Finite Group Databasebeta

← Group #277713

Character table — Group #277713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444444444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-111-1-11-1-1-11-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-111-1-1-11-1-1-11-1-1-1-11111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1111-1-1-1-1-111-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-1-111-1-11-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111
χ81111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11111111-1-111-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-11111111-1-1-1-1-1-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-11-1-1-111-1-11111-11
χ11111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-11-1-111-1-1-1-1-11
χ12111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-1-1-11111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1111-1-1-111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-11-1-11111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111-1-1-1-1-111-1-1-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11-1-11-111111-1-111-1-1-11
χ172222222222-2-22-22-2-2-222220000-2-2-2-200000000000022002200-2000-20000000000000
χ182222222222-2-22-22-2-2-222220000-2-2-2-2000000000000-2-200-2-200200020000000000000
χ192222222222-2-22-22-2-2-2-2-2-2-2000022220000000000002200-2-2002000-20000000000000
χ202222222222-2-22-22-2-2-2-2-2-2-200002222000000000000-2-2002200-200020000000000000
χ2122222222-2-222-22-22-2-2000022220000-2-2-2-200000000002200-2-20002000-20000000000
χ2222222222-2-222-22-22-2-2000022220000-2-2-2-20000000000-2-20022000-200020000000000
χ2322222222-2-222-22-22-2-20000-2-2-2-20000222200000000002200-2-2000-200020000000000
χ2422222222-2-222-22-22-2-20000-2-2-2-2000022220000000000-2-200220002000-20000000000
χ2522-2-22-22-22-200-2020002i2i−2i−2i22−2−2000022−2−2i2i2i2i2−i2−i2−i2−i22i−2i002-20000000000i2−i22−2000000
χ2622-2-22-22-22-200-2020002i2i−2i−2i22−2−2000022−2−2i2i2i2i2−i2−i2−i2−i2−2i2i00-220000000000−i2i2−22000000
χ2722-2-22-22-22-200-2020002i2i−2i−2i−2−2220000−2−222−i2−i2−i2−i2i2i2i2i22i−2i002-20000000000−i2i2−22000000
χ2822-2-22-22-22-200-2020002i2i−2i−2i−2−2220000−2−222−i2−i2−i2−i2i2i2i2i2−2i2i00-220000000000i2−i22−2000000
χ2922-2-22-22-22-200-202000−2i−2i2i2i22−2−2000022−2−2−i2−i2−i2−i2i2i2i2i22i−2i00-220000000000i2−i2−22000000
χ3022-2-22-22-22-200-202000−2i−2i2i2i22−2−2000022−2−2−i2−i2−i2−i2i2i2i2i2−2i2i002-20000000000−i2i22−2000000
χ3122-2-22-22-22-200-202000−2i−2i2i2i−2−2220000−2−222i2i2i2i2−i2−i2−i2−i22i−2i00-220000000000−i2i22−2000000
χ3222-2-22-22-22-200-202000−2i−2i2i2i−2−2220000−2−222i2i2i2i2−i2−i2−i2−i2−2i2i002-20000000000i2−i2−22000000
χ332-2-2-222-2222-2-2-22-222-200000000000000002i2i−2i−2i2i2i−2i−2i002-2002-2000000000000002i−2i00
χ342-2-2-222-2222-2-2-22-222-200000000000000002i2i−2i−2i2i2i−2i−2i00-2200-2200000000000000−2i2i00
χ352-2-2-222-2222-2-2-22-222-20000000000000000−2i−2i2i2i−2i−2i2i2i002-2002-200000000000000−2i2i00
χ362-2-2-222-2222-2-2-22-222-20000000000000000−2i−2i2i2i−2i−2i2i2i00-2200-22000000000000002i−2i00
χ372-2-2-222-22-2-2222-22-22-22-22-2000022-2-20000000000000000000002i−2i002i−2i00000000000
χ382-2-2-222-22-2-2222-22-22-22-22-2000022-2-2000000000000000000000−2i2i00−2i2i00000000000
χ392-2-2-222-22-2-2222-22-22-2-22-220000-2-2220000000000000000000002i−2i00−2i2i00000000000
χ402-2-2-222-22-2-2222-22-22-2-22-220000-2-222000000000000000000000−2i2i002i−2i00000000000
χ412-2-2-222-22-2-2-2-22222-222-22-20000-2-222000000000000002-200-220000000000002-20000
χ422-2-2-222-22-2-2-2-22222-222-22-20000-2-22200000000000000-22002-2000000000000-220000
χ432-2-2-222-22-2-2-2-22222-22-22-22000022-2-2000000000000002-200-22000000000000-220000
χ442-2-2-222-22-2-2-2-22222-22-22-22000022-2-200000000000000-22002-20000000000002-20000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-4-44-4-40000000000000022−2222−2222−2222−2200002-22-22-22-200000000000000000000000000
χ47444-4-44-4-40000000000000022−2222−22−2222−22220000-22-22-22-2200000000000000000000000000
χ48444-4-44-4-400000000000000−2222−222222−2222−220000-22-22-22-2200000000000000000000000000
χ49444-4-44-4-400000000000000−2222−2222−2222−222200002-22-22-22-200000000000000000000000000
χ5044-44-4-4-44004-4040-40000004-4-44000000000000000000000000000000000000000000
χ5144-44-4-4-44004-4040-4000000-444-4000000000000000000000000000000000000000000
χ5244-44-4-4-4400-440-4040000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000
χ5344-44-4-4-4400-440-404000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000
χ5444-4-44-44-4-440040-400000002222−22−220000−22−2222220000000000000000000000000000000000
χ5544-4-44-44-4-440040-40000000−22−22222200002222−22−220000000000000000000000000000000000
χ564-4444-4-4-44-40040-400000000000000000002222−22−22−22−22222200000000000000000000000000
χ574-4444-4-4-44-40040-40000000000000000000−22−2222222222−22−2200000000000000000000000000
χ584-4444-4-4-4-4400-4040004i−4i−4i4i0000000000000000000000000000000000000000000000
χ594-4444-4-4-4-4400-404000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ604-44-4-4-444004-40-40400000000000000000022−22−2222−222222−2200000000000000000000000000
χ614-44-4-4-444004-40-404000000000000000000−222222−2222−22−222200000000000000000000000000
χ624-44-4-4-44400-44040-4000000000000004i−4i4i−4i0000000000000000000000000000000000
χ634-44-4-4-44400-44040-400000000000000−4i4i−4i4i0000000000000000000000000000000000
χ644-4-44-444-400000000000000000022−22−22222i2−2i2−2i22i22i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ654-4-44-444-400000000000000000022−22−2222−2i22i22i2−2i2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ664-4-44-444-4000000000000000000−222222−222i2−2i2−2i22i2−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ674-4-44-444-4000000000000000000−222222−22−2i22i22i2−2i22i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ684-4-4-444-444444-4-4-4-4-4400000000000000000000000000000000000000000000000000

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