Finite Group Databasebeta

← Group #11713909

Character table — Group #11713909

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444466668888888812121212121212121212161616161616161616161616242424242424242424244848
order12222222444444444444366666664488888888121212121212121212121212244444888844
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111-1-1-1-111-1-1111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-111-1-1111-1
χ611111111-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-111-1-1-11
χ711111111-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1-11
χ811111111-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1-1-1-1111-1
χ922222222222222222222-1-1-1-1-1-1-1-12200000000-1-1-1-1-1-1-1-1-1-1-1-1220000000000
χ10222222222222-2-2-2-22222-1-1-1-1-1-1-1-12200000000-1-1-1-111111111-2-20000000000
χ1122222222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-2-2000000001111-1-1-1-111112-20000000000
χ1222222222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-2-20000000011111111-1-1-1-1-220000000000
χ1322-22-2-22-20000000022-2-222-2-2-222-2002i2i−2i−2i000000000000000000002i−2i000000
χ1422-22-2-22-20000000022-2-222-2-2-222-200−2i−2i2i2i00000000000000000000−2i2i000000
χ152-222-2-2-22000000002-22-22-22-2-22-220000002i2i−2i−2i000000000000002i−2i00000000
χ162-222-2-2-22000000002-22-22-22-2-22-22000000−2i−2i2i2i00000000000000−2i2i00000000
χ172-22-22-22-222-2-22i−2i2i−2i0000-11-11-11-11002−22−22−22−211-1-1ii−i−iii−i−i000000−i2i2−i2i200
χ182-22-22-22-222-2-22i−2i2i−2i0000-11-11-11-1100−22−22−22−2211-1-1ii−i−iii−i−i000000i2−i2i2−i200
χ192-22-22-22-222-2-2−2i2i−2i2i0000-11-11-11-11002−22−22−22−211-1-1−i−iii−i−iii000000i2−i2i2−i200
χ202-22-22-22-222-2-2−2i2i−2i2i0000-11-11-11-1100−22−22−22−2211-1-1−i−iii−i−iii000000−i2i2−i2i200
χ212-22-22-22-2-2-2222i−2i−2i2i0000-11-11-11-11002−22−2−22−22-1-111ii−i−i−i−iii000000i2−i2−i2i200
χ222-22-22-22-2-2-2222i−2i−2i2i0000-11-11-11-1100−22−222−22−2-1-111ii−i−i−i−iii000000−i2i2i2−i200
χ232-22-22-22-2-2-222−2i2i2i−2i0000-11-11-11-11002−22−2−22−22-1-111−i−iiiii−i−i000000−i2i2i2−i200
χ242-22-22-22-2-2-222−2i2i2i−2i0000-11-11-11-1100−22−222−22−2-1-111−i−iiiii−i−i000000i2−i2−i2i200
χ252-2-2222-2-22i−2i2i−2i00002-2-222-2-2222-2-22i−2i000000002i−2i2i−2i00000000000000000000
χ262-2-2222-2-22i−2i2i−2i00002-2-22-111-1-1-1112i−2i00000000−ii−ii−i3i3−i3i33−33−3000000000000
χ272-2-2222-2-22i−2i2i−2i00002-2-22-111-1-1-1112i−2i00000000−ii−iii3−i3i3−i3−33−33000000000000
χ282-2-2222-2-2−2i2i−2i2i00002-2-222-2-2222-2-2−2i2i00000000−2i2i−2i2i00000000000000000000
χ292-2-2222-2-2−2i2i−2i2i00002-2-22-111-1-1-111−2i2i00000000i−ii−i−i3i3−i3i3−33−33000000000000
χ302-2-2222-2-2−2i2i−2i2i00002-2-22-111-1-1-111−2i2i00000000i−ii−ii3−i3i3−i33−33−3000000000000
χ313333333333333333-1-1-1-100000000-1-111111111000000000000-1-1-1-1-1-11111-1-1
χ323333333333333333-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1000000000000-1-11111-1-1-1-111
χ33333333333333-3-3-3-3-1-1-1-100000000-1-11111111100000000000011-1-1-1-1-1-1-1-111
χ34333333333333-3-3-3-3-1-1-1-100000000-1-1-1-1-1-1-1-1-1-10000000000001111111111-1-1
χ3533333333-3-3-3-333-3-3-1-1-1-100000000111111-1-1-1-1000000000000-1111-1-1-1-111-11
χ3633333333-3-3-3-333-3-3-1-1-1-10000000011-1-1-1-11111000000000000-11-1-11111-1-11-1
χ3733333333-3-3-3-3-3-333-1-1-1-100000000111111-1-1-1-10000000000001-111-1-111-1-11-1
χ3833333333-3-3-3-3-3-333-1-1-1-10000000011-1-1-1-111110000000000001-1-1-111-1-111-11
χ39444-4-44-4-4000000000000-2-2-2-22222000000−2i22i22i2−2i2000000000000000000000000
χ40444-4-44-4-4000000000000-2-2-2-222220000002i2−2i2−2i22i2000000000000000000000000
χ4144-44-4-44-40000000044-4-4-2-2222-2-220000000000000000000000000000000000
χ4244-4-44-4-444i−4i−4i4i0000000011-1-11-1-110000000000−iii−i3−3−33i3−i3−i3i3000000000000
χ4344-4-44-4-444i−4i−4i4i0000000011-1-11-1-110000000000−iii−i−333−3−i3i3i3−i3000000000000
χ4444-4-44-4-444i−4i−4i4i00000000-2-222-222-200000000002i−2i−2i2i00000000000000000000
χ4544-4-44-4-44−4i4i4i−4i0000000011-1-11-1-110000000000i−i−ii3−3−33−i3i3i3−i3000000000000
χ4644-4-44-4-44−4i4i4i−4i0000000011-1-11-1-110000000000i−i−ii−333−3i3−i3−i3i3000000000000
χ4744-4-44-4-44−4i4i4i−4i00000000-2-222-222-20000000000−2i2i2i−2i00000000000000000000
χ484-444-4-4-44000000004-44-4-22-222-22-20000000000000000000000000000000000
χ494-44-44-44-444-4-44i−4i4i−4i00001-11-11-11-10000000000-1-111−i−iii−i−iii000000000000
χ504-44-44-44-444-4-4−4i4i−4i4i00001-11-11-11-10000000000-1-111ii−i−iii−i−i000000000000
χ514-44-44-44-4-4-4444i−4i−4i4i00001-11-11-11-1000000000011-1-1−i−iiiii−i−i000000000000
χ524-44-44-44-4-4-444−4i4i4i−4i00001-11-11-11-1000000000011-1-1ii−i−i−i−iii000000000000
χ534-4-4-4-4444000000000000-222-222-2-200−2i22i22i2−2i20000000000000000000000000000
χ544-4-4-4-4444000000000000-222-222-2-2002i2−2i2−2i22i20000000000000000000000000000
χ5566-66-6-66-600000000-2-22200000000002i2i−2i−2i00000000000000000000−2i2i000000
χ5666-66-6-66-600000000-2-2220000000000−2i−2i2i2i000000000000000000002i−2i000000
χ576-666-6-6-6600000000-22-22000000000000002i2i−2i−2i00000000000000−2i2i00000000
χ586-666-6-6-6600000000-22-2200000000000000−2i−2i2i2i000000000000002i−2i00000000
χ596-6-6666-6-66i−6i6i−6i0000-222-200000000−2i2i00000000000000000000000000000000
χ606-6-6666-6-6−6i6i−6i6i0000-222-2000000002i−2i00000000000000000000000000000000
χ61888-8-88-8-80000000000002222-2-2-2-20000000000000000000000000000000000
χ628-8-8-8-88880000000000002-2-22-2-2220000000000000000000000000000000000

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