Finite Group Databasebeta

← Group #310630

Character table — Group #310630

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888224444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11111111111111111-1-11-1-1-1-1-1-1-1-1-111-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111111-1-11111-1
χ71111111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-1-1
χ81111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1111-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-1111111-1-11111-1-1-1-1111111-1-1-1-1-11-1-11111-1-1-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111111-1-11-1-1-1-111-1-11
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-111111-1-111-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1111-11111-1-1-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111
χ17222222222-2-22-2-222-20000-22222002222-2-20000000000-2-2000000000-2000000000
χ18222222222-2-22-2-222-20000-2222200-2-2-2-2220000000000-2-20000000002000000000
χ19222222222-2-22-2-222-20000-2-2-2-2-20022-2-222000000000022000000000-2000000000
χ20222222222-2-22-2-222-20000-2-2-2-2-200-2-222-2-20000000000220000000002000000000
χ2122222222-222-222-2-2-22222-20000-2-20000002222-2-2000000000000-2000000000000
χ2222222222-222-222-2-2-22222-20000-2-2000000-2-2-2-2220000000000002000000000000
χ2322222222-222-222-2-2-2-2-2-2-2-200002200000022-2-222000000000000-2000000000000
χ2422222222-222-222-2-2-2-2-2-2-2-2000022000000-2-222-2-20000000000002000000000000
χ252-22-2-22-22222-2-2-22-2-22i2i−2i−2i200002i−2i002i−2i2i−2i00000000000000002-20000000000000
χ262-22-2-22-22222-2-2-22-2-22i2i−2i−2i200002i−2i00−2i2i−2i2i0000000000000000-220000000000000
χ272-22-2-22-22222-2-2-22-2-2−2i−2i2i2i20000−2i2i002i−2i2i−2i0000000000000000-220000000000000
χ282-22-2-22-22222-2-2-22-2-2−2i−2i2i2i20000−2i2i00−2i2i−2i2i00000000000000002-20000000000000
χ292-22-2-22-222-2-2-2222-220000-2000000002i−2i−2i2i00000022-2-20000000002i−2i0000000000
χ302-22-2-22-222-2-2-2222-220000-2000000002i−2i−2i2i000000-2-222000000000−2i2i0000000000
χ312-22-2-22-222-2-2-2222-220000-200000000−2i2i2i−2i00000022-2-2000000000−2i2i0000000000
χ322-22-2-22-222-2-2-2222-220000-200000000−2i2i2i−2i000000-2-2220000000002i−2i0000000000
χ332-22-2-22-22-2222-2-2-2222i2i−2i−2i-20000−2i2i00000000000000000000000000002-2002i−2i000
χ342-22-2-22-22-2222-2-2-2222i2i−2i−2i-20000−2i2i0000000000000000000000000000-2200−2i2i000
χ352-22-2-22-22-2222-2-2-222−2i−2i2i2i-200002i−2i00000000000000000000000000002-200−2i2i000
χ362-22-2-22-22-2222-2-2-222−2i−2i2i2i-200002i−2i0000000000000000000000000000-22002i−2i000
χ372-2-2222-2-202-202-20002-22-20i2i2−i2−i2000000002i−2i2i−2i00i2−i2i2−i2i2−i222−2−20000000000002−20
χ382-2-2222-2-202-202-20002-22-20i2i2−i2−i200000000−2i2i−2i2i00i2−i2i2−i2i2−i2−2−222000000000000−220
χ392-2-2222-2-202-202-20002-22-20−i2−i2i2i2000000002i−2i2i−2i00−i2i2−i2i2−i2i2−2−222000000000000−220
χ402-2-2222-2-202-202-20002-22-20−i2−i2i2i200000000−2i2i−2i2i00−i2i2−i2i2−i2i222−2−20000000000002−20
χ412-2-2222-2-202-202-2000-22-220i2i2−i2−i2000000002i−2i−2i2i00−i2i2−i2i2i2−i2−2−2220000000000002−20
χ422-2-2222-2-202-202-2000-22-220i2i2−i2−i200000000−2i2i2i−2i00−i2i2−i2i2i2−i222−2−2000000000000−220
χ432-2-2222-2-202-202-2000-22-220−i2−i2i2i2000000002i−2i−2i2i00i2−i2i2−i2−i2i222−2−2000000000000−220
χ442-2-2222-2-202-202-2000-22-220−i2−i2i2i200000000−2i2i2i−2i00i2−i2i2−i2−i2i2−2−2220000000000002−20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ4644-44-4-4-44400-400-440000004i−4i4i−4i000000000000000000000000000000000000000
χ4744-44-4-4-44400-400-44000000−4i4i−4i4i000000000000000000000000000000000000000
χ4844-44-4-4-44-4004004-40000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ4944-44-4-4-44-4004004-4000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5044-4-4-444-404-40-440004i−4i−4i4i00000000000000000000000000000000000000000000
χ5144-4-4-444-404-40-44000−4i4i4i−4i00000000000000000000000000000000000000000000
χ5244-4-4-444-40-4404-4000000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5344-4-4-444-40-4404-400000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ544-444-4-44-40000000000000022−22−22220000000000002i2−2i20000002i−2i−2i2i000000000000000
χ554-444-4-44-40000000000000022−22−2222000000000000−2i22i2000000−2i2i2i−2i000000000000000
χ564-444-4-44-400000000000000−222222−220000000000002i2−2i2000000−2i2i2i−2i000000000000000
χ574-444-4-44-400000000000000−222222−22000000000000−2i22i20000002i−2i−2i2i000000000000000
χ584-44-4-44-44-4-4-4444-44-4000040000000000000000000000000000000000000000000
χ594-4-4444-4-40-440-44000000002i22i2−2i2−2i2000000000000000000−2i22i20000000000000000000
χ604-4-4444-4-40-440-4400000000−2i2−2i22i22i20000000000000000002i2−2i20000000000000000000
χ614-4-4-44-444400400-4-40000000000004i−4i00000000000000000000000000000000000
χ624-4-4-44-444400400-4-4000000000000−4i4i00000000000000000000000000000000000
χ634-4-4-44-444-400-4004400000000000000000000000000000000000000000022−2200000
χ644-4-4-44-444-400-40044000000000000000000000000000000000000000000−222200000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

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