Finite Group Databasebeta

← Group #11785224

Character table — Group #11785224

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222244444444444444444444444488881212121212121212121212121212121212121212121212121818181824242424242424242424242436363636363636363636
order122222224444336666666666666612121212121212121212121244444444121212121212121212121212121212124444444412121212121212124488888888
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
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1
χ91-1-1-11-11111-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1i−ii−iii−i−iii−i−i1-1ii−i−iii−i−i
χ101-1-1-11-11111-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1−ii−ii−i−iii−i−iii1-1−i−iii−i−iii
χ111-1-1-11-11111-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1i−ii−iii−i−iii−i−i1-1−i−iii−i−iii
χ121-1-1-11-11111-1-11111-1-1-1-1-1-1-11111-11111-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1−ii−ii−i−iii−i−iii1-1ii−i−iii−i−i
χ131-1-1-11-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1i−i−iiii−i−i−i−iii-11ii−i−i−i−iii
χ141-1-1-11-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1−iii−i−i−iiiii−i−i-11−i−iiiii−i−i
χ151-1-1-11-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1i−i−iiii−i−i−i−iii-11−i−iiiii−i−i
χ161-1-1-11-111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1−iii−i−i−iiiii−i−i-11ii−i−i−i−iii
χ172222222222222222222222222222222222222222000000000000000000000000-2-2-2-2000000000000-2-200000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000000000002200000000
χ19222-22-2-2-22-22-222-2-22222-2-2-222-2-2-222-2-222-2-22-22-20000000000000000000000000000000000000000002−22−22−22−2
χ20222-22-2-2-22-22-222-2-22222-2-2-222-2-2-222-2-222-2-22-22-2000000000000000000000000000000000000000000−22−22−22−22
χ21222-22-2-2-2-22-2222-2-22222-2-2-222-2-2-2-2-222-2-222-22-220000000000000000000000000000000000000000002−22−2−22−22
χ22222-22-2-2-2-22-2222-2-22222-2-2-222-2-2-2-2-222-2-222-22-22000000000000000000000000000000000000000000−22−222−22−2
χ2322-22-2-22-20000222-222-2-222-2-2-22-2-200000000000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i2-2-220000000000000000000000
χ2422-22-2-22-20000222-222-2-222-2-2-22-2-20000000000000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i2-2-220000000000000000000000
χ2522-22-2-22-20000222-222-2-222-2-2-22-2-20000000000002-22-2000022-2-222-2-200000000-222-20000000000000000000000
χ2622-22-2-22-20000222-222-2-222-2-2-22-2-2000000000000-22-220000-2-222-2-22200000000-222-20000000000000000000000
χ272-22-2-222-20000222-2-2-222-2-22-2-22-2200000000000000002i−2i−2i2i000000002i2i−2i−2i−2i−2i2i2i2-22-20000000000000000000000
χ282-22-2-222-20000222-2-2-222-2-22-2-22-220000000000000000−2i2i2i−2i00000000−2i−2i2i2i2i2i−2i−2i2-22-20000000000000000000000
χ292-22-2-222-20000222-2-2-222-2-22-2-22-220000000000002-2-22000022-2-2-2-22200000000-22-220000000000000000000000
χ302-22-2-222-20000222-2-2-222-2-22-2-22-22000000000000-222-20000-2-22222-2-200000000-22-220000000000000000000000
χ312-2-2222-2-22-2-2222-2-2-2-2-2-222222-2-2222-2-2-2-2222-2-22000000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ322-2-2222-2-22-2-2222-2-2-2-2-2-222222-2-2222-2-2-2-2222-2-22000000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ332-2-2222-2-2-222-222-2-2-2-2-2-222222-2-22-2-22222-2-2-222-2000000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ342-2-2222-2-2-222-222-2-2-2-2-2-222222-2-22-2-22222-2-2-222-2000000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ352-2-2-22-22222-2-22222-2-2-2-2-2-2-22222-22222-2-2-2-222-2-2000000000000000000000000-2-222000000000000-2200000000
χ362-2-2-22-222-2-2222222-2-2-2-2-2-2-22222-2-2-2-2-22222-2-222000000000000000000000000-2-2220000000000002-200000000
χ374444444444441-2111-21-21-2-21-2-2-21-2-2-2-2-2-2-2-2111100000000000000000000000000002222-1-1-1-1-1-1-1-10000000000
χ384444444444441-2111-21-21-2-21-2-2-21-2-2-2-2-2-2-2-211110000000000000000000000000000-2-2-2-2111111110000000000
χ39444444444444-21-2-2-21-21-211-2111-211111111-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000
χ40444444444444-21-2-2-21-21-211-2111-211111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000
χ4144444444-4-4-4-41-2111-21-21-2-21-2-2-2122222222-1-1-1-1000000000000000000000000000022-2-2-1-1-1-111110000000000
χ4244444444-4-4-4-41-2111-21-21-2-21-2-2-2122222222-1-1-1-10000000000000000000000000000-2-2221111-1-1-1-10000000000
χ4344444444-4-4-4-4-21-2-2-21-21-211-2111-2-1-1-1-1-1-1-1-122222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000
χ4444444444-4-4-4-4-21-2-2-21-21-211-2111-2-1-1-1-1-1-1-1-12222-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000
χ45444-44-4-4-44-44-41-2-1-11-21-2-1221-222-1-2-222-2-2221-11-1000000000000000000000000000000003−33−33−33−30000000000
χ46444-44-4-4-44-44-41-2-1-11-21-2-1221-222-1-2-222-2-2221-11-100000000000000000000000000000000−33−33−33−330000000000
χ47444-44-4-4-44-44-4-2122-21-212-1-1-21-1-1211-1-111-1-1-22-22000000003−33−33−33−33−33−33−33−300000000000000000000000000
χ48444-44-4-4-44-44-4-2122-21-212-1-1-21-1-1211-1-111-1-1-22-2200000000−33−33−33−33−33−33−33−3300000000000000000000000000
χ49444-44-4-4-4-44-441-2-1-11-21-2-1221-222-122-2-222-2-2-11-11000000000000000000000000000000003−33−3−33−330000000000
χ50444-44-4-4-4-44-441-2-1-11-21-2-1221-222-122-2-222-2-2-11-1100000000000000000000000000000000−33−333−33−30000000000
χ51444-44-4-4-4-44-44-2122-21-212-1-1-21-1-12-1-111-1-1112-22-2000000003−33−33−33−3−33−33−33−3300000000000000000000000000
χ52444-44-4-4-4-44-44-2122-21-212-1-1-21-1-12-1-111-1-1112-22-200000000−33−33−33−333−33−33−33−300000000000000000000000000
χ5344-44-4-44-40000-21-22-212-1-21-12-11-123i−3i3i−3i3i−3i3i−3i00002-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii00000000000000000000000000
χ5444-44-4-44-40000-21-22-212-1-21-12-11-123i−3i3i−3i3i−3i3i−3i0000-22-22−2i2i−2i2i11-1-111-1-1ii−i−iii−i−i00000000000000000000000000
χ5544-44-4-44-40000-21-22-212-1-21-12-11-12−3i3i−3i3i−3i3i−3i3i00002-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i00000000000000000000000000
χ5644-44-4-44-40000-21-22-212-1-21-12-11-12−3i3i−3i3i−3i3i−3i3i0000-22-222i−2i2i−2i11-1-111-1-1−i−iii−i−iii00000000000000000000000000
χ5744-4-4-44-44000044-4444-4-4-4-44-4-4-44400000000000000000000000000000000000000000000000000000000000000
χ5844-4-4-44-440000-212-2-212-12-112-1-11-23i−3i−3i3i3i−3i−3i3i0000000000003−3−333−3−33i3−i3−i3i3i3−i3−i3i300000000000000000000000000
χ5944-4-4-44-440000-212-2-212-12-112-1-11-23i−3i−3i3i3i−3i−3i3i000000000000−333−3−333−3−i3i3i3−i3−i3i3i3−i300000000000000000000000000
χ6044-4-4-44-440000-212-2-212-12-112-1-11-2−3i3i3i−3i−3i3i3i−3i0000000000003−3−333−3−33−i3i3i3−i3−i3i3i3−i300000000000000000000000000
χ6144-4-4-44-440000-212-2-212-12-112-1-11-2−3i3i3i−3i−3i3i3i−3i000000000000−333−3−333−3i3−i3−i3i3i3−i3−i3i300000000000000000000000000
χ624-444-4-4-44000044-44-4-44444-4-4-4-44-400000000000000000000000000000000000000000000000000000000000000
χ634-444-4-4-440000-212-22-1-21-21-12-1-1123i−3i−3i3i−3i3i3i−3i0000000000003−3−33−333−3i3−i3−i3i3−i3i3i3−i300000000000000000000000000
χ644-444-4-4-440000-212-22-1-21-21-12-1-1123i−3i−3i3i−3i3i3i−3i000000000000−333−33−3−33−i3i3i3−i3i3−i3−i3i300000000000000000000000000
χ654-444-4-4-440000-212-22-1-21-21-12-1-112−3i3i3i−3i3i−3i−3i3i0000000000003−3−33−333−3−i3i3i3−i3i3−i3−i3i300000000000000000000000000
χ664-444-4-4-440000-212-22-1-21-21-12-1-112−3i3i3i−3i3i−3i−3i3i000000000000−333−33−3−33i3−i3−i3i3−i3i3i3−i300000000000000000000000000
χ674-44-4-444-40000-21-222-1-212-112-11-1-23i−3i3i−3i−3i3i−3i3i00002-2-222i−2i−2i2i-1-11111-1-1−i−iiiii−i−i00000000000000000000000000
χ684-44-4-444-40000-21-222-1-212-112-11-1-23i−3i3i−3i−3i3i−3i3i0000-222-2−2i2i2i−2i11-1-1-1-111ii−i−i−i−iii00000000000000000000000000
χ694-44-4-444-40000-21-222-1-212-112-11-1-2−3i3i−3i3i3i−3i3i−3i00002-2-22−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii00000000000000000000000000
χ704-44-4-444-40000-21-222-1-212-112-11-1-2−3i3i−3i3i3i−3i3i−3i0000-222-22i−2i−2i2i11-1-1-1-111−i−iiiii−i−i00000000000000000000000000
χ714-4-4444-4-44-4-441-2-1-1-12-121-2-21-2221-2-22222-2-21-1-1100000000000000000000000000000000−i3i3i3−i3−i3i3i3−i30000000000
χ724-4-4444-4-44-4-441-2-1-1-12-121-2-21-2221-2-22222-2-21-1-1100000000000000000000000000000000i3−i3−i3i3i3−i3−i3i30000000000
χ734-4-4444-4-44-4-44-21222-12-1-211-21-1-1-211-1-1-1-111-222-2000000003−33−3−33−333−33−3−33−3300000000000000000000000000
χ744-4-4444-4-44-4-44-21222-12-1-211-21-1-1-211-1-1-1-111-222-200000000−33−333−33−3−33−333−33−300000000000000000000000000
χ754-4-4444-4-4-444-41-2-1-1-12-121-2-21-222122-2-2-2-222-111-100000000000000000000000000000000−i3i3i3−i3i3−i3−i3i30000000000
χ764-4-4444-4-4-444-41-2-1-1-12-121-2-21-222122-2-2-2-222-111-100000000000000000000000000000000i3−i3−i3i3−i3i3i3−i30000000000
χ774-4-4444-4-4-444-4-21222-12-1-211-21-1-1-2-1-11111-1-12-2-22000000003−33−3−33−33−33−333−33−300000000000000000000000000
χ784-4-4444-4-4-444-4-21222-12-1-211-21-1-1-2-1-11111-1-12-2-2200000000−33−333−33−33−33−3−33−3300000000000000000000000000
χ794-4-4-44-44444-4-41-211-12-12-1221-2-2-2-1-2-2-2-2222211-1-100000000000000000000000000002i−2i2i−2i−i−iii−i−iii0000000000
χ804-4-4-44-44444-4-41-211-12-12-1221-2-2-2-1-2-2-2-2222211-1-10000000000000000000000000000−2i2i−2i2iii−i−iii−i−i0000000000
χ814-4-4-44-44444-4-4-21-2-22-12-12-1-1-211121111-1-1-1-1-2-22222-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000
χ824-4-4-44-44444-4-4-21-2-22-12-12-1-1-211121111-1-1-1-1-2-222-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000000000
χ834-4-4-44-444-4-4441-211-12-12-1221-2-2-2-12222-2-2-2-2-1-11100000000000000000000000000002i−2i−2i2i−i−iiiii−i−i0000000000
χ844-4-4-44-444-4-4441-211-12-12-1221-2-2-2-12222-2-2-2-2-1-1110000000000000000000000000000−2i2i2i−2iii−i−i−i−iii0000000000
χ854-4-4-44-444-4-444-21-2-22-12-12-1-1-21112-1-1-1-1111122-2-222-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000000000
χ864-4-4-44-444-4-444-21-2-22-12-12-1-1-21112-1-1-1-1111122-2-2-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000
χ8788-88-8-88-800002-42-22-4-242-44-24-44-200000000000000000000000000000000000000000000000000000000000000
χ8888-8-8-88-8800002-4-222-4-24-24-4-244-4200000000000000000000000000000000000000000000000000000000000000
χ898-888-8-8-8800002-4-22-242-42-44-244-4-200000000000000000000000000000000000000000000000000000000000000
χ908-88-8-888-800002-42-2-242-4-24-4-24-44200000000000000000000000000000000000000000000000000000000000000

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