Finite Group Databasebeta

← Group #11713280

Character table — Group #11713280

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11222223346666688888812161616161616242424242424242424243232323248484848
order1224488228244882236668121224242424222444888866668888
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111-1-111111111111-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-111-1111-1-11-11111-111-1-1-1-11-11111-1-1-1-111-1-11-11-1
χ611111-1-111-1111-1-11-11111-111-1-1-1-11-1-1-1-1-1111111-1-1-11-11
χ711111-1-111-1111-1-1-111111-111-1-1-1-1-111111-1-1-1-1-1-111-11-11
χ811111-1-111-1111-1-1-111111-111-1-1-1-1-11-1-1-1-11111-1-1111-11-1
χ922222222222222222-1-1-1-12-1-1-1-1-1-12200000000-1-1-1-10000
χ10222222222222222-2-2-1-1-1-12-1-1-1-1-1-1-2-20000000011110000
χ1122222-2-222-2222-2-22-2-1-1-1-1-2-1-111112-200000000-1-1110000
χ1222222-2-222-2222-2-2-22-1-1-1-1-2-1-11111-220000000011-1-10000
χ13222-2-2002202-2-2000022220-2-200000000002i−2i2i−2i00000000
χ14222-2-2002202-2-2000022220-2-20000000000−2i2i−2i2i00000000
χ1522-22-22222-2-22-222002-2-22-2-2222-2-2000000000000000000
χ1622-22-22222-2-22-22200-111-1-21-1-1-1110000000000−i3i3−i3i30000
χ1722-22-22222-2-22-22200-111-1-21-1-1-1110000000000i3−i3i3−i30000
χ1822-22-2-2-2222-22-2-2-2002-2-222-22-2-222000000000000000000
χ1922-22-2-2-2222-22-2-2-200-111-121-111-1-10000000000−i3i3i3−i30000
χ2022-22-2-2-2222-22-2-2-200-111-121-111-1-10000000000i3−i3−i3i30000
χ2122-2-2200220-2-2200002-2-2202-20000002-22-2000000000000
χ2222-2-2200220-2-2200002-2-2202-2000000-22-22000000000000
χ233333333-1-13-1-1-1-1-1330000-1000000-1-111-1-111-1-1000011-1-1
χ243333333-1-13-1-1-1-1-1330000-1000000-1-1-1-111-1-1110000-1-111
χ253333333-1-13-1-1-1-1-1-3-30000-10000001111-1-111-1-10000-1-111
χ263333333-1-13-1-1-1-1-1-3-30000-100000011-1-111-1-111000011-1-1
χ2733333-3-3-1-1-3-1-1-1113-300001000000-1111-1-1-1-11100001-1-11
χ2833333-3-3-1-1-3-1-1-1113-300001000000-11-1-11111-1-10000-111-1
χ2933333-3-3-1-1-3-1-1-111-33000010000001-111-1-1-1-1110000-111-1
χ3033333-3-3-1-1-3-1-1-111-33000010000001-1-1-11111-1-100001-1-11
χ31444-4-4004404-4-40000-2-2-2-20220000000000000000000000
χ3244-4-4400440-4-440000-222-20-220000000000000000000000
χ334-400022−224-4000022−2200400-400022−2200000000000000000000
χ344-400022−224-4000022−2200-2−2i32i32000−22i6−i6000000000000000000
χ354-400022−224-4000022−2200-22i3−2i32000−22−i6i6000000000000000000
χ364-4000−22224-40000−222200400-4000−222200000000000000000000
χ374-4000−22224-40000−222200-2−2i32i320002−2−i6i6000000000000000000
χ384-4000−22224-40000−222200-22i3−2i320002−2i6−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
χ4366-6-6600-2-2022-2000000000000000002-2-22000000000000
χ4466-6-6600-2-2022-200000000000000000-222-2000000000000
χ4512-1200062−62-440000−22220000000000000000000000000000000
χ4612-12000−6262-44000022−220000000000000000000000000000000

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