Finite Group Databasebeta

← Group #11775863

Character table — Group #11775863

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888881616161616161616181818181818363636363672727272
order12223333444466666666666648888121212121212121212121212121212122488121212122424242424242424242424242424242424242424242424242424242424242424666612121212224444488882488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1
χ61111111111111111111111111-1-1-1-1111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ911111111-1-1-1-11111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-111-1-111-1ii−i−i-11i−i
χ1011111111-1-1-1-11111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1i−i1111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-111-1-11−i−iii1-1−ii
χ1111111111-1-1-1-11111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−ii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111-1-111-1ii−i−i1-1−ii
χ1211111111-1-1-1-11111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11−ii1111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-111-1-11−i−iii-11i−i
χ1311111111-1-1-1-11111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-111-1-111-1−i−iii-11−ii
χ1411111111-1-1-1-11111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1−ii1111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-111-1-11ii−i−i1-1i−i
χ1511111111-1-1-1-11111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111-1-111-1−i−iii1-1i−i
χ1611111111-1-1-1-11111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11i−i1111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-111-1-11ii−i−i-11−ii
χ172222222222-2-2222222222222-2000022222222-2-2-2-2-2-2-2-20000-2-2-2-200000000000000000000000000000000000000002222-2-2-200000000
χ182222222222-2-2222222222222-2000022222222-2-2-2-2-2-2-2-20000-2-2-2-20000000000000000000000000000000000000000-2-2-2-222200000000
χ1922222222-2-222222222222222-20000-2-2-2-2-2-2-2-2222222220000-2-2-2-2000000000000000000000000000000000000000022-2-2-2-2200000000
χ2022222222-2-222222222222222-20000-2-2-2-2-2-2-2-2222222220000-2-2-2-20000000000000000000000000000000000000000-2-22222-200000000
χ2122222-1-1-1222222-1-1-1-1-1-12-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1000000000000000
χ2222222-1-1-1222222-1-1-1-1-1-12-1-1-12222222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2111-2111000000000000000
χ2322222-1-1-1222222-1-1-1-1-1-12-1-1-12-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122-2-22-1-1-1-2-2111111-2-2111111-2-2111111-2-21111112-1-1-12-1-1-1000000000000000
χ2422222-1-1-1222222-1-1-1-1-1-12-1-1-12-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2222-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111000000000000000
χ2522222-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-122i2i−2i−2i-2-2111111-2-21111112-22i−2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2-1-1-1-2111000000000000000
χ2622222-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-122i2i−2i−2i-2-2111111-2-2111111-22−2i2i2-1-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii−2i−2iiiiiii2i2i−i−i−i−i−i−i-21112-1-1-1000000000000000
χ2722222-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-12−2i−2i2i2i-2-2111111-2-21111112-2−2i2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i2-1-1-1-2111000000000000000
χ2822222-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-12−2i−2i2i2i-2-2111111-2-2111111-222i−2i2-1-1-1−2i−2iiiiiii2i2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i−2i−2iiiiiii-21112-1-1-1000000000000000
χ292222-12-1-12222-1-122-1-1-1-1-12-1-122222-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1000000000000000
χ302222-12-1-12222-1-122-1-1-1-1-12-1-122222-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211111-2111-211000000000000000
χ312222-12-1-12222-1-122-1-1-1-1-12-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-122-2-2-12-1-111-2-2111111-2-2111111-2-2111111-2-21111-12-1-1-12-1-1000000000000000
χ322222-12-1-12222-1-122-1-1-1-1-12-1-12-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-1-2-222-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-211000000000000000
χ332222-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-122i2i−2i−2i11-2-2111111-2-211112-22i−2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii-12-1-11-211000000000000000
χ342222-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-122i2i−2i−2i11-2-2111111-2-21111-22−2i2i-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiiiii−2i−2iiiii−i−i2i2i−i−i−i−i1-211-12-1-1000000000000000
χ352222-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-12−2i−2i2i2i11-2-2111111-2-211112-2−2i2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−iii−2i−2iiiii−i−i2i2i−i−i−i−i-12-1-11-211000000000000000
χ362222-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-12−2i−2i2i2i11-2-2111111-2-21111-222i−2i-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i−i−i2i2i−i−i−i−iii−2i−2iiiii1-211-12-1-1000000000000000
χ372222-1-12-12222-1-1-1-122-1-1-1-12-122222-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1000000000000000
χ382222-1-12-12222-1-1-1-122-1-1-1-12-122222-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-21000000000000000
χ392222-1-12-12222-1-1-1-122-1-1-1-12-12-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-122-2-2-1-12-11111-2-2111111-2-2111111-2-2111111-2-211-1-12-1-1-12-1000000000000000
χ402222-1-12-12222-1-1-1-122-1-1-1-12-12-2-2-2-2-1-1-1-122-1-1-1-1-1-122-1-1-2-222-1-12-11111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-21000000000000000
χ412222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-122i2i−2i−2i1111-2-2111111-2-2112-22i−2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii-1-12-111-21000000000000000
χ422222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-122i2i−2i−2i1111-2-2111111-2-211-22−2i2i-1-12-1−i−i−i−i2i2i−i−iiiii−2i−2iiiiiii−2i−2iii−i−i−i−i2i2i−i−i11-21-1-12-1000000000000000
χ432222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-12−2i−2i2i2i1111-2-2111111-2-2112-2−2i2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−iiiii−2i−2iii−i−i−i−i2i2i−i−i-1-12-111-21000000000000000
χ442222-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-12−2i−2i2i2i1111-2-2111111-2-211-222i−2i-1-12-1iiii−2i−2iii−i−i−i−i2i2i−i−i−i−i−i−i2i2i−i−iiiii−2i−2iii11-21-1-12-1000000000000000
χ452222-1-1-122222-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12000000000000000
χ462222-1-1-122222-1-1-1-1-1-122-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2111-2111-2000000000000000
χ472222-1-1-122222-1-1-1-1-1-122-1-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-1-1-12111111-2-2111111-2-2111111-2-2111111-2-2-1-1-12-1-1-12000000000000000
χ482222-1-1-122222-1-1-1-1-1-122-1-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122-2-222-1-1-12111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2000000000000000
χ492222-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1222i2i−2i−2i111111-2-2111111-2-22-22i−2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i-1-1-12111-2000000000000000
χ502222-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1222i2i−2i−2i111111-2-2111111-2-2-22−2i2i-1-1-12−i−i−i−i−i−i2i2iiiiiii−2i−2iiiiiii−2i−2i−i−i−i−i−i−i2i2i111-2-1-1-12000000000000000
χ512222-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-122−2i−2i2i2i111111-2-2111111-2-22-2−2i2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2iiiiiii−2i−2i−i−i−i−i−i−i2i2i-1-1-12111-2000000000000000
χ522222-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-122−2i−2i2i2i111111-2-2111111-2-2-222i−2i-1-1-12iiiiii−2i−2i−i−i−i−i−i−i2i2i−i−i−i−i−i−i2i2iiiiiii−2i−2i111-2-1-1-12000000000000000
χ5322-2-22222002i−2i2-22-22-22-2-2-2-2-201+i−1−i1−i−1+i000000002i−2i2i−2i2i−2i2i−2i000000001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000000000000000002-22i−2i01−i−1+i1+i−1−i0000
χ5422-2-22222002i−2i2-22-22-22-2-2-2-2-201+i−1−i1−i−1+i000000002i−2i2i−2i2i−2i2i−2i000000001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i00000000000000000000000000-22−2i2i0−1+i1−i−1−i1+i0000
χ5522-2-22222002i−2i2-22-22-22-2-2-2-2-20−1−i1+i−1+i1−i000000002i−2i2i−2i2i−2i2i−2i00000000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000000000000000002-22i−2i0−1+i1−i−1−i1+i0000
χ5622-2-22222002i−2i2-22-22-22-2-2-2-2-20−1−i1+i−1+i1−i000000002i−2i2i−2i2i−2i2i−2i00000000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i00000000000000000000000000-22−2i2i01−i−1+i1+i−1−i0000
χ5722-2-2222200−2i2i2-22-22-22-2-2-2-2-201−i−1+i1+i−1−i00000000−2i2i−2i2i−2i2i−2i2i000000001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i000000000000000000000000002-2−2i2i01+i−1−i1−i−1+i0000
χ5822-2-2222200−2i2i2-22-22-22-2-2-2-2-201−i−1+i1+i−1−i00000000−2i2i−2i2i−2i2i−2i2i000000001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i00000000000000000000000000-222i−2i0−1−i1+i−1+i1−i0000
χ5922-2-2222200−2i2i2-22-22-22-2-2-2-2-20−1+i1−i−1−i1+i00000000−2i2i−2i2i−2i2i−2i2i00000000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i000000000000000000000000002-2−2i2i0−1−i1+i−1+i1−i0000
χ6022-2-2222200−2i2i2-22-22-22-2-2-2-2-20−1+i1−i−1−i1+i00000000−2i2i−2i2i−2i2i−2i2i00000000−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i00000000000000000000000000-222i−2i01+i−1−i1−i−1+i0000
χ6144444-2-2-244-4-444-2-2-2-2-2-24-2-2-2-4000044-2-2-2-2-2-2-4-42222220000-42220000000000000000000000000000000000000000000000000000000
χ6244444-2-2-2-4-44444-2-2-2-2-2-24-2-2-2-40000-4-422222244-2-2-2-2-2-20000-42220000000000000000000000000000000000000000000000000000000
χ634444-24-2-244-4-4-2-244-2-2-2-2-24-2-2-40000-2-244-2-2-2-222-4-4222200002-4220000000000000000000000000000000000000000000000000000000
χ644444-24-2-2-4-444-2-244-2-2-2-2-24-2-2-4000022-4-42222-2-244-2-2-2-200002-4220000000000000000000000000000000000000000000000000000000
χ654444-2-24-244-4-4-2-2-2-244-2-2-2-24-2-40000-2-2-2-244-2-22222-4-422000022-420000000000000000000000000000000000000000000000000000000
χ664444-2-24-2-4-444-2-2-2-244-2-2-2-24-2-400002222-4-422-2-2-2-244-2-2000022-420000000000000000000000000000000000000000000000000000000
χ674444-2-2-2444-4-4-2-2-2-2-2-244-2-2-24-40000-2-2-2-2-2-244222222-4-40000222-40000000000000000000000000000000000000000000000000000000
χ684444-2-2-24-4-444-2-2-2-2-2-244-2-2-24-40000222222-4-4-2-2-2-2-2-2440000222-40000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.