Finite Group Databasebeta

← Group #80284

Character table — Group #80284

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11222223344444444444666888888888881212121212121212161616242424
order1223446442244444461212224266881212121212122222444462424488
χ1111111111111111111111111111111111111111111111111
χ2111111111111111-1-1111111-111-1-11111-1-1111111-1-1-1-1-1-1-1-1
χ31111111111-11-1-1-111111111-11-11-11-1-1-1111-1-1-11-111-11-1-11-1
χ41111111111-11-1-1-1-1-111111111-1-111-1-1-1-1-11-1-1-11-1-1-11-111-11
χ5111111111-11-11-1-111111111-1-11-11-11-1-111-11-1-1-1111-1-11-1-11
χ6111111111-11-11-1-1-1-11111111-111-1-11-1-1-1-1-11-1-1-11-1-111-111-1
χ7111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-111-1-1111-1-11-1-1
χ8111111111-1-1-1-111-1-1111111-1-1-111-1-111-1-1-1-111-1-1-1-1-111-111
χ91111111-1-111111111111-1-1-111111111111-1-1-1-1-1-1-1-1111-1-1-1
χ101111111-1-1111111-1-1111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1111
χ111111111-1-11-11-1-1-111111-1-1-1-11-11-11-1-1-111-1111-11-1-1-11-11-11
χ121111111-1-11-11-1-1-1-1-1111-1-1-111-1-111-1-1-1-1-1-1111-11111-11-11-1
χ131111111-1-1-11-11-1-111111-1-1-1-1-11-11-11-1-1111-1111-1-1-1-1-1111-1
χ141111111-1-1-11-11-1-1-1-1111-1-1-11-111-1-11-1-1-1-11-1111-11111-1-1-11
χ151111111-1-1-1-1-1-11111111-1-1-11-1-1-1-1-1-1111111-1-111-1-11-1-1-111
χ161111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-111-1-111-1-111-1-11111-1111-1-1
χ172222-2-222200002-2002-2-2-2-2200000002-200002-20000000000
χ182222-2-22220000-22002-2-2-2-220000000-220000-220000000000
χ192222-2-22-2-200002-2002-2-222-200000002-20000-220000000000
χ202222-2-22-2-20000-22002-2-222-20000000-2200002-20000000000
χ21222-122-10022222222-1-1-10002-1-122-1-1-1-1-1-100000000-1-1-1000
χ22222-122-100222222-2-2-1-1-1000-2-1-1-2-2-1-1-1-11100000000111000
χ23222-122-1002-22-2-2-222-1-1-1000-2-112-2-1111-1-1000000001-11000
χ24222-122-1002-22-2-2-2-2-2-1-1-10002-11-22-11111100000000-11-1000
χ25222-122-100-22-22-2-222-1-1-1000-21-1-221-111-1-10000000011-1000
χ26222-122-100-22-22-2-2-2-2-1-1-100021-12-21-1111100000000-1-11000
χ27222-122-100-2-2-2-22222-1-1-1000211-2-211-1-1-1-100000000-111000
χ28222-122-100-2-2-2-222-2-2-1-1-1000-2112211-1-111000000001-1-1000
χ2922-222-2222020-20000-22-22-2-2002000-200000-2000200000000
χ3022-222-22220-2020000-22-22-2-200-20002000002000-200000000
χ3122-222-22-2-2020-20000-22-2-222002000-2000002000-200000000
χ3222-222-22-2-20-2020000-22-2-22200-2000200000-2000200000000
χ3322-22-2222220-200000-2-22-22-202000-200000-20002000000000
χ3422-22-22222-20200000-2-22-22-20-20002000002000-2000000000
χ3522-22-222-2-220-200000-2-222-2202000-2000002000-2000000000
χ3622-22-222-2-2-20200000-2-222-220-2000200000-20002000000000
χ37444-2-4-4-20000004-400-2220000000000-220000000000000000
χ38444-2-4-4-2000000-4400-22200000000002-20000000000000000
χ3944-4-24-4-200040-400002-2200000-20002000000000000000000
χ4044-4-24-4-2000-40400002-22000002000-2000000000000000000
χ4144-4-2-44-20040-40000022-20000-200020000000000000000000
χ4244-4-2-44-200-4040000022-200002000-20000000000000000000
χ434-40400-44i−4i0000002i−2i0000000000000002i−2i0000002-2000000
χ444-40400-44i−4i000000−2i2i000000000000000−2i2i000000-22000000
χ454-40400-4−4i4i0000002i−2i0000000000000002i−2i000000-22000000
χ464-40400-4−4i4i000000−2i2i000000000000000−2i2i0000002-2000000
χ478-80-4004000000004i−4i000000000000000−2i2i00000000000000
χ488-80-400400000000−4i4i0000000000000002i−2i00000000000000

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