Finite Group Databasebeta

← Group #79583

Character table — Group #79583

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111111122222222222222222222444444444444666666666666666688888888888824242424
order12224444344446668888888812121212121212122424242424242424224444448888888822446666121212124444
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
χ51111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111
χ71111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-11111-1-1
χ91111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1
χ101111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11
χ111111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-11-11
χ121111-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-111111-11-1
χ131111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ141111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ151111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ161111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ17222222222-2-2-2-2222000000002222-2-2-2-2000000002222-2-2-2-2000000000000000000000000
χ18222222222-2-2-2-2222000000002222-2-2-2-200000000-2-2-2-22222000000000000000000000000
χ1922222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ2022222222-12222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ2122222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000002-22-2-1-111-1-1110000
χ2222222222-12222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000-22-2211-1-111-1-10000
χ232222-2-2-2-2222-2-222200000000-2-2-2-222-2-20000000022-2-2-2-222000000000000000000000000
χ242222-2-2-2-2222-2-222200000000-2-2-2-222-2-200000000-2-22222-2-2000000000000000000000000
χ252222-2-2-2-2-1-2-222-1-1-12222-2-2-2-2111111-1-1-1-1-1-11111000000000000000022-2-2-1-1-1-111110000
χ262222-2-2-2-2-1-2-222-1-1-12222-2-2-2-2111111-1-1-1-1-1-111110000000000000000-2-2221111-1-1-1-10000
χ272222-2-2-2-2-1-2-222-1-1-1-2-2-2-22222111111-1-11111-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ282222-2-2-2-2-1-2-222-1-1-1-2-2-2-22222111111-1-11111-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ2922-2-222-2-220000-2-2222−2−222−2−222-2-2000022−2−222−2−200002i−2i2i−2i−i2−i2i2i2−i2−i2i2i20000000000000000
χ3022-2-222-2-220000-2-2222−2−222−2−222-2-2000022−2−222−2−20000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i20000000000000000
χ3122-2-222-2-220000-2-22−2−222−2−22222-2-20000−2−222−2−22200002i−2i2i−2ii2i2−i2−i2i2i2−i2−i20000000000000000
χ3222-2-222-2-220000-2-22−2−222−2−22222-2-20000−2−222−2−2220000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i20000000000000000
χ3322-2-2-2-22220000-2-2222−2−2−2−222-2-222000022−2−2−2−22200002i−2i−2i2i−i2−i2i2i2i2i2−i2−i20000000000000000
χ3422-2-2-2-22220000-2-2222−2−2−2−222-2-222000022−2−2−2−2220000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i20000000000000000
χ3522-2-2-2-22220000-2-22−2−22222−2−2-2-2220000−2−22222−2−200002i−2i−2i2ii2i2−i2−i2−i2−i2i2i20000000000000000
χ3622-2-2-2-22220000-2-22−2−22222−2−2-2-2220000−2−22222−2−20000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i20000000000000000
χ372-22-22i−2i2i−2i200002-2-22−22−2−i2i2−i2i22i−2i2i−2i00002−22−2−i2i2−i2i22-22i−2i00002−22−2−i2i2−i2i20000000000000000
χ382-22-22i−2i2i−2i200002-2-22−22−2−i2i2−i2i22i−2i2i−2i00002−22−2−i2i2−i2i2-22−2i2i0000−22−22i2−i2i2−i20000000000000000
χ392-22-22i−2i2i−2i200002-2-2−22−22i2−i2i2−i22i−2i2i−2i0000−22−22i2−i2i2−i22-22i−2i0000−22−22i2−i2i2−i20000000000000000
χ402-22-22i−2i2i−2i200002-2-2−22−22i2−i2i2−i22i−2i2i−2i0000−22−22i2−i2i2−i2-22−2i2i00002−22−2−i2i2−i2i20000000000000000
χ412-22-2−2i2i−2i2i200002-2-22−22−2i2−i2i2−i2−2i2i−2i2i00002−22−2i2−i2i2−i22-2−2i2i00002−22−2i2−i2i2−i20000000000000000
χ422-22-2−2i2i−2i2i200002-2-22−22−2i2−i2i2−i2−2i2i−2i2i00002−22−2i2−i2i2−i2-222i−2i0000−22−22−i2i2−i2i20000000000000000
χ432-22-2−2i2i−2i2i200002-2-2−22−22−i2i2−i2i2−2i2i−2i2i0000−22−22−i2i2−i2i22-2−2i2i0000−22−22−i2i2−i2i20000000000000000
χ442-22-2−2i2i−2i2i200002-2-2−22−22−i2i2−i2i2−2i2i−2i2i0000−22−22−i2i2−i2i2-222i−2i00002−22−2i2−i2i2−i20000000000000000
χ452-2-222i−2i−2i2i22i−2i2-2-22-2000000002i−2i−2i2i2i−2i2-200000000000000002i−2i−2i2i2-2-220000000000000000
χ462-2-222i−2i−2i2i22i−2i2-2-22-2000000002i−2i−2i2i2i−2i2-20000000000000000−2i2i2i−2i-222-20000000000000000
χ472-2-222i−2i−2i2i2−2i2i-22-22-22-2-22−2i2i2i−2i2i−2i−2i2i−2i2i-222-2-22−2i2i2i−2i00000000000000000000000000000000
χ482-2-222i−2i−2i2i2−2i2i-22-22-2-222-22i−2i−2i2i2i−2i−2i2i−2i2i-22-222-22i−2i−2i2i00000000000000000000000000000000
χ492-2-222i−2i−2i2i-1−2i2i-221-112-2-22−2i2i2i−2i−iii−ii−i1-1-111-1i−i−ii00000000000000000000−i3i3−i3i33−33−30000
χ502-2-222i−2i−2i2i-1−2i2i-221-112-2-22−2i2i2i−2i−iii−ii−i1-1-111-1i−i−ii00000000000000000000i3−i3i3−i3−33−330000
χ512-2-222i−2i−2i2i-1−2i2i-221-11-222-22i−2i−2i2i−iii−ii−i1-11-1-11−iii−i00000000000000000000−i3i3i3−i33−3−330000
χ522-2-222i−2i−2i2i-1−2i2i-221-11-222-22i−2i−2i2i−iii−ii−i1-11-1-11−iii−i00000000000000000000i3−i3−i3i3−333−30000
χ532-2-22−2i2i2i−2i22i−2i-22-22-22-2-222i−2i−2i2i−2i2i2i−2i2i−2i-222-2-222i−2i−2i2i00000000000000000000000000000000
χ542-2-22−2i2i2i−2i22i−2i-22-22-2-222-2−2i2i2i−2i−2i2i2i−2i2i−2i-22-222-2−2i2i2i−2i00000000000000000000000000000000
χ552-2-22−2i2i2i−2i2−2i2i2-2-22-200000000−2i2i2i−2i−2i2i2-200000000000000002i−2i−2i2i-222-20000000000000000
χ562-2-22−2i2i2i−2i2−2i2i2-2-22-200000000−2i2i2i−2i−2i2i2-20000000000000000−2i2i2i−2i2-2-220000000000000000
χ572-2-22−2i2i2i−2i-12i−2i-221-112-2-222i−2i−2i2ii−i−ii−ii1-1-111-1−iii−i00000000000000000000−i3i3−i3i3−33−330000
χ582-2-22−2i2i2i−2i-12i−2i-221-112-2-222i−2i−2i2ii−i−ii−ii1-1-111-1−iii−i00000000000000000000i3−i3i3−i33−33−30000
χ592-2-22−2i2i2i−2i-12i−2i-221-11-222-2−2i2i2i−2ii−i−ii−ii1-11-1-11i−i−ii00000000000000000000−i3i3i3−i3−333−30000
χ602-2-22−2i2i2i−2i-12i−2i-221-11-222-2−2i2i2i−2ii−i−ii−ii1-11-1-11i−i−ii00000000000000000000i3−i3−i3i33−3−330000
χ6144444444-2-4-4-4-4-2-2-200000000-2-2-2-222220000000000000000000000000000000000000000
χ624444-4-4-4-4-244-4-4-2-2-2000000002222-2-2220000000000000000000000000000000000000000
χ6344-4-444-4-4-2000022-22222−22−222222−22−22-2-2220000−2−222−2−22200000000000000000000000000000000
χ6444-4-444-4-4-2000022-2−22−222222−22−222222-2-222000022−2−222−2−200000000000000000000000000000000
χ6544-4-4-4-444-2000022-22222−22−22−22−22222222-2-20000−2−22222−2−200000000000000000000000000000000
χ6644-4-4-4-444-2000022-2−22−2222222222−22−2222-2-2000022−2−2−2−22200000000000000000000000000000000
χ674-44-44i−4i4i−4i-20000-22222−2222−22−2i22i2−2i22i2−2i2i−2i2i0000−22−22i2−i2i2−i200000000000000000000000000000000
χ684-44-44i−4i4i−4i-20000-222−2222−22222i2−2i22i2−2i2−2i2i−2i2i00002−22−2−i2i2−i2i200000000000000000000000000000000
χ694-44-4−4i4i−4i4i-20000-22222−2222−222i2−2i22i2−2i22i−2i2i−2i0000−22−22−i2i2−i2i200000000000000000000000000000000
χ704-44-4−4i4i−4i4i-20000-222−2222−2222−2i22i2−2i22i22i−2i2i−2i00002−22−2i2−i2i2−i200000000000000000000000000000000
χ714-4-444i−4i−4i4i-24i−4i4-42-2200000000−2i2i2i−2i−2i2i-220000000000000000000000000000000000000000
χ724-4-44−4i4i4i−4i-2−4i4i4-42-22000000002i−2i−2i2i2i−2i-220000000000000000000000000000000000000000

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