Finite Group Databasebeta

← Group #74656

Character table — Group #74656

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111111122222222222222222222444444444444666666666666666688888888888824242424
order1222222222223444444446666666666612121212121212122222222244444444444412121212121212122444
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
χ51111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1
χ61111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11
χ71111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11-1-11
χ81111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-111-1
χ911111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-111-1-111-1-1
χ1011111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-111-1-111
χ1111111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-111-1-1-1-111
χ1211111111-1-1-1-111111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-11111-1-1
χ1311111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-11-11
χ1411111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-11-11-1
χ1511111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1111-11-1
χ1611111111-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-1-11111-1-1-11-11
χ17222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-10000
χ18222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2111111110000
χ19222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111000000000000000022-2-2-1-1-1-111110000
χ20222222222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-2-2221111-1-1-1-10000
χ2122222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-1111100000000000000002-22-2-1-111-1-1110000
χ2222222222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-11111-1-1-1-111110000000000000000-22-2211-1-111-1-10000
χ2322222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-100000000000000002-2-22-1-11111-1-10000
χ2422222222-2-2-2-2-1-2-2-2-22222-1-1-1-1-1-1-111111111-1-1-1-10000000000000000-222-211-1-1-1-1110000
χ25222-22-2-2-20000200002i2i−2i−2i2-2-222-2-2000000002i2i−2i−2i22-2-2000000002i2i−2i−2i0000000000000000
χ26222-22-2-2-20000200002i2i−2i−2i2-2-222-2-2000000002i2i−2i−2i-2-22200000000−2i−2i2i2i0000000000000000
χ27222-22-2-2-2000020000−2i−2i2i2i2-2-222-2-200000000−2i−2i2i2i22-2-200000000−2i−2i2i2i0000000000000000
χ28222-22-2-2-2000020000−2i−2i2i2i2-2-222-2-200000000−2i−2i2i2i-2-222000000002i2i−2i−2i0000000000000000
χ2922-22-22-2-2000022i2i−2i−2i0000-22-22-22-200002i2i−2i−2i00002-22-200002i2i−2i−2i00000000000000000000
χ3022-22-22-2-2000022i2i−2i−2i0000-22-22-22-200002i2i−2i−2i0000-22-220000−2i−2i2i2i00000000000000000000
χ3122-22-22-2-200002−2i−2i2i2i0000-22-22-22-20000−2i−2i2i2i00002-22-20000−2i−2i2i2i00000000000000000000
χ3222-22-22-2-200002−2i−2i2i2i0000-22-22-22-20000−2i−2i2i2i0000-22-2200002i2i−2i−2i00000000000000000000
χ3322-2-2-2-22222-2-2200000000-2-222-2-2222-2-2000000002-2-2222-2-2000000000000000000000000
χ3422-2-2-2-22222-2-2200000000-2-222-2-2222-2-200000000-222-2-2-222000000000000000000000000
χ3522-2-2-2-222-2-222200000000-2-222-2-22-2-222000000002-2-22-2-222000000000000000000000000
χ3622-2-2-2-222-2-222200000000-2-222-2-22-2-22200000000-222-222-2-2000000000000000000000000
χ372-222-2-22-22-22-222i−2i2i−2i2i−2i2i−2i-2-22-222-22-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ382-222-2-22-22-22-22−2i2i−2i2i−2i2i−2i2i-2-22-222-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ392-222-2-22-22-22-2-12i−2i2i−2i2i−2i2i−2i11-11-1-11-11-11−ii−ii−ii−ii00000000000000000000−i3i3−i3i33−33−30000
χ402-222-2-22-22-22-2-12i−2i2i−2i2i−2i2i−2i11-11-1-11-11-11−ii−ii−ii−ii00000000000000000000i3−i3i3−i3−33−330000
χ412-222-2-22-22-22-2-1−2i2i−2i2i−2i2i−2i2i11-11-1-11-11-11i−ii−ii−ii−i00000000000000000000−i3i3−i3i3−33−330000
χ422-222-2-22-22-22-2-1−2i2i−2i2i−2i2i−2i2i11-11-1-11-11-11i−ii−ii−ii−i00000000000000000000i3−i3i3−i33−33−30000
χ432-222-2-22-2-22-2222i−2i2i−2i−2i2i−2i2i-2-22-222-2-22-222i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ442-222-2-22-2-22-222−2i2i−2i2i2i−2i2i−2i-2-22-222-2-22-22−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ452-222-2-22-2-22-22-12i−2i2i−2i−2i2i−2i2i11-11-1-111-11-1−ii−iii−ii−i00000000000000000000−i3i3i3−i33−3−330000
χ462-222-2-22-2-22-22-12i−2i2i−2i−2i2i−2i2i11-11-1-111-11-1−ii−iii−ii−i00000000000000000000i3−i3−i3i3−333−30000
χ472-222-2-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i11-11-1-111-11-1i−ii−i−ii−ii00000000000000000000−i3i3i3−i3−333−30000
χ482-222-2-22-2-22-22-1−2i2i−2i2i2i−2i2i−2i11-11-1-111-11-1i−ii−i−ii−ii00000000000000000000i3−i3−i3i33−3−330000
χ492-22-2-22-220000200002-2-22-22-2-22-22000000002-2-2200002-22-22-22-200000000000000000000
χ502-22-2-22-220000200002-2-22-22-2-22-22000000002-2-220000-22-22-22-2200000000000000000000
χ512-22-2-22-22000020000-222-2-22-2-22-2200000000-222-200002-22-2-22-2200000000000000000000
χ522-22-2-22-22000020000-222-2-22-2-22-2200000000-222-20000-22-222-22-200000000000000000000
χ532-2-222-2-22000022-2-2200002-2-2-2-22200002-2-22000000002-2-2200002-22-20000000000000000
χ542-2-222-2-22000022-2-2200002-2-2-2-22200002-2-2200000000-222-20000-22-220000000000000000
χ552-2-222-2-2200002-222-200002-2-2-2-2220000-222-2000000002-2-220000-22-220000000000000000
χ562-2-222-2-2200002-222-200002-2-2-2-2220000-222-200000000-222-200002-22-20000000000000000
χ572-2-2-2222-22-2-22200000000222-2-2-2-22-2-2200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ582-2-2-2222-22-2-22200000000222-2-2-2-22-2-220000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ592-2-2-2222-2-222-2200000000222-2-2-2-2-222-200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ602-2-2-2222-2-222-2200000000222-2-2-2-2-222-20000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ61444-44-4-4-40000-200004i4i−4i−4i-222-2-22200000000−2i−2i2i2i00000000000000000000000000000000
χ62444-44-4-4-40000-20000−4i−4i4i4i-222-2-222000000002i2i−2i−2i00000000000000000000000000000000
χ6344-44-44-4-40000-24i4i−4i−4i00002-22-22-220000−2i−2i2i2i000000000000000000000000000000000000
χ6444-44-44-4-40000-2−4i−4i4i4i00002-22-22-2200002i2i−2i−2i000000000000000000000000000000000000
χ6544-4-4-4-44444-4-4-20000000022-2-222-2-2-2220000000000000000000000000000000000000000
χ6644-4-4-4-444-4-444-20000000022-2-222-222-2-20000000000000000000000000000000000000000
χ674-44-4-44-440000-200004-4-442-222-22-200000000-222-200000000000000000000000000000000
χ684-44-4-44-440000-20000-444-42-222-22-2000000002-2-2200000000000000000000000000000000
χ694-4-444-4-440000-24-4-440000-22222-2-20000-222-2000000000000000000000000000000000000
χ704-4-444-4-440000-2-444-40000-22222-2-200002-2-22000000000000000000000000000000000000
χ714-4-4-4444-44-4-44-200000000-2-2-22222-222-20000000000000000000000000000000000000000
χ724-4-4-4444-4-444-4-200000000-2-2-222222-2-220000000000000000000000000000000000000000

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