Finite Group Databasebeta

← Group #337342

Character table — Group #337342

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-111-1-1-11-1-1-1-1-1-111-1
χ4111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-111111-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-1111-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11-11
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-11111-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1111-1-1111-1-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1111-1-1-111-1-11-1-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-111-1-1111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-11-1-11111-11-1
χ17222222222-2-222-22-2-2-200002222-2-2000022-2-2000000000000-20000000000
χ18222222222-2-222-22-2-2-2000022-2-2-2-20000-2-22200000000000020000000000
χ19222222222-2-222-22-2-2-20000-2-222220000-2-222000000000000-20000000000
χ20222222222-2-222-22-2-2-20000-2-2-2-222000022-2-200000000000020000000000
χ2122222222-222-2-22-22-2-2222200000022-2-2000000000000-2-20002000000000
χ2222222222-222-2-22-22-2-22222000000-2-2-2-200000000000022000-2000000000
χ2322222222-222-2-22-22-2-2-2-2-2-20000002222000000000000-22000-2000000000
χ2422222222-222-2-22-22-2-2-2-2-2-2000000-2-2220000000000002-20002000000000
χ252222-2-2-2-22002-20-200022−2−22-22-200002−22-20022−2−222−2−200000000002−2000
χ262222-2-2-2-22002-20-200022−2−22-2-2200002−2-220022−2−2−2−2220000000000−22000
χ272222-2-2-2-22002-20-200022−2−2-222-200002−2-2200−2−222−2−22200000000002−2000
χ282222-2-2-2-22002-20-200022−2−2-22-2200002−22-200−2−22222−2−20000000000−22000
χ292222-2-2-2-22002-20-2000−2−2222-22-20000−222-200−2−222−2−2220000000000−22000
χ302222-2-2-2-22002-20-2000−2−2222-2-220000−22-2200−2−22222−2−200000000002−2000
χ312222-2-2-2-22002-20-2000−2−222-222-20000−22-220022−2−222−2−20000000000−22000
χ322222-2-2-2-22002-20-2000−2−222-22-220000−222-20022−2−2−2−22200000000002−2000
χ332-22-22-22-2-2-2-2222-222-20000000000000000002-22-20000002i−2i00002i−2i00000
χ342-22-22-22-2-2-2-2222-222-20000000000000000002-22-2000000−2i2i0000−2i2i00000
χ352-22-22-22-2-2-2-2222-222-2000000000000000000-22-220000002i−2i0000−2i2i00000
χ362-22-22-22-2-2-2-2222-222-2000000000000000000-22-22000000−2i2i00002i−2i00000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-4-400-44040002222−22−2200000000−2222000000000000000000000000000
χ394444-4-4-4-4-400-4404000−22−2222220000000022−22000000000000000000000000000
χ4044-4-444-4-404-40040-4000000000000000000000000000000000022−220000000
χ4144-4-444-4-404-40040-40000000000000000000000000000000000−22220000000
χ4244-4-444-4-40-4400-4040000000000004i−4i00000000000000000000000000000
χ4344-4-444-4-40-4400-404000000000000−4i4i00000000000000000000000000000
χ444-44-44-44-4444-4-4-44-44-400000000000000000000000000000000000000000
χ454-44-44-44-44-4-4-4-4444-4400000000000000000000000000000000000000000
χ464-44-44-44-4-44444-4-4-4-4400000000000000000000000000000000000000000
χ474-44-4-44-44400-440-4000000000004i−4i0000000000000000000000000000000
χ484-44-4-44-44400-440-400000000000−4i4i0000000000000000000000000000000
χ494-44-4-44-44-4004-40400000000000000000000022−22−22220000000000000000000
χ504-44-4-44-44-4004-404000000000000000000000−222222−220000000000000000000
χ514-4-444-4-4404-400-40400000000000000000000000022−2222−22000000000000000
χ524-4-444-4-4404-400-404000000000000000000000000−2222−2222000000000000000
χ534-4-444-4-440-440040-4004i−4i4i−4i0000000000000000000000000000000000000
χ544-4-444-4-440-440040-400−4i4i−4i4i0000000000000000000000000000000000000
χ554-4-44-444-400000000002i2−2i2−2i22i20000000000002i2−2i200002-2-22000000000000000
χ564-4-44-444-400000000002i2−2i2−2i22i2000000000000−2i22i20000-222-2000000000000000
χ574-4-44-444-40000000000−2i22i22i2−2i20000000000002i2−2i20000-222-2000000000000000
χ584-4-44-444-40000000000−2i22i22i2−2i2000000000000−2i22i200002-2-22000000000000000
χ5988-8-8-8-888000000000000000000000000000000000000000000000000000

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