-2-2-2000000002200-2-222-2-20000000000000002000000000
χ2522-22-2-2-2202-202-200022-2-20i2i2−i2−i2000000002-22-200i2i2−i2−i2i2−i2i2i2−i2−i2000000000000i2−i20
χ2622-22-2-2-2202-202-200022-2-20i2i2−i2−i200000000-22-2200i2i2−i2−i2i2−i2−i2−i2i2i2000000000000−i2i20
χ2722-22-2-2-2202-202-200022-2-20−i2−i2i2i2000000002-22-200−i2−i2i2i2−i2i2−i2−i2i2i2000000000000−i2i20
χ2822-22-2-2-2202-202-200022-2-20−i2−i2i2i200000000-22-2200−i2−i2i2i2−i2i2i2i2−i2−i2000000000000i2−i20
χ2922-22-2-2-2202-202-2000-2-2220i2i2−i2−i2000000002-2-2200−i2−i2i2i2i2−i2−i2−i2i2i2000000000000i2−i20
χ3022-22-2-2-2202-202-2000-2-2220i2i2−i2−i200000000-222-200−i2−i2i2i2i2−i2i2i2−i2−i2000000000000−i2i20
χ3122-22-2-2-2202-202-2000-2-2220−i2−i2i2i2000000002-2-2200i2i2−i2−i2−i2i2i2i2−i2−i2000000000000−i2i20
χ3222-22-2-2-2202-202-2000-2-2220−i2−i2i2i200000000-222-200i2i2−i2−i2−i2i2−i2−i2i2i2000000000000i2−i20
χ332-2-2222-2-2222-2-2-22-2-22i−2i2i−2i20000002i−2i2i−2i2i−2i000000000000000002-2000000000000
χ342-2-2222-2-2222-2-2-22-2-22i−2i2i−2i2000000−2i2i2i−2i−2i2i00000000000000000-22000000000000
χ352-2-2222-2-2222-2-2-22-2-2−2i2i−2i2i20000002i−2i−2i2i2i−2i00000000000000000-22000000000000
χ362-2-2222-2-2222-2-2-22-2-2−2i2i−2i2i2000000−2i2i−2i2i−2i2i000000000000000002-2000000000000
χ372-2-2222-2-22-2-2-2222-220000-20000002i−2i00−2i2i0000002-22-20000000000002i−2i0000000
χ382-2-2222-2-22-2-2-2222-220000-20000002i−2i00−2i2i000000-22-22000000000000−2i2i0000000
χ392-2-2222-2-22-2-2-2222-220000-2000000−2i2i002i−2i0000002-22-2000000000000−2i2i0000000
χ402-2-2222-2-22-2-2-2222-220000-2000000−2i2i002i−2i000000-22-220000000000002i−2i0000000
χ412-2-2222-2-2-2222-2-2-2222i−2i2i−2i-200000000−2i2i0000000000000000000002-2000002i−2i000
χ422-2-2222-2-2-2222-2-2-2222i−2i2i−2i-200000000−2i2i000000000000000000000-2200000−2i2i000
χ432-2-2222-2-2-2222-2-2-222−2i2i−2i2i-2000000002i−2i0000000000000000000002-200000−2i2i000
χ442-2-2222-2-2-2222-2-2-222−2i2i−2i2i-2000000002i−2i000000000000000000000-22000002i−2i000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-4400400-4-40000004-44-4000000000000000000000000000000000000000
χ47444-44-4-4-4400400-4-4000000-44-44000000000000000000000000000000000000000
χ48444-44-4-4-4-400-400440000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ49444-44-4-4-4-400-40044000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-44-4-4-440-440-44000000002i22i2−2i2−2i2000000000000000000−2i22i20000000000000000000
χ5144-44-4-4-440-440-4400000000−2i2−2i22i22i20000000000000000002i2−2i20000000000000000000
χ5244-4-4-444-4000000000000002i2−2i2−2i22i20000000000002i2−2i20000002-2-22000000000000000
χ5344-4-4-444-4000000000000002i2−2i2−2i22i2000000000000−2i22i2000000-222-2000000000000000
χ5444-4-4-444-400000000000000−2i22i22i2−2i20000000000002i2−2i2000000-222-2000000000000000
χ5544-4-4-444-400000000000000−2i22i22i2−2i2000000000000−2i22i20000002-2-22000000000000000
χ564-444-4-44-404-40-440004i−4i−4i4i00000000000000000000000000000000000000000000
χ574-444-4-44-404-40-44000−4i4i4i−4i00000000000000000000000000000000000000000000
χ584-444-4-44-40-4404-4000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ594-444-4-44-40-4404-400000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ604-4-4444-4-4-4-4-4444-44-4000040000000000000000000000000000000000000000000
χ614-4-4-44-444400-400-4400000000004-40000000000000000000000000000000000000
χ624-4-4-44-444400-400-440000000000-440000000000000000000000000000000000000
χ634-4-4-44-444-4004004-400000000000000000000000000000000000000000022−2200000
χ644-4-4-44-444-4004004-4000000000000000000000000000000000000000000−222200000
χ658-88-8-88-88000000000000000000000000000000000000000000000000000000000

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