Finite Group Databasebeta

← Group #72053

Character table — Group #72053

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size11112222222222222244444444444444448888888888882424242424242424
order1222223444466666668888121212122424242424242424224466661212121244888888
χ1111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ5111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111
χ92222222-2-2-2-222222220000-2-2-2-2000000000000000000000000002i−2i
χ102222222-2-2-2-222222220000-2-2-2-200000000000000000000000000−2i2i
χ11222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000
χ12222222-12222-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100000000
χ13222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-11111111122-2-2-1-1-1-1111100000000
χ14222222-12222-1-1-1-1-1-1-1-2-2-2-2-1-1-1-111111111-2-2221111-1-1-1-100000000
χ152222-2-222-2-2222-2-2-2-2222-2-22-2-222222-2-2-2-200000000000000000000
χ162222-2-222-2-2222-2-2-2-22-2-2222-2-22-2-2-2-2222200000000000000000000
χ172222-2-22-222-222-2-2-2-220000-222-2000000000000000000002-2000000
χ182222-2-22-222-222-2-2-2-220000-222-200000000000000000000-22000000
χ192222-2-2-12-2-22-1-11111-122-2-2-111-1-1-1-1-111110000−i3−i3i3i3−i3−i3i3i300000000
χ202222-2-2-12-2-22-1-11111-122-2-2-111-1-1-1-1-111110000i3i3−i3−i3i3i3−i3−i300000000
χ212222-2-2-12-2-22-1-11111-1-2-222-111-11111-1-1-1-10000−i3−i3i3i3i3i3−i3−i300000000
χ222222-2-2-12-2-22-1-11111-1-2-222-111-11111-1-1-1-10000i3i3−i3−i3−i3−i3i3i300000000
χ2322-2-22-2222-2-2-2-222-2-22000022-2-20000000000000000000000002i−2i00
χ2422-2-22-2222-2-2-2-222-2-22000022-2-2000000000000000000000000−2i2i00
χ2522-2-22-22-2-222-2-222-2-220000-2-222000000002-2002-22-2000000000000
χ2622-2-22-22-2-222-2-222-2-220000-2-22200000000-2200-22-22000000000000
χ2722-2-22-2-1-2-22211-1-111-1000011-1-1−i3−i3i3i3−i3−i3i3i32-200-11-11−i3i3−i3i300000000
χ2822-2-22-2-1-2-22211-1-111-1000011-1-1−i3−i3i3i3−i3−i3i3i3-22001-11-1i3−i3i3−i300000000
χ2922-2-22-2-1-2-22211-1-111-1000011-1-1i3i3−i3−i3i3i3−i3−i32-200-11-11i3−i3i3−i300000000
χ3022-2-22-2-1-2-22211-1-111-1000011-1-1i3i3−i3−i3i3i3−i3−i3-22001-11-1−i3i3−i3i300000000
χ3122-2-2-2222-22-2-2-2-2-222200002-22-200000000000000000000002i−2i0000
χ3222-2-2-2222-22-2-2-2-2-222200002-22-20000000000000000000000−2i2i0000
χ3322-2-2-222-22-22-2-2-2-22220000-22-2200000000002-200002-2-2200000000
χ3422-2-2-222-22-22-2-2-2-22220000-22-220000000000-220000-222-200000000
χ3522-2-2-22-1-22-221111-1-1-100001-11-1−i3−i3i3i3i3i3−i3−i3002-2−i3i3i3−i3-111-100000000
χ3622-2-2-22-1-22-221111-1-1-100001-11-1−i3−i3i3i3i3i3−i3−i300-22i3−i3−i3i31-1-1100000000
χ3722-2-2-22-1-22-221111-1-1-100001-11-1i3i3−i3−i3−i3−i3i3i3002-2i3−i3−i3i3-111-100000000
χ3822-2-2-22-1-22-221111-1-1-100001-11-1i3i3−i3−i3−i3−i3i3i300-22−i3i3i3−i31-1-1100000000
χ39444444-2-4-4-4-4-2-2-2-2-2-2-2000022220000000000000000000000000000
χ404444-4-4-2-444-4-2-22222-200002-2-220000000000000000000000000000
χ4144-4-44-4-244-4-422-2-222-20000-2-2220000000000000000000000000000
χ4244-4-4-44-24-44-42222-2-2-20000-22-220000000000000000000000000000
χ434-44-400400004-40000-400−2i22i200000000−2i22i2−2i22i200000000000000000000
χ444-44-400400004-40000-4002i2−2i2000000002i2−2i22i2−2i200000000000000000000
χ454-44-400-20000-22−2i32i3−2i32i3200−2i22i200006−66−6i2−i2i2−i200000000000000000000
χ464-44-400-20000-22−2i32i3−2i32i32002i2−2i20000−66−66−i2i2−i2i200000000000000000000
χ474-44-400-20000-222i3−2i32i3−2i3200−2i22i20000−66−66i2−i2i2−i200000000000000000000
χ484-44-400-20000-222i3−2i32i3−2i32002i2−2i200006−66−6−i2i2−i2i200000000000000000000
χ494-4-440040000-440000-4−2i22i2000000−2i22i22i2−2i2000000000000000000000000
χ504-4-440040000-440000-42i2−2i20000002i2−2i2−2i22i2000000000000000000000000
χ514-4-4400-200002-2−2i32i32i3−2i32−2i22i2000000i2−i2−i2i26−6−6600000000000000000000
χ524-4-4400-200002-2−2i32i32i3−2i322i2−2i2000000−i2i2i2−i2−666−600000000000000000000
χ534-4-4400-200002-22i3−2i3−2i32i32−2i22i2000000i2−i2−i2i2−666−600000000000000000000
χ544-4-4400-200002-22i3−2i3−2i32i322i2−2i2000000−i2i2i2−i26−6−6600000000000000000000

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