Finite Group Databasebeta

← Group #76455

Character table — Group #76455

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111111122222222222222224444444444444488888888888812121212121212121212121212121212
order1222222234444444466666664412121212121212121212121222446666121212122244444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ51111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-11111-1-111-1-111-1-1-1-1
χ61111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-111-1-111-1-11111
χ71111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-11111-1-11111-1-1-1-1-1-111
χ81111111111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-1111111-1-1
χ9111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ10111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111-1-1-1-1-1-1111111-1-111
χ11111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-111-1-1-1-1-1-1-1-1111111
χ12111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ13111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ14111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ15111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1
χ16111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-1-111-1-1-1-11111
χ1722222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ1822222222-122222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ1922222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-1111111112-22-2-1-111-1-1110000000000000000
χ2022222222-12222-2-2-2-2-1-1-1-1-1-1-1-2-2-1-1-1-111111111-22-2211-1-111-1-10000000000000000
χ2122222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-111112-2-22-1-11111-1-10000000000000000
χ2222222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-21111-1-1-1-11111-222-211-1-1-1-1110000000000000000
χ2322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-122-2-2-1-1-1-111110000000000000000
χ2422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-12211111111-1-1-1-1-2-2221111-1-1-1-10000000000000000
χ25222-2-22-2-2222-2-200002-2-22-2-220022-2-200000000000000000000000000002i−2i002i−2i00
χ26222-2-22-2-2222-2-200002-2-22-2-220022-2-20000000000000000000000000000−2i2i00−2i2i00
χ27222-2-22-2-22-2-22200002-2-22-2-2200-2-22200000000000000000000000000002i−2i00−2i2i00
χ28222-2-22-2-22-2-22200002-2-22-2-2200-2-2220000000000000000000000000000−2i2i002i−2i00
χ2922-22-2-2-2222i−2i2i−2i000022-2-22-2-2002i−2i2i−2i000000000000000000002-200002i−2i00000000
χ3022-22-2-2-2222i−2i2i−2i000022-2-22-2-2002i−2i2i−2i00000000000000000000-220000−2i2i00000000
χ3122-22-2-2-222−2i2i−2i2i000022-2-22-2-200−2i2i−2i2i000000000000000000002-20000−2i2i00000000
χ3222-22-2-2-222−2i2i−2i2i000022-2-22-2-200−2i2i−2i2i00000000000000000000-2200002i−2i00000000
χ3322-2-22-22-222i−2i−2i2i2i2i−2i−2i2-22-2-22-22-22i−2i−2i2i2i2i−2i−2i22-2-20000000000000000000000000000
χ3422-2-22-22-222i−2i−2i2i−2i−2i2i2i2-22-2-22-2-222i−2i−2i2i−2i−2i2i2i-2-2220000000000000000000000000000
χ3522-2-22-22-22−2i2i2i−2i2i2i−2i−2i2-22-2-22-2-22−2i2i2i−2i2i2i−2i−2i-2-2220000000000000000000000000000
χ3622-2-22-22-22−2i2i2i−2i−2i−2i2i2i2-22-2-22-22-2−2i2i2i−2i−2i−2i2i2i22-2-20000000000000000000000000000
χ3722-2-22-22-2-12i−2i−2i2i2i2i−2i−2i-11-111-112-2−iii−i−i−iii-1-1110000−i3i3−i3i33−33−30000000000000000
χ3822-2-22-22-2-12i−2i−2i2i2i2i−2i−2i-11-111-112-2−iii−i−i−iii-1-1110000i3−i3i3−i3−33−330000000000000000
χ3922-2-22-22-2-12i−2i−2i2i−2i−2i2i2i-11-111-11-22−iii−iii−i−i11-1-10000−i3i3i3−i33−3−330000000000000000
χ4022-2-22-22-2-12i−2i−2i2i−2i−2i2i2i-11-111-11-22−iii−iii−i−i11-1-10000i3−i3−i3i3−333−30000000000000000
χ4122-2-22-22-2-1−2i2i2i−2i2i2i−2i−2i-11-111-11-22i−i−ii−i−iii11-1-10000−i3i3i3−i3−333−30000000000000000
χ4222-2-22-22-2-1−2i2i2i−2i2i2i−2i−2i-11-111-11-22i−i−ii−i−iii11-1-10000i3−i3−i3i33−3−330000000000000000
χ4322-2-22-22-2-1−2i2i2i−2i−2i−2i2i2i-11-111-112-2i−i−iiii−i−i-1-1110000−i3i3−i3i3−33−330000000000000000
χ4422-2-22-22-2-1−2i2i2i−2i−2i−2i2i2i-11-111-112-2i−i−iiii−i−i-1-1110000i3−i3i3−i33−33−30000000000000000
χ452-222-2-22-2200002i−2i2i−2i-2222-2-2-20000002i−2i2i−2i0000000000000000002-22i−2i0000000000
χ462-222-2-22-2200002i−2i2i−2i-2222-2-2-20000002i−2i2i−2i000000000000000000-22−2i2i0000000000
χ472-222-2-22-220000−2i2i−2i2i-2222-2-2-2000000−2i2i−2i2i0000000000000000002-2−2i2i0000000000
χ482-222-2-22-220000−2i2i−2i2i-2222-2-2-2000000−2i2i−2i2i000000000000000000-222i−2i0000000000
χ492-2-2-2-2222200002-2-22-2-22-22-220000002-2-22000000000000000000000000002-2002-2
χ502-2-2-2-2222200002-2-22-2-22-22-220000002-2-2200000000000000000000000000-2200-22
χ512-2-2-2-222220000-222-2-2-22-22-22000000-222-2000000000000000000000000002-200-22
χ522-2-2-2-222220000-222-2-2-22-22-22000000-222-200000000000000000000000000-22002-2
χ53444-4-44-4-4-244-4-40000-222-222-200-2-222000000000000000000000000000000000000
χ54444-4-44-4-4-2-4-4440000-222-222-20022-2-2000000000000000000000000000000000000
χ5544-44-4-4-44-24i−4i4i−4i0000-2-222-22200−2i2i−2i2i000000000000000000000000000000000000
χ5644-44-4-4-44-2−4i4i−4i4i0000-2-222-222002i−2i2i−2i000000000000000000000000000000000000
χ574-444-4-44-4-200004i−4i4i−4i2-2-2-2222000000−2i2i−2i2i00000000000000000000000000000000
χ584-444-4-44-4-20000−4i4i−4i4i2-2-2-22220000002i−2i2i−2i00000000000000000000000000000000
χ594-44-44-4-44400000000-4-4-4444-4000000000000000000000000000000000000000000
χ604-44-44-4-44-200000000222-2-2-220000000000−2i32i3−2i32i30000000000000000000000000000
χ614-44-44-4-44-200000000222-2-2-2200000000002i3−2i32i3−2i30000000000000000000000000000
χ624-4-4444-4-4400000000-44-4-4-444000000000000000000000000000000000000000000
χ634-4-4444-4-4-2000000002-2222-2-20000000000−2i32i32i3−2i30000000000000000000000000000
χ644-4-4444-4-4-2000000002-2222-2-200000000002i3−2i3−2i32i30000000000000000000000000000
χ654-4-4-4-4444-200004-4-4422-22-22-2000000-222-200000000000000000000000000000000
χ664-4-4-4-4444-20000-444-422-22-22-20000002-2-2200000000000000000000000000000000

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