Finite Group Databasebeta

← Group #349063

Character table — Group #349063

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11112222222222224444444444444444444444488888888888888888161616161616161632323232
order12222244444488882244444444488888888888822444444888888888888888882488
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-11-1-1111111111-1-1-1-11-11-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111-1-11-1-1111111111-1-1-1-11-11-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111-1-11-1-11111111111-1-1-1-11111-11-11-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1
χ61111111111111111-1-11-1-11111111111-1-1-1-11111-11-11-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-11-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111-1-11-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111-1-1-1-111111-1-11-1-11-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-11
χ12111111111111-1-1-1-111111-1-11-1-11-1-1-1-1-1-1-1-111111-11-1-1-1-1-1-1-1-1111111-1-11111-1-1-111-1
χ13111111111111-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-111-1-1111111-1-111-1-1-11-11
χ14111111111111-1-1-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-111-1-11111-1-111-1-1111-11-1
χ15111111111111-1-1-1-1-1-11-1-1-1-11-1-11-1-1-1-111111111-1-1-1-11111-11111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-1-1-1-1-11-1-1-1-11-1-11-1-1-1-111111111-1-1-1-11111-11111-1-1-1-1-1-11111-1-11-1-11
χ172222222-2-2-2-22000022-2-2-200200-2000000002i2i−2i−2i20-2000000002i−2i2i2i−2i−2i000000000000
χ182222222-2-2-2-22000022-2-2-200200-200000000−2i−2i2i2i20-200000000−2i2i−2i−2i2i2i000000000000
χ192222222-2-2-2-220000-2-2-22200200-2000000002i2i−2i−2i-202000000002i−2i−2i−2i2i2i000000000000
χ202222222-2-2-2-220000-2-2-22200200-200000000−2i−2i2i2i-20200000000−2i2i2i2i−2i−2i000000000000
χ21222222-22222-2222200-20022-222-222-2-2000022220-20-20000-200-2-20000000000000000
χ22222222-22222-2222200-200-2-2-2-2-2-222-2-20000-2-2-2-202020000-200220000000000000000
χ23222222-22222-2-2-2-2-200-20022-222-2-2-2220000-2-2-2-20-20-20000200220000000000000000
χ24222222-22222-2-2-2-2-200-200-2-2-2-2-2-2-2-2220000222202020000200-2-20000000000000000
χ25222222-2-2-2-2-2-200000020000-200200002i2i−2i−2i2i2i−2i−2i00002-22-202i−2i−2i2i0000000000000000
χ26222222-2-2-2-2-2-200000020000-200200002i2i−2i−2i−2i−2i2i2i0000-22-2202i−2i2i−2i0000000000000000
χ27222222-2-2-2-2-2-200000020000-20020000−2i−2i2i2i2i2i−2i−2i0000-22-220−2i2i−2i2i0000000000000000
χ28222222-2-2-2-2-2-200000020000-20020000−2i−2i2i2i−2i−2i2i2i00002-22-20−2i2i2i−2i0000000000000000
χ292222-2-2222-2-22000022-2-2-222-2-2-22000000000000-2-22222-2-2000000000000000000000
χ302222-2-2222-2-22000022-2-2-2-2-2-2222000000000000-222-2-2-222000000000000000000000
χ312222-2-2222-2-220000-2-2-22222-2-2-220000000000002-2-22-2-222000000000000000000000
χ322222-2-2222-2-220000-2-2-222-2-2-222200000000000022-2-222-2-2000000000000000000000
χ332222-2-22-2-222222222222200-200-2-2-22222220000-20-200000-2-2-2000000000000000000
χ342222-2-22-2-22222222-2-22-2-200-200-2-2-222-2-2-2-2000020200000-222000000000000000000
χ352222-2-22-2-2222-2-2-2-22222200-200-222-2-2-2-2-2-20000-20-200000222000000000000000000
χ362222-2-22-2-2222-2-2-2-2-2-22-2-200-200-222-2-222220000202000002-2-2000000000000000000
χ372222-2-2-222-2-2-2000000200222-2-2-200002i2i−2i−2i0000020-200000−2i2i002i−2i2i−2i000000000000
χ382222-2-2-222-2-2-2000000200222-2-2-20000−2i−2i2i2i0000020-2000002i−2i00−2i2i−2i2i000000000000
χ392222-2-2-222-2-2-2000000200-2-2222-200002i2i−2i−2i00000-20200000−2i2i00−2i2i−2i2i000000000000
χ402222-2-2-222-2-2-2000000200-2-2222-20000−2i−2i2i2i00000-202000002i−2i002i−2i2i−2i000000000000
χ412222-2-2-2-2-222-2222200-200002002-2-2-2-20000000000002-2-22200002-2-22000000000000
χ422222-2-2-2-2-222-2222200-200002002-2-2-2-2000000000000-222-220000-222-2000000000000
χ432222-2-2-2-2-222-2-2-2-2-200-20000200222220000000000002-2-22-20000-222-2000000000000
χ442222-2-2-2-2-222-2-2-2-2-200-2000020022222000000000000-222-2-200002-2-22000000000000
χ4522-2-22-202-22-202i2i−2i−2i000002i−2i02i−2i02i−2i0000002-22-2000000000000000002−2i2−i2i2−i22−20000
χ4622-2-22-202-22-202i2i−2i−2i000002i−2i02i−2i02i−2i0000002-22-200000000000000000−22−i2i2−i2i2−220000
χ4722-2-22-202-22-202i2i−2i−2i00000−2i2i0−2i2i02i−2i000000-22-22000000000000000002−2i2−i2−i2i2−220000
χ4822-2-22-202-22-202i2i−2i−2i00000−2i2i0−2i2i02i−2i000000-22-2200000000000000000−22−i2i2i2−i22−20000
χ4922-2-22-202-22-20−2i−2i2i2i000002i−2i02i−2i0−2i2i000000-22-22000000000000000002−2−i2i2i2−i2−220000
χ5022-2-22-202-22-20−2i−2i2i2i000002i−2i02i−2i0−2i2i000000-22-2200000000000000000−22i2−i2−i2i22−20000
χ5122-2-22-202-22-20−2i−2i2i2i00000−2i2i0−2i2i0−2i2i0000002-22-2000000000000000002−2−i2i2−i2i22−20000
χ5222-2-22-202-22-20−2i−2i2i2i00000−2i2i0−2i2i0−2i2i0000002-22-200000000000000000−22i2−i2i2−i2−220000
χ5344-4-44-40-44-440000000000000000000000004i−4i−4i4i00000000000000000000000000000
χ5444-4-44-40-44-44000000000000000000000000−4i4i4i−4i00000000000000000000000000000
χ5544-4-4-4404-4-4400000000004i−4i0−4i4i000000000000000000000000000000000000000000
χ5644-4-4-4404-4-440000000000−4i4i04i−4i000000000000000000000000000000000000000000
χ5744-4-4-440-444-404i4i−4i−4i00000000000−4i4i000000000000000000000000000000000000000
χ5844-4-4-440-444-40−4i−4i4i4i000000000004i−4i000000000000000000000000000000000000000
χ594-4-440040000-422−2222−220004i−4i0000000022−222i2−2i22i2−2i2000000000000000000000000000000000
χ604-4-440040000-422−2222−22000−4i4i0000000022−22−2i22i2−2i22i2000000000000000000000000000000000
χ614-4-440040000-4−2222−22220004i−4i00000000−2222−2i22i2−2i22i2000000000000000000000000000000000
χ624-4-440040000-4−2222−2222000−4i4i00000000−22222i2−2i22i2−2i2000000000000000000000000000000000
χ634-4-4400-40000422−2222−224-400000000000−222222−22−2222000000000000000000000000000000000
χ644-4-4400-40000422−2222−22-4400000000000−2222−222222−22000000000000000000000000000000000
χ654-4-4400-400004−2222−22224-40000000000022−22−222222−22000000000000000000000000000000000
χ664-4-4400-400004−2222−2222-440000000000022−2222−22−2222000000000000000000000000000000000
χ678-88-8000000004i2−4i2−4i24i20000000000000000000000000000000000000000000000000000
χ688-88-800000000−4i24i24i2−4i20000000000000000000000000000000000000000000000000000

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