Finite Group Databasebeta

← Group #10829377

Character table — Group #10829377

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444444448888888888881212121212121212161616161616161616161616242424242424242424242424
order12222222223444466644444466666612121212246612121212121212122222444444441212121212121212224444444444
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
χ5111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ7111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111
χ8111111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111
χ911111111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-11-111-1-111-1-11-11-11-11-111-1-1
χ1011111111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-11-1-111-1-111-11-11-11-1111-1-1
χ1111111111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-11-111-1-111-1-1-11-11-11-11-1-111
χ1211111111111-1-1-1-111111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-11-1-111-1-1111-11-11-11-1-1-111
χ1311111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1111-11-1-11-11-1-111
χ1411111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-11-111-11-1-1-111
χ1511111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-11-111-11-111-1-1
χ1611111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-11-1-11-1111-1-1
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
χ192222222222-12222-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-2-2111111-1-1110000000022-2-2-1-1-1-11111000000000000
χ202222222222-12222-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-1-2-2111111-1-11100000000-2-2221111-1-1-1-1000000000000
χ212222222222-1-2-2-2-2-1-1-122-2-222-1-1-1-1-1-11111-2-211-1-11111-1-1000000002-22-2-1-111-1-111000000000000
χ222222222222-1-2-2-2-2-1-1-122-2-222-1-1-1-1-1-11111-2-211-1-11111-1-100000000-22-2211-1-111-1-1000000000000
χ232222222222-1-2-2-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111122-1-111-1-11111000000002-2-22-1-11111-1-1000000000000
χ242222222222-1-2-2-2-2-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111122-1-111-1-1111100000000-222-211-1-1-1-111000000000000
χ2522222-22-2-2-2222-2-2222002-2002-2-2-22-222-2-2000000002-2000000000000000000000022-2-200000000
χ2622222-22-2-2-2222-2-2222002-2002-2-2-22-222-2-2000000002-20000000000000000000000-2-22200000000
χ2722222-22-2-2-22-2-22222200-22002-2-2-22-2-2-22200000000-2200000000000000000000002-2-2200000000
χ2822222-22-2-2-22-2-22222200-22002-2-2-22-2-2-22200000000-220000000000000000000000-222-200000000
χ292222-22-22-2-2222-2-222200-2200-22-2-2-2222-2-200000000-220000000000000000000000000022-2-20000
χ302222-22-22-2-2222-2-222200-2200-22-2-2-2222-2-200000000-2200000000000000000000000000-2-2220000
χ312222-22-22-2-22-2-222222002-200-22-2-2-22-2-222000000002-2000000000000000000000000002-2-220000
χ322222-22-22-2-22-2-222222002-200-22-2-2-22-2-222000000002-200000000000000000000000000-222-20000
χ332222-2-2-2-2222222222222-2-2-2-2-2-222-2-22222-22-2-22222-2-2-2-200000000000000000000000000000000
χ342222-2-2-2-22222222222-2-2-2-222-2-222-2-222222-222-2-2-2-2-2-22200000000000000000000000000000000
χ352222-2-2-2-2222-2-2-2-22222222-2-2-2-222-2-2-2-2-2-22-22222-2-222-2-200000000000000000000000000000000
χ362222-2-2-2-2222-2-2-2-2222-2-22222-2-222-2-2-2-2-2-2-22-2-2-2-222222200000000000000000000000000000000
χ372222-2-2-2-222-12222-1-1-122-2-2-2-211-1-111-1-1-1-1-2211-1-1-1-111110000000000003−33−33−33−3000000000000
χ382222-2-2-2-222-12222-1-1-122-2-2-2-211-1-111-1-1-1-1-2211-1-1-1-11111000000000000−33−33−33−33000000000000
χ392222-2-2-2-222-12222-1-1-1-2-2-2-22211-1-111-1-1-1-12-2-1-1111111-1-10000000000003−33−3−33−33000000000000
χ402222-2-2-2-222-12222-1-1-1-2-2-2-22211-1-111-1-1-1-12-2-1-1111111-1-1000000000000−33−333−33−3000000000000
χ412222-2-2-2-222-1-2-2-2-2-1-1-12222-2-211-1-11111112-2-1-1-1-111-1-1110000000000003−3−333−3−33000000000000
χ422222-2-2-2-222-1-2-2-2-2-1-1-12222-2-211-1-11111112-2-1-1-1-111-1-111000000000000−333−3−333−3000000000000
χ432222-2-2-2-222-1-2-2-2-2-1-1-1-2-2222211-1-1111111-221111-1-1-1-1-1-10000000000003−3−33−333−3000000000000
χ442222-2-2-2-222-1-2-2-2-2-1-1-1-2-2222211-1-1111111-221111-1-1-1-1-1-1000000000000−333−33−3−33000000000000
χ4522-2-22-2-222-2200002-2-22i−2i002i−2i2-22-2-22000000002i−2i00002i−2i00002i2i−2i−2i00000000000000000000002-2
χ4622-2-22-2-222-2200002-2-22i−2i002i−2i2-22-2-22000000002i−2i00002i−2i0000−2i−2i2i2i0000000000000000000000-22
χ4722-2-22-2-222-2200002-2-2−2i2i00−2i2i2-22-2-2200000000−2i2i0000−2i2i00002i2i−2i−2i0000000000000000000000-22
χ4822-2-22-2-222-2200002-2-2−2i2i00−2i2i2-22-2-2200000000−2i2i0000−2i2i0000−2i−2i2i2i00000000000000000000002-2
χ4922-2-2-222-22-2200002-2-22i−2i00−2i2i-222-22-2000000002i−2i0000−2i2i22-2-20000000000000000000000002i−2i00
χ5022-2-2-222-22-2200002-2-22i−2i00−2i2i-222-22-2000000002i−2i0000−2i2i-2-222000000000000000000000000−2i2i00
χ5122-2-2-222-22-2200002-2-2−2i2i002i−2i-222-22-200000000−2i2i00002i−2i22-2-2000000000000000000000000−2i2i00
χ5222-2-2-222-22-2200002-2-2−2i2i002i−2i-222-22-200000000−2i2i00002i−2i-2-2220000000000000000000000002i−2i00
χ5344444-44-4-4-4-244-4-4-2-2-2004-400-2222-22-2-22200000000-220000000000000000000000000000000000
χ5444444-44-4-4-4-2-4-444-2-2-200-4400-2222-2222-2-2000000002-20000000000000000000000000000000000
χ554444-44-44-4-4-244-4-4-2-2-200-44002-2222-2-2-222000000002-20000000000000000000000000000000000
χ564444-44-44-4-4-2-4-444-2-2-2004-4002-2222-222-2-200000000-220000000000000000000000000000000000
χ5744-4-444-4-4-44400004-4-400000044-44-4-4000000000000000000000000000000000000000000000000
χ5844-4-444-4-4-44-20000-222000000-2-22-222000000−2i32i300−2i32i3000000000000000000000000000000000000
χ5944-4-444-4-4-44-20000-222000000-2-22-2220000002i3−2i3002i3−2i3000000000000000000000000000000000000
χ6044-4-44-4-444-4-20000-2224i−4i004i−4i-22-222-200000000−2i2i0000−2i2i00000000000000000000000000000000
χ6144-4-44-4-444-4-20000-222−4i4i00−4i4i-22-222-2000000002i−2i00002i−2i00000000000000000000000000000000
χ6244-4-4-444-44-4-20000-2224i−4i00−4i4i2-2-22-2200000000−2i2i00002i−2i00000000000000000000000000000000
χ6344-4-4-444-44-4-20000-222−4i4i004i−4i2-2-22-22000000002i−2i0000−2i2i00000000000000000000000000000000
χ6444-4-4-4-444-44400004-4-4000000-4-4-4444000000000000000000000000000000000000000000000000
χ6544-4-4-4-444-44-20000-222000000222-2-2-2000000−2i32i3002i3−2i3000000000000000000000000000000000000
χ6644-4-4-4-444-44-20000-222000000222-2-2-20000002i3−2i300−2i32i3000000000000000000000000000000000000
χ674-44-40000004004i−4i-44-4000000000000004i−4i0000000000002-22-22i−2i2i−2i000000000000000000000000
χ684-44-40000004004i−4i-44-4000000000000004i−4i000000000000-22-22−2i2i−2i2i000000000000000000000000
χ694-44-4000000400−4i4i-44-400000000000000−4i4i0000000000002-22-2−2i2i−2i2i000000000000000000000000
χ704-44-4000000400−4i4i-44-400000000000000−4i4i000000000000-22-222i−2i2i−2i000000000000000000000000
χ714-4-4400000044-400-4-440000000000004-4000000000000002-2-222-2-22000000000000000000000000
χ724-4-4400000044-400-4-440000000000004-400000000000000-222-2-222-2000000000000000000000000
χ734-4-440000004-4400-4-44000000000000-44000000000000002-2-22-222-2000000000000000000000000
χ744-4-440000004-4400-4-44000000000000-4400000000000000-222-22-2-22000000000000000000000000
χ758-88-8000000-4008i−8i4-4400000000000000−4i4i00000000000000000000000000000000000000000000
χ768-88-8000000-400−8i8i4-44000000000000004i−4i00000000000000000000000000000000000000000000
χ778-8-88000000-48-80044-4000000000000-440000000000000000000000000000000000000000000000
χ788-8-88000000-4-880044-40000000000004-40000000000000000000000000000000000000000000000

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