Finite Group Databasebeta

← Group #11794667

Character table — Group #11794667

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order12222222334466666666666666121212121212121244442244444466661212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
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
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ1122-222-2-2-2222-222-2-2-22-2-2-2-2222-22222-2-2-2-2000000000000000000000000000000−i2−i2i2i2−i2−i2i2i2
χ1222-222-2-2-2222-222-2-2-22-2-2-2-2222-22222-2-2-2-2000000000000000000000000000000i2i2−i2−i2i2i2−i2−i2
χ1322-222-2-2-222-2222-2-2-22-2-2-2-2222-2-2-2-2-22222000000000000000000000000000000−i2−i2i2i2i2i2−i2−i2
χ1422-222-2-2-222-2222-2-2-22-2-2-2-2222-2-2-2-2-22222000000000000000000000000000000i2i2−i2−i2−i2−i2i2i2
χ1522-2-2-22-2222002-22-2-2222-2-2-2-2-220000000022-2-2002i−2i000000002i2i−2i−2i000000000000000000
χ1622-2-2-22-2222002-22-2-2222-2-2-2-2-220000000022-2-200−2i2i00000000−2i−2i2i2i000000000000000000
χ1722-2-2-22-2222002-22-2-2222-2-2-2-2-2200000000-2-2222-200000022-2-20000000000000000000000
χ1822-2-2-22-2222002-22-2-2222-2-2-2-2-2200000000-2-222-22000000-2-2220000000000000000000000
χ192-22-222-2-22200-2222-2-22-22-2-2-22-2000000002-22-20000000000000000000000000000002i−2i2i−2i
χ202-22-222-2-22200-2222-2-22-22-2-2-22-2000000002-22-2000000000000000000000000000000−2i2i−2i2i
χ212-22-222-2-22200-2222-2-22-22-2-2-22-200000000-22-22000000000000000000000000002i−2i2i−2i0000
χ222-22-222-2-22200-2222-2-22-22-2-2-22-200000000-22-2200000000000000000000000000−2i2i−2i2i0000
χ232-2-22-222-22200-2-22-22-22-2-2222-2-2000000002-2-2200002i−2i00000000002i2i−2i−2i00000000000000
χ242-2-22-222-22200-2-22-22-22-2-2222-2-2000000002-2-220000−2i2i0000000000−2i−2i2i2i00000000000000
χ252-2-22-222-22200-2-22-22-22-2-2222-2-200000000-222-20000002i−2i0000000000002i2i−2i−2i0000000000
χ262-2-22-222-22200-2-22-22-22-2-2222-2-200000000-222-2000000−2i2i000000000000−2i−2i2i2i0000000000
χ272-2-2-22-2222200-22-2-22-2-22-22-2-2220000000000000000000000000000000000002-22−2−222−2−22
χ282-2-2-22-2222200-22-2-22-2-22-22-2-2220000000000000000000000000000000000002-2−222−2−222−2
χ292-2-2-22-2222200-22-2-22-2-22-22-2-222000000000000000000000000000000000000-222−2−22−222−2
χ302-2-2-22-2222200-22-2-22-2-22-22-2-222000000000000000000000000000000000000-22−222−22−2−22
χ31444444441-24411111-2-2-2-2-21-2-2111-2-211-2-200000000222200000000-1-1-1-1-1-1-1-10000000000
χ32444444441-24411111-2-2-2-2-21-2-2111-2-211-2-200000000-2-2-2-200000000111111110000000000
χ33444444441-2-4-411111-2-2-2-2-21-2-21-1-122-1-1220000000022-2-200000000-1-1-1-111110000000000
χ34444444441-2-4-411111-2-2-2-2-21-2-21-1-122-1-12200000000-2-222000000001111-1-1-1-10000000000
χ3544444444-2144-2-2-2-2-211111-211-2-2-211-2-211000022220000-1-1-1-1-1-1-1-1000000000000000000
χ3644444444-2144-2-2-2-2-211111-211-2-2-211-2-2110000-2-2-2-2000011111111000000000000000000
χ3744444444-21-4-4-2-2-2-2-211111-211-222-1-122-1-1000022-2-20000-1-1-1-11111000000000000000000
χ3844444444-21-4-4-2-2-2-2-211111-211-222-1-122-1-10000-2-22200001111-1-1-1-1000000000000000000
χ39444-4-4-44-444004-4-4444-4-444-4-4-4-40000000000000000000000000000000000000000000000
χ40444-4-4-44-4-2100-222-2-21-1-1112-1-12003i−3i003i−3i000000000000−i3i3−i3i33−33−3000000000000000000
χ41444-4-4-44-4-2100-222-2-21-1-1112-1-12003i−3i003i−3i000000000000i3−i3i3−i3−33−33000000000000000000
χ42444-4-4-44-4-2100-222-2-21-1-1112-1-1200−3i3i00−3i3i000000000000−i3i3−i3i3−33−33000000000000000000
χ43444-4-4-44-4-2100-222-2-21-1-1112-1-1200−3i3i00−3i3i000000000000i3−i3i3−i33−33−3000000000000000000
χ4444-444-4-4-41-24-411-1-1-1-222221-2-2-111-2-2-1-122000000000000000000003−33−33−33−30000000000
χ4544-444-4-4-41-24-411-1-1-1-222221-2-2-111-2-2-1-12200000000000000000000−33−33−33−330000000000
χ4644-444-4-4-41-2-4411-1-1-1-222221-2-2-1-1-12211-2-2000000000000000000003−33−3−33−330000000000
χ4744-444-4-4-41-2-4411-1-1-1-222221-2-2-1-1-12211-2-200000000000000000000−33−333−33−30000000000
χ4844-444-4-4-4-214-4-2-22221-1-1-1-1-2112-2-21122-1-1000000000000−i3i3i3−i3−i3i3i3−i3000000000000000000
χ4944-444-4-4-4-214-4-2-22221-1-1-1-1-2112-2-21122-1-1000000000000i3−i3−i3i3i3−i3−i3i3000000000000000000
χ5044-444-4-4-4-21-44-2-22221-1-1-1-1-211222-1-1-2-211000000000000−i3i3i3−i3i3−i3−i3i3000000000000000000
χ5144-444-4-4-4-21-44-2-22221-1-1-1-1-211222-1-1-2-211000000000000i3−i3−i3i3−i3i3i3−i3000000000000000000
χ5244-4-4-44-44-2100-22-222111-1-12-1-1-2003i−3i00−3i3i00002-22i−2i0000-1-111−i−iii000000000000000000
χ5344-4-4-44-44-2100-22-222111-1-12-1-1-2003i−3i00−3i3i0000-22−2i2i000011-1-1ii−i−i000000000000000000
χ5444-4-4-44-44-2100-22-222111-1-12-1-1-200−3i3i003i−3i00002-2−2i2i0000-1-111ii−i−i000000000000000000
χ5544-4-4-44-44-2100-22-222111-1-12-1-1-200−3i3i003i−3i0000-222i−2i000011-1-1−i−iii000000000000000000
χ564-444-4-4-441-200-1-1-11-122-2-221-2213-3003-30000000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ574-444-4-4-441-200-1-1-11-122-2-221-2213-3003-30000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ584-444-4-4-441-200-1-1-11-122-2-221-221-3300-330000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ594-444-4-4-441-200-1-1-11-122-2-221-221-3300-330000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ604-444-4-4-444400-4-4-44-4-4-444-444-440000000000000000000000000000000000000000000000
χ614-4-44-444-41-200-1-11-112-222-21-22-13-300-3300000000002i−2i2i−2i00000000−i−iii−i−iii0000000000
χ624-4-44-444-41-200-1-11-112-222-21-22-13-300-330000000000−2i2i−2i2i00000000ii−i−iii−i−i0000000000
χ634-4-44-444-41-200-1-11-112-222-21-22-1-33003-300000000002i−2i−2i2i00000000−i−iiiii−i−i0000000000
χ644-4-44-444-41-200-1-11-112-222-21-22-1-33003-30000000000−2i2i2i−2i00000000ii−i−i−i−iii0000000000
χ65888-8-8-88-82-4002-2-222-444-4-4-244-20000000000000000000000000000000000000000000000
χ6688-8-8-88-882-4002-22-2-2-4-4-444-24420000000000000000000000000000000000000000000000
χ678-888-8-8-88-4200444-44-2-222-2-42-2-40000000000000000000000000000000000000000000000
χ688-88-888-8-82-400-2222-24-44-44-24-4-20000000000000000000000000000000000000000000000
χ698-88-888-8-8-42004-4-4-44-22-22-24-2240000000000000000000000000000000000000000000000
χ708-8-88-888-8-420044-44-4-22-2-22-42-240000000000000000000000000000000000000000000000
χ718-8-8-88-8882-400-22-2-2244-44-4-24-420000000000000000000000000000000000000000000000
χ728-8-8-88-888-42004-444-4-2-22-224-22-40000000000000000000000000000000000000000000000

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