Finite Group Databasebeta

← Group #338707

Character table — Group #338707

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444488888888888888888888888888881616161616161616323232
order12222222444444444488888888224444444444888888888888888844448888444
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11111-11-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1111
χ51111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11-1-1111111-1
χ9111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-111
χ11111111111111111111-1-1-1-11111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-1-1-111
χ12111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-11-1-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111111111-1-1-1-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-1-1-1111-11
χ17222222222-222-2-2-22-2-20000222200000022-2-2-2-2-2-20000000000000002000000000
χ18222222222-222-2-2-22-2-200002222000000-2-22222-2-2000000000000000-2000000000
χ19222222222-222-2-2-22-2-20000-2-2-2-200000022-2-22222000000000000000-2000000000
χ20222222222-222-2-2-22-2-20000-2-2-2-2000000-2-222-2-2220000000000000002000000000
χ2122222222-22-2-2222-2-2-2222200002222-2-2000000000000-2-200000000-20000000000
χ2222222222-22-2-2222-2-2-222220000-2-2-2-222000000000000-2-20000000020000000000
χ2322222222-22-2-2222-2-2-2-2-2-2-2000022-2-2220000000000002200000000-20000000000
χ2422222222-22-2-2222-2-2-2-2-2-2-20000-2-222-2-2000000000000220000000020000000000
χ25222-2-22-2-22-2-2-22-222-2200000000000000000000002i2i−2i−2i0022-2-20000002i−2i0000000
χ26222-2-22-2-22-2-2-22-222-2200000000000000000000002i2i−2i−2i00-2-222000000−2i2i0000000
χ27222-2-22-2-22-2-2-22-222-220000000000000000000000−2i−2i2i2i0022-2-2000000−2i2i0000000
χ28222-2-22-2-22-2-2-22-222-220000000000000000000000−2i−2i2i2i00-2-2220000002i−2i0000000
χ292-2222-2-2-2-202-200020022−2−222-2-2000000002i−2i2i−2i00i2−i2i2−i22−2000022−2−20000i2−i200000
χ302-2222-2-2-2-202-200020022−2−222-2-200000000−2i2i−2i2i00−i2i2−i2i22−2000022−2−20000−i2i200000
χ312-2222-2-2-2-202-200020022−2−2-2-222000000002i−2i−2i2i00i2−i2i2−i22−20000−2−2220000−i2i200000
χ322-2222-2-2-2-202-200020022−2−2-2-22200000000−2i2i2i−2i00−i2i2−i2i22−20000−2−2220000i2−i200000
χ332-2222-2-2-2-202-2000200−2−22222-2-2000000002i−2i2i−2i00−i2i2−i2i2−220000−2−2220000−i2i200000
χ342-2222-2-2-2-202-2000200−2−22222-2-200000000−2i2i−2i2i00i2−i2i2−i2−220000−2−2220000i2−i200000
χ352-2222-2-2-2-202-2000200−2−222-2-222000000002i−2i−2i2i00−i2i2−i2i2−22000022−2−20000i2−i200000
χ362-2222-2-2-2-202-2000200−2−222-2-22200000000−2i2i2i−2i00i2−i2i2−i2−22000022−2−20000−i2i200000
χ372-2-22-222-20-20022-20002-22-2i2−i2i2−i22-22-200000000i2−i2000000i2−i2i2−i2i2−i2i2−i2000000i2−i2000
χ382-2-22-222-20-20022-20002-22-2i2−i2i2−i2-22-2200000000i2−i2000000−i2i2−i2i2i2−i2i2−i2000000−i2i2000
χ392-2-22-222-20-20022-20002-22-2−i2i2−i2i22-22-200000000−i2i2000000−i2i2−i2i2−i2i2−i2i2000000−i2i2000
χ402-2-22-222-20-20022-20002-22-2−i2i2−i2i2-22-2200000000−i2i2000000i2−i2i2−i2−i2i2−i2i2000000i2−i2000
χ412-2-22-222-20-20022-2000-22-22i2−i2i2−i22-2-2200000000i2−i2000000−i2i2−i2i2−i2i2−i2i2000000i2−i2000
χ422-2-22-222-20-20022-2000-22-22i2−i2i2−i2-222-200000000i2−i2000000i2−i2i2−i2−i2i2−i2i2000000−i2i2000
χ432-2-22-222-20-20022-2000-22-22−i2i2−i2i22-2-2200000000−i2i2000000i2−i2i2−i2i2−i2i2−i2000000−i2i2000
χ442-2-22-222-20-20022-2000-22-22−i2i2−i2i2-222-200000000−i2i2000000−i2i2−i2i2i2−i2i2−i2000000i2−i2000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000
χ46444-4-44-4-444-4-4-44-444-400000000000000000000000000000000000000000000000
χ47444-4-44-4-4-4444-44-4-4-4400000000000000000000000000000000000000000000000
χ48444-4-44-4-4-4-4444-44-44-400000000000000000000000000000000000000000000000
χ4944-44-4-4-44000000000022−22−22222i2−2i2−2i22i20000000000000000000000002i−2i−2i2i00000000000
χ5044-44-4-4-44000000000022−22−2222−2i22i22i2−2i2000000000000000000000000−2i2i2i−2i00000000000
χ5144-44-4-4-440000000000−222222−222i2−2i2−2i22i2000000000000000000000000−2i2i2i−2i00000000000
χ5244-44-4-4-440000000000−222222−22−2i22i22i2−2i20000000000000000000000002i−2i−2i2i00000000000
χ534-4444-4-4-440-44000-4002222−22−220000000000000000000000−22220000000000000000000
χ544-4444-4-4-440-44000-400−22−222222000000000000000000000022−220000000000000000000
χ554-44-4-4-444404-4000-400000000000000004i−4i0000000000000000000000000000000
χ564-44-4-4-444404-4000-40000000000000000−4i4i0000000000000000000000000000000
χ574-44-4-4-444-40-44000400000000000000000000000022−22−2222000000000000000000000
χ584-44-4-4-444-40-440004000000000000000000000000−222222−22000000000000000000000
χ594-4-44-444-40400-4-4400000002i2−2i22i2−2i2000000000000−2i22i20000000000000000000000000
χ604-4-44-444-40400-4-440000000−2i22i2−2i22i20000000000002i2−2i20000000000000000000000000
χ614-4-4-444-4404004-4-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-4-444-4404004-4-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-4-444-440-400-4440000000000000004-4000000000000000000000000000000000
χ644-4-4-444-440-400-444000000000000000-44000000000000000000000000000000000
χ6588-8-88-88-8000000000000000000000000000000000000000000000000000000000

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