Finite Group Databasebeta

← Group #10945083

Character table — Group #10945083

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444444444668888888888888888881212121212121212121212121212121616161616161616162424484848
order12222222223666224444444444666666444466121212121212121212121212121222444444444444444412121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-11-1-111-1-1-1-1111-1-1
χ61111111111111111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-11111-1-1-111
χ71111111111111111-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-111111-1-111-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11111-111-1-11111111-1-1
χ911111111111111-1-111-1-1-1-111-1-11111111111-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-111-1-1-11-1-1-111-1-111-11-1
χ1011111111111111-1-111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-111-1-11-1111-1-111-1-11-11
χ1111111111111111-1-111-1-1-1-111-1-1111111-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-111-1-111-11-1-1-111-1-1-1-11-11
χ1211111111111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1111-1111-1-11111-11-1
χ1311111111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111111-1-1-1-111-1-11-1-1-1-11111-1-11
χ1411111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-11111-1-1-1-111-1
χ1511111111111111-1-1-1-111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-11111-1-1-1-11-1-1-1-111-1-111-1
χ1611111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-1-111-11111-1-111-1-11
χ172222222222-1-1-1-1222222222222-1-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222-1-1-1-1-1-100000
χ182222222222-1-1-1-1222222222222-1-1-1-1-1-100-2-2-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000-2-2-211111100000
χ192222222222-1-1-1-122-2-2-2-222-2-2-2-2-1-1-1-1-1-10022-1-111111111-1-1-1-1-1-10000000000000002-2-2-1-1111100000
χ202222222222-1-1-1-122-2-2-2-222-2-2-2-2-1-1-1-1-1-100-2-2-1-111111111-1-11111000000000000000-22211-1-1-1-100000
χ212222222222-1-1-1-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1002211-1-1-1-1111111-1-1-1-1000000000000000-22-211-1-11100000
χ222222222222-1-1-1-1-2-222-2-2-2-222-2-2-1-1-1-1-1-100-2-211-1-1-1-111111111110000000000000002-22-1-111-1-100000
χ232222222222-1-1-1-1-2-2-2-222-2-2-2-222-1-1-1-1-1-10022111111-1-1-1-111-1-1-1-1000000000000000-2-221111-1-100000
χ242222222222-1-1-1-1-2-2-2-222-2-2-2-222-1-1-1-1-1-100-2-2111111-1-1-1-111111100000000000000022-2-1-1-1-11100000
χ2522222-2-22-2-222220000220000-2-22-2-22-2-2220000000022-2-20000000000-2-22-2-200002200000000000000
χ2622222-2-22-2-222220000220000-2-22-2-22-2-2-2-20000000022-2-2000000000022-2220000-2-200000000000000
χ2722222-2-22-2-222220000-2-20000222-2-22-2-22200000000-2-2220000000000222-2-20000-2-200000000000000
χ2822222-2-22-2-222220000-2-20000222-2-22-2-2-2-200000000-2-2220000000000-2-2-22200002200000000000000
χ292222-22-2-22-2222200220000-2-200-22-2-22-222000022-2-2000000000000-2-200-22-200220000000000000000
χ302222-22-2-22-2222200220000-2-200-22-2-22-2-2-2000022-2-200000000000022002-2200-2-20000000000000000
χ312222-22-2-22-2222200-2-200002200-22-2-22-2220000-2-2220000000000002200-22-200-2-20000000000000000
χ322222-22-2-22-2222200-2-200002200-22-2-22-2-2-20000-2-222000000000000-2-2002-2200220000000000000000
χ332222-2-22-2-222222220000-2-20000-2-22-2-2222002200000000-2-20000-2-20000-2-2222000000000000000000
χ342222-2-22-2-222222220000-2-20000-2-22-2-22-2-2002200000000-2-2000022000022-2-2-2000000000000000000
χ352222-2-22-2-222222-2-20000220000-2-22-2-222200-2-200000000220000220000-2-22-2-2000000000000000000
χ362222-2-22-2-222222-2-20000220000-2-22-2-22-2-200-2-200000000220000-2-2000022-222000000000000000000
χ372-22-2222-2-2-22-2-222-200002-20000-2-2-222200002-2000000002-20000002i−2i2i−2i000002i−2i2i−2i00000000000000
χ382-22-2222-2-2-22-2-222-200002-20000-2-2-222200002-2000000002-2000000−2i2i−2i2i00000−2i2i−2i2i00000000000000
χ392-22-2222-2-2-22-2-22-220000-220000-2-2-22220000-2200000000-220000002i−2i−2i2i000002i−2i−2i2i00000000000000
χ402-22-2222-2-2-22-2-22-220000-220000-2-2-22220000-2200000000-22000000−2i2i2i−2i00000−2i2i2i−2i00000000000000
χ412-22-22-2-2-2222-2-22002i−2i00002i−2i00-2222-2-20000002i−2i2i−2i00000000002-2002i−2i0002-200−2i2i00000000000000
χ422-22-22-2-2-2222-2-22002i−2i00002i−2i00-2222-2-20000002i−2i2i−2i0000000000-2200−2i2i000-22002i−2i00000000000000
χ432-22-22-2-2-2222-2-2200−2i2i0000−2i2i00-2222-2-2000000−2i2i−2i2i00000000002-200−2i2i0002-2002i−2i00000000000000
χ442-22-22-2-2-2222-2-2200−2i2i0000−2i2i00-2222-2-2000000−2i2i−2i2i0000000000-22002i−2i000-2200−2i2i00000000000000
χ452-22-2-22-22-222-2-2200002i−2i00002i−2i2-22-22-200000000002i−2i2i−2i0000002-22i−2i00000-22−2i2i0000000000000000
χ462-22-2-22-22-222-2-2200002i−2i00002i−2i2-22-22-200000000002i−2i2i−2i000000-22−2i2i000002-22i−2i0000000000000000
χ472-22-2-22-22-222-2-220000−2i2i0000−2i2i2-22-22-20000000000−2i2i−2i2i0000002-2−2i2i00000-222i−2i0000000000000000
χ482-22-2-22-22-222-2-220000−2i2i0000−2i2i2-22-22-20000000000−2i2i−2i2i000000-222i−2i000002-2−2i2i0000000000000000
χ492-22-2-2-2222-22-2-222-22i−2i−2i2i-22−2i2i2i−2i22-2-2-2200002-22i−2i−2i2i−2i2i2i−2i-22000000000000000000000000000000000
χ502-22-2-2-2222-22-2-222-2−2i2i2i−2i-222i−2i−2i2i22-2-2-2200002-2−2i2i2i−2i2i−2i−2i2i-22000000000000000000000000000000000
χ512-22-2-2-2222-22-2-22-222i−2i2i−2i2-2−2i2i−2i2i22-2-2-220000-222i−2i−2i2i2i−2i−2i2i2-2000000000000000000000000000000000
χ522-22-2-2-2222-22-2-22-22−2i2i−2i2i2-22i−2i2i−2i22-2-2-220000-22−2i2i2i−2i−2i2i2i−2i2-2000000000000000000000000000000000
χ532-22-2-2-2222-2-111-12-22i−2i−2i2i-22−2i2i2i−2i-1-1111-10000-11−iii−ii−i−ii1-1−i3−i3i3i3000000000000000000−i3i33−33−300000
χ542-22-2-2-2222-2-111-12-22i−2i−2i2i-22−2i2i2i−2i-1-1111-10000-11−iii−ii−i−ii1-1i3i3−i3−i3000000000000000000i3−i3−33−3300000
χ552-22-2-2-2222-2-111-12-2−2i2i2i−2i-222i−2i−2i2i-1-1111-10000-11i−i−ii−iii−i1-1−i3−i3i3i3000000000000000000−i3i3−33−3300000
χ562-22-2-2-2222-2-111-12-2−2i2i2i−2i-222i−2i−2i2i-1-1111-10000-11i−i−ii−iii−i1-1i3i3−i3−i3000000000000000000i3−i33−33−300000
χ572-22-2-2-2222-2-111-1-222i−2i2i−2i2-2−2i2i−2i2i-1-1111-100001-1−iii−i−iii−i-11−i3−i3i3i3000000000000000000i3−i33−3−3300000
χ582-22-2-2-2222-2-111-1-222i−2i2i−2i2-2−2i2i−2i2i-1-1111-100001-1−iii−i−iii−i-11i3i3−i3−i3000000000000000000−i3i3−333−300000
χ592-22-2-2-2222-2-111-1-22−2i2i−2i2i2-22i−2i2i−2i-1-1111-100001-1i−i−iii−i−ii-11−i3−i3i3i3000000000000000000i3−i3−333−300000
χ602-22-2-2-2222-2-111-1-22−2i2i−2i2i2-22i−2i2i−2i-1-1111-100001-1i−i−iii−i−ii-11i3i3−i3−i3000000000000000000−i3i33−3−3300000
χ6144444-4-44-4-4-2-2-2-20000440000-4-4-222-2220000000000-2-22200000000000000000000000000000000000
χ6244444-4-44-4-4-2-2-2-20000-4-4000044-222-222000000000022-2-200000000000000000000000000000000000
χ634444-44-4-44-4-2-2-2-200440000-4-4002-222-22000000-2-222000000000000000000000000000000000000000
χ644444-44-4-44-4-2-2-2-200-4-4000044002-222-2200000022-2-2000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-2-2440000-4-4000022-222-20000-2-20000000022000000000000000000000000000000000
χ664444-4-44-4-44-2-2-2-2-4-4000044000022-222-200002200000000-2-2000000000000000000000000000000000
χ674-44-4444-4-4-4-222-24-400004-40000222-2-2-20000-2200000000-22000000000000000000000000000000000
χ684-44-4444-4-4-4-222-2-440000-440000222-2-2-200002-2000000002-2000000000000000000000000000000000
χ694-44-44-4-4-444-222-2004i−4i00004i−4i002-2-2-222000000−2i2i−2i2i000000000000000000000000000000000000000
χ704-44-44-4-4-444-222-200−4i4i0000−4i4i002-2-2-2220000002i−2i2i−2i000000000000000000000000000000000000000
χ714-44-4-44-44-44-222-200004i−4i00004i−4i-22-22-220000000000−2i2i−2i2i00000000000000000000000000000000000
χ724-44-4-44-44-44-222-20000−4i4i0000−4i4i-22-22-2200000000002i−2i2i−2i00000000000000000000000000000000000
χ734-4-4400000044-4-40000000000000000004i−4i2i−2i0000000000002i−2i2i−2i0000000000000000000000002-2000
χ744-4-4400000044-4-40000000000000000004i−4i−2i2i000000000000−2i2i−2i2i000000000000000000000000-22000
χ754-4-4400000044-4-4000000000000000000−4i4i2i−2i0000000000002i−2i2i−2i000000000000000000000000-22000
χ764-4-4400000044-4-4000000000000000000−4i4i−2i2i000000000000−2i2i−2i2i0000000000000000000000002-2000
χ7788-8-80000008-88-80000000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8000000-44-44000000000000000000000000000000000023−23−232300000000000000000000000000000
χ7988-8-8000000-44-440000000000000000000000000000000000−232323−2300000000000000000000000000000
χ808-8-88000000-4-444000000000000000000004i−4i000000000000−2i2i−2i2i00000000000000000000000000000
χ818-8-88000000-4-44400000000000000000000−4i4i0000000000002i−2i2i−2i00000000000000000000000000000

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