Finite Group Databasebeta

← Group #11713640

Character table — Group #11713640

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111444444666688888888121216161616161616161616161624242424242424242424242424244848
order12222222444444444436666666441212121212121212121212122244448888888824
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-11-111-1-111-1-111-1-11-1
χ611111111-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-111-1-111-11
χ711111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-1-1-111-11
χ811111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-1
χ9222222222222222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12200000000000000
χ102222222222-2-2-2-22222-1-1-1-1-1-1-1-122-1-1-1-111111111-2-200000000000000
χ1122222222-2-222-2-22222-1-1-1-1-1-1-1-1-2-21111-1-1-1-111112-200000000000000
χ1222222222-2-2-2-2222222-1-1-1-1-1-1-1-1-2-211111111-1-1-1-1-2200000000000000
χ1322-2-2-22-22000000-22-22222-2-2-2-220000000000000000002-2002-2000000
χ1422-2-2-22-22000000-22-22222-2-2-2-22000000000000000000-2200-22000000
χ152-22-2-2-222000000-2-2222-2-222-2-2200000000000000002-2002-200000000
χ162-22-2-2-222000000-2-2222-2-222-2-220000000000000000-2200-2200000000
χ172-2-222-2-222-200002-2-222-2-2-2-22222-222-2-2000000000000000000000000
χ182-2-222-2-222-200002-2-22-11111-1-1-12-2-1-111−i3−i3i3i3−i3−i3i3i30000000000000000
χ192-2-222-2-222-200002-2-22-11111-1-1-12-2-1-111i3i3−i3−i3i3i3−i3−i30000000000000000
χ202-2-222-2-22-2200002-2-222-2-2-2-2222-22-2-222000000000000000000000000
χ212-2-222-2-22-2200002-2-22-11111-1-1-1-2211-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ222-2-222-2-22-2200002-2-22-11111-1-1-1-2211-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ2333333333333333-1-1-1-100000000-1-1000000000000-1-11111-1-1-1-1-1-1-1-111
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
χ263333333333-3-3-3-3-1-1-1-100000000-1-100000000000011-1-1-1-11111-1-1-1-111
χ2733333333-3-333-3-3-1-1-1-10000000011000000000000-1111-1-1-1-111-1-1111-1
χ2833333333-3-333-3-3-1-1-1-10000000011000000000000-11-1-11111-1-111-1-1-11
χ2933333333-3-3-3-333-1-1-1-100000000110000000000001-111-1-1-1-11111-1-1-11
χ3033333333-3-3-3-333-1-1-1-100000000110000000000001-1-1-11111-1-1-1-1111-1
χ31444-44-4-4-40000000000-22-22-2-222000000000000000000000000−2i22i20000
χ32444-44-4-4-40000000000-22-22-2-2220000000000000000000000002i2−2i20000
χ3344-44-4-44-400004i−4i00001-111-1-11-100−i3i3−i3i33−33−3i−ii−i0000000000000000
χ3444-44-4-44-400004i−4i00001-111-1-11-100i3−i3i3−i3−33−33i−ii−i0000000000000000
χ3544-44-4-44-400004i−4i0000-22-2-222-220000000000−2i2i−2i2i0000000000000000
χ3644-44-4-44-40000−4i4i00001-111-1-11-100−i3i3−i3i3−33−33−ii−ii0000000000000000
χ3744-44-4-44-40000−4i4i00001-111-1-11-100i3−i3i3−i33−33−3−ii−ii0000000000000000
χ3844-44-4-44-40000−4i4i0000-22-2-222-2200000000002i−2i2i−2i0000000000000000
χ3944-4-4-44-44000000-44-44-2-2-22222-2000000000000000000000000000000
χ404-444-44-4-4004i−4i00000011-1-11-11-100−i3i3i3−i3i−i−ii3−3−330000000000000000
χ414-444-44-4-4004i−4i00000011-1-11-11-100i3−i3−i3i3i−i−ii−333−30000000000000000
χ424-444-44-4-4004i−4i000000-2-222-22-22000000−2i2i2i−2i00000000000000000000
χ434-444-44-4-400−4i4i00000011-1-11-11-100−i3i3i3−i3−iii−i−333−30000000000000000
χ444-444-44-4-400−4i4i00000011-1-11-11-100i3−i3−i3i3−iii−i3−3−330000000000000000
χ454-444-44-4-400−4i4i000000-2-222-22-220000002i−2i−2i2i00000000000000000000
χ464-44-4-4-444000000-4-444-222-2-222-2000000000000000000000000000000
χ474-4-4-4444-40000000000-2-22-22-2220000000000000000000000000022−2200
χ484-4-4-4444-40000000000-2-22-22-22200000000000000000000000000−222200
χ4966-6-6-66-660000002-22-2000000000000000000000000002-200-22000000
χ5066-6-6-66-660000002-22-200000000000000000000000000-22002-2000000
χ516-66-6-6-66600000022-2-20000000000000000000000002-200-2200000000
χ526-66-6-6-66600000022-2-2000000000000000000000000-22002-200000000
χ536-6-666-6-666-60000-222-200000000-220000000000000000000000000000
χ546-6-666-6-66-660000-222-2000000002-20000000000000000000000000000
χ55888-88-8-8-800000000002-22-222-2-2000000000000000000000000000000
χ568-8-8-8888-8000000000022-22-22-2-2000000000000000000000000000000

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