Finite Group Databasebeta

← Group #10944210

Character table — Group #10944210

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444444444668888888888888888881212121212121212121212121212121616161616161616162424484848
order122222344446662244444444446612121212444466121212121212121212121212121222444444444444448812122424242444288
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
χ51111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-11111111-1-1-1-1-1-1-11-1-1-111-1-111-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-1-1-1-1-1-11-1111-1-111-1-11-11
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111-11-1-1-111-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-11111111-1111-1-11111-11-1
χ911111111111111-1-11111-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111-1-111-1-111-1-1-1-1-1-11-1-1-1-11111-1-11
χ1011111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-111-11111-1-1-1-111-1
χ1111111111111111-1-11111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11111-1-1-111-1-111-1-11111-1-11-1-1-1-111-1-111-1
χ1211111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-11111-1-111-1-11
χ1311111111111111-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-11111-1-11111-1-11-1-111-1-1-1-111111-1-111-1-1-1-1111-1-1
χ1411111111111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-111-1-11111-1-1-111
χ1511111111111111-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-1-1-11111-1-1111111-111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-111
χ1611111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-111-1-11111-1-1-1-1-111-1-11111111-1-1
χ172222222-2-2-2-222200000022-2-20022-2-2-2-2220000000022-2-200000000200-2-2000022-2-200000000000000
χ182222222-2-2-2-222200000022-2-20022-2-2-2-2-2-20000000022-2-200000000-200220000-2-22200000000000000
χ192222222-2-2-2-2222000000-2-2220022-2-2-2-22200000000-2-22200000000200-2-20000-2-22200000000000000
χ202222222-2-2-2-2222000000-2-2220022-2-2-2-2-2-200000000-2-22200000000-20022000022-2-200000000000000
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
χ23222222-12222-1-1-122-2-2-2-2-2-2-2-222-1-1-1-1-1-10022-1-111111111-1-1-1-1-1-1000000000000000-22-211-1-11100000
χ24222222-12222-1-1-122-2-2-2-2-2-2-2-222-1-1-1-1-1-100-2-2-1-111111111-1-111110000000000000002-22-1-111-1-100000
χ25222222-12222-1-1-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-1002211-1-1-1-1111111-1-1-1-1000000000000000-2-221111-1-100000
χ26222222-12222-1-1-1-2-22222-2-2-2-2-2-2-1-1-1-1-1-100-2-211-1-1-1-1111111111100000000000000022-2-1-1-1-11100000
χ27222222-12222-1-1-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-10022111111-1-1-1-111-1-1-1-10000000000000002-2-2-1-1111100000
χ28222222-12222-1-1-1-2-2-2-2-2-22222-2-2-1-1-1-1-1-100-2-2111111-1-1-1-1111111000000000000000-22211-1-1-1-100000
χ292222-2-222-22-22220022-2-2000000-2-22-22-222000022-2-2000000000022-2002-200-2-2000000000000000000
χ302222-2-222-22-22220022-2-2000000-2-22-22-2-2-2000022-2-20000000000-2-2200-220022000000000000000000
χ312222-2-222-22-222200-2-222000000-2-22-22-2220000-2-2220000000000-2-2-2002-20022000000000000000000
χ322222-2-222-22-222200-2-222000000-2-22-22-2-2-20000-2-222000000000022200-2200-2-2000000000000000000
χ332222-2-22-22-222222200000000-2-2-2-2-22-2222002200000000-2-2000000-222-22-2-200000000000000000000
χ342222-2-22-22-222222200000000-2-2-2-2-22-22-2-2002200000000-2-20000002-2-22-22200000000000000000000
χ352222-2-22-22-22222-2-20000000022-2-2-22-222200-2-20000000022000000-2-2-2-222200000000000000000000
χ362222-2-22-22-22222-2-20000000022-2-2-22-22-2-200-2-200000000220000002222-2-2-200000000000000000000
χ372-2-222-222-2-22-2-222-22i−2i2i−2i2i−2i2i−2i2-22-22-2-2200002-22i−2i2i−2i2i−2i2i−2i2-2000000000000000000000000000000000
χ382-2-222-222-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i2-22-22-2-2200002-2−2i2i−2i2i−2i2i−2i2i2-2000000000000000000000000000000000
χ392-2-222-222-2-22-2-22-222i−2i2i−2i−2i2i−2i2i-222-22-2-220000-222i−2i2i−2i−2i2i−2i2i-22000000000000000000000000000000000
χ402-2-222-222-2-22-2-22-22−2i2i−2i2i2i−2i2i−2i-222-22-2-220000-22−2i2i−2i2i2i−2i2i−2i-22000000000000000000000000000000000
χ412-2-222-22-222-2-2-220000002i−2i−2i2i002-2-222-200000000002i−2i−2i2i0000002-202i−2i002i−2i2-2000000000000000000
χ422-2-222-22-222-2-2-220000002i−2i−2i2i002-2-222-200000000002i−2i−2i2i000000-220−2i2i00−2i2i-22000000000000000000
χ432-2-222-22-222-2-2-22000000−2i2i2i−2i002-2-222-20000000000−2i2i2i−2i0000002-20−2i2i00−2i2i2-2000000000000000000
χ442-2-222-22-222-2-2-22000000−2i2i2i−2i002-2-222-20000000000−2i2i2i−2i000000-2202i−2i002i−2i-22000000000000000000
χ452-2-222-2-12-2-2211-12-22i−2i2i−2i2i−2i2i−2i2-2-11-111-10000-11−ii−ii−ii−ii-1133−3−3000000000000000000−i3i33−3−i3i300000
χ462-2-222-2-12-2-2211-12-22i−2i2i−2i2i−2i2i−2i2-2-11-111-10000-11−ii−ii−ii−ii-11−3−333000000000000000000i3−i3−33i3−i300000
χ472-2-222-2-12-2-2211-12-2−2i2i−2i2i−2i2i−2i2i2-2-11-111-10000-11i−ii−ii−ii−i-1133−3−3000000000000000000i3−i33−3i3−i300000
χ482-2-222-2-12-2-2211-12-2−2i2i−2i2i−2i2i−2i2i2-2-11-111-10000-11i−ii−ii−ii−i-11−3−333000000000000000000−i3i3−33−i3i300000
χ492-2-222-2-12-2-2211-1-222i−2i2i−2i−2i2i−2i2i-22-11-111-100001-1−ii−iii−ii−i1-133−3−3000000000000000000i3−i3−33−i3i300000
χ502-2-222-2-12-2-2211-1-222i−2i2i−2i−2i2i−2i2i-22-11-111-100001-1−ii−iii−ii−i1-1−3−333000000000000000000−i3i33−3i3−i300000
χ512-2-222-2-12-2-2211-1-22−2i2i−2i2i2i−2i2i−2i-22-11-111-100001-1i−ii−i−ii−ii1-133−3−3000000000000000000−i3i3−33i3−i300000
χ522-2-222-2-12-2-2211-1-22−2i2i−2i2i2i−2i2i−2i-22-11-111-100001-1i−ii−i−ii−ii1-1−3−333000000000000000000i3−i33−3−i3i300000
χ532-2-22-22222-2-2-2-22002i−2i−2i2i000000-2222-2-20000002i−2i−2i2i00000000000002i−2i00−2i2i002-22-200000000000000
χ542-2-22-22222-2-2-2-22002i−2i−2i2i000000-2222-2-20000002i−2i−2i2i0000000000000−2i2i002i−2i00-22-2200000000000000
χ552-2-22-22222-2-2-2-2200−2i2i2i−2i000000-2222-2-2000000−2i2i2i−2i00000000000002i−2i00−2i2i00-22-2200000000000000
χ562-2-22-22222-2-2-2-2200−2i2i2i−2i000000-2222-2-2000000−2i2i2i−2i0000000000000−2i2i002i−2i002-22-200000000000000
χ572-2-22-222-2-222-2-222-200000000-22-22-2-22200002-200000000-2200002-20000000-222-2-2200000000000000
χ582-2-22-222-2-222-2-222-200000000-22-22-2-22200002-200000000-220000-2200000002-2-222-200000000000000
χ592-2-22-222-2-222-2-22-22000000002-2-22-2-2220000-22000000002-200002-20000000-22-222-200000000000000
χ602-2-22-222-2-222-2-22-22000000002-2-22-2-2220000-22000000002-20000-2200000002-22-2-2200000000000000
χ61444444-2-4-4-4-4-2-2-200000044-4-400-2-222220000000000-2-22200000000000000000000000000000000000
χ62444444-2-4-4-4-4-2-2-2000000-4-44400-2-22222000000000022-2-200000000000000000000000000000000000
χ634444-4-4-24-44-4-2-2-20044-4-400000022-22-22000000-2-222000000000000000000000000000000000000000
χ644444-4-4-24-44-4-2-2-200-4-44400000022-22-2200000022-2-2000000000000000000000000000000000000000
χ654444-4-4-2-44-44-2-2-24400000000-4-4222-22-20000-2-20000000022000000000000000000000000000000000
χ664444-4-4-2-44-44-2-2-2-4-40000000044222-22-200002200000000-2-2000000000000000000000000000000000
χ674-44-40040000-44-40000000000000000004i−4i2i−2i0000000000002i−2i2i−2i0000000000000000000000002-2000
χ684-44-40040000-44-40000000000000000004i−4i−2i2i000000000000−2i2i−2i2i000000000000000000000000-22000
χ694-44-40040000-44-4000000000000000000−4i4i2i−2i0000000000002i−2i2i−2i000000000000000000000000-22000
χ704-44-40040000-44-4000000000000000000−4i4i−2i2i000000000000−2i2i−2i2i0000000000000000000000002-2000
χ714-4-444-4-2-444-422-20000004i−4i−4i4i00-222-2-220000000000−2i2i2i−2i00000000000000000000000000000000000
χ724-4-444-4-2-444-422-2000000−4i4i4i−4i00-222-2-2200000000002i−2i−2i2i00000000000000000000000000000000000
χ734-4-44-44-244-4-422-2004i−4i−4i4i0000002-2-2-222000000−2i2i2i−2i000000000000000000000000000000000000000
χ744-4-44-44-244-4-422-200−4i4i4i−4i0000002-2-2-2220000002i−2i−2i2i000000000000000000000000000000000000000
χ754-4-44-44-2-4-44422-24-400000000-442-222-2-20000-22000000002-2000000000000000000000000000000000
χ764-4-44-44-2-4-44422-2-44000000004-42-222-2-200002-200000000-22000000000000000000000000000000000
χ7788-8-800800008-8-80000000000000000000000000000000000000000000000000000000000000000000
χ7888-8-800-40000-4440000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000
χ7988-8-800-40000-44400000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000
χ808-88-800-400004-44000000000000000000004i−4i000000000000−2i2i−2i2i00000000000000000000000000000
χ818-88-800-400004-4400000000000000000000−4i4i0000000000002i−2i2i−2i00000000000000000000000000000

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