Finite Group Databasebeta

← Group #278397

Character table — Group #278397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222222222244444444444448888888888888888888888888816161616161632323232
order12222244444488882244444888888444444888888888888888888888888882488
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-11-1-111111111-11111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111-1-11-1-111111111-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ9111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1-1-11-111-1-11-11-1
χ10111111111111-1-1-1-11111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-111-11-11
χ11111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-1111111-1-111111-111-1-1-11-11
χ12111111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-1-11111-1-1111111-11-1-1111-11-1
χ13111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-11111-111-1-1-1-111-1-1-1-111-1-111111-1-1-1111-1-11
χ14111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-11111-111-1-1-1-111-1-1-1-1-1-1111111-1111-1-1-111-1
χ15111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11-1-1-111-111-1
χ16111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1111-1-11-1-11
χ172222222-2-2-2-22222200-2002-222-2-2-2-200000000000000000000000000002i−2i2i−2i0000
χ182222222-2-2-2-22222200-2002-222-2-2-2-20000000000000000000000000000−2i2i−2i2i0000
χ192222222-2-2-2-22-2-2-2-200-2002-2-2-2222200000000000000000000000000002i−2i−2i2i0000
χ202222222-2-2-2-22-2-2-2-200-2002-2-2-222220000000000000000000000000000−2i2i2i−2i0000
χ21222222-22222-2000022-222-2-2000000-222-2-2-20022-2-2000000000000000000000000
χ22222222-22222-2000022-222-2-2000000-2-2-222-200-2-222000000000000000000000000
χ23222222-22222-20000-2-2-2-2-2-2-2000000222-2-2200-2-222000000000000000000000000
χ24222222-22222-20000-2-2-2-2-2-2-20000002-2-22220022-2-2000000000000000000000000
χ252222-2-2222-2-22222222-2-2-2-22-2-222-2-2-200002220000-2-20000000000000000000000
χ262222-2-2222-2-222222-2-2-222-22-2-222-2-220000-2-2-20000220000000000000000000000
χ272222-2-2222-2-22-2-2-2-222-2-2-2-2222-2-222-200002-2-20000220000000000000000000000
χ282222-2-2222-2-22-2-2-2-2-2-2-222-2222-2-22220000-2220000-2-20000000000000000000000
χ292222-2-22-2-2222222200200-2-2-2-2-2-22200000000000000000022220000-2-200000000
χ302222-2-22-2-2222222200200-2-2-2-2-2-222000000000000000000-2-2-2-200002200000000
χ312222-2-22-2-2222-2-2-2-200200-2-22222-2-200000000000000000022-2-20000-2200000000
χ322222-2-22-2-2222-2-2-2-200200-2-22222-2-2000000000000000000-2-22200002-200000000
χ332222-2-2-222-2-2-20000222-2-22-200000020000-2000000002i2i−2i−2i00002i2i−2i−2i0000000000
χ342222-2-2-222-2-2-20000222-2-22-200000020000-200000000−2i−2i2i2i0000−2i−2i2i2i0000000000
χ352222-2-2-222-2-2-20000-2-22222-2000000-200002000000002i2i−2i−2i0000−2i−2i2i2i0000000000
χ362222-2-2-222-2-2-20000-2-22222-2000000-20000200000000−2i−2i2i2i00002i2i−2i−2i0000000000
χ3722-2-22-202-22-20i2i2−i2−i22-202-200i2−i2i2−i2i2−i20002i−2i0i2−i2002i−2ii2−i22−22−200002−22−20000000000
χ3822-2-22-202-22-20i2i2−i2−i22-202-200i2−i2i2−i2i2−i2000−2i2i0i2−i200−2i2ii2−i2−22−220000−22−220000000000
χ3922-2-22-202-22-20i2i2−i2−i2-220-2200i2−i2i2−i2i2−i20002i−2i0−i2i200−2i2i−i2i22−22−20000−22−220000000000
χ4022-2-22-202-22-20i2i2−i2−i2-220-2200i2−i2i2−i2i2−i2000−2i2i0−i2i2002i−2i−i2i2−22−2200002−22−20000000000
χ4122-2-22-202-22-20−i2−i2i2i22-202-200−i2i2−i2i2−i2i20002i−2i0−i2i2002i−2i−i2i2−22−220000−22−220000000000
χ4222-2-22-202-22-20−i2−i2i2i22-202-200−i2i2−i2i2−i2i2000−2i2i0−i2i200−2i2i−i2i22−22−200002−22−20000000000
χ4322-2-22-202-22-20−i2−i2i2i2-220-2200−i2i2−i2i2−i2i20002i−2i0i2−i200−2i2ii2−i2−22−2200002−22−20000000000
χ4422-2-22-202-22-20−i2−i2i2i2-220-2200−i2i2−i2i2−i2i2000−2i2i0i2−i2002i−2ii2−i22−22−20000−22−220000000000
χ4522-2-2-2202-2-220i2i2−i2−i22-20-2200−i2i2i2−i2−i2i202-2000i2−i22-200−i2i2i2−i2−i2i20000i2−i2−i2i20000000000
χ4622-2-2-2202-2-220i2i2−i2−i22-20-2200−i2i2i2−i2−i2i20-22000i2−i2-2200−i2i2−i2i2i2−i20000−i2i2i2−i20000000000
χ4722-2-2-2202-2-220i2i2−i2−i2-2202-200−i2i2i2−i2−i2i202-2000−i2i2-2200i2−i2i2−i2−i2i20000−i2i2i2−i20000000000
χ4822-2-2-2202-2-220i2i2−i2−i2-2202-200−i2i2i2−i2−i2i20-22000−i2i22-200i2−i2−i2i2i2−i20000i2−i2−i2i20000000000
χ4922-2-2-2202-2-220−i2−i2i2i22-20-2200i2−i2−i2i2i2−i202-2000−i2i22-200i2−i2−i2i2i2−i20000−i2i2i2−i20000000000
χ5022-2-2-2202-2-220−i2−i2i2i22-20-2200i2−i2−i2i2i2−i20-22000−i2i2-2200i2−i2i2−i2−i2i20000i2−i2−i2i20000000000
χ5122-2-2-2202-2-220−i2−i2i2i2-2202-200i2−i2−i2i2i2−i202-2000i2−i2-2200−i2i2−i2i2i2−i20000i2−i2−i2i20000000000
χ5222-2-2-2202-2-220−i2−i2i2i2-2202-200i2−i2−i2i2i2−i20-22000i2−i22-200−i2i2i2−i2−i2i20000−i2i2i2−i20000000000
χ53444444-4-4-4-4-4-4000000400-44000000000000000000000000000000000000000000
χ544444-4-4-4-4-444-4000000-40044000000000000000000000000000000000000000000
χ5544-4-44-40-44-4402i22i2−2i2−2i200000002i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000
χ5644-4-44-40-44-440−2i2−2i22i22i20000000−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000
χ5744-4-4-440-444-402i22i2−2i2−2i20000000−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000
χ5844-4-4-440-444-40−2i2−2i22i22i200000002i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000
χ594-4-440040000-44-44-400000000000000000000000000000002i2−2i22i2−2i200000000000000
χ604-4-440040000-44-44-40000000000000000000000000000000−2i22i2−2i22i200000000000000
χ614-4-440040000-4-44-4400000000000000000000000000000002i2−2i2−2i22i200000000000000
χ624-4-440040000-4-44-440000000000000000000000000000000−2i22i22i2−2i200000000000000
χ638-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000000
χ648-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000000
χ658-8-8800-80000800000000000000000000000000000000000000000000000000000

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