Finite Group Databasebeta

← Group #11790135

Character table — Group #11790135

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122222244444444888888888888889999161616161616161618181818181818181818181818181818181818181818727272727272
order12224488883366666644121212122424242424242424222212121212121212124444444444888888888888444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1ii−i−iii−i−i-1-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ411111111111111111111111111111111-1-1-1-111111111-1−i−iii−i−iii-1-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ5111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1
χ6111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1-1-1111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1
χ10111111-1-1-1-1111111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-11-11
χ11111111-1-1-1-1111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1ii−i−iii−i−i-11111−i−i−i−iiiii-11i−i−ii
χ12111111-1-1-1-1111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1−i−iii−i−iii-11111iiii−i−i−i−i-11−iii−i
χ13111111-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11
χ14111111-1-1-1-111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-111111111-111-11-1
χ15111111-1-1-1-111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1ii−i−iii−i−i-11111−i−i−i−iiiii1-1−iii−i
χ16111111-1-1-1-111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1−i−iii−i−iii-11111iiii−i−i−i−i1-1i−i−ii
χ172222-2-200002222222200-2-2-2-200000000222200000000-22222-2-2-2-2-2000000000000000000
χ182222-2-200002222222200-2-2-2-200000000222200000000-2-2-2-2-22222-2000000000000000000
χ192222-2-200002222222200-2-2-2-200000000-2-2-2-20000000022i2i−2i−2i−2i−2i2i2i2000000000000000000
χ202222-2-200002222222200-2-2-2-200000000-2-2-2-2000000002−2i−2i2i2i2i2i−2i−2i2000000000000000000
χ2122-2-20022−2−22222-2-2-2-20000002222−2−2−2−22-22-20000000002-22-20000022−2−222−2−222−2−2000000
χ2222-2-20022−2−22222-2-2-2-20000002222−2−2−2−22-22-2000000000-22-220000022−2−2−2−222−2−222000000
χ2322-2-20022−2−22222-2-2-2-20000002222−2−2−2−2-22-220000000002i−2i−2i2i00000−2−222i2i2−i2−i2−i2−i2i2i2000000
χ2422-2-20022−2−22222-2-2-2-20000002222−2−2−2−2-22-22000000000−2i2i2i−2i00000−2−222−i2−i2i2i2i2i2−i2−i2000000
χ2522-2-200−2−2222222-2-2-2-2000000−2−2−2−222222-22-20000000002-22-200000−2−222−2−222−2−222000000
χ2622-2-200−2−2222222-2-2-2-2000000−2−2−2−222222-22-2000000000-22-2200000−2−22222−2−222−2−2000000
χ2722-2-200−2−2222222-2-2-2-2000000−2−2−2−22222-22-220000000002i−2i−2i2i0000022−2−2−i2−i2i2i2i2i2−i2−i2000000
χ2822-2-200−2−2222222-2-2-2-2000000−2−2−2−22222-22-22000000000−2i2i2i−2i0000022−2−2i2i2−i2−i2−i2−i2i2i2000000
χ292-22-22-2000022-2-222-2-20022-2-20000000022-2-200000000-200000000200002-22-22-22-2000000
χ302-22-22-2000022-2-222-2-20022-2-20000000022-2-200000000-20000000020000-22-22-22-22000000
χ312-22-22-2000022-2-222-2-20022-2-200000000-2-22200000000200000000-200002i−2i2i−2i−2i2i−2i2i000000
χ322-22-22-2000022-2-222-2-20022-2-200000000-2-22200000000200000000-20000−2i2i−2i2i2i−2i2i−2i000000
χ332-22-2-222-22-222-2-222-2-200-2-22222-2-222-2-222-2-200000000200000000-22-22-200000000000000
χ342-22-2-222-22-222-2-222-2-200-2-22222-2-222-2-2-2-22200000000-2000000002-22-2200000000000000
χ352-22-2-22-22-2222-2-222-2-200-2-222-2-222-2-22222-2-200000000200000000-2-22-2200000000000000
χ362-22-2-22-22-2222-2-222-2-200-2-222-2-222-2-222-2-22200000000-20000000022-22-200000000000000
χ372-2-22002−2−2222-2-2-2-22200000022−2−2−2−2222-2-2200000000000002-22-202−2−222−2−222−2−22000000
χ382-2-22002−2−2222-2-2-2-22200000022−2−2−2−2222-2-220000000000000-22-2202−2−22−222−2−222−2000000
χ392-2-22002−2−2222-2-2-2-22200000022−2−2−2−222-222-200000000000002i−2i−2i2i0−222−2i2−i2−i2i2−i2i2i2−i2000000
χ402-2-22002−2−2222-2-2-2-22200000022−2−2−2−222-222-20000000000000−2i2i2i−2i0−222−2−i2i2i2−i2i2−i2−i2i2000000
χ412-2-2200−222−222-2-2-2-222000000−2−22222−2−22-2-2200000000000002-22-20−222−2−222−2−222−2000000
χ422-2-2200−222−222-2-2-2-222000000−2−22222−2−22-2-220000000000000-22-220−222−22−2−222−2−22000000
χ432-2-2200−222−222-2-2-2-222000000−2−22222−2−2-222-200000000000002i−2i−2i2i02−2−22−i2i2i2−i2i2−i2−i2i2000000
χ442-2-2200−222−222-2-2-2-222000000−2−22222−2−2-222-20000000000000−2i2i2i−2i02−2−22i2−i2−i2i2−i2i2i2−i2000000
χ4544444444441-21-21-21-2441-21-21-21-21-21-2000011-2-211-2-20000000000000000000000000000
χ4644444444441-21-21-21-2-4-41-21-21-21-21-21-20000-1-122-1-1220000000000000000000000000000
χ474444444444-21-21-21-2144-21-21-21-21-21-210000-2-211-2-2110000000000000000000000000000
χ484444444444-21-21-21-21-4-4-21-21-21-21-21-21000022-1-122-1-10000000000000000000000000000
χ49444444-4-4-4-41-21-21-21-24-41-21-2-12-12-12-12000011-2-2-1-1220000000000000000000000000000
χ50444444-4-4-4-41-21-21-21-2-441-21-2-12-12-12-120000-1-12211-2-20000000000000000000000000000
χ51444444-4-4-4-4-21-21-21-214-4-21-212-12-12-12-10000-2-21122-1-10000000000000000000000000000
χ52444444-4-4-4-4-21-21-21-21-44-21-212-12-12-12-1000022-1-1-2-2110000000000000000000000000000
χ534-44-4-444-44-41-2-121-2-1200-121-21-2-121-2-1200003i−3i003i−3i000000000000000000000000000000
χ544-44-4-444-44-41-2-121-2-1200-121-21-2-121-2-120000−3i3i00−3i3i000000000000000000000000000000
χ554-44-4-444-44-4-212-1-212-1002-1-21-212-1-212-10000003i−3i003i−3i0000000000000000000000000000
χ564-44-4-444-44-4-212-1-212-1002-1-21-212-1-212-1000000−3i3i00−3i3i0000000000000000000000000000
χ574-44-4-44-44-441-2-121-2-1200-121-2-121-2-121-200003i−3i00−3i3i000000000000000000000000000000
χ584-44-4-44-44-441-2-121-2-1200-121-2-121-2-121-20000−3i3i003i−3i000000000000000000000000000000
χ594-44-4-44-44-44-212-1-212-1002-1-212-1-212-1-210000003i−3i00−3i3i0000000000000000000000000000
χ604-44-4-44-44-44-212-1-212-1002-1-212-1-212-1-21000000−3i3i003i−3i0000000000000000000000000000
χ618888-8-800002-42-42-42-400-24-24000000000000000000000000000000000000000000000000
χ628888-8-80000-42-42-42-42004-24-2000000000000000000000000000000000000000000000000
χ6388-8-8004242−42−422-42-4-24-240000002−222−22−222−2220000000000000000000000000000000000000000
χ6488-8-8004242−42−42-42-424-24-2000000−222−22222−222−20000000000000000000000000000000000000000
χ6588-8-800−42−4242422-42-4-24-24000000−222−2222−222−220000000000000000000000000000000000000000
χ6688-8-800−42−424242-42-424-24-200000022−222−2−222−2220000000000000000000000000000000000000000
χ678-88-88-800002-4-242-4-24002-4-24000000000000000000000000000000000000000000000000
χ688-88-88-80000-424-2-424-200-424-2000000000000000000000000000000000000000000000000
χ698-8-880042−42−42422-4-24-242-40000002−22−222−2222−220000000000000000000000000000000000000000
χ708-8-880042−42−4242-424-24-2-42000000−22222−222−2−2220000000000000000000000000000000000000000
χ718-8-8800−424242−422-4-24-242-4000000−2222−222−22−2220000000000000000000000000000000000000000
χ728-8-8800−424242−42-424-24-2-4200000022−2−222−22222−20000000000000000000000000000000000000000

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