Finite Group Databasebeta

← Group #72038

Character table — Group #72038

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111111122222222222222222222444444444444666666666666666688888888888824242424
order122222223444466666668888888812121212242424242424242444444444888888882222666666664444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ9111-11-1-1-111-11-111-1-1-1-111111-1-1-1-11-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1i−ii−i
χ10111-11-1-1-111-11-111-1-1-1-111111-1-1-1-11-1-111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-111−ii−ii
χ11111-11-1-1-111-11-111-1-1-1-111111-1-1-1-11-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1−ii−ii
χ12111-11-1-1-111-11-111-1-1-1-111111-1-1-1-11-1-111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-111i−ii−i
χ13111-11-1-1-111-11-111-1-1-1-11-1-1-1-111111-1-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1-1-1111-1-1-1-111i−i−ii
χ14111-11-1-1-111-11-111-1-1-1-11-1-1-1-111111-1-11-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-111-1-1-11111-1-1−iii−i
χ15111-11-1-1-111-11-111-1-1-1-11-1-1-1-111111-1-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1-1-1111-1-1-1-111−iii−i
χ16111-11-1-1-111-11-111-1-1-1-11-1-1-1-111111-1-11-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-111-1-1-11111-1-1i−i−ii
χ17222222222-2-2-2-2222222200000000-2-2-2-20000000022-2-222-2-2000000000000000000000000
χ18222222222-2-2-2-2222222200000000-2-2-2-200000000-2-222-2-222000000000000000000000000
χ1922222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2022222222-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2122222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ2222222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ23222-22-2-2-22-22-2222-2-2-2-2200000000-222-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ24222-22-2-2-22-22-2222-2-2-2-2200000000-222-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ25222-22-2-2-2-12-22-2-1-11111-12222-2-2-2-2-111-1-1-1-1-1111100000000000000002-22-2-1-111-1-1110000
χ26222-22-2-2-2-12-22-2-1-11111-12222-2-2-2-2-111-1-1-1-1-111110000000000000000-22-2211-1-111-1-10000
χ27222-22-2-2-2-12-22-2-1-11111-1-2-2-2-22222-111-11111-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ28222-22-2-2-2-12-22-2-1-11111-1-2-2-2-22222-111-11111-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ2922-22-22-2-2200002-222-2-2-222−2−222−2−2000022−2−222−2−2002i−2i002i−2i−i2−i2i2i2−i2−i2i2i20000000000000000
χ3022-22-22-2-2200002-222-2-2-222−2−222−2−2000022−2−222−2−200−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i20000000000000000
χ3122-22-22-2-2200002-222-2-2-2−2−222−2−2220000−2−222−2−222002i−2i002i−2ii2i2−i2−i2i2i2−i2−i20000000000000000
χ3222-22-22-2-2200002-222-2-2-2−2−222−2−2220000−2−222−2−22200−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i20000000000000000
χ3322-2-2-2-222200002-2-2-222-222−2−2−2−222000022−2−2−2−222002-200-22−2−22222−2−20000000000000000
χ3422-2-2-2-222200002-2-2-222-222−2−2−2−222000022−2−2−2−22200-22002-222−2−2−2−2220000000000000000
χ3522-2-2-2-222200002-2-2-222-2−2−22222−2−20000−2−22222−2−2002-200-2222−2−2−2−2220000000000000000
χ3622-2-2-2-222200002-2-2-222-2−2−22222−2−20000−2−22222−2−200-22002-2−2−22222−2−20000000000000000
χ372-222-2-22-220000-222-22-2-22−22−22−22−200002−22−22−22−22i−2i002i−2i00−i2i2−i2i2−i2i2−i2i20000000000000000
χ382-222-2-22-220000-222-22-2-22−22−22−22−200002−22−22−22−2−2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i20000000000000000
χ392-222-2-22-220000-222-22-2-2−22−22−22−220000−22−22−22−222i−2i002i−2i00i2−i2i2−i2i2−i2i2−i20000000000000000
χ402-222-2-22-220000-222-22-2-2−22−22−22−220000−22−22−22−22−2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i20000000000000000
χ412-22-2-22-2220000-22-22-22-22−22−2−22−2200002−22−2−22−222-200-2200−22−222−22−20000000000000000
χ422-22-2-22-2220000-22-22-22-22−22−2−22−2200002−22−2−22−22-22002-2002−22−2−22−220000000000000000
χ432-22-2-22-2220000-22-22-22-2−22−222−22−20000−22−222−22−22-200-22002−22−2−22−220000000000000000
χ442-22-2-22-2220000-22-22-22-2−22−222−22−20000−22−222−22−2-22002-200−22−222−22−20000000000000000
χ452-2-222-2-2222-2-22-2-22-2-2220000000022-2-200000000000000002-2-222-2-220000000000000000
χ462-2-222-2-2222-2-22-2-22-2-2220000000022-2-20000000000000000-222-2-222-20000000000000000
χ472-2-222-2-222-222-2-2-22-2-2222-2-222-2-22-2-2222-2-222-2-2200000000000000000000000000000000
χ482-2-222-2-222-222-2-2-22-2-222-222-2-222-2-2-222-222-2-222-200000000000000000000000000000000
χ492-2-222-2-22-1-222-211-111-1-12-2-222-2-2211-1-1-111-1-111-100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ502-2-222-2-22-1-222-211-111-1-12-2-222-2-2211-1-1-111-1-111-100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ512-2-222-2-22-1-222-211-111-1-1-222-2-222-211-1-11-1-111-1-1100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ522-2-222-2-22-1-222-211-111-1-1-222-2-222-211-1-11-1-111-1-1100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ532-2-2-2222-2222-2-2-2-2-222-22000000002-22-200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ542-2-2-2222-2222-2-2-2-2-222-22000000002-22-20000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ552-2-2-2222-22-2-222-2-2-222-222-2-22-222-2-22-222-2-22-222-200000000000000000000000000000000
χ562-2-2-2222-22-2-222-2-2-222-22-222-22-2-22-22-22-222-22-2-2200000000000000000000000000000000
χ572-2-2-2222-2-1-2-222111-1-11-12-2-22-222-21-11-1-111-11-1-1100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ582-2-2-2222-2-1-2-222111-1-11-12-2-22-222-21-11-1-111-11-1-1100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ592-2-2-2222-2-1-2-222111-1-11-1-222-22-2-221-11-11-1-11-111-100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ602-2-2-2222-2-1-2-222111-1-11-1-222-22-2-221-11-11-1-11-111-100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ6144444444-2-4-4-4-4-2-2-2-2-2-2-20000000022220000000000000000000000000000000000000000
χ62444-44-4-4-4-2-44-44-2-22222-2000000002-2-220000000000000000000000000000000000000000
χ6344-44-44-4-4-20000-22-2-22222222−22−222222−22−220000−2−222−2−22200000000000000000000000000000000
χ6444-44-44-4-4-20000-22-2-2222−22−222222−22−222222000022−2−222−2−200000000000000000000000000000000
χ6544-4-4-4-444-20000-2222-2-222222−22−22−22−2222220000−2−22222−2−200000000000000000000000000000000
χ6644-4-4-4-444-20000-2222-2-22−22−2222222222−22−22000022−2−2−2−22200000000000000000000000000000000
χ674-444-4-44-4-200002-2-22-22222−2222−2222−2222−220000−22−22−22−2200000000000000000000000000000000
χ684-444-4-44-4-200002-2-22-222−2222−2222−2222−222200002−22−22−22−200000000000000000000000000000000
χ694-44-4-44-44-200002-22-22-2222−2222−22−2222−22220000−22−222−22−200000000000000000000000000000000
χ704-44-4-44-44-200002-22-22-22−2222−222222−2222−2200002−22−2−22−2200000000000000000000000000000000
χ714-4-444-4-44-24-4-4422-222-2-200000000-2-2220000000000000000000000000000000000000000
χ724-4-4-4444-4-244-4-4222-2-22-200000000-22-220000000000000000000000000000000000000000

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