Finite Group Databasebeta

← Group #11791049

Character table — Group #11791049

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size11112222224444444488888888888899991818181818181818181818181818181818181818181824242424242424244848484848484848
order1222448888336666661212121224242424242424242222444444444488888888888822224444666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ91-11-11-1ii−i−i11-1-111-1-111-1-1iiii−i−i−i−i11-1-1-1iiii−i−i−i−i1ii−i−i1111-1-1-1-11-11-1i−ii−i1-11-1i−ii−i
χ101-11-11-1ii−i−i11-1-111-1-111-1-1iiii−i−i−i−i11-1-1-1iiii−i−i−i−i1ii−i−i1111-1-1-1-1-11-11−ii−ii-11-11−ii−ii
χ111-11-11-1ii−i−i11-1-111-1-111-1-1iiii−i−i−i−i11-1-1-1−i−i−i−iiiii1ii−i−i-1-1-1-111111-1-11i−i−ii1-1-11i−i−ii
χ121-11-11-1ii−i−i11-1-111-1-111-1-1iiii−i−i−i−i11-1-1-1−i−i−i−iiiii1ii−i−i-1-1-1-11111-111-1−iii−i-111-1−iii−i
χ131-11-11-1−i−iii11-1-111-1-111-1-1−i−i−i−iiiii11-1-1-1iiii−i−i−i−i1−i−iii-1-1-1-111111-1-11−iii−i1-1-11−iii−i
χ141-11-11-1−i−iii11-1-111-1-111-1-1−i−i−i−iiiii11-1-1-1iiii−i−i−i−i1−i−iii-1-1-1-11111-111-1i−i−ii-111-1i−i−ii
χ151-11-11-1−i−iii11-1-111-1-111-1-1−i−i−i−iiiii11-1-1-1−i−i−i−iiiii1−i−iii1111-1-1-1-11-11-1−ii−ii1-11-1−ii−ii
χ161-11-11-1−i−iii11-1-111-1-111-1-1−i−i−i−iiiii11-1-1-1−i−i−i−iiiii1−i−iii1111-1-1-1-1-11-11i−ii−i-11-11i−ii−i
χ17222222222222222222222222222222-2-2-2-2-200000000-2-2-2-2-2000000000000000000000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-200000000-22222000000000000000000000000
χ192222-2-2000022222222-2-2-2-2000000002222-222-2-222-2-2-20000000000000000000000000000
χ202222-2-2000022222222-2-2-2-2000000002222-2-2-222-2-222-20000000000000000000000000000
χ212222-2-2000022222222-2-2-2-200000000-2-2-2-22000000002000022-2-222-2-20000000000000000
χ222222-2-2000022222222-2-2-2-200000000-2-2-2-220000000020000-2-222-2-2220000000000000000
χ2322-2-200i2−i2i2−i22222-2-2-2-20000i2i2−i2−i2i2i2−i2−i22-22-20002i−2i002i−2i0i2−i2i2−i22−22−22−22−20000000000000000
χ2422-2-200i2−i2i2−i22222-2-2-2-20000i2i2−i2−i2i2i2−i2−i22-22-2000−2i2i00−2i2i0i2−i2i2−i2−22−22−22−220000000000000000
χ2522-2-200i2−i2i2−i22222-2-2-2-20000i2i2−i2−i2i2i2−i2−i2-22-2202i−2i002i−2i000−i2i2−i2i22−2−222−2−220000000000000000
χ2622-2-200i2−i2i2−i22222-2-2-2-20000i2i2−i2−i2i2i2−i2−i2-22-220−2i2i00−2i2i000−i2i2−i2i2−222−2−222−20000000000000000
χ2722-2-200−i2i2−i2i22222-2-2-2-20000−i2−i2i2i2−i2−i2i2i22-22-20002i−2i002i−2i0−i2i2−i2i2−22−22−22−220000000000000000
χ2822-2-200−i2i2−i2i22222-2-2-2-20000−i2−i2i2i2−i2−i2i2i22-22-2000−2i2i00−2i2i0−i2i2−i2i22−22−22−22−20000000000000000
χ2922-2-200−i2i2−i2i22222-2-2-2-20000−i2−i2i2i2−i2−i2i2i2-22-2202i−2i002i−2i000i2−i2i2−i2−222−2−222−20000000000000000
χ3022-2-200−i2i2−i2i22222-2-2-2-20000−i2−i2i2i2−i2−i2i2i2-22-220−2i2i00−2i2i000i2−i2i2−i22−2−222−2−220000000000000000
χ312-22-22-22i2i−2i−2i22-2-222-2-222-2-22i2i2i2i−2i−2i−2i−2i-2-222200000000-2−2i−2i2i2i000000000000000000000000
χ322-22-22-2−2i−2i2i2i22-2-222-2-222-2-2−2i−2i−2i−2i2i2i2i2i-2-222200000000-22i2i−2i−2i000000000000000000000000
χ332-22-2-22000022-2-222-2-2-2-2220000000022-2-222i2i−2i−2i−2i−2i2i2i-20000000000000000000000000000
χ342-22-2-22000022-2-222-2-2-2-2220000000022-2-22−2i−2i2i2i2i2i−2i−2i-20000000000000000000000000000
χ352-22-2-22000022-2-222-2-2-2-22200000000-2-222-2000000002000022-2-2-2-2220000000000000000
χ362-22-2-22000022-2-222-2-2-2-22200000000-2-222-20000000020000-2-22222-2-20000000000000000
χ372-2-22002−2−2222-2-2-2-222000022−2−2−2−2222-2-220002-200-2202−2−222−22−2−22−220000000000000000
χ382-2-22002−2−2222-2-2-2-222000022−2−2−2−2222-2-22000-22002-202−2−22−22−222−22−20000000000000000
χ392-2-22002−2−2222-2-2-2-222000022−2−2−2−222-222-202-200-22000−222−22−2−22−222−20000000000000000
χ402-2-22002−2−2222-2-2-2-222000022−2−2−2−222-222-20-22002-2000−222−2−222−22−2−220000000000000000
χ412-2-2200−222−222-2-2-2-2220000−2−22222−2−22-2-220002-200-220−222−2−22−222−22−20000000000000000
χ422-2-2200−222−222-2-2-2-2220000−2−22222−2−22-2-22000-22002-20−222−22−22−2−22−220000000000000000
χ432-2-2200−222−222-2-2-2-2220000−2−22222−2−2-222-202-200-220002−2−22−222−22−2−220000000000000000
χ442-2-2200−222−222-2-2-2-2220000−2−22222−2−2-222-20-22002-20002−2−222−2−22−222−20000000000000000
χ4544444444441-21-21-21-21-21-21-21-21-21-2000000000000000000000000000022002200-1-100-1-1
χ4644444444441-21-21-21-21-21-21-21-21-21-20000000000000000000000000000-2-200-2-200110011
χ474444444444-21-21-21-21-21-21-21-21-21-210000000000000000000000000022002200-1-100-1-100
χ484444444444-21-21-21-21-21-21-21-21-21-2100000000000000000000000000-2-200-2-20011001100
χ49444444-4-4-4-41-21-21-21-21-21-2-12-12-12-1200000000000000000000000000002200-2-200-1-10011
χ50444444-4-4-4-41-21-21-21-21-21-2-12-12-12-120000000000000000000000000000-2-20022001100-1-1
χ51444444-4-4-4-4-21-21-21-21-21-212-12-12-12-1000000000000000000000000002200-2-200-1-1001100
χ52444444-4-4-4-4-21-21-21-21-21-212-12-12-12-100000000000000000000000000-2-20022001100-1-100
χ534-44-44-44i4i−4i−4i1-2-121-2-121-2-12i−2ii−2i−i2i−i2i00000000000000000000000000002-2002i−2i00-1100−ii
χ544-44-44-44i4i−4i−4i1-2-121-2-121-2-12i−2ii−2i−i2i−i2i0000000000000000000000000000-2200−2i2i001-100i−i
χ554-44-44-44i4i−4i−4i-212-1-212-1-212-1−2ii−2ii2i−i2i−i000000000000000000000000002-2002i−2i00-1100−ii00
χ564-44-44-44i4i−4i−4i-212-1-212-1-212-1−2ii−2ii2i−i2i−i00000000000000000000000000-2200−2i2i001-100i−i00
χ574-44-44-4−4i−4i4i4i1-2-121-2-121-2-12−i2i−i2ii−2ii−2i00000000000000000000000000002-200−2i2i00-1100i−i
χ584-44-44-4−4i−4i4i4i1-2-121-2-121-2-12−i2i−i2ii−2ii−2i0000000000000000000000000000-22002i−2i001-100−ii
χ594-44-44-4−4i−4i4i4i-212-1-212-1-212-12i−i2i−i−2ii−2ii000000000000000000000000002-200−2i2i00-1100i−i00
χ604-44-44-4−4i−4i4i4i-212-1-212-1-212-12i−i2i−i−2ii−2ii00000000000000000000000000-22002i−2i001-100−ii00
χ618888-8-800002-42-42-42-4-24-2400000000000000000000000000000000000000000000000000
χ628888-8-80000-42-42-42-424-24-200000000000000000000000000000000000000000000000000
χ6388-8-8004i2−4i24i2−4i22-42-4-24-240000i2−2i2−i22i2i2−2i2−i22i2000000000000000000000000000000000000000000
χ6488-8-8004i2−4i24i2−4i2-42-424-24-20000−2i2i22i2−i2−2i2i22i2−i2000000000000000000000000000000000000000000
χ6588-8-800−4i24i2−4i24i22-42-4-24-240000−i22i2i2−2i2−i22i2i2−2i2000000000000000000000000000000000000000000
χ6688-8-800−4i24i2−4i24i2-42-424-24-200002i2−i2−2i2i22i2−i2−2i2i2000000000000000000000000000000000000000000
χ678-88-8-8800002-4-242-4-24-242-400000000000000000000000000000000000000000000000000
χ688-88-8-880000-424-2-424-24-2-4200000000000000000000000000000000000000000000000000
χ698-8-880042−42−42422-4-24-242-400002−22−222−2222−22000000000000000000000000000000000000000000
χ708-8-880042−42−4242-424-24-2-420000−22222−222−2−222000000000000000000000000000000000000000000
χ718-8-8800−424242−422-4-24-242-40000−2222−222−22−222000000000000000000000000000000000000000000
χ728-8-8800−424242−42-424-24-2-42000022−2−222−22222−2000000000000000000000000000000000000000000

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