Finite Group Databasebeta

← Group #349148

Character table — Group #349148

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11112222222244444444444444444888888888888888888888161616161616161632323232
order12222244444422444448888888888444444444488888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ9111111111111-1-11-1-1111111-1-1-1-111-111-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1
χ10111111111111-1-11-1-1111111-1-1-1-111-111-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-111
χ11111111111111-1-11-1-1111111-1-1-1-111-1-1-111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ12111111111111-1-11-1-1111111-1-1-1-111-1-1-111-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111111-1-11-1-111-1-1-1-11111-1-1-111-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111111-1-11-1-111-1-1-1-11111-1-1-111-1-1-111-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ15111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-111-1-1-111-1111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111-1-11-1-111-1-1-1-11111-1-1-1-1-111-1-1-111-1111111-1-1-1-1-1-11111-1-11-1-11
χ17222222222-2-2222-222-2-222222222-2-2-20000-20000-2-2-200000000000000000000
χ18222222222-2-2222-222-2-2-2-2-2-2-2-2-2-222-20000-2000022200000000000000000000
χ19222222222-2-22-2-2-2-2-2-2-22222-2-2-2-2-2-22000020000-22200000000000000000000
χ20222222222-2-22-2-2-2-2-2-2-2-2-2-2-222222220000200002-2-200000000000000000000
χ21222222-2-2-222-200200-2-200002i2i−2i−2i00022000-2-20002i−2i00002i2i−2i−2i000000000000
χ22222222-2-2-222-200200-2-200002i2i−2i−2i000-2-2000220002i−2i0000−2i−2i2i2i000000000000
χ23222222-2-2-222-200200-2-20000−2i−2i2i2i00022000-2-2000−2i2i0000−2i−2i2i2i000000000000
χ24222222-2-2-222-200200-2-20000−2i−2i2i2i000-2-200022000−2i2i00002i2i−2i−2i000000000000
χ25222222-2-2-2-2-2-200-2002200002i2i−2i−2i000002-20002-20−2i2i2i2i−2i−2i0000000000000000
χ26222222-2-2-2-2-2-200-2002200002i2i−2i−2i00000-22000-220−2i2i−2i−2i2i2i0000000000000000
χ27222222-2-2-2-2-2-200-200220000−2i−2i2i2i000002-20002-202i−2i−2i−2i2i2i0000000000000000
χ28222222-2-2-2-2-2-200-200220000−2i−2i2i2i00000-22000-2202i−2i2i2i−2i−2i0000000000000000
χ292222-2-222-222-222-2-2-2-22000000000022-222-22-2-2-200000000000000000000000
χ302222-2-222-222-222-2-2-2-2200000000002-22-2-2-2-222200000000000000000000000
χ312222-2-222-222-2-2-2-222-220000000000-22-2-2-222-22200000000000000000000000
χ322222-2-222-222-2-2-2-222-220000000000-2-22222-22-2-200000000000000000000000
χ332222-2-222-2-2-2-2222-2-22-20000000000-20000200000002i−2i2i−2i2i−2i2i−2i000000000000
χ342222-2-222-2-2-2-2222-2-22-20000000000-2000020000000−2i2i−2i2i−2i2i−2i2i000000000000
χ352222-2-222-2-2-2-2-2-22222-2000000000020000-200000002i−2i2i−2i−2i2i−2i2i000000000000
χ362222-2-222-2-2-2-2-2-22222-2000000000020000-20000000−2i2i−2i2i2i−2i2i−2i000000000000
χ372222-2-2-2-2222200-2002-222-2-200002202-2000-2200-2002-2-220000000000000000
χ382222-2-2-2-2222200-2002-222-2-20000220-220002-200-200-222-20000000000000000
χ392222-2-2-2-2222200-2002-2-2-2220000-2-202-2000-2200200-222-20000000000000000
χ402222-2-2-2-2222200-2002-2-2-2220000-2-20-220002-2002002-2-220000000000000000
χ412222-2-2-2-22-2-2200200-2222-2-20000-2-20002-2000-2220000002-2-22000000000000
χ422222-2-2-2-22-2-2200200-2222-2-20000-2-2000-220002-22000000-222-2000000000000
χ432222-2-2-2-22-2-2200200-22-2-2220000220002-2000-22-2000000-222-2000000000000
χ442222-2-2-2-22-2-2200200-22-2-222000022000-220002-2-20000002-2-22000000000000
χ4522-2-22-22-2-20022-202-2002i−2i2i−2i2i−2i2i−2i00000000000000000000000i2−i22−2i2−i22−20000
χ4622-2-22-22-2-20022-202-2002i−2i2i−2i2i−2i2i−2i00000000000000000000000−i2i2−22−i2i2−220000
χ4722-2-22-22-2-20022-202-200−2i2i−2i2i−2i2i−2i2i00000000000000000000000i2−i2−22i2−i2−220000
χ4822-2-22-22-2-20022-202-200−2i2i−2i2i−2i2i−2i2i00000000000000000000000−i2i22−2−i2i22−20000
χ4922-2-22-22-2-2002-220-22002i−2i2i−2i−2i2i−2i2i00000000000000000000000i2−i22−2−i2i2−220000
χ5022-2-22-22-2-2002-220-22002i−2i2i−2i−2i2i−2i2i00000000000000000000000−i2i2−22i2−i22−20000
χ5122-2-22-22-2-2002-220-2200−2i2i−2i2i2i−2i2i−2i00000000000000000000000i2−i2−22−i2i22−20000
χ5222-2-22-22-2-2002-220-2200−2i2i−2i2i2i−2i2i−2i00000000000000000000000−i2i22−2i2−i2−220000
χ5344-4-44-4-44400-4000000000004-4-4400000000000000000000000000000000000
χ5444-4-44-4-44400-400000000000-444-400000000000000000000000000000000000
χ5544-4-4-444-4400-44-40-44000000000000000000000000000000000000000000000
χ5644-4-4-444-4400-4-4404-4000000000000000000000000000000000000000000000
χ5744-4-4-44-44-400400000004i−4i−4i4i000000000000000000000000000000000000000
χ5844-4-4-44-44-40040000000−4i4i4i−4i000000000000000000000000000000000000000
χ598-88-8000008-8000000000000000000000000000000000000000000000000000
χ608-88-800000-88000000000000000000000000000000000000000000000000000
χ618-8-88000000000000000000000004i2−4i2000000000000000000000000000000000
χ628-8-8800000000000000000000000−4i24i2000000000000000000000000000000000

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