Finite Group Databasebeta

← Group #11792618

Character table — Group #11792618

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order12222222334466666666666666121212121212121244442244444466661212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ11222-2-2-2-22220022-2-222-2-2-2-2-22-220000000022-2-2002i−2i0000000000002i2i−2i−2i00000000000000
χ12222-2-2-2-22220022-2-222-2-2-2-2-22-220000000022-2-200−2i2i000000000000−2i−2i2i2i00000000000000
χ13222-2-2-2-22220022-2-222-2-2-2-2-22-2200000000-2-2220000002-200000000000022-2-20000000000
χ14222-2-2-2-22220022-2-222-2-2-2-2-22-2200000000-2-222000000-22000000000000-2-2220000000000
χ1522-2-222-2-222002-2-2-22-22-2-222-22-20000000000000000000000000000000000002i−2i22−2−2−i2−i2i2i2
χ1622-2-222-2-222002-2-2-22-22-2-222-22-20000000000000000000000000000000000002i−2i−2−222i2i2−i2−i2
χ1722-2-222-2-222002-2-2-22-22-2-222-22-2000000000000000000000000000000000000−2i2i22−2−2i2i2−i2−i2
χ1822-2-222-2-222002-2-2-22-22-2-222-22-2000000000000000000000000000000000000−2i2i−2−222−i2−i2i2i2
χ192-22-2-222-2222i−2i-222-2-2222-2-2-2-22-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000002−22−2−i2i2−i2i2
χ202-22-2-222-2222i−2i-222-2-2222-2-2-2-22-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000−22−22i2−i2i2−i2
χ212-22-2-222-222−2i2i-222-2-2222-2-2-2-22-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000002−22−2i2−i2i2−i2
χ222-22-2-222-222−2i2i-222-2-2222-2-2-2-22-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000−22−22−i2i2−i2i2
χ232-2-22-22-222200-2-2-22-2-22-22-2-2222000000002-22-20000000000000000000000000000002-2-22
χ242-2-22-22-222200-2-2-22-2-22-22-2-2222000000002-22-2000000000000000000000000000000-222-2
χ252-2-22-22-222200-2-2-22-2-22-22-2-222200000000-22-22000000000000000000000000002-2-220000
χ262-2-22-22-222200-2-2-22-2-22-22-2-222200000000-22-2200000000000000000000000000-222-20000
χ272-2-2-22-2222200-2-22-2-2-2-22-2222-22000000002-2-2200002-200000022-2-2000000000000000000
χ282-2-2-22-2222200-2-22-2-2-2-22-2222-22000000002-2-220000-22000000-2-222000000000000000000
χ292-2-2-22-2222200-2-22-2-2-2-22-2222-2200000000-222-22-200000022-2-20000000000000000000000
χ302-2-2-22-2222200-2-22-2-2-2-22-2222-2200000000-222-2-22000000-2-2220000000000000000000000
χ31444444441-2441111-2-2-2-2-21-211-211-2-211-2-200000022002200000000-1-1-1-1-1-1-1-10000000000
χ32444444441-2441111-2-2-2-2-21-211-211-2-211-2-2000000-2-200-2-200000000111111110000000000
χ33444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-1220000002200-2-200000000-1-1-1-111110000000000
χ34444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-122000000-2-20022000000001111-1-1-1-10000000000
χ3544444444-2144-2-2-2-211111-21-2-21-2-211-2-211000022002200-1-1-1-1-1-1-1-1000000000000000000
χ3644444444-2144-2-2-2-211111-21-2-21-2-211-2-2110000-2-200-2-20011111111000000000000000000
χ3744444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-100002200-2-200-1-1-1-11111000000000000000000
χ3844444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-10000-2-20022001111-1-1-1-1000000000000000000
χ39444-4-4-4-441-20011-1-1-2-2222-121-1-23i−3i003i−3i000000002i−2i002-200000000−i−iii-1-1110000000000
χ40444-4-4-4-441-20011-1-1-2-2222-121-1-23i−3i003i−3i00000000−2i2i00-2200000000ii−i−i11-1-10000000000
χ41444-4-4-4-441-20011-1-1-2-2222-121-1-2−3i3i00−3i3i000000002i−2i00-2200000000−i−iii11-1-10000000000
χ42444-4-4-4-441-20011-1-1-2-2222-121-1-2−3i3i00−3i3i00000000−2i2i002-200000000ii−i−i-1-1110000000000
χ4344-44-4-44-444004-4444-4-444-4-4-4-4-40000000000000000000000000000000000000000000000
χ4444-44-4-44-4-2100-22-2-21-1-1112-122-1003i−3i003i−3i000000000000−i3i3−i3i33−33−3000000000000000000
χ4544-44-4-44-4-2100-22-2-21-1-1112-122-1003i−3i003i−3i000000000000i3−i3i3−i3−33−33000000000000000000
χ4644-44-4-44-4-2100-22-2-21-1-1112-122-100−3i3i00−3i3i000000000000−i3i3−i3i3−33−33000000000000000000
χ4744-44-4-44-4-2100-22-2-21-1-1112-122-100−3i3i00−3i3i000000000000i3−i3i3−i33−33−3000000000000000000
χ484-4444-4-4-41-200-11-112-222-21-2-1-123-300-3300000000000000000000003−33−33−33−30000000000
χ494-4444-4-4-41-200-11-112-222-21-2-1-123-300-330000000000000000000000−33−33−33−330000000000
χ504-4444-4-4-41-200-11-112-222-21-2-1-12-33003-300000000000000000000003−33−3−33−330000000000
χ514-4444-4-4-41-200-11-112-222-21-2-1-12-33003-30000000000000000000000−33−333−33−30000000000
χ524-4444-4-4-44400-44-44-44-4-4444-4-4-40000000000000000000000000000000000000000000000
χ534-44-4-444-41-24i−4i-111-12-2-2-22-12-112ii−2i−2i−i−i2i2i00000000000000000000−i3i3i3−i3−333−30000000000
χ544-44-4-444-41-24i−4i-111-12-2-2-22-12-112ii−2i−2i−i−i2i2i00000000000000000000i3−i3−i3i33−3−330000000000
χ554-44-4-444-41-2−4i4i-111-12-2-2-22-12-112−i−i2i2iii−2i−2i00000000000000000000−i3i3i3−i33−3−330000000000
χ564-44-4-444-41-2−4i4i-111-12-2-2-22-12-112−i−i2i2iii−2i−2i00000000000000000000i3−i3−i3i3−333−30000000000
χ574-44-4-444-4-214i−4i2-2-22-1111-12-12-2-1−2i−2iii2i2i−i−i000000000000−i3i3i3−i33−3−33000000000000000000
χ584-44-4-444-4-214i−4i2-2-22-1111-12-12-2-1−2i−2iii2i2i−i−i000000000000i3−i3−i3i3−333−3000000000000000000
χ594-44-4-444-4-21−4i4i2-2-22-1111-12-12-2-12i2i−i−i−2i−2iii000000000000−i3i3i3−i3−333−3000000000000000000
χ604-44-4-444-4-21−4i4i2-2-22-1111-12-12-2-12i2i−i−i−2i−2iii000000000000i3−i3−i3i33−3−33000000000000000000
χ614-4-4-44-444-210022-22-1-1-11-1-21-221003-300-3300002-2002-200-1-111-1-111000000000000000000
χ624-4-4-44-444-210022-22-1-1-11-1-21-221003-300-330000-2200-220011-1-111-1-1000000000000000000
χ634-4-4-44-444-210022-22-1-1-11-1-21-22100-33003-300002-200-2200-1-11111-1-1000000000000000000
χ644-4-4-44-444-210022-22-1-1-11-1-21-22100-33003-30000-22002-20011-1-1-1-111000000000000000000
χ65888-8-8-8-88-4200-4-44422-2-2-24-2-4420000000000000000000000000000000000000000000000
χ6688-88-8-88-82-4002-222-444-4-4-24-2-240000000000000000000000000000000000000000000000
χ6788-8-888-8-82-4002-2-2-2-44-4442-4-2240000000000000000000000000000000000000000000000
χ6888-8-888-8-8-4200-44442-22-2-2-424-4-20000000000000000000000000000000000000000000000
χ698-8888-8-8-8-42004-44-4-22-2-22-4244-20000000000000000000000000000000000000000000000
χ708-8-88-88-882-400-2-2-2244-44-4-2422-40000000000000000000000000000000000000000000000
χ718-8-88-88-88-4200444-4-2-22-224-2-4-420000000000000000000000000000000000000000000000
χ728-8-8-88-8882-400-2-22-2444-442-42-2-40000000000000000000000000000000000000000000000

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