Finite Group Databasebeta

← Group #11795287

Character table — Group #11795287

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11111111444444444444444444888888881818181824242424242424242424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212444444444444121212121212121212121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ92222222222222222222222222222222222-2-2-2-2000000000000000000000000-2-200000000
χ102222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002200000000
χ1122-22-2-22-2220022222-2-2-2-2-22-2-2-20000000022-2-2002-20000000022-2-2000000000000000000
χ1222-22-2-22-2220022222-2-2-2-2-22-2-2-20000000022-2-200-2200000000-2-222000000000000000000
χ1322-22-2-22-2220022222-2-2-2-2-22-2-2-200000000-2-2220000002i−2i000000002i2i−2i−2i00000000000000
χ1422-22-2-22-2220022222-2-2-2-2-22-2-2-200000000-2-222000000−2i2i00000000−2i−2i2i2i00000000000000
χ1522-2-22-2-22222i−2i22-2-2-222-2-2-2-222-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000−i2−i2i2i222−2−2
χ1622-2-22-2-22222i−2i22-2-2-222-2-2-2-222-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000i2i2−i2−i2−2−222
χ1722-2-22-2-2222−2i2i22-2-2-222-2-2-2-222-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000−i2−i2i2i2−2−222
χ1822-2-22-2-2222−2i2i22-2-2-222-2-2-2-222-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000i2i2−i2−i222−2−2
χ192-222-2-2-222200-2-22-2-22-222-222-2-20000000000000000000000000000000000002-2−i2i2−i2i2−i2i2−i2i2
χ202-222-2-2-222200-2-22-2-22-222-222-2-20000000000000000000000000000000000002-2i2−i2i2−i2i2−i2i2−i2
χ212-222-2-2-222200-2-22-2-22-222-222-2-2000000000000000000000000000000000000-22−i2i2−i2i2i2−i2i2−i2
χ222-222-2-2-222200-2-22-2-22-222-222-2-2000000000000000000000000000000000000-22i2−i2i2−i2−i2i2−i2i2
χ232-22-22-22-22200-2-2-222-2222-2-2-22-2000000002-22-22-200000022-2-20000000000000000000000
χ242-22-22-22-22200-2-2-222-2222-2-2-22-2000000002-22-2-22000000-2-2220000000000000000000000
χ252-22-22-22-22200-2-2-222-2222-2-2-22-200000000-22-2200002i−2i000000000000002i2i−2i−2i0000000000
χ262-22-22-22-22200-2-2-222-2222-2-2-22-200000000-22-220000−2i2i00000000000000−2i−2i2i2i0000000000
χ272-2-2-2-22222200-2-2-2222-2-2-22-22-22000000002-2-22000000000000000000000000002-2-220000
χ282-2-2-2-22222200-2-2-2222-2-2-22-22-22000000002-2-2200000000000000000000000000-222-20000
χ292-2-2-2-22222200-2-2-2222-2-2-22-22-2200000000-222-20000000000000000000000000000002i−2i−2i2i
χ302-2-2-2-22222200-2-2-2222-2-2-22-22-2200000000-222-2000000000000000000000000000000−2i2i2i−2i
χ31444444441-2441-211-21-21-2-2-2-211-2-2-2-21111000022002200-1-1-1-100000000-1-1-1-10000000000
χ32444444441-2441-211-21-21-2-2-2-211-2-2-2-211110000-2-200-2-20011110000000011110000000000
χ33444444441-2-4-41-211-21-21-2-2-2-2112222-1-1-1-100002200-2-200-1-1-1-10000000011110000000000
χ34444444441-2-4-41-211-21-21-2-2-2-2112222-1-1-1-10000-2-2002200111100000000-1-1-1-10000000000
χ3544444444-2144-21-2-21-21-21111-2-21111-2-2-2-20000002200220000-1-1-1-1-1-1-1-100000000000000
χ3644444444-2144-21-2-21-21-21111-2-21111-2-2-2-2000000-2-200-2-200001111111100000000000000
χ3744444444-21-4-4-21-2-21-21-21111-2-2-1-1-1-122220000002200-2-20000-1-1-1-1111100000000000000
χ3844444444-21-4-4-21-2-21-21-21111-2-2-1-1-1-12222000000-2-2002200001111-1-1-1-100000000000000
χ39444-4-44-4-4440044-4-4-4-4-4444-4-4-440000000000000000000000000000000000000000000000
χ40444-4-44-4-4-2100-2122-12-1-211-1-12-23-33-3000000000000000000003−33−33−33−300000000000000
χ41444-4-44-4-4-2100-2122-12-1-211-1-12-23-33-300000000000000000000−33−33−33−3300000000000000
χ42444-4-44-4-4-2100-2122-12-1-211-1-12-2-33-33000000000000000000003−33−3−33−3300000000000000
χ43444-4-44-4-4-2100-2122-12-1-211-1-12-2-33-3300000000000000000000−33−333−33−300000000000000
χ4444-44-4-44-4-2100-21-2-212-12-1-11-1223i−3i−3i3i00000000002-2002i−2i0000-1-111−i−iii00000000000000
χ4544-44-4-44-4-2100-21-2-212-12-1-11-1223i−3i−3i3i0000000000-2200−2i2i000011-1-1ii−i−i00000000000000
χ4644-44-4-44-4-2100-21-2-212-12-1-11-122−3i3i3i−3i00000000002-200−2i2i0000-1-111ii−i−i00000000000000
χ4744-44-4-44-4-2100-21-2-212-12-1-11-122−3i3i3i−3i0000000000-22002i−2i000011-1-1−i−iii00000000000000
χ4844-4-44-4-441-24i−4i1-2-1-121-2-1222-21-1−2i−2i2i2iii−i−i000000000000−i3i3−i3i3000000003−33−30000000000
χ4944-4-44-4-441-24i−4i1-2-1-121-2-1222-21-1−2i−2i2i2iii−i−i000000000000i3−i3i3−i300000000−33−330000000000
χ5044-4-44-4-441-2−4i4i1-2-1-121-2-1222-21-12i2i−2i−2i−i−iii000000000000−i3i3−i3i300000000−33−330000000000
χ5144-4-44-4-441-2−4i4i1-2-1-121-2-1222-21-12i2i−2i−2i−i−iii000000000000i3−i3i3−i3000000003−33−30000000000
χ5244-4-44-4-44-214i−4i-2122-1-212-1-1-11-22ii−i−i−2i−2i2i2i00000000000000003−3−33i3−i3−i3i300000000000000
χ5344-4-44-4-44-214i−4i-2122-1-212-1-1-11-22ii−i−i−2i−2i2i2i0000000000000000−333−3−i3i3i3−i300000000000000
χ5444-4-44-4-44-21−4i4i-2122-1-212-1-1-11-22−i−iii2i2i−2i−2i00000000000000003−3−33−i3i3i3−i300000000000000
χ5544-4-44-4-44-21−4i4i-2122-1-212-1-1-11-22−i−iii2i2i−2i−2i0000000000000000−333−3i3−i3−i3i300000000000000
χ564-44-44-44-41-200-12-11-2-1-21-22221-100003i−3i3i−3i00002-2002i−2i00-1-11100000000−i−iii0000000000
χ574-44-44-44-41-200-12-11-2-1-21-22221-100003i−3i3i−3i0000-2200−2i2i0011-1-100000000ii−i−i0000000000
χ584-44-44-44-41-200-12-11-2-1-21-22221-10000−3i3i−3i3i00002-200−2i2i00-1-11100000000ii−i−i0000000000
χ594-44-44-44-41-200-12-11-2-1-21-22221-10000−3i3i−3i3i0000-22002i−2i0011-1-100000000−i−iii0000000000
χ604-4-4444-4-41-200-121-12-1-2-12-2-221100003-3-33000000000000−i3i3i3−i300000000−i3i3i3−i30000000000
χ614-4-4444-4-41-200-121-12-1-2-12-2-221100003-3-33000000000000i3−i3−i3i300000000i3−i3−i3i30000000000
χ624-4-4444-4-41-200-121-12-1-2-12-2-22110000-333-3000000000000−i3i3i3−i300000000i3−i3−i3i30000000000
χ634-4-4444-4-41-200-121-12-1-2-12-2-22110000-333-3000000000000i3−i3−i3i300000000−i3i3i3−i30000000000
χ644-4-4444-4-44400-4-44-4-4-44-4-444-4440000000000000000000000000000000000000000000000
χ65888-8-88-8-82-4002-4-2-24-242-4-444-220000000000000000000000000000000000000000000000
χ6688-88-8-88-82-4002-422-4-24-244-44-2-20000000000000000000000000000000000000000000000
χ678-888-8-8-882-400-242-24242-44-4-4-2-20000000000000000000000000000000000000000000000
χ688-888-8-8-88-42004-2-44-2-4-2-42-222440000000000000000000000000000000000000000000000
χ698-88-88-88-8-42004-24-4242-42-2-2-2-440000000000000000000000000000000000000000000000
χ708-8-8888-8-8-42004-2-44-2424-222-2-4-40000000000000000000000000000000000000000000000
χ718-8-8-8-88882-400-24-22-424-24-44-4-220000000000000000000000000000000000000000000000
χ728-8-8-8-8888-42004-24-42-4-24-22-224-40000000000000000000000000000000000000000000000

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