Finite Group Databasebeta

← Group #74452

Character table — Group #74452

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order1222222222223444466666664466661212121212121212444412121212121212122222444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-111-1-11111-1-111-1-1-1-1
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-1-1-111-1-1-1-111-1-11111
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1111111-1-1-1-111-1-1
χ1311111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-111-1-1-1-111-1-1-1-11111
χ1411111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ1511111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-11111-1-111-1-111-1-111-1-1
χ1611111111-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-1-111-1-111-1-111-1-111
χ17222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ18222222222222-12222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ19222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-11111111122-2-2-1-11111-1-10000000000000000
χ20222222222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-2-22211-1-1-1-1110000000000000000
χ2122222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-111112-22-2-1-1-1-111110000000000000000
χ2222222222-2-2-2-2-12222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-22-221111-1-1-1-10000000000000000
χ2322222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-12-2-22-1-111-1-1110000000000000000
χ2422222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-222-211-1-111-1-10000000000000000
χ252222-2-2-2-222-2-2200002-2-22-2-220022-2-20000000000000000000000002i−2i000000002i−2i
χ262222-2-2-2-222-2-2200002-2-22-2-220022-2-2000000000000000000000000−2i2i00000000−2i2i
χ272222-2-2-2-2-2-222200002-2-22-2-2200-2-2220000000000000000000000002i−2i00000000−2i2i
χ282222-2-2-2-2-2-222200002-2-22-2-2200-2-222000000000000000000000000−2i2i000000002i−2i
χ2922-2-22-2-222-22-220000222-2-2-2-2002-22-2000000000000000000000000002i−2i2i−2i000000
χ3022-2-22-2-222-22-220000222-2-2-2-2002-22-200000000000000000000000000−2i2i−2i2i000000
χ3122-2-22-2-22-22-2220000222-2-2-2-200-22-22000000000000000000000000002i−2i−2i2i000000
χ3222-2-22-2-22-22-2220000222-2-2-2-200-22-2200000000000000000000000000−2i2i2i−2i000000
χ3322-2-2-222-22-2-2222i2i−2i−2i2-2-2-222-22i−2i2-2-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ3422-2-2-222-22-2-222−2i−2i2i2i2-2-2-222-2−2i2i2-2-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ3522-2-2-222-22-2-22-12i2i−2i−2i-1111-1-112i−2i-111-1−i−iii−i−iii00003−3−i3i3−i3i33−30000000000000000
χ3622-2-2-222-22-2-22-12i2i−2i−2i-1111-1-112i−2i-111-1−i−iii−i−iii0000−33i3−i3i3−i3−330000000000000000
χ3722-2-2-222-22-2-22-1−2i−2i2i2i-1111-1-11−2i2i-111-1ii−i−iii−i−i00003−3i3−i3i3−i33−30000000000000000
χ3822-2-2-222-22-2-22-1−2i−2i2i2i-1111-1-11−2i2i-111-1ii−i−iii−i−i0000−33−i3i3−i3i3−330000000000000000
χ3922-2-2-222-2-222-222i2i−2i−2i2-2-2-222-2−2i2i-222-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ4022-2-2-222-2-222-22−2i−2i2i2i2-2-2-222-22i−2i-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ4122-2-2-222-2-222-2-12i2i−2i−2i-1111-1-11−2i2i1-1-11−i−iiiii−i−i00003−3−i3i3i3−i3−330000000000000000
χ4222-2-2-222-2-222-2-12i2i−2i−2i-1111-1-11−2i2i1-1-11−i−iiiii−i−i0000−33i3−i3−i3i33−30000000000000000
χ4322-2-2-222-2-222-2-1−2i−2i2i2i-1111-1-112i−2i1-1-11ii−i−i−i−iii00003−3i3−i3−i3i3−330000000000000000
χ4422-2-2-222-2-222-2-1−2i−2i2i2i-1111-1-112i−2i1-1-11ii−i−i−i−iii0000−33−i3i3i3−i33−30000000000000000
χ452-22-222-2-2000022i−2i2i−2i-22-222-2-20000002i−2i2i−2i0000000000000000002-2000000002i−2i00
χ462-22-222-2-2000022i−2i2i−2i-22-222-2-20000002i−2i2i−2i000000000000000000-2200000000−2i2i00
χ472-22-222-2-200002−2i2i−2i2i-22-222-2-2000000−2i2i−2i2i0000000000000000002-200000000−2i2i00
χ482-22-222-2-200002−2i2i−2i2i-22-222-2-2000000−2i2i−2i2i000000000000000000-22000000002i−2i00
χ492-2-22-22-22000022-2-22-2-22-22-220000002-2-2200000000000000002-2000000002-20000
χ502-2-22-22-22000022-2-22-2-22-22-220000002-2-220000000000000000-2200000000-220000
χ512-2-22-22-2200002-222-2-2-22-22-22000000-222-200000000000000002-200000000-220000
χ522-2-22-22-2200002-222-2-2-22-22-22000000-222-20000000000000000-22000000002-20000
χ534444-4-4-4-444-4-4-20000-222-222-200-2-222000000000000000000000000000000000000
χ544444-4-4-4-4-4-444-20000-222-222-20022-2-2000000000000000000000000000000000000
χ5544-4-44-4-444-44-4-20000-2-2-2222200-22-22000000000000000000000000000000000000
χ5644-4-44-4-44-44-44-20000-2-2-22222002-22-2000000000000000000000000000000000000
χ574-44-444-4-40000-24i−4i4i−4i2-22-2-222000000−2i2i−2i2i00000000000000000000000000000000
χ584-44-444-4-40000-2−4i4i−4i4i2-22-2-2220000002i−2i2i−2i00000000000000000000000000000000
χ594-44-4-4-444000040000-4-444-44-4000000000000000000000000000000000000000000
χ604-44-4-4-4440000-2000022-2-22-22000000000023−2323−230000000000000000000000000000
χ614-44-4-4-4440000-2000022-2-22-220000000000−2323−23230000000000000000000000000000
χ624-4-444-44-4000040000-44-4-4-444000000000000000000000000000000000000000000
χ634-4-444-44-40000-200002-2222-2-20000000000−2i32i32i3−2i30000000000000000000000000000
χ644-4-444-44-40000-200002-2222-2-200000000002i3−2i3−2i32i30000000000000000000000000000
χ654-4-44-44-440000-24-4-4422-22-22-2000000-222-200000000000000000000000000000000
χ664-4-44-44-440000-2-444-422-22-22-20000002-2-2200000000000000000000000000000000

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