Finite Group Databasebeta

← Group #71232

Character table — Group #71232

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size111122222222222244444444444444444121212121212121216161616161624242424
order122234444666888848812121212121224242424242424242244888844121212128888
χ1111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-1
χ6111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-111-1-111
χ7111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-111
χ8111111111111-1-1-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1
χ9222222-2-222222222-2-2-2-2-2-2-2222222-2-2-2-2000000000000000000
χ10222222-2-22222-2-2-2-2-222-2-2-2-222-2-2-2-22222000000000000000000
χ1122222-222-22220000-200-2-222-2-20000000022-2-200000000000000
χ1222222-222-22220000-200-2-222-2-200000000-2-22200000000000000
χ1322222-2-2-2-2222000020022-2-2-2-20000000000002i2i−2i−2i0000000000
χ1422222-2-2-2-2222000020022-2-2-2-2000000000000−2i−2i2i2i0000000000
χ152222-12222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-10000
χ162222-12222-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-211110000
χ172222-12222-1-1-1-2-2-2-22-2-2-1-1-1-1-1-111111111000000002-2-1-1110000
χ182222-12222-1-1-1-2-2-2-22-2-2-1-1-1-1-1-11111111100000000-2211-1-10000
χ192222-12-2-22-1-1-12222-2-2-21111-1-1-1-1-1-111110000000000−i3i3−i3i30000
χ202222-12-2-22-1-1-12222-2-2-21111-1-1-1-1-1-111110000000000i3−i3i3−i30000
χ212222-12-2-22-1-1-1-2-2-2-2-2221111-1-11111-1-1-1-10000000000−i3i3i3−i30000
χ222222-12-2-22-1-1-1-2-2-2-2-2221111-1-11111-1-1-1-10000000000i3−i3−i3i30000
χ232-22-2202-20-22-2−i2−i2i2i20−i2i2002-200−i2−i2i2i2−i2−i2i2i2002i−2i2−22−20000000000
χ242-22-2202-20-22-2−i2−i2i2i20−i2i2002-200−i2−i2i2i2−i2−i2i2i200−2i2i−22−220000000000
χ252-22-2202-20-22-2i2i2−i2−i20i2−i2002-200i2i2−i2−i2i2i2−i2−i2002i−2i−22−220000000000
χ262-22-2202-20-22-2i2i2−i2−i20i2−i2002-200i2i2−i2−i2i2i2−i2−i200−2i2i2−22−20000000000
χ272-22-220-220-22-2−i2−i2i2i20i2−i200-2200−i2−i2i2i2i2i2−i2−i22-200−i2i2i2−i20000000000
χ282-22-220-220-22-2−i2−i2i2i20i2−i200-2200−i2−i2i2i2i2i2−i2−i2-2200i2−i2−i2i20000000000
χ292-22-220-220-22-2i2i2−i2−i20−i2i200-2200i2i2−i2−i2−i2−i2i2i22-200i2−i2−i2i20000000000
χ302-22-220-220-22-2i2i2−i2−i20−i2i200-2200i2i2−i2−i2−i2−i2i2i2-2200−i2i2i2−i20000000000
χ312-2-222200-2-2-222i−2i2i−2i00000002-22i−2i2i−2i000000000000000000−i2i22−2
χ322-2-222200-2-2-222i−2i2i−2i00000002-22i−2i2i−2i000000000000000000i2−i2−22
χ332-2-222200-2-2-22−2i2i−2i2i00000002-2−2i2i−2i2i000000000000000000−i2i2−22
χ342-2-222200-2-2-22−2i2i−2i2i00000002-2−2i2i−2i2i000000000000000000i2−i22−2
χ354444-2-444-4-2-2-20000-40022-2-22200000000000000000000000000
χ364444-2-4-4-4-4-2-2-20000400-2-2222200000000000000000000000000
χ3744-4-4400004-4-422−22−222200000000022−22−22220000000000000000000000
χ3844-4-4400004-4-4−222222−22000000000−222222−220000000000000000000000
χ3944-4-4-20000-22222−22−2222000−2i32i30000−222−2i6−i6i6−i6000000000000000000
χ4044-4-4-20000-22222−22−22220002i3−2i30000−222−2−i6i6−i6i6000000000000000000
χ4144-4-4-20000-222−222222−22000−2i32i300002−2−22−i6i6−i6i6000000000000000000
χ4244-4-4-20000-222−222222−220002i3−2i300002−2−22i6−i6i6−i6000000000000000000
χ434-44-4-204-402-22−2i2−2i22i22i20−2i22i200-2200i2i2−i2−i2i2i2−i2−i2000000000000000000
χ444-44-4-204-402-222i22i2−2i2−2i202i2−2i200-2200−i2−i2i2i2−i2−i2i2i2000000000000000000
χ454-44-4-20-4402-22−2i2−2i22i22i202i2−2i2002-200i2i2−i2−i2−i2−i2i2i2000000000000000000
χ464-44-4-20-4402-222i22i2−2i2−2i20−2i22i2002-200−i2−i2i2i2i2i2−i2−i2000000000000000000
χ474-4-444-4004-4-4400000000000-4400000000000000000000000000
χ484-4-44-2400-422-24i−4i4i−4i0000000-22−2i2i−2i2i0000000000000000000000
χ494-4-44-2400-422-2−4i4i−4i4i0000000-222i−2i2i−2i0000000000000000000000
χ504-4-44-2-400422-2000000000002-2000023−23−2323000000000000000000
χ514-4-44-2-400422-2000000000002-20000−232323−23000000000000000000

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