Finite Group Databasebeta

← Group #11773321

Character table — Group #11773321

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order12222222334466666666666666121212121212121222222222222244444444444466661212121212121212121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ61111111111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ71111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ9111-1-11-1-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i111-1-1-11-111-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1ii−i−ii−i11-1-1ii−i−i
χ10111-1-11-1-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i111-1-1-11-111-1-1-1-111ii−i−i−i−iii11-1-1ii−i−i-1-111−i−iiii−i-1-111−i−iii
χ11111-1-11-1-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i111-1-1-11-1-1-11111-1-1−i−iiiii−i−i-1-111−i−iii11-1-1ii−i−ii−i-1-111−i−iii
χ12111-1-11-1-111i−i11-1-1111-1-1-1-11-1-1iiii−i−i−i−i111-1-1-11-1-1-111-1-111−i−iii−i−iii-1-111−i−iii-1-111−i−iiii−i11-1-1ii−i−i
χ13111-1-11-1-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii111-1-1-11-111-1-111-1-1−i−iii−i−iii11-1-1−i−iii11-1-1−i−iii−ii11-1-1−i−iii
χ14111-1-11-1-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii111-1-1-11-111-1-1-1-111−i−iiiii−i−i11-1-1−i−iii-1-111ii−i−i−ii-1-111ii−i−i
χ15111-1-11-1-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii111-1-1-11-1-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i11-1-1−i−iii−ii-1-111ii−i−i
χ16111-1-11-1-111−ii11-1-1111-1-1-1-11-1-1−i−i−i−iiiii111-1-1-11-1-1-111-1-111ii−i−iii−i−i-1-111ii−i−i-1-111ii−i−i−ii11-1-1−i−iii
χ172222222222222222222222222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-200000000
χ182222222222-2-222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002200000000
χ19222-2-22-2-2222i−2i22-2-2222-2-2-2-22-2-22i2i2i2i−2i−2i−2i−2i-2-2-2222-2200000000000000000000000000000000−2i2i00000000
χ20222-2-22-2-222−2i2i22-2-2222-2-2-2-22-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2222-22000000000000000000000000000000002i−2i00000000
χ2122-222-2-2-222002-2222-2-222-2-2-2-2-20000000022-222-2-2-22-22-20000000000002-22-20000000000000000000000
χ2222-222-2-2-222002-2222-2-222-2-2-2-2-20000000022-222-2-2-2-22-22000000000000-22-220000000000000000000000
χ2322-222-2-2-222002-2222-2-222-2-2-2-2-200000000-2-22-2-2222000000002i−2i2i−2i000000002i−2i2i−2i000000000000000000
χ2422-222-2-2-222002-2222-2-222-2-2-2-2-200000000-2-22-2-222200000000−2i2i−2i2i00000000−2i2i−2i2i000000000000000000
χ2522-2-2-2-22222002-2-2-22-2-2-2-222-2220000000022-2-2-22-222-2-220000000000002-2-220000000000000000000000
χ2622-2-2-2-22222002-2-2-22-2-2-2-222-2220000000022-2-2-22-22-222-2000000000000-222-20000000000000000000000
χ2722-2-2-2-22222002-2-2-22-2-2-2-222-22200000000-2-2222-22-2000000002-2-22000000002-2-22000000000000000000
χ2822-2-2-2-22222002-2-2-22-2-2-2-222-22200000000-2-2222-22-200000000-222-200000000-222-2000000000000000000
χ292-222-2-22-22200-222-2-22-22-222-2-2-2000000002-222-2-2-2200002i−2i2i−2i00000000000000002i−2i2i−2i00000000000000
χ302-222-2-22-22200-222-2-22-22-222-2-2-2000000002-222-2-2-220000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000000000
χ312-222-2-22-22200-222-2-22-22-222-2-2-200000000-22-2-2222-20000000000002i−2i2i−2i0000000000002i−2i2i−2i0000000000
χ322-222-2-22-22200-222-2-22-22-222-2-2-200000000-22-2-2222-2000000000000−2i2i−2i2i000000000000−2i2i−2i2i0000000000
χ332-22-22-2-222200-22-22-22-2-22-2-2-222000000002-22-222-2-200002i−2i−2i2i00000000000000002i−2i−2i2i00000000000000
χ342-22-22-2-222200-22-22-22-2-22-2-2-222000000002-22-222-2-20000−2i2i2i−2i0000000000000000−2i2i2i−2i00000000000000
χ352-22-22-2-222200-22-22-22-2-22-2-2-22200000000-22-22-2-2220000000000002-2-220000000000002-2-220000000000
χ362-22-22-2-222200-22-22-22-2-22-2-2-22200000000-22-22-2-222000000000000-222-2000000000000-222-20000000000
χ372-2-22-22-222200-2-22-2-2-222-2-2-2222000000002-2-22-222-200000000000000000000000000000000002-22-20000
χ382-2-22-22-222200-2-22-2-2-222-2-2-2222000000002-2-22-222-20000000000000000000000000000000000-22-220000
χ392-2-22-22-222200-2-22-2-2-222-2-2-222200000000-222-22-2-22000000000000000000000000000000000000002-22-2
χ402-2-22-22-222200-2-22-2-2-222-2-2-222200000000-222-22-2-2200000000000000000000000000000000000000-22-22
χ412-2-2-2222-22200-2-2-22-2-22-22222-2-2000000002-2-2-22-22200000000000000000000000000000000002-2-220000
χ422-2-2-2222-22200-2-2-22-2-22-22222-2-2000000002-2-2-22-2220000000000000000000000000000000000-222-20000
χ432-2-2-2222-22200-2-2-22-2-22-22222-2-200000000-2222-22-2-2000000000000000000000000000000000000002i−2i−2i2i
χ442-2-2-2222-22200-2-2-22-2-22-22222-2-200000000-2222-22-2-200000000000000000000000000000000000000−2i2i2i−2i
χ45444444441-2441111-2-2-2-2-21-211-211-2-211-2-200000000000022220000222200000000-1-1-1-1-1-1-1-10000000000
χ46444444441-2441111-2-2-2-2-21-211-211-2-211-2-2000000000000-2-2-2-20000-2-2-2-200000000111111110000000000
χ47444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-12200000000000022220000-2-2-2-200000000-1-1-1-111110000000000
χ48444444441-2-4-41111-2-2-2-2-21-211-2-1-122-1-122000000000000-2-2-2-200002222000000001111-1-1-1-10000000000
χ4944444444-2144-2-2-2-211111-21-2-21-2-211-2-211000000002222000022220000-1-1-1-1-1-1-1-1000000000000000000
χ5044444444-2144-2-2-2-211111-21-2-21-2-211-2-21100000000-2-2-2-20000-2-2-2-2000011111111000000000000000000
χ5144444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-10000000022220000-2-2-2-20000-1-1-1-11111000000000000000000
χ5244444444-21-4-4-2-2-2-211111-21-2-2122-1-122-1-100000000-2-2-2-20000222200001111-1-1-1-1000000000000000000
χ53444-4-44-4-41-24i−4i11-1-1-2-2-222-121-12ii−2i−2i−i−i2i2i00000000000022-2-200002i2i−2i−2i00000000-1-111−i−iii0000000000
χ54444-4-44-4-41-24i−4i11-1-1-2-2-222-121-12ii−2i−2i−i−i2i2i000000000000-2-2220000−2i−2i2i2i0000000011-1-1ii−i−i0000000000
χ55444-4-44-4-41-2−4i4i11-1-1-2-2-222-121-12−i−i2i2iii−2i−2i00000000000022-2-20000−2i−2i2i2i00000000-1-111ii−i−i0000000000
χ56444-4-44-4-41-2−4i4i11-1-1-2-2-222-121-12−i−i2i2iii−2i−2i000000000000-2-22200002i2i−2i−2i0000000011-1-1−i−iii0000000000
χ57444-4-44-4-4-214i−4i-2-222111-1-12-1-22-1−2i−2iii2i2i−i−i0000000022-2-200002i2i−2i−2i0000-1-111−i−iii000000000000000000
χ58444-4-44-4-4-214i−4i-2-222111-1-12-1-22-1−2i−2iii2i2i−i−i00000000-2-2220000−2i−2i2i2i000011-1-1ii−i−i000000000000000000
χ59444-4-44-4-4-21−4i4i-2-222111-1-12-1-22-12i2i−i−i−2i−2iii0000000022-2-20000−2i−2i2i2i0000-1-111ii−i−i000000000000000000
χ60444-4-44-4-4-21−4i4i-2-222111-1-12-1-22-12i2i−i−i−2i−2iii00000000-2-22200002i2i−2i−2i000011-1-1−i−iii000000000000000000
χ6144-444-4-4-4-2100-22-2-21-1-1112-122-1003i−3i003i−3i000000002-22-200002i−2i2i−2i0000-11-11−ii−ii000000000000000000
χ6244-444-4-4-4-2100-22-2-21-1-1112-122-1003i−3i003i−3i00000000-22-220000−2i2i−2i2i00001-11-1i−ii−i000000000000000000
χ6344-444-4-4-4-2100-22-2-21-1-1112-122-100−3i3i00−3i3i000000002-22-20000−2i2i−2i2i0000-11-11i−ii−i000000000000000000
χ6444-444-4-4-4-2100-22-2-21-1-1112-122-100−3i3i00−3i3i00000000-22-2200002i−2i2i−2i00001-11-1−ii−ii000000000000000000
χ6544-4-4-4-444-2100-22221-1-1-1-1-212-21003-300-33000000002-2-2200002-2-220000-111-1-111-1000000000000000000
χ6644-4-4-4-444-2100-22221-1-1-1-1-212-21003-300-3300000000-222-20000-222-200001-1-111-1-11000000000000000000
χ6744-4-4-4-444-2100-22221-1-1-1-1-212-2100-33003-3000000002-2-220000-222-20000-111-11-1-11000000000000000000
χ6844-4-4-4-444-2100-22221-1-1-1-1-212-2100-33003-300000000-222-200002-2-2200001-1-11-111-1000000000000000000
χ694-444-4-44-41-200-111-12-22-221-2-1-123-3003-3000000000000002i−2i2i−2i00002i−2i2i−2i00000000−ii−ii−ii−ii0000000000
χ704-444-4-44-41-200-111-12-22-221-2-1-123-3003-300000000000000−2i2i−2i2i0000−2i2i−2i2i00000000i−ii−ii−ii−i0000000000
χ714-444-4-44-41-200-111-12-22-221-2-1-12-3300-33000000000000002i−2i2i−2i0000−2i2i−2i2i00000000−ii−iii−ii−i0000000000
χ724-444-4-44-41-200-111-12-22-221-2-1-12-3300-3300000000000000−2i2i−2i2i00002i−2i2i−2i00000000i−ii−i−ii−ii0000000000
χ734-44-44-4-441-200-11-112-222-2-12-11-23i−3i00−3i3i000000000000002i−2i−2i2i0000-222-200000000−iii−i1-1-110000000000
χ744-44-44-4-441-200-11-112-222-2-12-11-23i−3i00−3i3i00000000000000−2i2i2i−2i00002-2-2200000000i−i−ii-111-10000000000
χ754-44-44-4-441-200-11-112-222-2-12-11-2−3i3i003i−3i000000000000002i−2i−2i2i00002-2-2200000000−iii−i-111-10000000000
χ764-44-44-4-441-200-11-112-222-2-12-11-2−3i3i003i−3i00000000000000−2i2i2i−2i0000-222-200000000i−i−ii1-1-110000000000
χ7788-888-8-8-82-4002-222-444-4-4-24-2-240000000000000000000000000000000000000000000000000000000000
χ7888-8-8-8-8882-4002-2-2-2-444442-4-22-40000000000000000000000000000000000000000000000000000000000
χ798-888-8-88-8-42004-4-44-22-22-2-4244-20000000000000000000000000000000000000000000000000000000000
χ808-88-88-8-88-42004-44-4-22-2-224-24-420000000000000000000000000000000000000000000000000000000000
χ818-8-88-88-882-400-2-22-244-4-44-2422-40000000000000000000000000000000000000000000000000000000000
χ828-8-88-88-88-420044-44-2-222-24-2-4-420000000000000000000000000000000000000000000000000000000000
χ838-8-8-8888-82-400-2-2-2244-44-42-42-240000000000000000000000000000000000000000000000000000000000
χ848-8-8-8888-8-4200444-4-2-22-22-42-44-20000000000000000000000000000000000000000000000000000000000

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