Finite Group Databasebeta

← Group #336222

Character table — Group #336222

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-111111111-1
χ51111111111111111111111-1-1111111-1-1111111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111-1
χ61111111111111111111111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111111-11-1-11111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11-1111-111-1-1-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-11-1-1-1-1111-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111111-1111-1-1-1-1-1111-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1111-1-1-1-1-111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11111-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-111111-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-11111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1111-11-1-11111-11-1
χ17222222222-2-2222-2-2-2-200002222-2-20022000000-2-20000-200000000000000
χ18222222222-2-2222-2-2-2-2000022-2-22200-2-2000000220000-200000000000000
χ19222222222-2-2222-2-2-2-20000-2-222-2-200-2-2000000220000200000000000000
χ20222222222-2-2222-2-2-2-20000-2-2-2-2220022000000-2-20000200000000000000
χ2122222222-222-2-2-222-2-222220000002200-2-200000000000-200-22000000000
χ2222222222-222-2-2-222-2-22222000000-2-200-2-2000000000002002-2000000000
χ2322222222-222-2-2-222-2-2-2-2-2-200000022002200000000000200-2-2000000000
χ2422222222-222-2-2-222-2-2-2-2-2-2000000-2-2002200000000000-20022000000000
χ252222-2-2-2-22002-2-2000022−2−22-22-200002-22−222−2−20022−2−2000000002−200000
χ262222-2-2-2-22002-2-2000022−2−22-2-220000-222−2−2−22200−2−222000000002−200000
χ272222-2-2-2-22002-2-2000022−2−2-222-20000-222−222−2−200−2−22200000000−2200000
χ282222-2-2-2-22002-2-2000022−2−2-22-2200002-22−2−2−2220022−2−200000000−2200000
χ292222-2-2-2-22002-2-20000−2−2222-22-200002-2−22−2−22200−2−22200000000−2200000
χ302222-2-2-2-22002-2-20000−2−2222-2-220000-22−2222−2−20022−2−200000000−2200000
χ312222-2-2-2-22002-2-20000−2−222-222-20000-22−22−2−2220022−2−2000000002−200000
χ322222-2-2-2-22002-2-20000−2−222-22-2200002-2−2222−2−200−2−222000000002−200000
χ332-2-22-22-22-2222-22-2-2-2200000000000000002i−2i2i−2i000000002i−2i0000002-2000
χ342-2-22-22-22-2222-22-2-2-2200000000000000002i−2i2i−2i00000000−2i2i000000-22000
χ352-2-22-22-22-2222-22-2-2-220000000000000000−2i2i−2i2i000000002i−2i000000-22000
χ362-2-22-22-22-2222-22-2-2-220000000000000000−2i2i−2i2i00000000−2i2i0000002-2000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-4-400-44400002222−22−220000000000−22220000000000000000000000000
χ394444-4-4-4-4-400-4440000−22−222222000000000022−220000000000000000000000000
χ4044-4-4-4-44404-40004-400000000000000000000000000000000002i2−2i20000000
χ4144-4-4-4-44404-40004-40000000000000000000000000000000000−2i22i20000000
χ4244-4-4-4-4440-44000-440000000000004i−4i00000000000000000000000000000
χ4344-4-4-4-4440-44000-44000000000000−4i4i00000000000000000000000000000
χ444-44-44-4-4404-4000-44004i−4i4i−4i0000000000000000000000000000000000000
χ454-44-44-4-4404-4000-4400−4i4i−4i4i0000000000000000000000000000000000000
χ464-44-44-4-440-440004-40000000000000000000000002i2−2i22i2−2i2000000000000000
χ474-44-44-4-440-440004-4000000000000000000000000−2i22i2−2i22i2000000000000000
χ484-44-4-444-400000000002i2−2i2−2i22i2000000000000000022−222i−2i−2i2i000000000000000
χ494-44-4-444-400000000002i2−2i2−2i22i20000000000000000−2222−2i2i2i−2i000000000000000
χ504-44-4-444-40000000000−2i22i22i2−2i2000000000000000022−22−2i2i2i−2i000000000000000
χ514-44-4-444-40000000000−2i22i22i2−2i20000000000000000−22222i−2i−2i2i000000000000000
χ524-4-444-44-4400-4-440000000000004i−4i0000000000000000000000000000000
χ534-4-444-44-4400-4-44000000000000−4i4i0000000000000000000000000000000
χ544-4-444-44-4-40044-4000000000000000000002i2−2i2−2i22i2000000000000000000000
χ554-4-444-44-4-40044-400000000000000000000−2i22i22i2−2i2000000000000000000000
χ564-4-44-44-44444-44-4-4-44-400000000000000000000000000000000000000000
χ574-4-44-44-444-4-4-44-444-4400000000000000000000000000000000000000000
χ584-4-44-44-44-4-4-44-44444-400000000000000000000000000000000000000000
χ5988-8-888-8-8000000000000000000000000000000000000000000000000000

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