Finite Group Databasebeta

← Group #11713975

Character table — Group #11713975

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size111122223333444446666888888881212121212161616161616161616161616242424242424242448484848
order12224444222244444444436661212121244444121212121212121212121212888888882444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111-111-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ61111-1-1111111-111-1-1-1-1111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ71111-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ81111-1-1111111-1-1-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ9222222222222222222222-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ102222222222222-2-2-2-22222-1-1-1-1-1-1-1-12-2-2-2-2-1-1-1-111111111000000000000
χ11222222-2-22222-2000022-2-222222222-20000-2-2-2-200000000000000000000
χ12222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-200001111−i3−i3i3i3−i3−i3i3i3000000000000
χ13222222-2-22222-2000022-2-2-1-1-1-1-1-1-1-1-200001111i3i3−i3−i3i3i3−i3−i3000000000000
χ142222-2-2222222-222-2-2-2-222-1-1-1-11111-222-2-2-1-111-1-1-1-11111000000000000
χ152222-2-2222222-2-2-222-2-222-1-1-1-11111-2-2-222-1-1111111-1-1-1-1000000000000
χ162222-2-2-2-2222220000-2-2-2-22222-2-2-2-220000-2-22200000000000000000000
χ172222-2-2-2-2222220000-2-2-2-2-1-1-1-111112000011-1-1−i3−i3i3i3i3i3−i3−i3000000000000
χ182222-2-2-2-2222220000-2-2-2-2-1-1-1-111112000011-1-1i3i3−i3−i3−i3−i3i3i3000000000000
χ192-22-22i−2i002-22-2000002i−2i002-22-22i2i−2i−2i000000000000000002−2−i2i22−2−i2i20000
χ202-22-22i−2i002-22-2000002i−2i002-22-22i2i−2i−2i00000000000000000−22i2−i2−22i2−i20000
χ212-22-2−2i2i002-22-200000−2i2i002-22-2−2i−2i2i2i000000000000000002−2i2−i22−2i2−i20000
χ222-22-2−2i2i002-22-200000−2i2i002-22-2−2i−2i2i2i00000000000000000−22−i2i2−22−i2i20000
χ232-2-22002-2-2-22202i−2i00002-22-2-22000002i−2i002-2002i−2i2i−2i0000000000000000
χ242-2-22002-2-2-22202i−2i00002-2-111-13−33−302i−2i00-113−3−ii−ii−i3i3−i3i3000000000000
χ252-2-22002-2-2-22202i−2i00002-2-111-1−33−3302i−2i00-11−33−ii−iii3−i3i3−i3000000000000
χ262-2-22002-2-2-2220−2i2i00002-22-2-2200000−2i2i002-200−2i2i−2i2i0000000000000000
χ272-2-22002-2-2-2220−2i2i00002-2-111-13−33−30−2i2i00-113−3i−ii−ii3−i3i3−i3000000000000
χ282-2-22002-2-2-2220−2i2i00002-2-111-1−33−330−2i2i00-11−33i−ii−i−i3i3−i3i3000000000000
χ292-2-2200-22-2-2220002-200-222-2-2200000002-2-220000002-2-22000000000000
χ302-2-2200-22-2-2220002-200-22-111-13−33−30002-21-1−333−3−33-111-1000000000000
χ312-2-2200-22-2-2220002-200-22-111-1−33−330002-21-13−3−333−3-111-1000000000000
χ322-2-2200-22-2-222000-2200-222-2-220000000-22-22000000-222-2000000000000
χ332-2-2200-22-2-222000-2200-22-111-13−33−3000-221-1−33−333−31-1-11000000000000
χ342-2-2200-22-2-222000-2200-22-111-1−33−33000-221-13−33−3−331-1-11000000000000
χ3533333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-10000000000001111-1-1-1-111-1-1
χ3633333333-1-1-1-133333-1-1-1-100000000-1-1-1-1-1000000000000-1-1-1-11111-1-111
χ3733333333-1-1-1-13-3-3-3-3-1-1-1-100000000-111110000000000001111-1-1-1-1-1-111
χ3833333333-1-1-1-13-3-3-3-3-1-1-1-100000000-11111000000000000-1-1-1-1111111-1-1
χ393333-3-333-1-1-1-1-333-3-311-1-1000000001-1-11100000000000011-1-1-1-1111-1-11
χ403333-3-333-1-1-1-1-333-3-311-1-1000000001-1-111000000000000-1-11111-1-1-111-1
χ413333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-100000000000011-1-1-1-111-111-1
χ423333-3-333-1-1-1-1-3-3-33311-1-100000000111-1-1000000000000-1-11111-1-11-1-11
χ4344-4-40000-444-400000000044-4-4000000000000000000000000000000000
χ4444-4-40000-444-4000000000-2-222−2i32i32i3−2i300000000000000000000000000000
χ4544-4-40000-444-4000000000-2-2222i3−2i3−2i32i300000000000000000000000000000
χ464-44-44i−4i004-44-4000004i−4i00-22-22−2i−2i2i2i00000000000000000000000000000
χ474-44-4−4i4i004-44-400000−4i4i00-22-222i2i−2i−2i00000000000000000000000000000
χ48666666-6-6-2-2-2-2-60000-2-2220000000020000000000000000000000000000
χ496666-6-6-6-6-2-2-2-260000222200000000-20000000000000000000000000000
χ506-66-66i−6i00-22-2200000−2i2i0000000000000000000000000002−2−i2i2−22i2−i20000
χ516-66-66i−6i00-22-2200000−2i2i000000000000000000000000000−22i2−i22−2−i2i20000
χ526-66-6−6i6i00-22-22000002i−2i0000000000000000000000000002−2i2−i2−22−i2i20000
χ536-66-6−6i6i00-22-22000002i−2i000000000000000000000000000−22−i2i22−2i2−i20000
χ546-6-66006-622-2-206i−6i0000-22000000000−2i2i00000000000000000000000000
χ556-6-66006-622-2-20−6i6i0000-220000000002i−2i00000000000000000000000000
χ566-6-6600-6622-2-20006-6002-200000000000-22000000000000000000000000
χ576-6-6600-6622-2-2000-66002-2000000000002-2000000000000000000000000
χ581212-12-1200004-4-440000000000000000000000000000000000000000000000

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