Finite Group Databasebeta

← Group #10826786

Character table — Group #10826786

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444444448888888888881212121212121212161616161616161616161616242424242424242424242424
order122222222234444666224444666666121212122466661212121212122222444444441212121212121212224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-11111111111-1-11111-1-1-1-11-111-1-11-1-1-1-1-1
χ6111111111111111111-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-111111111-1-111-1-1-1-11111-11-1-111-11-1-1-1-1
χ7111111111111111111-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-111111
χ8111111111111111111-1-111-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-111-1-11-11111
χ911111111111-1-1-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-111-1-111-1-111-1-1-1-11111-1-1
χ1011111111111-1-1-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-11-11-1-111-1-111-1-11111-1-111-1-1
χ1111111111111-1-1-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111-11-111-1-111-1-1-1-11111-1-1-1-111
χ1211111111111-1-1-1-111111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-11-11-1-111-1-11111-1-1-1-111-1-111
χ1311111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11-1-1111-1-1-1-1111-1-1-1111-1-1-111
χ1411111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-111-1-1-11111-1-1-1111-1-1-11-1-111
χ1511111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-111111-1-1111-1-1-1-111-1111-1-1-1111-1-1
χ1611111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-111-1-1-11111-1-11-1-1-1111-111-1-1
χ172222222222-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1000000000000
χ182222222222-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100000000-2-2-2-211111111000000000000
χ192222222222-12222-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-2-21111-1-111110000000022-2-2-1-1-1-11111000000000000
χ202222222222-12222-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-2-21111-1-1111100000000-2-2221111-1-1-1-1000000000000
χ212222222222-1-2-2-2-2-1-1-122-2-222-1-1-1-1-1-11111-2-2-1-11111-1-111000000002-22-2-1-111-1-111000000000000
χ222222222222-1-2-2-2-2-1-1-122-2-222-1-1-1-1-1-11111-2-2-1-11111-1-11100000000-22-2211-1-111-1-1000000000000
χ232222222222-1-2-2-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111112211-1-11111-1-1000000002-2-22-1-11111-1-1000000000000
χ242222222222-1-2-2-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111112211-1-11111-1-100000000-222-211-1-1-1-111000000000000
χ2522222-2-2-2-222222222222-2-2-2-222-2-2-2-22222-2222-2-2-2-2-2-22200000000000000000000000000000000
χ2622222-2-2-2-2222222222-2-2-2-22222-2-2-2-222222-2-2-222-2-222-2-200000000000000000000000000000000
χ2722222-2-2-2-222-2-2-2-22222222-2-222-2-2-2-2-2-2-2-22-2222222-2-2-2-200000000000000000000000000000000
χ2822222-2-2-2-222-2-2-2-2222-2-2222222-2-2-2-2-2-2-2-2-22-2-2-2-222222200000000000000000000000000000000
χ2922222-2-2-2-22-12222-1-1-122-2-2-2-2-1-11111-1-1-1-1-22-1-1111111-1-10000000000003−33−33−33−3000000000000
χ3022222-2-2-2-22-12222-1-1-122-2-2-2-2-1-11111-1-1-1-1-22-1-1111111-1-1000000000000−33−33−33−33000000000000
χ3122222-2-2-2-22-12222-1-1-1-2-2-2-222-1-11111-1-1-1-12-211-1-111-1-1110000000000003−33−3−33−33000000000000
χ3222222-2-2-2-22-12222-1-1-1-2-2-2-222-1-11111-1-1-1-12-211-1-111-1-111000000000000−33−333−33−3000000000000
χ3322222-2-2-2-22-1-2-2-2-2-1-1-12222-2-2-1-1111111112-2-1-1-1-1-1-111110000000000003−3−333−3−33000000000000
χ3422222-2-2-2-22-1-2-2-2-2-1-1-12222-2-2-1-1111111112-2-1-1-1-1-1-11111000000000000−333−3−333−3000000000000
χ3522222-2-2-2-22-1-2-2-2-2-1-1-1-2-22222-1-111111111-221111-1-1-1-1-1-10000000000003−3−33−333−3000000000000
χ3622222-2-2-2-22-1-2-2-2-2-1-1-1-2-22222-1-111111111-221111-1-1-1-1-1-1000000000000−333−33−3−33000000000000
χ372222-222-2-2-2222-2-2222002-200-2-222-2-222-2-20000002-2000000000000000000000000202-200-200000
χ382222-222-2-2-2222-2-2222002-200-2-222-2-222-2-20000002-2000000000000000000000000-20-2200200000
χ392222-222-2-2-22-2-22222200-2200-2-222-2-2-2-222000000-2200000000000000000000000020-2200-200000
χ402222-222-2-2-22-2-22222200-2200-2-222-2-2-2-222000000-22000000000000000000000000-202-200200000
χ412222-2-2-222-2222-2-222200-2200-2-2-2-22222-2-2000000-2200000000000000000000000002002-20-20000
χ422222-2-2-222-2222-2-222200-2200-2-2-2-22222-2-2000000-220000000000000000000000000-200-22020000
χ432222-2-2-222-22-2-222222002-200-2-2-2-222-2-2220000002-20000000000000000000000000200-220-20000
χ442222-2-2-222-22-2-222222002-200-2-2-2-222-2-2220000002-20000000000000000000000000-2002-2020000
χ452-2-22-22-22-2220000-2-222-2002-22-22-22-20000002-200002-200000022-2-200000000000000000000002-2
χ462-2-22-22-22-2220000-2-222-2002-22-22-22-20000002-200002-2000000-2-2220000000000000000000000-22
χ472-2-22-22-22-2220000-2-22-2200-222-22-22-2000000-220000-2200000022-2-20000000000000000000000-22
χ482-2-22-22-22-2220000-2-22-2200-222-22-22-2000000-220000-22000000-2-22200000000000000000000002-2
χ492-2-22-2-22-22220000-2-222-200-222-2-22-220000002-20000-220022-2-20000000000000000000000002-200
χ502-2-22-2-22-22220000-2-222-200-222-2-22-220000002-20000-2200-2-222000000000000000000000000-2200
χ512-2-22-2-22-22220000-2-22-22002-22-2-22-22000000-2200002-20022-2-2000000000000000000000000-2200
χ522-2-22-2-22-22220000-2-22-22002-22-2-22-22000000-2200002-200-2-2220000000000000000000000002-200
χ534444-444-4-4-4-244-4-4-2-2-2004-40022-2-222-2-222000000-22000000000000000000000000000000000000
χ544444-444-4-4-4-2-4-444-2-2-200-440022-2-22222-2-20000002-2000000000000000000000000000000000000
χ554444-4-4-444-4-244-4-4-2-2-200-44002222-2-2-2-2220000002-2000000000000000000000000000000000000
χ564444-4-4-444-4-2-4-444-2-2-2004-4002222-2-222-2-2000000-22000000000000000000000000000000000000
χ5744-4-40000004004i−4i4-4-4000000000000004i−4i0000000000002-22-22i−2i2i−2i000000000000000000000000
χ5844-4-40000004004i−4i4-4-4000000000000004i−4i000000000000-22-22−2i2i−2i2i000000000000000000000000
χ5944-4-4000000400−4i4i4-4-400000000000000−4i4i0000000000002-22-2−2i2i−2i2i000000000000000000000000
χ6044-4-4000000400−4i4i4-4-400000000000000−4i4i000000000000-22-222i−2i2i−2i000000000000000000000000
χ614-44-400000044i−4i00-44-40000000000004i−4i000000000000002-2-222i−2i−2i2i000000000000000000000000
χ624-44-400000044i−4i00-44-40000000000004i−4i00000000000000-222-2−2i2i2i−2i000000000000000000000000
χ634-44-40000004−4i4i00-44-4000000000000−4i4i000000000000002-2-22−2i2i2i−2i000000000000000000000000
χ644-44-40000004−4i4i00-44-4000000000000−4i4i00000000000000-222-22i−2i−2i2i000000000000000000000000
χ654-4-4444-4-44-440000-4-44000000-444-4-44000000000000000000000000000000000000000000000000
χ664-4-4444-4-44-4-2000022-20000002-2-222-200000000−2i32i30000−2i32i300000000000000000000000000000000
χ674-4-4444-4-44-4-2000022-20000002-2-222-2000000002i3−2i300002i3−2i300000000000000000000000000000000
χ684-4-444-444-4-440000-4-44000000-44-444-4000000000000000000000000000000000000000000000000
χ694-4-444-444-4-4-2000022-20000002-22-2-2200000000−2i32i300002i3−2i300000000000000000000000000000000
χ704-4-444-444-4-4-2000022-20000002-22-2-22000000002i3−2i30000−2i32i300000000000000000000000000000000
χ714-4-44-44-44-44-2000022-24-4004-4-22-22-22000000-220000-220000000000000000000000000000000000
χ724-4-44-44-44-44-2000022-2-4400-44-22-22-220000002-200002-20000000000000000000000000000000000
χ734-4-44-4-44-444-2000022-24-400-44-222-22-2000000-2200002-20000000000000000000000000000000000
χ744-4-44-4-44-444-2000022-2-44004-4-222-22-20000002-20000-220000000000000000000000000000000000
χ7588-8-8000000-4008i−8i-44400000000000000−4i4i00000000000000000000000000000000000000000000
χ7688-8-8000000-400−8i8i-444000000000000004i−4i00000000000000000000000000000000000000000000
χ778-88-8000000-48i−8i004-44000000000000−4i4i0000000000000000000000000000000000000000000000
χ788-88-8000000-4−8i8i004-440000000000004i−4i0000000000000000000000000000000000000000000000

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