Finite Group Databasebeta

← Group #3798

Character table — Group #3798

Order 144.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30
size11112222222244446666666666661818
order1244336612121212361212224466661212121224
χ1111111111111111111111111111111
χ211111111111111111-11-111-1-111-1-1-1-1
χ31111111111111111-11-11-1-111-1-111-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11
χ611-1-11111-1-1-1-111-1-11-1-1111-1-1-1-1111-1
χ711-1-11111-1-1-1-111-1-1-111-1-1-11111-1-11-1
χ811-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11
χ922222-12-122-1-1-1-1-1-1020200-1-100-1-100
χ1022222-12-122-1-1-1-1-1-10-20-20011001100
χ112222-12-12-1-122-1-1-1-12020-1-100-1-10000
χ122222-12-12-1-122-1-1-1-1-20-201100110000
χ1322-2-22-12-1-2-211-1-111020-200-1-1001100
χ1422-2-22-12-1-2-211-1-1110-202001100-1-100
χ1522-2-2-12-1211-2-2-1-11120-20-1-100110000
χ1622-2-2-12-1211-2-2-1-111-20201100-1-10000
χ172-22i−2i22-2-22i−2i2i−2i2-22i−2i00000000000000
χ182-22i−2i2-1-212i−2i−ii-11−ii000000−i3i3003−300
χ192-22i−2i2-1-212i−2i−ii-11−ii000000i3−i300−3300
χ202-22i−2i-121-2−ii2i−2i-11−ii0000−i3i3003−30000
χ212-22i−2i-121-2−ii2i−2i-11−ii0000i3−i300−330000
χ222-2−2i2i22-2-2−2i2i−2i2i2-2−2i2i00000000000000
χ232-2−2i2i2-1-21−2i2ii−i-11i−i000000−i3i300−3300
χ242-2−2i2i2-1-21−2i2ii−i-11i−i000000i3−i3003−300
χ252-2−2i2i-121-2i−i−2i2i-11i−i0000−i3i300−330000
χ262-2−2i2i-121-2i−i−2i2i-11i−i0000i3−i3003−30000
χ274444-2-2-2-2-2-2-2-2111100000000000000
χ2844-4-4-2-2-2-2222211-1-100000000000000
χ294-44i−4i-2-222−2i2i−2i2i1-1i−i00000000000000
χ304-4−4i4i-2-2222i−2i2i−2i1-1−ii00000000000000

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