Finite Group Databasebeta

← Group #348013

Character table — Group #348013

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111122222222444444444444444888888888888888888888816161616323232323232
order12222244444444488888888888822444444444488888888884444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1-1-11-1-1-11-11-1-1-11-111-1-11111-1-11111-1-111-1-1
χ61111111111111111111-1-1-1-1-1-1-1-11-1-1-11-11-1-1-11-111-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111111-1-1-1-1-1-1-1-1-11-1-1-11-11-1-1-11-1-11111-1-1111111-1-1-1-111
χ81111111111111111111-1-1-1-1-1-1-1-1-11-1-1-11-11-1-1-11-1-11111-1-111-1-1-1-11111-1-1
χ9111111111111111-1-1-1-1111111111-1-1-11-11-1-1-11-1-1-111-1-1-1-11111-1-11-11-11-1
χ10111111111111111-1-1-1-1111111111-1-1-11-11-1-1-11-1-1-111-1-1-1-111-1-111-11-11-11
χ11111111111111111-1-1-1-111111111-11-1-1-11-11-1-1-1111-1-1-1-111-1-111-1-11-1-11-11
χ12111111111111111-1-1-1-111111111-11-1-1-11-11-1-1-1111-1-1-1-111-1-1-1-111-111-11-1
χ13111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11
χ14111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1
χ15111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111111-1-1-11-111-1
χ16111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1111-11-1-11
χ1722222222-222-2-2-2-20000000000002222-2-2-2-2-2-22200000000000000000000
χ1822222222-222-2-2-2-20000000000002-2-2-2-22-22222-200000000000000000000
χ1922222222-222-2-2-2-2000000000000-22-2-22-22-222-2200000000000000000000
χ2022222222-222-2-2-2-2000000000000-2-2222222-2-2-2-200000000000000000000
χ21222222-2-22-2-22-2-2222222222-2-2-2-2002-200002-2000000-2-200000000000000
χ22222222-2-22-2-22-2-222222-2-2-2-2222200-220000-22000000-2-200000000000000
χ23222222-2-22-2-22-2-22-2-2-2-22222-2-2-2-200-220000-220000002200000000000000
χ24222222-2-22-2-22-2-22-2-2-2-2-2-2-2-22222002-200002-20000002200000000000000
χ25222222-2-2-2-2-2-222-2000000000000002-20000-22002i−2i2i−2i002i−2i2i−2i0000000000
χ26222222-2-2-2-2-2-222-2000000000000002-20000-2200−2i2i−2i2i00−2i2i−2i2i0000000000
χ27222222-2-2-2-2-2-222-200000000000000-2200002-2002i−2i−2i2i002i−2i−2i2i0000000000
χ28222222-2-2-2-2-2-222-200000000000000-2200002-200−2i2i2i−2i00−2i2i2i−2i0000000000
χ292222-2-22-222-222-2-222-2-20000000002000-202000-200222-200-2-20000000000
χ302222-2-22-222-222-2-222-2-2000000000-200020-2000200-2-22-200220000000000
χ312222-2-22-222-222-2-2-2-2220000000002000-202000-200-2-2-2200220000000000
χ322222-2-22-222-222-2-2-2-222000000000-200020-200020022-2200-2-20000000000
χ332222-2-22-2-22-2-2-22200002i2i−2i−2i2i2i−2i−2i0200020-2000-22i−2i0000−2i2i000000000000
χ342222-2-22-2-22-2-2-22200002i2i−2i−2i2i2i−2i−2i0-2000-2020002−2i2i00002i−2i000000000000
χ352222-2-22-2-22-2-2-2220000−2i−2i2i2i−2i−2i2i2i0200020-2000-2−2i2i00002i−2i000000000000
χ362222-2-22-2-22-2-2-2220000−2i−2i2i2i−2i−2i2i2i0-2000-20200022i−2i0000−2i2i000000000000
χ372222-2-2-222-222-22-222-2-2000000002000-202000-202200-22-2-2000000000000
χ382222-2-2-222-222-22-222-2-200000000-200020-200020-2-200-2222000000000000
χ392222-2-2-222-222-22-2-2-222000000002000-202000-20-2-2002-222000000000000
χ402222-2-2-222-222-22-2-2-22200000000-200020-20002022002-2-2-2000000000000
χ412222-2-2-22-2-22-22-2200002i2i−2i−2i−2i−2i2i2i200020-2000-20002i−2i0000−2i2i0000000000
χ422222-2-2-22-2-22-22-2200002i2i−2i−2i−2i−2i2i2i-2000-2020002000−2i2i00002i−2i0000000000
χ432222-2-2-22-2-22-22-220000−2i−2i2i2i2i2i−2i−2i200020-2000-2000−2i2i00002i−2i0000000000
χ442222-2-2-22-2-22-22-220000−2i−2i2i2i2i2i−2i−2i-2000-20200020002i−2i0000−2i2i0000000000
χ454-44-40000-40040004i−4i000000000000000000000000000000002-22i−2i000000
χ464-44-40000-40040004i−4i00000000000000000000000000000000-22−2i2i000000
χ474-44-40000-4004000−4i4i000000000000000000000000000000002-2−2i2i000000
χ484-44-40000-4004000−4i4i00000000000000000000000000000000-222i−2i000000
χ494-4-444-4440-4-40000000022−2222−2222−2222−2200000000000000000000000000000000
χ504-4-444-4440-4-400000000−2222−2222−2222−222200000000000000000000000000000000
χ514-4-444-4-4-40440000000022−2222−22−2222−222200000000000000000000000000000000
χ524-4-444-4-4-404400000000−2222−222222−2222−2200000000000000000000000000000000
χ534-4-44-444-40-44000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000
χ544-4-44-444-40-4400000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000
χ554-4-44-44-4404-4000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000
χ564-4-44-44-4404-400000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000
χ5788-8-8000000000000042−420000000000000000000000000000000000000000
χ5888-8-80000000000000−42420000000000000000000000000000000000000000
χ598-88-80000800-800000000000000000000000000000000000000000000000

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