Finite Group Databasebeta

← Group #307939

Character table — Group #307939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size111111112222222244444444444444444488888888888888888888888816161616161616161616161632
order12222222444444444444444444888888882244444488888888888888884444444488884
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1111-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111
χ5111111111111111111111-1-1-1-1111111111-1-111-1-11111111111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1
χ6111111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1111
χ7111111111111111111111-1-1-1-11-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ8111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-111111-1-1-1
χ911111111111111111-1-1-1-1111111111111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1
χ1011111111111111111-1-1-1-1111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11
χ1111111111111111111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-11
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-11-111-1-111-1
χ1311111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-11
χ1411111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111-1-1-11111-1
χ1511111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-11111111-1
χ1611111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111111111-1-11111-1-1-1-1-1-11
χ172222222222-22-2-2-22-222220000-20000222200-2-20022-2-2000000000000000000-200000000
χ182222222222-22-2-2-22-222220000-20000-2-2-2-200-2-200-2-222000000000000000000200000000
χ192222222222-22-2-2-22-2-2-2-2-20000-200002222002200-2-2-2-2000000000000000000200000000
χ202222222222-22-2-2-22-2-2-2-2-20000-20000-2-2-2-20022002222000000000000000000-200000000
χ2122222222-2-22-2222-2-200002222-222220000-2-2002200000000-2-20000000000000-20000000
χ2222222222-2-22-2222-2-200002222-2-2-2-2-20000-2-200-2-20000000022000000000000020000000
χ2322222222-2-22-2222-2-20000-2-2-2-2-2222200002200-2-200000000-2-2000000000000020000000
χ2422222222-2-22-2222-2-20000-2-2-2-2-2-2-2-2-2000022002200000000220000000000000-20000000
χ2522-222-2-2-2222-2-22-2-22000022-2-2-2000000002-20000000022-2-200000000002-200000000000
χ2622-222-2-2-2222-2-22-2-22000022-2-2-2000000002-200000000-2-2220000000000-2200000000000
χ2722-222-2-2-2222-2-22-2-220000-2-222-200000000-220000000022-2-20000000000-2200000000000
χ2822-222-2-2-2222-2-22-2-220000-2-222-200000000-2200000000-2-22200000000002-200000000000
χ2922-222-2-2-2-2-222-22-22-22i2i−2i−2i22-2-2200000000-222i−2i00000000000000000000002i−2i000000000
χ3022-222-2-2-2-2-222-22-22-22i2i−2i−2i-2-2222000000002-22i−2i0000000000000000000000−2i2i000000000
χ3122-222-2-2-2-2-222-22-22-2−2i−2i2i2i22-2-2200000000-22−2i2i0000000000000000000000−2i2i000000000
χ3222-222-2-2-2-2-222-22-22-2−2i−2i2i2i-2-2222000000002-2−2i2i00000000000000000000002i−2i000000000
χ3322-222-2-2-2-2-2-222-22222i2i−2i−2i0000-20000000000−2i2i00000000000022-2-200000000002i−2i00000
χ3422-222-2-2-2-2-2-222-22222i2i−2i−2i0000-20000000000−2i2i000000000000-2-2220000000000−2i2i00000
χ3522-222-2-2-2-2-2-222-2222−2i−2i2i2i0000-200000000002i−2i00000000000022-2-20000000000−2i2i00000
χ3622-222-2-2-2-2-2-222-2222−2i−2i2i2i0000-200000000002i−2i000000000000-2-22200000000002i−2i00000
χ372-22-22-22-20020-2-220000002i−2i2i−2i02i2i−2i−2ii2i2−i2−i200002-200i2−i20000002−22−222−2−20000000000i2−i20
χ382-22-22-22-20020-2-220000002i−2i2i−2i02i2i−2i−2i−i2−i2i2i200002-200−i2i2000000−22−22−2−2220000000000−i2i20
χ392-22-22-22-20020-2-220000002i−2i2i−2i0−2i−2i2i2ii2i2−i2−i20000-2200i2−i20000002−22−2−2−2220000000000−i2i20
χ402-22-22-22-20020-2-220000002i−2i2i−2i0−2i−2i2i2i−i2−i2i2i20000-2200−i2i2000000−22−2222−2−20000000000i2−i20
χ412-22-22-22-20020-2-22000000−2i2i−2i2i02i2i−2i−2ii2i2−i2−i20000-2200i2−i2000000−22−2222−2−20000000000−i2i20
χ422-22-22-22-20020-2-22000000−2i2i−2i2i02i2i−2i−2i−i2−i2i2i20000-2200−i2i20000002−22−2−2−2220000000000i2−i20
χ432-22-22-22-20020-2-22000000−2i2i−2i2i0−2i−2i2i2ii2i2−i2−i200002-200i2−i2000000−22−22−2−2220000000000i2−i20
χ442-22-22-22-20020-2-22000000−2i2i−2i2i0−2i−2i2i2i−i2−i2i2i200002-200−i2i20000002−22−222−2−20000000000−i2i20
χ452-2-22-2-2222-202000-202i−2i2i−2i000002−22−22i−2i2i−2i0000002-200i2−i2i2−i22−20000i2−i2i2−i2000000002−2000
χ462-2-22-2-2222-202000-202i−2i2i−2i000002−22−2−2i2i−2i2i000000-2200i2−i2i2−i22−20000−i2i2−i2i200000000−22000
χ472-2-22-2-2222-202000-202i−2i2i−2i00000−22−222i−2i2i−2i0000002-200−i2i2−i2i2−220000−i2i2−i2i200000000−22000
χ482-2-22-2-2222-202000-202i−2i2i−2i00000−22−22−2i2i−2i2i000000-2200−i2i2−i2i2−220000i2−i2i2−i2000000002−2000
χ492-2-22-2-2222-202000-20−2i2i−2i2i000002−22−22i−2i2i−2i000000-2200−i2i2−i2i22−20000i2−i2i2−i200000000−22000
χ502-2-22-2-2222-202000-20−2i2i−2i2i000002−22−2−2i2i−2i2i0000002-200−i2i2−i2i22−20000−i2i2−i2i2000000002−2000
χ512-2-22-2-2222-202000-20−2i2i−2i2i00000−22−222i−2i2i−2i000000-2200i2−i2i2−i2−220000−i2i2−i2i2000000002−2000
χ522-2-22-2-2222-202000-20−2i2i−2i2i00000−22−22−2i2i−2i2i0000002-200i2−i2i2−i2−220000i2−i2i2−i200000000−22000
χ5344444444-4-4-4-4-4-4-4-44000000004000000000000000000000000000000000000000000000
χ5444-444-4-4-444-4-44-44-4-4000000004000000000000000000000000000000000000000000000
χ5544-4-4-444-40000000000000000002i2−2i2−2i22i222−22−222200000000000000000000−2i2i2i−2i0000000000000
χ5644-4-4-444-40000000000000000002i2−2i2−2i22i2−222222−22000000000000000000002i−2i−2i2i0000000000000
χ5744-4-4-444-4000000000000000000−2i22i22i2−2i222−22−2222000000000000000000002i−2i−2i2i0000000000000
χ5844-4-4-444-4000000000000000000−2i22i22i2−2i2−222222−2200000000000000000000−2i2i2i−2i0000000000000
χ594-444-44-4-44-40-4000400000000000000000000000000002i2−2i2−2i22i200000000000000000000000
χ604-444-44-4-44-40-400040000000000000000000000000000−2i22i22i2−2i200000000000000000000000
χ614-444-44-4-4-4404000-404-4-4400000000000000000000000000000000000000000000000000
χ624-444-44-4-4-4404000-40-444-400000000000000000000000000000000000000000000000000
χ634-44-44-44-400-4044-40000000000000002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ644-44-44-44-400-4044-4000000000000000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ654-4-44-4-444-440-40004000000000022−2222−22000000000000000000−2222000000000000000000000
χ664-4-44-4-444-440-400040000000000−2222−222200000000000000000022−22000000000000000000000
χ674-4-4-444-4400404-4-40000004i−4i−4i4i0000000000000000000000000000000000000000000000
χ684-4-4-444-4400404-4-4000000−4i4i4i−4i0000000000000000000000000000000000000000000000
χ694-4-4-444-4400-40-4440000000000000000000000000000000000022−22−222200000000000000000
χ704-4-4-444-4400-40-44400000000000000000000000000000000000−222222−2200000000000000000
χ71888-8-8-8-88000000000000000000000000000000000000000000000000000000000000000

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