Finite Group Databasebeta

← Group #339713

Character table — Group #339713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111222222224448888888888888888888888881616161616161616161632323232
order12222244444444444448888888888888888888822448888884488
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1
χ311111111111111111111111-1-1-1-111-1-11111-1-1-1-11-11-1-1-11-1-1-11-11-1
χ411111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-11-11-1-1-11-1-1-11-11
χ51111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-11-1-11
χ61111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11-11-111-11-1-1-111-1
χ71111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ9111111111111111-1-1-1-111-1-111-1-1111111-1-111111-11-11-111-1-1-1-1-11
χ10111111111111111-1-1-1-111-1-111-1-1-1-1-1-111-1-11111-11-111-1-1-1-1-1111-1
χ11111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-111-111-11-1-1
χ12111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-11111-111
χ13111111111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1111
χ14111111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111111-1-11111-1-1-1
χ15111111111111111-1-1-1-1-1-111-1-1111111-1-1111111-11-11-1111-1-1-1-11-1
χ16111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111-11-1-11-1-1-1-111-11
χ17222222-22222-2-2-2-222-2-2000022-2-20000000000000000-2200000000
χ18222222-22222-2-2-2-222-2-20000-2-22200000000000000002-200000000
χ19222222-22222-2-2-2-2-2-222000022220000000000000000-2-200000000
χ20222222-22222-2-2-2-2-2-2220000-2-2-2-200000000000000002200000000
χ212222-2-2222-2-222-2-2000000220000002200-2-200000-202000-2000000
χ222222-2-2222-2-222-2-200000022000000-2-200-2-20000020-20002000000
χ232222-2-2222-2-222-2-2000000-2-20000002200220000020-2000-2000000
χ242222-2-2222-2-222-2-2000000-2-2000000-2-2002200000-2020002000000
χ252222-2-22-2-2222-22-20000220000002200-2-2000000-202000-20000000
χ262222-2-22-2-2222-22-2000022000000-2-200-2-200000020-200020000000
χ272222-2-22-2-2222-22-20000-2-200000022002200000020-2000-20000000
χ282222-2-22-2-2222-22-20000-2-2000000-2-20022000000-20200020000000
χ292-22-22-202-22-20000002-2i2−i2i2−i22i−2i2i−2i0000i2−i2i2−i222−2−2000000002−20000
χ302-22-22-202-22-20000002-2i2−i2i2−i2−2i2i−2i2i0000i2−i2i2−i2−2−22200000000−220000
χ312-22-22-202-22-20000002-2−i2i2−i2i22i−2i2i−2i0000−i2i2−i2i2−2−22200000000−220000
χ322-22-22-202-22-20000002-2−i2i2−i2i2−2i2i−2i2i0000−i2i2−i2i222−2−2000000002−20000
χ332-22-22-202-22-2000000-22i2−i2−i2i22i−2i−2i2i0000i2−i2−i2i222−2−200000000−220000
χ342-22-22-202-22-2000000-22i2−i2−i2i2−2i2i2i−2i0000i2−i2−i2i2−2−222000000002−20000
χ352-22-22-202-22-2000000-22−i2i2i2−i22i−2i−2i2i0000−i2i2i2−i2−2−222000000002−20000
χ362-22-22-202-22-2000000-22−i2i2i2−i2−2i2i2i−2i0000−i2i2i2−i222−2−200000000−220000
χ374444444-4-4-4-44-4-4400000000000000000000000000000000000000
χ38444444-4-4-4-4-4-444-400000000000000000000000000000000000000
χ394444-4-4-444-4-4-4-44400000000000000000000000000000000000000
χ404444-4-4-4-4-444-44-4400000000000000000000000000000000000000
χ414-44-44-40-44-4400004i−4i000000000000000000000000000000000000
χ424-44-44-40-44-440000−4i4i000000000000000000000000000000000000
χ434-44-4-4404-4-4400000000002i2−2i20000000000−2i22i2000000000000000000
χ444-44-4-4404-4-440000000000−2i22i200000000002i2−2i2000000000000000000
χ454-44-4-440-444-4000000002i2−2i20000000000−2i22i200000000000000000000
χ464-44-4-440-444-400000000−2i22i200000000002i2−2i200000000000000000000
χ474-4-440040000-40000000000000002i2−2i22i2−2i200002-22-200000000000000
χ484-4-440040000-40000000000000002i2−2i2−2i22i20000-22-2200000000000000
χ494-4-440040000-4000000000000000−2i22i22i2−2i20000-22-2200000000000000
χ504-4-440040000-4000000000000000−2i22i2−2i22i200002-22-200000000000000
χ5188-8-8000000000000000000000000000000022−22−222200000000000000
χ5288-8-80000000000000000000000000000000−222222−2200000000000000
χ538-8-8800-80000800000000000000000000000000000000000000000

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