Finite Group Databasebeta

← Group #97513

Character table — Group #97513

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11111111222222222222444444444444444444444444888888888888161616161616161616161616161616161616
order12222222444444444444224444444444444444444444224444444444244444888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-11-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11-11-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-11-11-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-111111111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1-1-11111-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-1111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-111-1-1-11ii−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-11111-1111-1-1ii−i−i−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1111-1-111-1−i−iiiii−i−i−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-11111-1-1-1-11-111−i−iii−i−iiiii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-111-1-1-11−i−iii−i−iii−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-11111-1111-1-1−i−iiiii−i−iii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1111-1-111-1ii−i−i−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-11111-1-1-1-11-111ii−i−iii−i−i−i−iii
χ17222222222222-2-22222-2-2-2-2-2-222-2-20000000000000000000022002200-20-2000000000000000
χ18222222222222-2-22222-2-2-2-2-2-222-2-200000000000000000000-2-200-2-200202000000000000000
χ192222222222-2-22222-2-222-2-2-2-2-2-22200000000000000002222000000000-200-20000000000000
χ202222222222-2-22222-2-222-2-2-2-2-2-2220000000000000000-2-2-2-200000000020020000000000000
χ212222222222-2-2-2-222-2-2-2-22222-2-2-2-200000000000000000000002200-2-200020-2000000000000
χ222222222222-2-2-2-222-2-2-2-22222-2-2-2-20000000000000000000000-2-20022000-202000000000000
χ2322222222-2-22222-2-22222-2-222-2-2-2-20000000000000000000000220022000-20-2000000000000
χ2422222222-2-22222-2-22222-2-222-2-2-2-20000000000000000000000-2-200-2-2000202000000000000
χ2522222222-2-222-2-2-2-222-2-222-2-2-2-222000000000000000022-2-2000000000-20020000000000000
χ2622222222-2-222-2-2-2-222-2-222-2-2-2-2220000000000000000-2-222000000000200-20000000000000
χ2722222222-2-2-2-222-2-2-2-22222-2-222-2-2000000000000000000002200-2-200-202000000000000000
χ2822222222-2-2-2-222-2-2-2-22222-2-222-2-200000000000000000000-2-200220020-2000000000000000
χ2922-22-2-22-22i−2i002i−2i2i−2i002i−2i0000002-21+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i2-22i−2i000000000000001+i−1−i1−i−1+i00000000
χ3022-22-2-22-22i−2i002i−2i2i−2i002i−2i0000002-21+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i-22−2i2i00000000000000−1−i1+i−1+i1−i00000000
χ3122-22-2-22-22i−2i002i−2i2i−2i002i−2i0000002-2−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i2-22i−2i00000000000000−1−i1+i−1+i1−i00000000
χ3222-22-2-22-22i−2i002i−2i2i−2i002i−2i0000002-2−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i-22−2i2i000000000000001+i−1−i1−i−1+i00000000
χ3322-22-2-22-2−2i2i00−2i2i−2i2i00−2i2i0000002-21−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i2-2−2i2i000000000000001−i−1+i1+i−1−i00000000
χ3422-22-2-22-2−2i2i00−2i2i−2i2i00−2i2i0000002-21−i1−i1−i1−i−1+i−1+i−1+i−1+i1+i1+i1+i1+i−1−i−1−i−1−i−1−i-222i−2i00000000000000−1+i1−i−1−i1+i00000000
χ3522-22-2-22-2−2i2i00−2i2i−2i2i00−2i2i0000002-2−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i2-2−2i2i00000000000000−1+i1−i−1−i1+i00000000
χ3622-22-2-22-2−2i2i00−2i2i−2i2i00−2i2i0000002-2−1+i−1+i−1+i−1+i1−i1−i1−i1−i−1−i−1−i−1−i−1−i1+i1+i1+i1+i-222i−2i000000000000001−i−1+i1+i−1−i00000000
χ3722-2-22-2-222i−2i2i−2i00−2i2i2i−2i0000002-2001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00002i−2i002-20000000000001−i−1+i1+i−1−i0000
χ3822-2-22-2-222i−2i2i−2i00−2i2i2i−2i0000002-2001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0000−2i2i00-22000000000000−1+i1−i−1−i1+i0000
χ3922-2-22-2-222i−2i2i−2i00−2i2i2i−2i0000002-200−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00002i−2i002-2000000000000−1+i1−i−1−i1+i0000
χ4022-2-22-2-222i−2i2i−2i00−2i2i2i−2i0000002-200−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000−2i2i00-220000000000001−i−1+i1+i−1−i0000
χ4122-2-22-2-22−2i2i−2i2i002i−2i−2i2i0000002-2001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00002i−2i00-22000000000000−1−i1+i−1+i1−i0000
χ4222-2-22-2-22−2i2i−2i2i002i−2i−2i2i0000002-2001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000−2i2i002-20000000000001+i−1−i1−i−1+i0000
χ4322-2-22-2-22−2i2i−2i2i002i−2i−2i2i0000002-200−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00002i−2i00-220000000000001+i−1−i1−i−1+i0000
χ4422-2-22-2-22−2i2i−2i2i002i−2i−2i2i0000002-200−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000−2i2i002-2000000000000−1−i1+i−1+i1−i0000
χ452-2222-2-2-2002i−2i2i−2i00−2i2i−2i2i002-200001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i0000002-2002i−2i000000000000001−i−1+i1+i−1−i
χ462-2222-2-2-2002i−2i2i−2i00−2i2i−2i2i002-200001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000-2200−2i2i00000000000000−1+i1−i−1−i1+i
χ472-2222-2-2-2002i−2i2i−2i00−2i2i−2i2i002-20000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i0000002-2002i−2i00000000000000−1+i1−i−1−i1+i
χ482-2222-2-2-2002i−2i2i−2i00−2i2i−2i2i002-20000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000-2200−2i2i000000000000001−i−1+i1+i−1−i
χ492-2222-2-2-200−2i2i−2i2i002i−2i2i−2i002-200001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i0000002-200−2i2i000000000000001+i−1−i1−i−1+i
χ502-2222-2-2-200−2i2i−2i2i002i−2i2i−2i002-200001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000-22002i−2i00000000000000−1−i1+i−1+i1−i
χ512-2222-2-2-200−2i2i−2i2i002i−2i2i−2i002-20000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i0000002-200−2i2i00000000000000−1−i1+i−1+i1−i
χ522-2222-2-2-200−2i2i−2i2i002i−2i2i−2i002-20000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000-22002i−2i000000000000001+i−1−i1−i−1+i
χ53444-4-44-4-4440000-4-400000000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000
χ54444-4-44-4-4440000-4-4000000000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000
χ55444-4-44-4-4-4-40000440000000000002i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ56444-4-44-4-4-4-4000044000000000000−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ5744-44-4-44-44i−4i00−4i4i4i−4i00−4i4i000000-440000000000000000000000000000000000000000000000
χ5844-44-4-44-4−4i4i004i−4i−4i4i004i−4i000000-440000000000000000000000000000000000000000000000
χ5944-4-44-4-444i−4i−4i4i00−4i4i−4i4i000000-44000000000000000000000000000000000000000000000000
χ6044-4-44-4-44−4i4i4i−4i004i−4i4i−4i000000-44000000000000000000000000000000000000000000000000
χ614-4444-4-4-4004i−4i−4i4i00−4i4i4i−4i00-4400000000000000000000000000000000000000000000000000
χ624-4444-4-4-400−4i4i4i−4i004i−4i−4i4i00-4400000000000000000000000000000000000000000000000000
χ634-44-4-4-4440000000000004-40000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000
χ644-44-4-4-4440000000000004-4000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000
χ654-44-4-4-444000000000000-440000002-2-22-222-22-2-22-222-2000000000000000000000000000000
χ664-44-4-4-444000000000000-44000000-222-22-2-22-222-22-2-22000000000000000000000000000000
χ674-4-44-44-440000440000-4-4000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000
χ684-4-44-44-440000440000-4-400000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000
χ694-4-44-44-440000-4-4000044000000002-22-2-22-222-22-2-22-22000000000000000000000000000000
χ704-4-44-44-440000-4-400004400000000-22-222-22-2-22-222-22-2000000000000000000000000000000
χ714-4-4-4444-400440000-4-400000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000
χ724-4-4-4444-400440000-4-40000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000
χ734-4-4-4444-400-4-400004400000000002-2-222-2-222-2-222-2-22000000000000000000000000000000
χ744-4-4-4444-400-4-40000440000000000-222-2-222-2-222-2-222-2000000000000000000000000000000

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