Finite Group Databasebeta

← Group #11786443

Character table — Group #11786443

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222244444444444444444444444488881212121212121212121212121212121212121212121212121818181824242424242424242424242436363636363636363636
order122222222222336666666666666666666666666644444444121212121212121212121212121212124444444412121212121212124488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111
χ711111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ9111-1-1-11-111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111i−ii−iii−i−iii−i−i1-111-1-111-1-1
χ10111-1-1-11-111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−ii−ii−i−iii−i−iii1-1-1-111-1-111
χ11111-1-1-11-111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111i−ii−iii−i−iii−i−i1-1-1-111-1-111
χ12111-1-1-11-111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111−ii−ii−i−iii−i−iii1-111-1-111-1-1
χ13111-1-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111i−i−iiii−i−i−i−iii-1111-1-1-1-111
χ14111-1-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−iii−i−i−iiiii−i−i-11-1-11111-1-1
χ15111-1-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111i−i−iiii−i−i−i−iii-11-1-11111-1-1
χ16111-1-1-11-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−iii−i−i−iiiii−i−i-1111-1-1-1-111
χ172222222222222222222222222222222222222222000000000000000000000000-2-2-2-2000000000000-2-200000000
χ1822222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2222-2-2-2-2000000000000000000000000-2-2-2-20000000000002200000000
χ19222-2-2-22-222-2-222222222-2-2-2-2-22222-2-2-2-2-2-2-222-2-200000000000000000000000022-2-2000000000000-2200000000
χ20222-2-2-22-2-2-22222222222-2-2-2-2-2-2-2-2-22222-2-2-2-2-22200000000000000000000000022-2-20000000000002-200000000
χ2122-222-2-2-22-22-22222-2-2-2-22222-222-2-222-2-2-2-2-22-22-20000000000000000000000000000000000000000002−22−22−22−2
χ2222-222-2-2-22-22-22222-2-2-2-22222-222-2-222-2-2-2-2-22-22-2000000000000000000000000000000000000000000−22−22−22−22
χ2322-222-2-2-2-22-222222-2-2-2-22222-2-2-222-2-222-2-2-2-22-220000000000000000000000000000000000000000002−22−2−22−22
χ2422-222-2-2-2-22-222222-2-2-2-22222-2-2-222-2-222-2-2-2-22-22000000000000000000000000000000000000000000−22−222−22−2
χ2522-2-2-22-222-2-222222-2-2-2-2-2-2-2-2222-2-2-2-2222222-2-220000000000000000000000000000000000000000002−2−222−2−22
χ2622-2-2-22-222-2-222222-2-2-2-2-2-2-2-2222-2-2-2-2222222-2-22000000000000000000000000000000000000000000−222−2−222−2
χ2722-2-2-22-22-222-22222-2-2-2-2-2-2-2-22-2-22222-2-2222-222-20000000000000000000000000000000000000000002−2−22−222−2
χ2822-2-2-22-22-222-22222-2-2-2-2-2-2-2-22-2-22222-2-2222-222-2000000000000000000000000000000000000000000−222−22−2−22
χ292-2-22-222-2000022-2-222-2-222-2-22000000002-2-2000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i2-22-20000000000000000000000
χ302-2-22-222-2000022-2-222-2-222-2-22000000002-2-200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i2-22-20000000000000000000000
χ312-2-22-222-2000022-2-222-2-222-2-22000000002-2-200002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-22-220000000000000000000000
χ322-2-22-222-2000022-2-222-2-222-2-22000000002-2-20000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-22-220000000000000000000000
χ332-2-2-22-222000022-2-222-2-2-2-222-200000000-222000000002-2-220000000022-2-2-2-222-222-20000000000000000000000
χ342-2-2-22-222000022-2-222-2-2-2-222-200000000-22200000000-222-200000000-2-22222-2-2-222-20000000000000000000000
χ352-2-2-22-222000022-2-222-2-2-2-222-200000000-22200002-2-22000022-2-2-2-222000000002-2-220000000000000000000000
χ362-2-2-22-222000022-2-222-2-2-2-222-200000000-2220000-222-20000-2-22222-2-2000000002-2-220000000000000000000000
χ374444444444441-21-21-21-21-21-2111111111-2-21-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ384444444444441-21-21-21-21-21-2111111111-2-21-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000
χ39444444444444-21-21-21-21-21-21-2-2-2-2-2-2-2-2-211-2111100000000000000000000000000002222-1-1-1-1-1-1-1-10000000000
χ40444444444444-21-21-21-21-21-21-2-2-2-2-2-2-2-2-211-211110000000000000000000000000000-2-2-2-2111111110000000000
χ4144444444-4-4-4-41-21-21-21-21-21-21-1-1-1-1-1-1-1-1-2-2122222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000
χ4244444444-4-4-4-41-21-21-21-21-21-21-1-1-1-1-1-1-1-1-2-212222-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000
χ4344444444-4-4-4-4-21-21-21-21-21-21-22222222211-2-1-1-1-1000000000000000000000000000022-2-2-1-1-1-111110000000000
χ4444444444-4-4-4-4-21-21-21-21-21-21-22222222211-2-1-1-1-10000000000000000000000000000-2-2221111-1-1-1-10000000000
χ45444-4-4-44-444-4-41-21-21-21-2-12-12-11111-1-1-1-122-1-2-2222i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000000000000000000000
χ46444-4-4-44-444-4-41-21-21-21-2-12-12-11111-1-1-1-122-1-2-222−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000
χ47444-4-4-44-444-4-4-21-21-21-212-12-12-2-2-2-22222-1-1211-1-100000000000000000000000000002i−2i2i−2i−i−iii−i−iii0000000000
χ48444-4-4-44-444-4-4-21-21-21-212-12-12-2-2-2-22222-1-1211-1-10000000000000000000000000000−2i2i−2i2iii−i−iii−i−i0000000000
χ49444-4-4-44-4-4-4441-21-21-21-2-12-12-1-1-1-1-1111122-122-2-22i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000
χ50444-4-4-44-4-4-4441-21-21-21-2-12-12-1-1-1-1-1111122-122-2-2−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000
χ51444-4-4-44-4-4-444-21-21-21-212-12-122222-2-2-2-2-1-12-1-11100000000000000000000000000002i−2i−2i2i−i−iiiii−i−i0000000000
χ52444-4-4-44-4-4-444-21-21-21-212-12-122222-2-2-2-2-1-12-1-1110000000000000000000000000000−2i2i2i−2iii−i−i−i−iii0000000000
χ5344-444-4-4-44-44-41-21-2-12-121-21-2-111-1-111-1-122-1-22-22000000003−33−33−33−33−33−33−33−300000000000000000000000000
χ5444-444-4-4-44-44-41-21-2-12-121-21-2-111-1-111-1-122-1-22-2200000000−33−33−33−33−33−33−33−3300000000000000000000000000
χ5544-444-4-4-44-44-4-21-212-12-1-21-212-2-222-2-222-1-121-11-1000000000000000000000000000000003−33−33−33−30000000000
χ5644-444-4-4-44-44-4-21-212-12-1-21-212-2-222-2-222-1-121-11-100000000000000000000000000000000−33−33−33−330000000000
χ5744-444-4-4-4-44-441-21-2-12-121-21-2-1-1-111-1-11122-12-22-2000000003−33−33−33−3−33−33−33−3300000000000000000000000000
χ5844-444-4-4-4-44-441-21-2-12-121-21-2-1-1-111-1-11122-12-22-200000000−33−33−33−333−33−33−33−300000000000000000000000000
χ5944-444-4-4-4-44-44-21-212-12-1-21-21222-2-222-2-2-1-12-11-11000000000000000000000000000000003−33−3−33−330000000000
χ6044-444-4-4-4-44-44-21-212-12-1-21-21222-2-222-2-2-1-12-11-1100000000000000000000000000000000−33−333−33−30000000000
χ6144-4-4-44-444-4-441-21-2-12-12-12-12111-1-1-1-111-2-21-222-200000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000
χ6244-4-4-44-444-4-441-21-2-12-12-12-12111-1-1-1-111-2-21-222-200000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000
χ6344-4-4-44-444-4-44-21-212-12-12-12-1-2-2-22222-2-211-21-1-1100000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ6444-4-4-44-444-4-44-21-212-12-12-12-1-2-2-22222-2-211-21-1-1100000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ6544-4-4-44-44-444-41-21-2-12-12-12-121-1-11111-1-1-2-212-2-2200000000−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000
χ6644-4-4-44-44-444-41-21-2-12-12-12-121-1-11111-1-1-2-212-2-2200000000i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000
χ6744-4-4-44-44-444-4-21-212-12-12-12-1-222-2-2-2-22211-2-111-100000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ6844-4-4-44-44-444-4-21-212-12-12-12-1-222-2-2-2-22211-2-111-100000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ694-444-4-4-4400001-2-12-121-21-2-12-13-33-33-33-32-21000000000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i300000000000000000000000000
χ704-444-4-4-4400001-2-12-121-21-2-12-13-33-33-33-32-21000000000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i300000000000000000000000000
χ714-444-4-4-4400001-2-12-121-21-2-12-1-33-33-33-332-21000000000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i300000000000000000000000000
χ724-444-4-4-4400001-2-12-121-21-2-12-1-33-33-33-332-21000000000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i300000000000000000000000000
χ734-444-4-4-44000044-4-4-4-44444-4-4-400000000-444000000000000000000000000000000000000000000000000000000
χ744-44-444-4-400001-2-12-121-2-121-213-33-3-33-33-22-10000000000003−3−33−333−33−3−33−333−300000000000000000000000000
χ754-44-444-4-400001-2-12-121-2-121-213-33-3-33-33-22-1000000000000−333−33−3−33−333−33−3−3300000000000000000000000000
χ764-44-444-4-400001-2-12-121-2-121-21-33-333-33-3-22-10000000000003−3−33−333−3−333−33−3−3300000000000000000000000000
χ774-44-444-4-400001-2-12-121-2-121-21-33-333-33-3-22-1000000000000−333−33−3−333−3−33−333−300000000000000000000000000
χ784-44-444-4-4000044-4-4-4-444-4-4444000000004-4-4000000000000000000000000000000000000000000000000000000
χ794-4-44-444-400001-2-121-2-121-2-1213-3-333-3-33-22-100002i−2i2i−2i2i−2i2i−2i−i−iii−i−iii−i−iii−i−iii00000000000000000000000000
χ804-4-44-444-400001-2-121-2-121-2-1213-3-333-3-33-22-10000−2i2i−2i2i−2i2i−2i2iii−i−iii−i−iii−i−iii−i−i00000000000000000000000000
χ814-4-44-444-400001-2-121-2-121-2-121-333-3-333-3-22-100002i−2i2i−2i−2i2i−2i2i−i−iii−i−iiiii−i−iii−i−i00000000000000000000000000
χ824-4-44-444-400001-2-121-2-121-2-121-333-3-333-3-22-10000−2i2i−2i2i2i−2i2i−2iii−i−iii−i−i−i−iii−i−iii00000000000000000000000000
χ834-4-4-44-44400001-2-121-2-12-121-2-13-3-33-333-32-2100002-2-222-2-22-1-11111-1-1-1-11111-1-100000000000000000000000000
χ844-4-4-44-44400001-2-121-2-12-121-2-13-3-33-333-32-210000-222-2-222-211-1-1-1-11111-1-1-1-11100000000000000000000000000
χ854-4-4-44-44400001-2-121-2-12-121-2-1-333-33-3-332-2100002-2-22-222-2-1-11111-1-111-1-1-1-11100000000000000000000000000
χ864-4-4-44-44400001-2-121-2-12-121-2-1-333-33-3-332-210000-222-22-2-2211-1-1-1-111-1-11111-1-100000000000000000000000000
χ878-888-8-8-880000-424-24-2-42-424-2400000000-22-4000000000000000000000000000000000000000000000000000000
χ888-88-888-8-80000-424-24-2-424-2-42-4000000002-24000000000000000000000000000000000000000000000000000000
χ898-8-88-888-80000-424-2-424-2-424-2-4000000002-24000000000000000000000000000000000000000000000000000000
χ908-8-8-88-8880000-424-2-424-24-2-42400000000-22-4000000000000000000000000000000000000000000000000000000

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