Finite Group Databasebeta

← Group #11713681

Character table — Group #11713681

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121216161616161616161616161624242424242424242424242424244848
order12222222444444444436666666441212121212121212121212124444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1
χ41111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-111-1-11-111-1-111-1-11-1
χ611111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-111-11
χ711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-111-11
χ811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-11111-1-11-1
χ9222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000220000000000
χ102222222222-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-1111111110000-2-20000000000
χ1122222222-2-222-2-22222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1111100002-20000000000
χ1222222222-2-2-2-2222222-1-1-1-1-1-1-1-1-2-211111111-1-1-1-10000-220000000000
χ1322-222-2-2-200000022-2-22222-2-2-2-200000000000000002-200002-2000000
χ1422-222-2-2-200000022-2-22222-2-2-2-20000000000000000-220000-22000000
χ152-222-22-2-20000002-22-222-2-222-2-2000000000000002-200002-200000000
χ162-222-22-2-20000002-22-222-2-222-2-200000000000000-220000-2200000000
χ172-2-22-2-2222-200002-2-2222-2-2-2-2222-222-2-2000000000000000000000000
χ182-2-22-2-2222-200002-2-22-1-11111-1-12-2-1-111−i3−i3i3i3−i3−i3i3i30000000000000000
χ192-2-22-2-2222-200002-2-22-1-11111-1-12-2-1-111i3i3−i3−i3i3i3−i3−i30000000000000000
χ202-2-22-2-222-2200002-2-2222-2-2-2-222-22-2-222000000000000000000000000
χ212-2-22-2-222-2200002-2-22-1-11111-1-1-2211-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ222-2-22-2-222-2200002-2-22-1-11111-1-1-2211-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
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
χ253333333333-3-3-3-3-1-1-1-100000000-1-1000000000000111111-1-1-1-11111-1-1
χ263333333333-3-3-3-3-1-1-1-100000000-1-1000000000000-1-1-1-1111111-1-1-1-111
χ2733333333-3-333-3-3-1-1-1-1000000001100000000000011-1-1-11-1-111-1-1111-1
χ2833333333-3-333-3-3-1-1-1-10000000011000000000000-1-111-1111-1-111-1-1-11
χ2933333333-3-3-3-333-1-1-1-1000000001100000000000011-1-11-1-1-11111-1-1-11
χ3033333333-3-3-3-333-1-1-1-10000000011000000000000-1-1111-111-1-1-1-1111-1
χ31444-4-4-4-440000000000-222-22-2-2200000000000000000000000000−2i22i200
χ32444-4-4-4-440000000000-222-22-2-22000000000000000000000000002i2−2i200
χ3344-444-4-4-400000044-4-4-2-2-2-22222000000000000000000000000000000
χ3444-4-4-444-4004-40000001-1-111-1-1100−i3i3−i3i31-11-1−i3i3−i3i30000000000000000
χ3544-4-4-444-4004-40000001-1-111-1-1100i3−i3i3−i31-11-1i3−i3i3−i30000000000000000
χ3644-4-4-444-4004-4000000-222-2-222-2000000-22-2200000000000000000000
χ3744-4-4-444-400-440000001-1-111-1-1100−i3i3−i3i3-11-11i3−i3i3−i30000000000000000
χ3844-4-4-444-400-440000001-1-111-1-1100i3−i3i3−i3-11-11−i3i3−i3i30000000000000000
χ3944-4-4-444-400-44000000-222-2-222-20000002-22-200000000000000000000
χ404-444-44-4-40000004-44-4-2-222-2-222000000000000000000000000000000
χ414-44-44-44-400004-400001-11-1-11-1100−i3i3i3−i3−i3i3i3−i31-1-110000000000000000
χ424-44-44-44-400004-400001-11-1-11-1100i3−i3−i3i3i3−i3−i3i31-1-110000000000000000
χ434-44-44-44-400004-40000-22-222-22-20000000000-222-20000000000000000
χ444-44-44-44-40000-4400001-11-1-11-1100−i3i3i3−i3i3−i3−i3i3-111-10000000000000000
χ454-44-44-44-40000-4400001-11-1-11-1100i3−i3−i3i3−i3i3i3−i3-111-10000000000000000
χ464-44-44-44-40000-440000-22-222-22-200000000002-2-220000000000000000
χ474-4-4-444-440000000000-22-22-22-2200000000000000000000000022−220000
χ484-4-4-444-440000000000-22-22-22-22000000000000000000000000−22220000
χ4966-666-6-6-6000000-2-2220000000000000000000000002-20000-22000000
χ5066-666-6-6-6000000-2-222000000000000000000000000-2200002-2000000
χ516-666-66-6-6000000-22-2200000000000000000000002-20000-2200000000
χ526-666-66-6-6000000-22-220000000000000000000000-2200002-200000000
χ536-6-66-6-6666-60000-222-200000000-220000000000000000000000000000
χ546-6-66-6-666-660000-222-2000000002-20000000000000000000000000000
χ55888-8-8-8-8800000000002-2-22-222-2000000000000000000000000000000
χ568-8-8-888-8800000000002-22-22-22-2000000000000000000000000000000

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