Finite Group Databasebeta

← Group #11797891

Character table — Group #11797891

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222244444444444444444444444444444444444444444444444444444444444444441818181824242424242424243636363636364848484848484848
order124423346688881212121236666612121212121216161616242424242424242424242424242424244848484848484848484848484848484848484848484848484848484848484848888822448888441616161666121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-1-1-1-1-1-11-11-1-111
χ5111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1-11111-1-1-1-11-11-1-1-111
χ6111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1111-1-111-1-1-1-1-11-1111-1-1
χ7111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111
χ911-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i11-1-1i−ii−ii−i11-1-111-1-1i−ii−i
χ1011-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i-1-111−ii−iii−i11-1-1-1-111−ii−ii
χ1111-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii1-1-11i−i−ii−ii-1-1111-1-11i−i−ii
χ1211-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111ii−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-111-1−iii−i−ii-1-111-111-1−iii−i
χ1311-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i1-1-11−iii−ii−i-1-1111-1-11−iii−i
χ1411-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i-111-1i−i−iii−i-1-111-111-1i−i−ii
χ1511-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii11-1-1−ii−ii−ii11-1-111-1-1−ii−ii
χ1611-1-1-111111-1-111-1-1-1-11-1-1-1-11-1-11111−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii-1-111i−ii−i−ii11-1-1-1-111i−ii−i
χ172222222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000222200000000-2-2000000000000
χ182222222222-2-2-2-222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-20000000022000000000000
χ19222222-122-1222222-1-1-12-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000020200220000000-10-100-1-1
χ20222222-122-1222222-1-1-12-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000-20-200-2-200000001010011
χ21222222-122-1222222-1-1-12-1-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000020200-2-20000000-10-10011
χ22222222-122-1222222-1-1-12-1-1-1-1-1-12-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000-20-20022000000010100-1-1
χ2322222-122-122222-1-122-1-12-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000020202200000000-10-10-1-100
χ2422222-122-122222-1-122-1-12-1-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-20-20-2-20000000010101100
χ2522222-122-122222-1-122-1-12-1-1-1-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111100002020-2-200000000-10-101100
χ2622222-122-122222-1-122-1-12-1-1-1-1-1-12-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000-20-2022000000001010-1-100
χ272222-222-222000022222-2-2-2-2222-2-2-2-22−22−2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−22-22-200000000002−22−200000000
χ282222-222-222000022222-2-2-2-2222-2-2-2-22−22−2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2-22-220000000000−22−2200000000
χ292222-222-222000022222-2-2-2-2222-2-2-2-2−22−220000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−222222-22-20000000000−22−2200000000
χ302222-222-222000022222-2-2-2-2222-2-2-2-2−22−220000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222-22-2200000000002−22−200000000
χ3122-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-2−i2i2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22i−2i−2i2i0000000000−222−200000000
χ3222-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-2−i2i2i2−i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i2i2i−2i00000000002−2−2200000000
χ3322-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-2i2−i2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22i−2i−2i2i00000000002−2−2200000000
χ3422-2-2222-2220000-2-2-2-2222222-2-2-2-2-2-2i2−i2−i2i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−2i2i2i−2i0000000000−222−200000000
χ3522-2-2-22222222-2-2-2-2-2-22-2-2-2-22-2-222220000-2-2-2-2-2-2-2-222222222000000000000000000000000000000002i2i−2i−2i00000000−2i2i000000000000
χ3622-2-2-22222222-2-2-2-2-2-22-2-2-2-22-2-222220000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000−2i−2i2i2i000000002i−2i000000000000
χ3722-2-2-22-122-1-2-222-2-211-1-2111-1112-1-1-12i2i−2i−2i22-1-1-1-1-1-1-2-21111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000020-2002i−2i0000000-10100−ii
χ3822-2-2-22-122-1-2-222-2-211-1-2111-1112-1-1-12i2i−2i−2i22-1-1-1-1-1-1-2-21111112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii00000-20200−2i2i000000010-100i−i
χ3922-2-2-22-122-1-2-222-2-211-1-2111-1112-1-1-1−2i−2i2i2i22-1-1-1-1-1-1-2-2111111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000020-200−2i2i0000000-10100i−i
χ4022-2-2-22-122-1-2-222-2-211-1-2111-1112-1-1-1−2i−2i2i2i22-1-1-1-1-1-1-2-2111111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i00000-202002i−2i000000010-100−ii
χ4122-2-2-2-122-12-2-22211-2-2-11-211-111-12-1-12i2i−2i−2i-1-122-1-1-1-111-2-21111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii000020-202i−2i00000000-1010−ii00
χ4222-2-2-2-122-12-2-22211-2-2-11-211-111-12-1-12i2i−2i−2i-1-122-1-1-1-111-2-21111−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii0000-2020−2i2i0000000010-10i−i00
χ4322-2-2-2-122-12-2-22211-2-2-11-211-111-12-1-1−2i−2i2i2i-1-122-1-1-1-111-2-21111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i000020-20−2i2i00000000-1010i−i00
χ4422-2-2-2-122-12-2-22211-2-2-11-211-111-12-1-1−2i−2i2i2i-1-122-1-1-1-111-2-21111iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i0000-20202i−2i0000000010-10−ii00
χ45444444-244-2-4-4-4-444-2-2-24-2-2-2-2-2-24-2-2-20000-4-4222222-4-42222220000000000000000000000000000000000000000000000000000000000
χ4644444-244-24-4-4-4-4-2-244-2-24-2-2-2-2-2-24-2-2000022-4-4222222-4-422220000000000000000000000000000000000000000000000000000000000
χ4744444-2-24-2-24444-2-2-2-21-2-211111-2-2114444-2-2-2-21111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000
χ4844444-2-24-2-24444-2-2-2-21-2-211111-2-211-4-4-4-4-2-2-2-21111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000
χ4944444-2-24-2-2-4-4-4-4-2-2-2-21-2-211111-2-21100002222-1-1-1-12222-1-1-1-1000000003i3i−3i−3i3i3i−3i−3i000000003i3i−3i−3i3i3i−3i−3i00000000000000000000000000
χ5044444-2-24-2-2-4-4-4-4-2-2-2-21-2-211111-2-21100002222-1-1-1-12222-1-1-1-100000000−3i−3i3i3i−3i−3i3i3i00000000−3i−3i3i3i−3i−3i3i3i00000000000000000000000000
χ514444-44-2-44-2000044-2-2-2-4222-2-2-2-422222−2222−2200000000000000002222−22−22−2−222−2−2−2−222222222−22−22−2−222−2−2−2−2222200000000000000000000000000
χ524444-44-2-44-2000044-2-2-2-4222-2-2-2-4222−2222−22220000000000000000−22−22222222−2−22222−2−2−2−2−22−22222222−2−22222−2−2−2−200000000000000000000000000
χ534444-4-24-4-240000-2-244-22-422-2-2-22-42222−2222−220000000000000000−2−2222222−22−22−2−2−2−22222−2−2222222−22−22−2−2−2−2222200000000000000000000000000
χ544444-4-24-4-240000-2-244-22-422-2-2-22-422−2222−2222000000000000000022−2−2−22−2222222222−2−2−2−222−2−2−22−2222222222−2−2−2−200000000000000000000000000
χ554444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-122−2222−2200003i3i−3i−3i00003i3i−3i−3i−2−222−2−222−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ46−2−222−2−222−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ4600000000000000000000000000
χ564444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-122−2222−220000−3i−3i3i3i0000−3i−3i3i3i−2−222−2−222ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−2−222−2−222ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ4600000000000000000000000000
χ574444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-1−2222−222200003i3i−3i−3i00003i3i−3i−3i22−2−222−2−22ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ4622−2−222−2−22ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ4600000000000000000000000000
χ584444-4-2-2-4-2-20000-2-2-2-2122-1-111122-1-1−2222−22220000−3i−3i3i3i0000−3i−3i3i3i22−2−222−2−2−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ4622−2−222−2−2−ζ10−2ζ14−ζ26−2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10−ζ14−2ζ26−ζ4600000000000000000000000000
χ5944-4-444-2-44-20000-4-422-24-2-2-2-222-4222−2i22i22i2−2i20000000000000000−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
χ6044-4-444-2-44-20000-4-422-24-2-2-2-222-42222i2−2i2−2i22i200000000000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−2i2−2i22i22i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i200000000000000000000000000
χ6144-4-44-24-4-24000022-4-4-2-24-2-2-2222-422−2i22i22i2−2i20000000000000000i2i2−i2−i2−2i2−2i22i22i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i22i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i200000000000000000000000000
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χ1074-4−4i4i0-2-20222i2−2i222−222i−2i2i−2i100-33-1−ii003i−3i0000−22−22−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46−i2i2−i2i2−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ43−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47−ζ11+ζ43ζ11−ζ43−ζ25+ζ41ζ25−ζ41−ζ31+ζ47ζ31−ζ47−ζ13+ζ29ζ13−ζ29ζ13−ζ29+ζ31−ζ47−ζ13+ζ29−ζ31+ζ47ζ11+ζ25−ζ41−ζ43−ζ11−ζ25+ζ41+ζ43−ζ13+ζ29+ζ31−ζ47ζ13−ζ29−ζ31+ζ47ζ11−ζ25+ζ41−ζ43−ζ11+ζ25−ζ41+ζ43−ζ31+ζ47ζ31−ζ47ζ13−ζ29−ζ13+ζ29−ζ11+ζ43ζ11−ζ43ζ25−ζ41−ζ25+ζ4100000000000000000000000000
χ1084-4−4i4i0-2-20222i2−2i222−222i−2i2i−2i100-33-1−ii003i−3i0000−22−22−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46−i2i2−i2i2−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ43ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47ζ11−ζ43−ζ11+ζ43ζ25−ζ41−ζ25+ζ41ζ31−ζ47−ζ31+ζ47ζ13−ζ29−ζ13+ζ29−ζ13+ζ29−ζ31+ζ47ζ13−ζ29+ζ31−ζ47−ζ11−ζ25+ζ41+ζ43ζ11+ζ25−ζ41−ζ43ζ13−ζ29−ζ31+ζ47−ζ13+ζ29+ζ31−ζ47−ζ11+ζ25−ζ41+ζ43ζ11−ζ25+ζ41−ζ43ζ31−ζ47−ζ31+ζ47−ζ13+ζ29ζ13−ζ29ζ11−ζ43−ζ11+ζ43−ζ25+ζ41ζ25−ζ4100000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.