Finite Group Databasebeta

← Group #10943898

Character table — Group #10943898

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444444444444668888888888888888881212121212121212121212121212121616161616161616162424484848
order12222234444666222244444444661212121244446666121212121212121212121212222222222244444266882424242444488
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
χ51111111111111111-1-111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-11-111-1-111-11-1
χ61111111111111111-1-111-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1111-11-1-111-1-11-11
χ71111111111111111-1-111-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-1-1-11-111-1-1-1-11-11
χ81111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111111-11-1-11111-11-1
χ911111111111111-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-11-1-111-1-1-1-11-1-11111-1-11
χ1011111111111111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1111111-111-1-1-1-111-1
χ1111111111111111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-11111-1-111-1-11111-111-1-1-1-1-1-11-1-111-1-111-1
χ1211111111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-11111-111-1-111-1-11
χ1311111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111-1-1-1-1111-1-1-1-1-1-1111-1-1
χ1411111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1111111-1-1-111
χ1511111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-11111111-1-1-1-1-1-1-1-1-111
χ1611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-11111-1-1-1111111111-1-1
χ172222222-2-2-2-22220000000022-2-222-2-2-2-222000000000022-2-20000-2-2000022-2-22000000000000000000
χ182222222-2-2-2-22220000000022-2-222-2-2-2-2-2-2000000000022-2-20000220000-2-222-2000000000000000000
χ192222222-2-2-2-222200000000-2-22222-2-2-2-2220000000000-2-2220000-2-20000-2-2222000000000000000000
χ202222222-2-2-2-222200000000-2-22222-2-2-2-2-2-20000000000-2-222000022000022-2-2-2000000000000000000
χ21222222-12222-1-1-1222222222222-1-1-1-1-1-10022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000002-1-122-1-1-1-100000
χ22222222-12222-1-1-1222222222222-1-1-1-1-1-100-2-2-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000-211-2-2111100000
χ23222222-12222-1-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-10022-1-111-1-1111111-1-1-1-1000000000000000-2112-2-1-11100000
χ24222222-12222-1-1-122-2-222-2-2-2-2-2-2-1-1-1-1-1-100-2-2-1-111-1-111111111110000000000000002-1-1-2211-1-100000
χ25222222-12222-1-1-1-2-222-2-222-2-2-2-2-1-1-1-1-1-1002211-1-111-1-11111-1-1-1-1000000000000000-211-2211-1-100000
χ26222222-12222-1-1-1-2-222-2-222-2-2-2-2-1-1-1-1-1-100-2-211-1-111-1-1111111110000000000000002-1-12-2-1-11100000
χ27222222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1002211111111-1-1-1-1-1-1-1-10000000000000002-1-1-2-2111100000
χ28222222-12222-1-1-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-100-2-211111111-1-1-1-11111000000000000000-21122-1-1-1-100000
χ292222-2-222-22-2222002200-2-20000-2-22-22-22200002200-2-2000000002-200-2-20000-2002200000000000000
χ302222-2-222-22-2222002200-2-20000-2-22-22-2-2-200002200-2-200000000-2200220000200-2-200000000000000
χ312222-2-222-22-222200-2-200220000-2-22-22-2220000-2-20022000000002-200220000-200-2-200000000000000
χ322222-2-222-22-222200-2-200220000-2-22-22-2-2-20000-2-2002200000000-2200-2-200002002200000000000000
χ332222-2-22-22-222222200-2-2000000-2-2-22-2222002200-2-20000000000-22-2-2000000-2220000000000000000
χ342222-2-22-22-222222200-2-2000000-2-2-22-22-2-2002200-2-200000000002-2220000002-2-20000000000000000
χ352222-2-22-22-22222-2-20022000000-2-2-22-222200-2-200220000000000-2222000000-2-2-20000000000000000
χ362222-2-22-22-22222-2-20022000000-2-2-22-22-2-200-2-2002200000000002-2-2-20000002220000000000000000
χ372-2-222-2222-2-2-2-222-22-22-22-22-22-2-22-2-22200002-22-22-22-22-22-2000000000000000000000000000000000
χ382-2-222-2222-2-2-2-222-2-222-2-22-22-22-22-2-22200002-2-222-2-22-22-22000000000000000000000000000000000
χ392-2-222-2222-2-2-2-22-222-2-222-2-22-22-22-2-2220000-222-2-222-2-22-22000000000000000000000000000000000
χ402-2-222-2222-2-2-2-22-22-22-22-222-22-2-22-2-2220000-22-22-22-222-22-2000000000000000000000000000000000
χ412-2-222-22-2-222-2-22000000002-2-22-2222-2-20000000000002-2-220000002-22-2000002-22-200000000000000
χ422-2-222-22-2-222-2-22000000002-2-22-2222-2-20000000000002-2-22000000-22-2200000-22-2200000000000000
χ432-2-222-22-2-222-2-2200000000-222-2-2222-2-2000000000000-222-20000002-2-22000002-2-2200000000000000
χ442-2-222-22-2-222-2-2200000000-222-2-2222-2-2000000000000-222-2000000-222-200000-222-200000000000000
χ452-2-222-2-122-2-211-12-22-22-22-22-22-21-111-1-10000-11-11-11-11-11-11−i3−i3i3i30000000000000000−i3i300−i3i3−i3i300000
χ462-2-222-2-122-2-211-12-22-22-22-22-22-21-111-1-10000-11-11-11-11-11-11i3i3−i3−i30000000000000000i3−i300i3−i3i3−i300000
χ472-2-222-2-122-2-211-12-2-222-2-22-22-221-111-1-10000-111-1-111-11-11-1−i3−i3i3i30000000000000000i3−i300−i3i3i3−i300000
χ482-2-222-2-122-2-211-12-2-222-2-22-22-221-111-1-10000-111-1-111-11-11-1i3i3−i3−i30000000000000000−i3i300i3−i3−i3i300000
χ492-2-222-2-122-2-211-1-222-2-222-2-22-221-111-1-100001-1-111-1-111-11-1−i3−i3i3i30000000000000000i3−i300i3−i3−i3i300000
χ502-2-222-2-122-2-211-1-222-2-222-2-22-221-111-1-100001-1-111-1-111-11-1i3i3−i3−i30000000000000000−i3i300−i3i3i3−i300000
χ512-2-222-2-122-2-211-1-22-22-22-222-22-21-111-1-100001-11-11-11-1-11-11−i3−i3i3i30000000000000000−i3i300i3−i3i3−i300000
χ522-2-222-2-122-2-211-1-22-22-22-222-22-21-111-1-100001-11-11-11-1-11-11i3i3−i3−i30000000000000000i3−i300−i3i3−i3i300000
χ532-2-22-2222-2-22-2-22002-200-2200002-2-222-20000002-200-2200000000002-2002-22-20-220000000000000000
χ542-2-22-2222-2-22-2-22002-200-2200002-2-222-20000002-200-220000000000-2200-22-2202-20000000000000000
χ552-2-22-2222-2-22-2-2200-22002-200002-2-222-2000000-22002-200000000002-200-22-220-220000000000000000
χ562-2-22-2222-2-22-2-2200-22002-200002-2-222-2000000-22002-20000000000-22002-22-202-20000000000000000
χ572-2-22-222-222-2-2-222-200-220000002-22-2-2200002-200-22000000000000002-22-2-22000-2200000000000000
χ582-2-22-222-222-2-2-222-200-220000002-22-2-2200002-200-2200000000000000-22-222-20002-200000000000000
χ592-2-22-222-222-2-2-22-22002-20000002-22-2-220000-22002-2000000000000002-2-222-2000-2200000000000000
χ602-2-22-222-222-2-2-22-22002-20000002-22-2-220000-22002-200000000000000-222-2-220002-200000000000000
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
χ634444-4-4-24-44-4-2-2-2004400-4-4000022-22-22000000-2-200220000000000000000000000000000000000000
χ644444-4-4-24-44-4-2-2-200-4-40044000022-22-220000002200-2-20000000000000000000000000000000000000
χ654444-4-4-2-44-44-2-2-24400-4-4000000222-22-20000-2-20022000000000000000000000000000000000000000
χ664444-4-4-2-44-44-2-2-2-4-40044000000222-22-200002200-2-2000000000000000000000000000000000000000
χ6744-4-400400004-4-40000000000000000004i−4i2i−2i0000000000002i−2i2i−2i0000000000000000000000002-2000
χ6844-4-400400004-4-40000000000000000004i−4i−2i2i000000000000−2i2i−2i2i000000000000000000000000-22000
χ6944-4-400400004-4-4000000000000000000−4i4i2i−2i0000000000002i−2i2i−2i000000000000000000000000-22000
χ7044-4-400400004-4-4000000000000000000−4i4i−2i2i000000000000−2i2i−2i2i0000000000000000000000002-2000
χ714-4-444-4-2-4-44422-2000000004-4-442-2-2-222000000000000-222-2000000000000000000000000000000000
χ724-4-444-4-2-4-44422-200000000-444-42-2-2-2220000000000002-2-22000000000000000000000000000000000
χ734-4-44-44-24-4-4422-2004-400-440000-222-2-22000000-22002-20000000000000000000000000000000000000
χ744-4-44-44-24-4-4422-200-44004-40000-222-2-220000002-200-220000000000000000000000000000000000000
χ754-4-44-44-2-444-422-24-400-44000000-22-222-20000-22002-2000000000000000000000000000000000000000
χ764-4-44-44-2-444-422-2-44004-4000000-22-222-200002-200-22000000000000000000000000000000000000000
χ7788-8-800-40000-444000000000000000000004i−4i000000000000−2i2i−2i2i00000000000000000000000000000
χ7888-8-800-40000-44400000000000000000000−4i4i0000000000002i−2i2i−2i00000000000000000000000000000
χ798-88-80080000-88-80000000000000000000000000000000000000000000000000000000000000000000
χ808-88-800-400004-44000000000000000000000000000000000023−23−232300000000000000000000000000000
χ818-88-800-400004-440000000000000000000000000000000000−232323−2300000000000000000000000000000

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