Finite Group Databasebeta

← Group #10944211

Character table — Group #10944211

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444444444668888888888888888881212121212121212121212121212121616161616161616162424484848
order12222234444666444444444444661212121244441212121212121212121212121212121222224444444444448812122424242444288
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
χ51111111111111111-1-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-11-1-1-111-1-111-11-1
χ61111111111111111-1-111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-1-11-1111-1-111-1-11-11
χ71111111111111111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-11-1-1-111-1-1-1-11-11
χ81111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111111-1111-1-11111-11-1
χ911111111111111-1-111-1-111-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-111111-1-111-1-1-1-1-1-11-1-1-1-11111-1-11
χ1011111111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-111-11111-1-1-1-111-1
χ1111111111111111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-111-1-11111-1-11-1-1-1-111-1-111-1
χ1211111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111111-11111-1-111-1-11
χ1311111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-111111-1-111-1-1-1-1111-1-1
χ1411111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111-111-1-11111-1-1-111
χ1511111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-111-1-11111111-1-1
χ172222222-2-2-2-22220000000022-2-222-2-2-2-222000000000022-2-2000000002-2-2000022-2-200000000000000
χ182222222-2-2-2-22220000000022-2-222-2-2-2-2-2-2000000000022-2-200000000-2220000-2-22200000000000000
χ192222222-2-2-2-222200000000-2-22222-2-2-2-2220000000000-2-222000000002-2-20000-2-22200000000000000
χ202222222-2-2-2-222200000000-2-22222-2-2-2-2-2-20000000000-2-22200000000-222000022-2-200000000000000
χ21222222-12222-1-1-1222222222222-1-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000222-1-1-1-1-1-100000
χ22222222-12222-1-1-1222222222222-1-1-1-1-1-100-2-2-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000-2-2-211111100000
χ23222222-12222-1-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-10022-1-1-1-111111111-1-1-1-1000000000000000-22-211-1-11100000
χ24222222-12222-1-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-100-2-2-1-1-1-11111111111110000000000000002-22-1-111-1-100000
χ25222222-12222-1-1-1-2-222-2-222-2-2-2-2-1-1-1-1-1-100221111-1-1-1-11111-1-1-1-1000000000000000-2-221111-1-100000
χ26222222-12222-1-1-1-2-222-2-222-2-2-2-2-1-1-1-1-1-100-2-21111-1-1-1-11111111100000000000000022-2-1-1-1-11100000
χ27222222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1002211111111-1-1-1-1-1-1-1-10000000000000002-2-2-1-1111100000
χ28222222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-100-2-211111111-1-1-1-11111000000000000000-22211-1-1-1-100000
χ292222-2-222-22-2222002200-2-20000-2-22-22-22200000022-2-2000000000022-22-200-2-2000000000000000000
χ302222-2-222-22-2222002200-2-20000-2-22-22-2-2-200000022-2-20000000000-2-22-220022000000000000000000
χ312222-2-222-22-222200-2-200220000-2-22-22-222000000-2-2220000000000-2-2-22-20022000000000000000000
χ322222-2-222-22-222200-2-200220000-2-22-22-2-2-2000000-2-2220000000000222-2200-2-2000000000000000000
χ332222-2-22-22-222222200-2-2000000-2-2-22-22220022-2-20000000000002200-2-22-2-200000000000000000000
χ342222-2-22-22-222222200-2-2000000-2-2-22-22-2-20022-2-2000000000000-2-20022-22200000000000000000000
χ352222-2-22-22-22222-2-20022000000-2-2-22-222200-2-222000000000000-2-200-2-222200000000000000000000
χ362222-2-22-22-22222-2-20022000000-2-2-22-22-2-200-2-222000000000000220022-2-2-200000000000000000000
χ372-22-22-222-2-22-2-22002i−2i002i−2i00002-22-2-22000000002i−2i2i−2i000000002-2000002-2002i−2i2i−2i00000000000000
χ382-22-22-222-2-22-2-22002i−2i002i−2i00002-22-2-22000000002i−2i2i−2i00000000-2200000-2200−2i2i−2i2i00000000000000
χ392-22-22-222-2-22-2-2200−2i2i00−2i2i00002-22-2-2200000000−2i2i−2i2i000000002-2000002-200−2i2i−2i2i00000000000000
χ402-22-22-222-2-22-2-2200−2i2i00−2i2i00002-22-2-2200000000−2i2i−2i2i00000000-2200000-22002i−2i2i−2i00000000000000
χ412-22-22-22-222-2-2-222i−2i002i−2i0000002-2-222-200002i−2i2i−2i000000000000002-2000002-22i−2i−2i2i00000000000000
χ422-22-22-22-222-2-2-222i−2i002i−2i0000002-2-222-200002i−2i2i−2i00000000000000-2200000-22−2i2i2i−2i00000000000000
χ432-22-22-22-222-2-2-22−2i2i00−2i2i0000002-2-222-20000−2i2i−2i2i000000000000002-2000002-2−2i2i2i−2i00000000000000
χ442-22-22-22-222-2-2-22−2i2i00−2i2i0000002-2-222-20000−2i2i−2i2i00000000000000-2200000-222i−2i−2i2i00000000000000
χ452-22-2-22222-2-2-2-222i−2i2i−2i−2i2i−2i2i2-22-2-2222-2-200002i−2i−2i2i2i−2i−2i2i2-22-2000000000000000000000000000000000
χ462-22-2-22222-2-2-2-222i−2i−2i2i−2i2i2i−2i-22-22-2222-2-200002i−2i−2i2i−2i2i2i−2i-22-22000000000000000000000000000000000
χ472-22-2-22222-2-2-2-22−2i2i2i−2i2i−2i−2i2i-22-22-2222-2-20000−2i2i2i−2i2i−2i−2i2i-22-22000000000000000000000000000000000
χ482-22-2-22222-2-2-2-22−2i2i−2i2i2i−2i2i−2i2-22-2-2222-2-20000−2i2i2i−2i−2i2i2i−2i2-22-2000000000000000000000000000000000
χ492-22-2-222-2-222-2-22000000002-2-22-22-2-2220000000000002-2-2200002-22-2000-22-22000000000000000000
χ502-22-2-222-2-222-2-22000000002-2-22-22-2-2220000000000002-2-220000-22-220002-22-2000000000000000000
χ512-22-2-222-2-222-2-2200000000-222-2-22-2-222000000000000-222-200002-2-22000-222-2000000000000000000
χ522-22-2-222-2-222-2-2200000000-222-2-22-2-222000000000000-222-20000-222-20002-2-22000000000000000000
χ532-22-2-22-122-2-211-12i−2i2i−2i−2i2i−2i2i2-22-21-1-1-1110000−iii−i−iii−i-11-11−i3−i3i3i3000000000000000000−i3i33−33−300000
χ542-22-2-22-122-2-211-12i−2i2i−2i−2i2i−2i2i2-22-21-1-1-1110000−iii−i−iii−i-11-11i3i3−i3−i3000000000000000000i3−i3−33−3300000
χ552-22-2-22-122-2-211-12i−2i−2i2i−2i2i2i−2i-22-221-1-1-1110000−iii−ii−i−ii1-11-1−i3−i3i3i3000000000000000000i3−i33−3−3300000
χ562-22-2-22-122-2-211-12i−2i−2i2i−2i2i2i−2i-22-221-1-1-1110000−iii−ii−i−ii1-11-1i3i3−i3−i3000000000000000000−i3i3−333−300000
χ572-22-2-22-122-2-211-1−2i2i2i−2i2i−2i−2i2i-22-221-1-1-1110000i−i−ii−iii−i1-11-1−i3−i3i3i3000000000000000000i3−i3−333−300000
χ582-22-2-22-122-2-211-1−2i2i2i−2i2i−2i−2i2i-22-221-1-1-1110000i−i−ii−iii−i1-11-1i3i3−i3−i3000000000000000000−i3i33−3−3300000
χ592-22-2-22-122-2-211-1−2i2i−2i2i2i−2i2i−2i2-22-21-1-1-1110000i−i−iii−i−ii-11-11−i3−i3i3i3000000000000000000−i3i3−33−3300000
χ602-22-2-22-122-2-211-1−2i2i−2i2i2i−2i2i−2i2-22-21-1-1-1110000i−i−iii−i−ii-11-11i3i3−i3−i3000000000000000000i3−i33−33−300000
χ61444444-2-4-4-4-4-2-2-20000000044-4-4-2-22222000000000000-2-222000000000000000000000000000000000
χ62444444-2-4-4-4-4-2-2-200000000-4-444-2-2222200000000000022-2-2000000000000000000000000000000000
χ634444-4-4-24-44-4-2-2-2004400-4-4000022-22-2200000000-2-2220000000000000000000000000000000000000
χ644444-4-4-24-44-4-2-2-200-4-40044000022-22-220000000022-2-20000000000000000000000000000000000000
χ654444-4-4-2-44-44-2-2-24400-4-4000000222-22-20000-2-22200000000000000000000000000000000000000000
χ664444-4-4-2-44-44-2-2-2-4-40044000000222-22-2000022-2-200000000000000000000000000000000000000000
χ674-44-44-4-24-4-4422-2004i−4i004i−4i0000-22-222-200000000−2i2i−2i2i0000000000000000000000000000000000000
χ684-44-44-4-24-4-4422-200−4i4i00−4i4i0000-22-222-2000000002i−2i2i−2i0000000000000000000000000000000000000
χ694-44-44-4-2-444-422-24i−4i004i−4i000000-222-2-220000−2i2i−2i2i00000000000000000000000000000000000000000
χ704-44-44-4-2-444-422-2−4i4i00−4i4i000000-222-2-2200002i−2i2i−2i00000000000000000000000000000000000000000
χ714-44-4-44-2-4-44422-2000000004-4-442-222-2-2000000000000-222-2000000000000000000000000000000000
χ724-44-4-44-2-4-44422-200000000-444-42-222-2-20000000000002-2-22000000000000000000000000000000000
χ734-4-4400400004-4-40000000000000000004i−4i2-20000000000002-22-20000000000000000000000002i−2i000
χ744-4-4400400004-4-40000000000000000004i−4i-22000000000000-22-22000000000000000000000000−2i2i000
χ754-4-4400400004-4-4000000000000000000−4i4i2-20000000000002-22-2000000000000000000000000−2i2i000
χ764-4-4400400004-4-4000000000000000000−4i4i-22000000000000-22-220000000000000000000000002i−2i000
χ7788-8-80080000-88-80000000000000000000000000000000000000000000000000000000000000000000
χ7888-8-800-400004-440000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000
χ7988-8-800-400004-4400000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000
χ808-8-8800-40000-444000000000000000000004-4000000000000-22-2200000000000000000000000000000
χ818-8-8800-40000-44400000000000000000000-440000000000002-22-200000000000000000000000000000

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