Finite Group Databasebeta

← Group #10877170

Character table — Group #10877170

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size11112222222222222244444444444466668888888888888888881212121212121616161616161616161624242424242424244848
order1222222222344446664466666612121212888844448888121212121212121212128888888824242424242424242444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1
χ31111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-1-11-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ5111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11111-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1
χ9111111-1-1-1-111111111-1-111-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-11-111-1-111-1-1-11-111-1-111-1
χ10111111-1-1-1-111111111-1-111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-11-1-111-1-1111-1111-1-1-1-11
χ11111111-1-1-1-111111111-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-111-11-1-1-1111-11
χ12111111-1-1-1-111111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-11-11-1-111-11-1
χ13111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111111-111-1-111-1-11-11-1-111-1-11
χ14111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-11-1-111-1-111-11-1-1-11111-1
χ15111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1111-1-1-1-1111-1111-1-1-11-1
χ16111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-111111-1-1-11111-1-1-11-111-1-11-11
χ1722222222222-2-2-2-2222-2-2222222-2-2-2-2000000002i−2i2i−2i-2-200000000000000002i−2i2i−2i00000000000000
χ1822222222222-2-2-2-2222-2-2222222-2-2-2-200000000−2i2i−2i2i-2-20000000000000000−2i2i−2i2i00000000000000
χ192222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-1000022222222-1-1-1-1-1-1-1-1-1-100000022-1-1-1-1-1-1-1-10000000000
χ202222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-100002222-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000-2-2111111110000000000
χ212222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-22222-1-111111111000000-2-2-1-1-1-111110000000000
χ222222222222-12222-1-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-2-2-2-1-111111111000000221111-1-1-1-10000000000
χ232222222222-1-2-2-2-2-1-1-1-2-2-1-1-1-1-1-11111000000002i−2i2i−2i11−i3−i3i3i3−i3−i3i3i300000000−ii−ii3−33−30000000000
χ242222222222-1-2-2-2-2-1-1-1-2-2-1-1-1-1-1-11111000000002i−2i2i−2i11i3i3−i3−i3i3i3−i3−i300000000−ii−ii−33−330000000000
χ252222222222-1-2-2-2-2-1-1-1-2-2-1-1-1-1-1-1111100000000−2i2i−2i2i11−i3−i3i3i3−i3−i3i3i300000000i−ii−i−33−330000000000
χ262222222222-1-2-2-2-2-1-1-1-2-2-1-1-1-1-1-1111100000000−2i2i−2i2i11i3i3−i3−i3i3i3−i3−i300000000i−ii−i3−33−30000000000
χ27222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-2000000002i−2i−2i2i2200000000000000002i−2i−2i2i00000000000000
χ28222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-200000000−2i2i2i−2i220000000000000000−2i2i2i−2i00000000000000
χ29222222-2-2-2-2-12222-1-1-1-2-2-1-11111-1-1-1-1000022-2-222-2-211-1-1-1-111110000002-2-1-111-1-1110000000000
χ30222222-2-2-2-2-12222-1-1-1-2-2-1-11111-1-1-1-1000022-2-2-2-22211-1-1-1-11111000000-2211-1-111-1-10000000000
χ31222222-2-2-2-2-12222-1-1-1-2-2-1-11111-1-1-1-10000-2-22222-2-2111111-1-1-1-1000000-22-1-11111-1-10000000000
χ32222222-2-2-2-2-12222-1-1-1-2-2-1-11111-1-1-1-10000-2-222-2-222111111-1-1-1-10000002-211-1-1-1-1110000000000
χ33222222-2-2-2-2-1-2-2-2-2-1-1-122-1-111111111000000002i−2i−2i2i-1-1−i3−i3i3i3i3i3−i3−i300000000−iii−i3−3−330000000000
χ34222222-2-2-2-2-1-2-2-2-2-1-1-122-1-111111111000000002i−2i−2i2i-1-1i3i3−i3−i3−i3−i3i3i300000000−iii−i−333−30000000000
χ35222222-2-2-2-2-1-2-2-2-2-1-1-122-1-11111111100000000−2i2i2i−2i-1-1−i3−i3i3i3i3i3−i3−i300000000i−i−ii−333−30000000000
χ36222222-2-2-2-2-1-2-2-2-2-1-1-122-1-11111111100000000−2i2i2i−2i-1-1i3i3−i3−i3−i3−i3i3i300000000i−i−ii3−3−330000000000
χ372222-2-222-2-222-2-222222-2-2-222-2-222-2-22222000000002-200000000-2-222-2-200000000000000000000
χ382222-2-222-2-222-2-222222-2-2-222-2-222-2-2-2-2-2-2000000002-20000000022-2-22200000000000000000000
χ392222-2-222-2-22-222-2222-22-2-222-2-2-2-222000000000000-2200000000000000000000000022-20000-200
χ402222-2-222-2-22-222-2222-22-2-222-2-2-2-222000000000000-22000000000000000000000000-2-220000200
χ412222-2-2-2-22222-2-22222-22-2-2-2-22222-2-2222200000000-2200000000-2-2-2-22200000000000000000000
χ422222-2-2-2-22222-2-22222-22-2-2-2-22222-2-2-2-2-2-200000000-22000000002222-2-200000000000000000000
χ432222-2-2-2-2222-222-22222-2-2-2-2-222-2-2220000000000002-20000000000000000000000002-2-20000200
χ442222-2-2-2-2222-222-22222-2-2-2-2-222-2-2220000000000002-2000000000000000000000000-2220000-200
χ452-22-22-200002-22-22-22-2002-200002-22-222-2-2002i−2i00000000002i−2i2i−2i2-200000000000000000002i−2i000
χ462-22-22-200002-22-22-22-2002-200002-22-222-2-200−2i2i0000000000−2i2i−2i2i2-20000000000000000000−2i2i000
χ472-22-22-200002-22-22-22-2002-200002-22-2-2-222002i−2i00000000002i−2i2i−2i-220000000000000000000−2i2i000
χ482-22-22-200002-22-22-22-2002-200002-22-2-2-22200−2i2i0000000000−2i2i−2i2i-2200000000000000000002i−2i000
χ492-22-2-2200002-2-222-22-200-2200002-2-2222-2-22i−2i000000002i−2i2i−2i0000-22000000000000000002i−2i00000
χ502-22-2-2200002-2-222-22-200-2200002-2-2222-2-2−2i2i00000000−2i2i−2i2i0000-2200000000000000000−2i2i00000
χ512-22-2-2200002-2-222-22-200-2200002-2-22-2-2222i−2i000000002i−2i2i−2i00002-200000000000000000−2i2i00000
χ522-22-2-2200002-2-222-22-200-2200002-2-22-2-222−2i2i00000000−2i2i−2i2i00002-2000000000000000002i−2i00000
χ534444-4-444-4-4-24-4-44-2-2-24-422-2-222-2-222000000000000-220000000000000000000000000000000000
χ544444-4-444-4-4-2-444-4-2-2-2-4422-2-22222-2-20000000000002-20000000000000000000000000000000000
χ554444-4-4-4-444-24-4-44-2-2-2-442222-2-2-2-2220000000000002-20000000000000000000000000000000000
χ564444-4-4-4-444-2-444-4-2-2-24-42222-2-222-2-2000000000000-220000000000000000000000000000000000
χ5744-4-4004-400400004-4-400004-400000022−2222−220000000000000000000022−220000000000000000000000
χ5844-4-4004-400400004-4-400004-4000000−2222−222200000000000000000000−22220000000000000000000000
χ5944-4-400-4400400004-4-40000-4400000022−2222−2200000000000000000000−22220000000000000000000000
χ6044-4-400-4400400004-4-40000-44000000−2222−22220000000000000000000022−220000000000000000000000
χ614-44-44-4000044-44-4-44-4004-40000-44-44000000000000000000000000000000000000000000000000
χ624-44-44-40000-24-44-42-2200-2200002-22-200000000000000000023−23−232300000000000000000000000000
χ634-44-44-40000-24-44-42-2200-2200002-22-2000000000000000000−232323−2300000000000000000000000000
χ644-44-44-40000-2-44-442-2200-220000-22-220000004i−4i0000000000−2i2i−2i2i00000000000000000000000000
χ654-44-44-40000-2-44-442-2200-220000-22-22000000−4i4i00000000002i−2i2i−2i00000000000000000000000000
χ664-44-4-440000444-4-4-44-400-440000-444-4000000000000000000000000000000000000000000000000
χ674-44-4-440000-244-4-42-22002-200002-2-220000000000000023−23−2323000000000000000000000000000000
χ684-44-4-440000-244-4-42-22002-200002-2-2200000000000000−232323−23000000000000000000000000000000
χ694-44-4-440000-2-4-4442-22002-20000-222-200004i−4i00000000−2i2i−2i2i000000000000000000000000000000
χ704-44-4-440000-2-4-4442-22002-20000-222-20000−4i4i000000002i−2i2i−2i000000000000000000000000000000
χ714-4-4400004-440000-4-440000004-4000022−22−2222000000000000000000000022−2200000000000000000000
χ724-4-4400004-440000-4-440000004-40000−222222−220000000000000000000000−222200000000000000000000
χ734-4-440000-4440000-4-44000000-44000022−22−22220000000000000000000000−222200000000000000000000
χ744-4-440000-4440000-4-44000000-440000−222222−22000000000000000000000022−2200000000000000000000
χ7588-8-8008-800-40000-4440000-44000000000000000000000000000000000000000000000000000000
χ7688-8-800-8800-40000-44400004-4000000000000000000000000000000000000000000000000000000
χ778-8-8800008-8-4000044-4000000-440000000000000000000000000000000000000000000000000000
χ788-8-880000-88-4000044-40000004-40000000000000000000000000000000000000000000000000000

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