Finite Group Databasebeta

← Group #83253

Character table — Group #83253

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111111122222222222222222222444444444444666666666666666688888888888824242424
order12222222344444444444466666661212121212121212121212124444444444444444444412121212121212124444
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
χ51111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ9111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-11-11-1
χ10111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-11-11
χ11111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-11-11
χ12111111111-1-1-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-1111-11-1
χ13111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1111-1-11
χ14111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-111-1
χ15111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-111-1
χ16111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-11-1-11
χ1722222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ1822222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ1922222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ2022222222-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ2122222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000002-22-2-1-111-1-1110000
χ2222222222-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111110000000000000000-22-2211-1-111-1-10000
χ2322222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ2422222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ25222-2-2-2-22222-2-222-2-222-2-2-2-2-2-222222-2-222-2-222-2-200000000000000000000000000000000
χ26222-2-2-2-22222-2-2-2-222-2-222-2-2-2-222222-2-2-2-222-2-22200000000000000000000000000000000
χ27222-2-2-2-222-2-22222-2-2-2-222-2-2-2-2222-2-22222-2-2-2-22200000000000000000000000000000000
χ28222-2-2-2-222-2-222-2-22222-2-2-2-2-2-2222-2-222-2-22222-2-200000000000000000000000000000000
χ29222-2-2-2-22-122-2-222-2-222-2-21111-1-1-1-1-111-1-111-1-11100000000000000000000i3−i3i3−i3i3−i3i3−i30000
χ30222-2-2-2-22-122-2-222-2-222-2-21111-1-1-1-1-111-1-111-1-11100000000000000000000−i3i3−i3i3−i3i3−i3i30000
χ31222-2-2-2-22-122-2-2-2-222-2-2221111-1-1-1-1-11111-1-111-1-100000000000000000000i3−i3i3−i3−i3i3−i3i30000
χ32222-2-2-2-22-122-2-2-2-222-2-2221111-1-1-1-1-11111-1-111-1-100000000000000000000−i3i3−i3i3i3−i3i3−i30000
χ33222-2-2-2-22-1-2-22222-2-2-2-2221111-1-1-111-1-1-1-11111-1-100000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ34222-2-2-2-22-1-2-22222-2-2-2-2221111-1-1-111-1-1-1-11111-1-100000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ35222-2-2-2-22-1-2-222-2-22222-2-21111-1-1-111-1-111-1-1-1-11100000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ36222-2-2-2-22-1-2-222-2-22222-2-21111-1-1-111-1-111-1-1-1-11100000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ3722-222-2-2-2200002-22-2000022-2-22-2-200002-22-20000000022-2-2000022-2-20000000000000000
χ3822-222-2-2-2200002-22-2000022-2-22-2-200002-22-200000000-2-2220000-2-2220000000000000000
χ3922-222-2-2-220000-22-22000022-2-22-2-20000-22-220000000022-2-20000-2-2220000000000000000
χ4022-222-2-2-220000-22-22000022-2-22-2-20000-22-2200000000-2-222000022-2-20000000000000000
χ4122-2-2-222-2200002-2-220000-2-2222-2-200002-2-22000022-2-2000022-2-200000000000000000000
χ4222-2-2-222-2200002-2-220000-2-2222-2-200002-2-220000-2-2220000-2-22200000000000000000000
χ4322-2-2-222-220000-222-20000-2-2222-2-20000-222-2000022-2-20000-2-22200000000000000000000
χ4422-2-2-222-220000-222-20000-2-2222-2-20000-222-20000-2-222000022-2-200000000000000000000
χ452-222-22-2-222-22-2000000002-22-2-22-22-22-200000000000000002-22-22-22-20000000000000000
χ462-222-22-2-222-22-2000000002-22-2-22-22-22-20000000000000000-22-22-22-220000000000000000
χ472-222-22-2-22-22-22000000002-22-2-22-2-22-2200000000000000002-22-2-22-220000000000000000
χ482-222-22-2-22-22-22000000002-22-2-22-2-22-220000000000000000-22-222-22-20000000000000000
χ492-22-22-22-222-2-2200000000-22-22-22-22-2-22000000002-22-22-22-2000000000000000000000000
χ502-22-22-22-222-2-2200000000-22-22-22-22-2-2200000000-22-22-22-22000000000000000000000000
χ512-22-22-22-22-222-200000000-22-22-22-2-222-2000000002-22-2-22-22000000000000000000000000
χ522-22-22-22-22-222-200000000-22-22-22-2-222-200000000-22-222-22-2000000000000000000000000
χ532-2-22-2-2222000000002-22-22-2-22-2-22000000002-22-22-2-22000000002-2-220000000000000000
χ542-2-22-2-2222000000002-22-22-2-22-2-22000000002-22-2-222-200000000-222-20000000000000000
χ552-2-22-2-222200000000-22-222-2-22-2-2200000000-22-222-2-2200000000-222-20000000000000000
χ562-2-22-2-222200000000-22-222-2-22-2-2200000000-22-22-222-2000000002-2-220000000000000000
χ572-2-2-222-222000000002-2-22-222-2-2-22000000002-2-2200002-2-22-222-200000000000000000000
χ582-2-2-222-222000000002-2-22-222-2-2-22000000002-2-220000-222-22-2-2200000000000000000000
χ592-2-2-222-22200000000-222-2-222-2-2-2200000000-222-200002-2-222-2-2200000000000000000000
χ602-2-2-222-22200000000-222-2-222-2-2-2200000000-222-20000-222-2-222-200000000000000000000
χ6144-444-4-4-4-200004-44-40000-2-222-2220000-22-22000000000000000000000000000000000000
χ6244-444-4-4-4-20000-44-440000-2-222-22200002-22-2000000000000000000000000000000000000
χ6344-4-4-444-4-200004-4-44000022-2-2-2220000-222-2000000000000000000000000000000000000
χ6444-4-4-444-4-20000-444-4000022-2-2-22200002-2-22000000000000000000000000000000000000
χ654-444-44-4-4-24-44-400000000-22-222-22-22-220000000000000000000000000000000000000000
χ664-444-44-4-4-2-44-4400000000-22-222-222-22-20000000000000000000000000000000000000000
χ674-44-44-44-4-24-4-44000000002-22-22-22-222-20000000000000000000000000000000000000000
χ684-44-44-44-4-2-444-4000000002-22-22-222-2-220000000000000000000000000000000000000000
χ694-4-44-4-444-2000000004-44-4-222-222-200000000-22-2200000000000000000000000000000000
χ704-4-44-4-444-200000000-44-44-222-222-2000000002-22-200000000000000000000000000000000
χ714-4-4-444-44-2000000004-4-442-2-2222-200000000-222-200000000000000000000000000000000
χ724-4-4-444-44-200000000-444-42-2-2222-2000000002-2-2200000000000000000000000000000000

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