Finite Group Databasebeta

← Group #11773374

Character table — Group #11773374

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111114444444444444444448888888899999999121212121212121212121212121212122424242424242424242424242424242436363636363636363636
order122222223344666666666666661212121212121212222222224444444444444444121212121212121212121212121212124444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
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
χ51111111111-1-111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
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
χ81111111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1
χ9111-1-1-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i111-1-1-11-1ii−i−i11-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−ii−iii−i−i11-1-1
χ10111-1-1-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i111-1-1-11-1ii−i−i11-1-1-1-111−i−iiiii−i−i11-1-1-1-111−i−iiii−i−i−iii-1-111
χ11111-1-1-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i111-1-1-11-1−i−iii-1-11111-1-1ii−i−i−i−iii-1-11111-1-1ii−i−ii−i−i−iii-1-111
χ12111-1-1-11-111i−i1111-1-1-1-1-1-111-1-1ii−i−iii−i−i111-1-1-11-1−i−iii-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iiii−iii−i−i11-1-1
χ13111-1-1-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii111-1-1-11-1ii−i−i-1-11111-1-1−i−iiiii−i−i-1-11111-1-1−i−iii−iiii−i−i-1-111
χ14111-1-1-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii111-1-1-11-1ii−i−i-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−i−ii−i−iii11-1-1
χ15111-1-1-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii111-1-1-11-1−i−iii11-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−ii−i−iii11-1-1
χ16111-1-1-11-111−ii1111-1-1-1-1-1-111-1-1−i−iii−i−iii111-1-1-11-1−i−iii11-1-1-1-111ii−i−i−i−iii11-1-1-1-111ii−i−i−iiii−i−i-1-111
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
χ19222-2-2-22-2222i−2i2222-2-2-2-2-2-222-2-22i2i−2i−2i2i2i−2i−2i-2-2-2222-2200000000000000000000000000000000−2i2i00000000
χ20222-2-2-22-222−2i2i2222-2-2-2-2-2-222-2-2−2i−2i2i2i−2i−2i2i2i-2-2-2222-22000000000000000000000000000000002i−2i00000000
χ2122-222-2-2-2220022-2-22222-2-2-2-2-2-20000000022-22-2-2-2200000000000000000000000000000000002-22-20000
χ2222-222-2-2-2220022-2-22222-2-2-2-2-2-20000000022-22-2-2-220000000000000000000000000000000000-22-220000
χ2322-222-2-2-2220022-2-22222-2-2-2-2-2-200000000-2-22-2222-2000000000000000000000000000000000000002-22-2
χ2422-222-2-2-2220022-2-22222-2-2-2-2-2-200000000-2-22-2222-200000000000000000000000000000000000000-22-22
χ2522-2-2-22-22220022-2-2-2-2-2-222-2-2220000000022-2-222-2-200000000000000000000000000000000002i−2i−2i2i0000
χ2622-2-2-22-22220022-2-2-2-2-2-222-2-2220000000022-2-222-2-20000000000000000000000000000000000−2i2i2i−2i0000
χ2722-2-2-22-22220022-2-2-2-2-2-222-2-22200000000-2-222-2-222000000000000000000000000000000000000002-2-22
χ2822-2-2-22-22220022-2-2-2-2-2-222-2-22200000000-2-222-2-22200000000000000000000000000000000000000-222-2
χ292-222-22-2-22200-2-22222-2-22-2-2-22-2000000002-2222-2-2-22-22-20000000000002-22-20000000000000000000000
χ302-222-22-2-22200-2-22222-2-22-2-2-22-2000000002-2222-2-2-2-22-22000000000000-22-220000000000000000000000
χ312-222-22-2-22200-2-22222-2-22-2-2-22-200000000-22-2-2-222200002i−2i2i−2i0000000000002i−2i2i−2i000000000000000000
χ322-222-22-2-22200-2-22222-2-22-2-2-22-200000000-22-2-2-22220000−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000
χ332-22-22-2-222200-2-222-2-222-22-2-2-22000000002-22-2-22-222i−2i−2i2i0000000000002i−2i−2i2i0000000000000000000000
χ342-22-22-2-222200-2-222-2-222-22-2-2-22000000002-22-2-22-22−2i2i2i−2i000000000000−2i2i2i−2i0000000000000000000000
χ352-22-22-2-222200-2-222-2-222-22-2-2-2200000000-22-222-22-200002i−2i−2i2i0000000000002i−2i−2i2i000000000000000000
χ362-22-22-2-222200-2-222-2-222-22-2-2-2200000000-22-222-22-20000−2i2i2i−2i000000000000−2i2i2i−2i000000000000000000
χ372-2-22-2-2222200-2-2-2-222-2-2-2222-22000000002-2-22-222-2000000002-22-20000000000002-22-200000000000000
χ382-2-22-2-2222200-2-2-2-222-2-2-2222-22000000002-2-22-222-200000000-22-22000000000000-22-2200000000000000
χ392-2-22-2-2222200-2-2-2-222-2-2-2222-2200000000-222-22-2-220000000000002-22-20000000000002-22-20000000000
χ402-2-22-2-2222200-2-2-2-222-2-2-2222-2200000000-222-22-2-22000000000000-22-22000000000000-22-220000000000
χ412-2-2-2222-22200-2-2-2-2-2-2222-2222-2000000002-2-2-22-222000000002-2-220000000000002-2-2200000000000000
χ422-2-2-2222-22200-2-2-2-2-2-2222-2222-2000000002-2-2-22-22200000000-222-2000000000000-222-200000000000000
χ432-2-2-2222-22200-2-2-2-2-2-2222-2222-200000000-2222-22-2-20000000000002i−2i−2i2i0000000000002i−2i−2i2i0000000000
χ442-2-2-2222-22200-2-2-2-2-2-2222-2222-200000000-2222-22-2-2000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000000000
χ45444444441-2441-21-21-21-21-21-2-21-2-2-2-2111100000000000000002222222200000000-1-1-1-1-1-1-1-10000000000
χ46444444441-2441-21-21-21-21-21-2-21-2-2-2-211110000000000000000-2-2-2-2-2-2-2-200000000111111110000000000
χ47444444441-2-4-41-21-21-21-21-21-2-212222-1-1-1-100000000000000002222-2-2-2-200000000-1-1-1-111110000000000
χ48444444441-2-4-41-21-21-21-21-21-2-212222-1-1-1-10000000000000000-2-2-2-22222000000001111-1-1-1-10000000000
χ4944444444-2144-21-21-21-21-21-211-21111-2-2-2-2000000002222222200000000-1-1-1-1-1-1-1-1000000000000000000
χ5044444444-2144-21-21-21-21-21-211-21111-2-2-2-200000000-2-2-2-2-2-2-2-20000000011111111000000000000000000
χ5144444444-21-4-4-21-21-21-21-21-211-2-1-1-1-12222000000002222-2-2-2-200000000-1-1-1-11111000000000000000000
χ5244444444-21-4-4-21-21-21-21-21-211-2-1-1-1-1222200000000-2-2-2-22222000000001111-1-1-1-1000000000000000000
χ53444-4-4-44-41-24i−4i1-21-2-12-12-121-22-1−2i−2i2i2iii−i−i000000000000000022-2-22i2i−2i−2i00000000-1-111−i−iii0000000000
χ54444-4-4-44-41-24i−4i1-21-2-12-12-121-22-1−2i−2i2i2iii−i−i0000000000000000-2-222−2i−2i2i2i0000000011-1-1ii−i−i0000000000
χ55444-4-4-44-41-2−4i4i1-21-2-12-12-121-22-12i2i−2i−2i−i−iii000000000000000022-2-2−2i−2i2i2i00000000-1-111ii−i−i0000000000
χ56444-4-4-44-41-2−4i4i1-21-2-12-12-121-22-12i2i−2i−2i−i−iii0000000000000000-2-2222i2i−2i−2i0000000011-1-1−i−iii0000000000
χ57444-4-4-44-4-214i−4i-21-212-12-12-1-21-12ii−i−i−2i−2i2i2i000000002i2i−2i−2i22-2-200000000−i−iii-1-111000000000000000000
χ58444-4-4-44-4-214i−4i-21-212-12-12-1-21-12ii−i−i−2i−2i2i2i00000000−2i−2i2i2i-2-22200000000ii−i−i11-1-1000000000000000000
χ59444-4-4-44-4-21−4i4i-21-212-12-12-1-21-12−i−iii2i2i−2i−2i000000002i2i−2i−2i-2-22200000000−i−iii11-1-1000000000000000000
χ60444-4-4-44-4-21−4i4i-21-212-12-12-1-21-12−i−iii2i2i−2i−2i00000000−2i−2i2i2i22-2-200000000ii−i−i-1-111000000000000000000
χ614-444-44-4-4-21002-1-21-212-1-2-12-1123i−3i3i−3i0000000000002-22-22i−2i2i−2i00000000-11-11−ii−ii000000000000000000
χ624-444-44-4-4-21002-1-21-212-1-2-12-1123i−3i3i−3i000000000000-22-22−2i2i−2i2i000000001-11-1i−ii−i000000000000000000
χ634-444-44-4-4-21002-1-21-212-1-2-12-112−3i3i−3i3i0000000000002-22-2−2i2i−2i2i00000000-11-11i−ii−i000000000000000000
χ644-444-44-4-4-21002-1-21-212-1-2-12-112−3i3i−3i3i000000000000-22-222i−2i2i−2i000000001-11-1−ii−ii000000000000000000
χ654-44-44-4-44-21002-1-212-1-21212-1-1-23-3-330000000000002i−2i−2i2i−2i2i2i−2i00000000−iii−ii−i−ii000000000000000000
χ664-44-44-4-44-21002-1-212-1-21212-1-1-23-3-33000000000000−2i2i2i−2i2i−2i−2i2i00000000i−i−ii−iii−i000000000000000000
χ674-44-44-4-44-21002-1-212-1-21212-1-1-2-333-30000000000002i−2i−2i2i2i−2i−2i2i00000000−iii−i−iii−i000000000000000000
χ684-44-44-4-44-21002-1-212-1-21212-1-1-2-333-3000000000000−2i2i2i−2i−2i2i2i−2i00000000i−i−iii−i−ii000000000000000000
χ694-4-44-4-4441-200-12-121-2-12-1-21-22100003-33-300000000000000002-22-22-22-200000000-11-11-11-110000000000
χ704-4-44-4-4441-200-12-121-2-12-1-21-22100003-33-30000000000000000-22-22-22-22000000001-11-11-11-10000000000
χ714-4-44-4-4441-200-12-121-2-12-1-21-2210000-33-3300000000000000002-22-2-22-2200000000-11-111-11-10000000000
χ724-4-44-4-4441-200-12-121-2-12-1-21-2210000-33-330000000000000000-22-222-22-2000000001-11-1-11-110000000000
χ734-4-4-4444-41-200-12-12-121-2121-2-2-100003i−3i−3i3i00000000000000002-2-222i−2i−2i2i00000000-111-1−iii−i0000000000
χ744-4-4-4444-41-200-12-12-121-2121-2-2-100003i−3i−3i3i0000000000000000-222-2−2i2i2i−2i000000001-1-11i−i−ii0000000000
χ754-4-4-4444-41-200-12-12-121-2121-2-2-10000−3i3i3i−3i00000000000000002-2-22−2i2i2i−2i00000000-111-1i−i−ii0000000000
χ764-4-4-4444-41-200-12-12-121-2121-2-2-10000−3i3i3i−3i0000000000000000-222-22i−2i−2i2i000000001-1-11−iii−i0000000000
χ7788-888-8-8-82-4002-4-242-42-4-24-244-20000000000000000000000000000000000000000000000000000000000
χ7888-888-8-8-8-4200-424-2-42-424-24-2-240000000000000000000000000000000000000000000000000000000000
χ7988-8-8-88-882-4002-4-24-24-242-4-24-420000000000000000000000000000000000000000000000000000000000
χ8088-8-8-88-88-4200-424-24-24-2-424-22-40000000000000000000000000000000000000000000000000000000000
χ818-888-88-8-82-400-242-42-4-2424-24-4-20000000000000000000000000000000000000000000000000000000000
χ828-88-88-8-882-400-242-4-242-4-2-4-24420000000000000000000000000000000000000000000000000000000000
χ838-8-88-8-888-42004-24-2-424-242-42-2-40000000000000000000000000000000000000000000000000000000000
χ848-8-8-8888-8-42004-24-24-2-42-4-2-42240000000000000000000000000000000000000000000000000000000000

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