Finite Group Databasebeta

← Group #11713281

Character table — Group #11713281

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222223346666688888812161616161616242424242424242424243232323248484848
order12244882282448834466681212242424242444448888121212128888
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1
χ31111111111111111-1-111111111111-1-11111111-1-1-1-1-1-1-1-1
χ41111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111-1111-1-111-1111-111-1-1-1-111-1111-1-1-1-111-1-11-11-1
χ611111-1-111-1111-1-111-1111-111-1-1-1-1-11-1-1-1-1111111-1-1-11-11
χ711111-1-111-1111-1-11-11111-111-1-1-1-11-11111-1-1-1-1-1-111-11-11
χ811111-1-111-1111-1-11-11111-111-1-1-1-1-1-11-1-1-11111-1-1111-11-1
χ9222222222222222-122-1-1-12-1-1-1-1-1-10220000000-1-1-1-10000
χ10222222222222222-1-2-2-1-1-12-1-1-1-1-1-10-2-2000000011110000
χ1122222-2-222-2222-2-2-12-2-1-1-1-2-1-1111102-20000000-1-1110000
χ1222222-2-222-2222-2-2-1-22-1-1-1-2-1-111110-22000000011-1-10000
χ13222-2-2002202-2-2002002220-2-200000000002i−2i2i−2i00000000
χ14222-2-2002202-2-2002002220-2-20000000000−2i2i−2i2i00000000
χ1522-22-22222-2-22-222200-2-22-2-2222-2-2000000000000000000
χ1622-22-22222-2-22-222-10011-1-21-1-1-1110000000000−i3i3−i3i30000
χ1722-22-22222-2-22-222-10011-1-21-1-1-1110000000000i3−i3i3−i30000
χ1822-22-2-2-2222-22-2-2-2200-2-222-22-2-222000000000000000000
χ1922-22-2-2-2222-22-2-2-2-10011-121-111-1-10000000000−i3i3i3−i30000
χ2022-22-2-2-2222-22-2-2-2-10011-121-111-1-10000000000i3−i3−i3i30000
χ2122-2-2200220-2-2200200-2-2202-20000200-22-2000000000000
χ2222-2-2200220-2-2200200-2-2202-20000-2002-22000000000000
χ233333333-1-13-1-1-1-1-1033000-10000001-1-11-1-111-1-1000011-1-1
χ243333333-1-13-1-1-1-1-1033000-1000000-1-1-1-111-1-1110000-1-111
χ253333333-1-13-1-1-1-1-10-3-3000-10000001111-1-111-1-10000-1-111
χ263333333-1-13-1-1-1-1-10-3-3000-1000000-111-111-1-111000011-1-1
χ2733333-3-3-1-1-3-1-1-11103-300010000001-111-1-1-1-11100001-1-11
χ2833333-3-3-1-1-3-1-1-11103-30001000000-1-11-11111-1-10000-111-1
χ2933333-3-3-1-1-3-1-1-1110-33000100000011-11-1-1-1-1110000-111-1
χ3033333-3-3-1-1-3-1-1-1110-330001000000-11-1-11111-1-100001-1-11
χ31444-4-4004404-4-400-200-2-2-20220000000000000000000000
χ3244-4-4400440-4-4400-20022-20-220000000000000000000000
χ334-400022−224-4000022−2240000-400022−2200000000000000000000
χ344-400022−224-4000022−22-200−2i32i32000−22i6−i6000000000000000000
χ354-400022−224-4000022−22-2002i3−2i32000−22−i6i6000000000000000000
χ364-4000−22224-40000−222240000-4000−222200000000000000000000
χ374-4000−22224-40000−2222-200−2i32i320002−2−i6i6000000000000000000
χ384-4000−22224-40000−2222-2002i3−2i320002−2i6−i6000000000000000000
χ39666-6-600-2-20-2220000000000000000000002i−2i−2i2i00000000
χ40666-6-600-2-20-222000000000000000000000−2i2i2i−2i00000000
χ4166-66-666-2-2-62-22-2-20000002000000000000000000000000
χ4266-66-6-6-6-2-262-2222000000-2000000000000000000000000
χ4366-6-6600-2-2022-2000000000000000200-2-22000000000000
χ4466-6-6600-2-2022-2000000000000000-20022-2000000000000
χ4512-1200062−62-440000−22220000000000000000000000000000000
χ4612-12000−6262-44000022−220000000000000000000000000000000

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