Finite Group Databasebeta

← Group #11713702

Character table — Group #11713702

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121216161616161616161616161624242424242424242424242424244848
order122222222222444444366666664466666666121212124444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111-1-11-111-1-111-1-11-1
χ41111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-11
χ511111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-1-1-111-11
χ611111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-11111-1-11-1
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ9222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000220000000000
χ102222222222-2-2-2-22222-1-1-1-1-1-1-1-1-2-2-1-1-1-11111111100002-20000000000
χ1122222222-2-222-2-22222-1-1-1-1-1-1-1-1-2-21111-1-1-1-111110000-220000000000
χ1222222222-2-2-2-2222222-1-1-1-1-1-1-1-12211111111-1-1-1-10000-2-20000000000
χ1322-22-2-22-200000022-2-22222-2-2-2-200000000000000002i−2i00002i−2i000000
χ1422-22-2-22-200000022-2-22222-2-2-2-20000000000000000−2i2i0000−2i2i000000
χ152-22-22-22-20000002-22-222-2-222-2-2000000000000002i−2i00002i−2i00000000
χ162-22-22-22-20000002-22-222-2-222-2-200000000000000−2i2i0000−2i2i00000000
χ172-2-2-2-222200002-22-2-2222-2-2-2-2222-20000000022-2-20000000000000000
χ182-2-2-2-222200002-22-2-22-1-11111-1-12-2−i3−i3i3i3−i3−i3i3i3-1-1110000000000000000
χ192-2-2-2-222200002-22-2-22-1-11111-1-12-2i3i3−i3−i3i3i3−i3−i3-1-1110000000000000000
χ202-2-2-2-22220000-222-2-2222-2-2-2-222-2200000000-2-2220000000000000000
χ212-2-2-2-22220000-222-2-22-1-11111-1-1-22−i3−i3i3i3i3i3−i3−i311-1-10000000000000000
χ222-2-2-2-22220000-222-2-22-1-11111-1-1-22i3i3−i3−i3−i3−i3i3i311-1-10000000000000000
χ2333333333333333-1-1-1-100000000-1-10000000000001111-1-1-1-1-1-1-1-1-1-111
χ2433333333333333-1-1-1-100000000-1-1000000000000-1-1-1-1-1-111111111-1-1
χ253333333333-3-3-3-3-1-1-1-1000000001100000000000011-1-1-11-1-111-1-1111-1
χ263333333333-3-3-3-3-1-1-1-10000000011000000000000-1-111-1111-1-111-1-1-11
χ2733333333-3-333-3-3-1-1-1-1000000001100000000000011-1-11-1-1-11111-1-1-11
χ2833333333-3-333-3-3-1-1-1-10000000011000000000000-1-1111-111-1-1-1-1111-1
χ2933333333-3-3-3-333-1-1-1-100000000-1-1000000000000111111-1-1-1-11111-1-1
χ3033333333-3-3-3-333-1-1-1-100000000-1-1000000000000-1-1-1-1111111-1-1-1-111
χ31444-4-4-4-440000000000-222-22-2-2200000000000000000000000022−220000
χ32444-4-4-4-440000000000-222-22-2-22000000000000000000000000−22220000
χ3344-44-4-44-400000044-4-4-2-2-2-22222000000000000000000000000000000
χ3444-4-444-4-4004-40000001-1-111-1-1100−i3i3−i3i31-11-1−i3i3−i3i30000000000000000
χ3544-4-444-4-4004-40000001-1-111-1-1100i3−i3i3−i31-11-1i3−i3i3−i30000000000000000
χ3644-4-444-4-4004-4000000-222-2-222-2000000-22-2200000000000000000000
χ3744-4-444-4-400-440000001-1-111-1-1100−i3i3−i3i3-11-11i3−i3i3−i30000000000000000
χ3844-4-444-4-400-440000001-1-111-1-1100i3−i3i3−i3-11-11−i3i3−i3i30000000000000000
χ3944-4-444-4-400-44000000-222-2-222-20000002-22-200000000000000000000
χ404-444-44-4-44-4000000001-11-1-11-11001-1-11−i3i3i3−i3−i3i3i3−i30000000000000000
χ414-444-44-4-44-4000000001-11-1-11-11001-1-11i3−i3−i3i3i3−i3−i3i30000000000000000
χ424-444-44-4-44-400000000-22-222-22-200-222-2000000000000000000000000
χ434-444-44-4-4-44000000001-11-1-11-1100-111-1−i3i3i3−i3i3−i3−i3i30000000000000000
χ444-444-44-4-4-44000000001-11-1-11-1100-111-1i3−i3−i3i3−i3i3i3−i30000000000000000
χ454-444-44-4-4-4400000000-22-222-22-2002-2-22000000000000000000000000
χ464-44-44-44-40000004-44-4-2-222-2-222000000000000000000000000000000
χ474-4-444-4-440000000000-22-22-22-2200000000000000000000000000−2i22i200
χ484-4-444-4-440000000000-22-22-22-22000000000000000000000000002i2−2i200
χ4966-66-6-66-6000000-2-2220000000000000000000000002i−2i0000−2i2i000000
χ5066-66-6-66-6000000-2-222000000000000000000000000−2i2i00002i−2i000000
χ516-66-66-66-6000000-22-2200000000000000000000002i−2i0000−2i2i00000000
χ526-66-66-66-6000000-22-220000000000000000000000−2i2i00002i−2i00000000
χ536-6-6-6-666600006-6-222-200000000-220000000000000000000000000000
χ546-6-6-6-66660000-66-222-2000000002-20000000000000000000000000000
χ55888-8-8-8-8800000000002-2-22-222-2000000000000000000000000000000
χ568-8-888-8-8800000000002-22-22-22-2000000000000000000000000000000

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