Finite Group Databasebeta

← Group #971

Character table — Group #971

Order 96.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size111111112222222222221111111122222222222211111111222222222222
order124488882224448888883612122424242466612121224242424242436121224242424666121212242424242424
χ1111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-11-1-111-1-1-1-1111111111-1-11-1-111-1-1-1-1111111111-1-11-1-111-1-1-1-1
χ311111111-11-1-11-1-1-111-1-111111111-11-1-11-1-1-111-1-111111111-11-1-11-1-1-111-1-1
χ411111111-1-11-1-11-1-1-1-11111111111-1-11-1-11-1-1-1-11111111111-1-11-1-11-1-1-1-111
χ51111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ61111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-11-1-11-1-1-1-111111111-1-1-1-11-1-11-1-1-1-11111
χ71111-1-1-1-1-11-1-11-111-1-1111111-1-1-1-1-11-1-11-111-1-1111111-1-1-1-1-11-1-11-111-1-111
χ81111-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-11-1-111111-1-11111-1-1-1-1-1-11-1-111111-1-1
χ911-1-1ii−i−i11-1-1-11i−ii−ii−i11-1-1ii−i−i11-1-1-11i−ii−ii−i11-1-1ii−i−i11-1-1-11i−ii−ii−i
χ1011-1-1ii−i−i1-11-11-1i−i−ii−ii11-1-1ii−i−i1-11-11-1i−i−ii−ii11-1-1ii−i−i1-11-11-1i−i−ii−ii
χ1111-1-1ii−i−i-1111-1-1−iii−i−ii11-1-1ii−i−i-1111-1-1−iii−i−ii11-1-1ii−i−i-1111-1-1−iii−i−ii
χ1211-1-1ii−i−i-1-1-1111−ii−iii−i11-1-1ii−i−i-1-1-1111−ii−iii−i11-1-1ii−i−i-1-1-1111−ii−iii−i
χ1311-1-1−i−iii11-1-1-11−ii−ii−ii11-1-1−i−iii11-1-1-11−ii−ii−ii11-1-1−i−iii11-1-1-11−ii−ii−ii
χ1411-1-1−i−iii1-11-11-1−iii−ii−i11-1-1−i−iii1-11-11-1−iii−ii−i11-1-1−i−iii1-11-11-1−iii−ii−i
χ1511-1-1−i−iii-1111-1-1i−i−iii−i11-1-1−i−iii-1111-1-1i−i−iii−i11-1-1−i−iii-1111-1-1i−i−iii−i
χ1611-1-1−i−iii-1-1-1111i−ii−i−ii11-1-1−i−iii-1-1-1111i−ii−i−ii11-1-1−i−iii-1-1-1111i−ii−i−ii
χ172-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000002-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000
χ182-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000002-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000
χ192-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000
χ202-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000002-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000
χ2111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ22111111111-1-11-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ2311111111-11-1-11-1-1-111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ2411111111-1-11-1-11-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ251111-1-1-1-1111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ261111-1-1-1-11-1-11-1-1-1-11111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ271111-1-1-1-1-11-1-11-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ281111-1-1-1-1-1-11-1-111111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ2911-1-1ii−i−i11-1-1-11i−ii−ii−i−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22
χ3011-1-1ii−i−i1-11-11-1i−i−ii−ii−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ22−ζ22ζ22
χ3111-1-1ii−i−i-1111-1-1−iii−i−ii−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22−ζ22ζ22
χ3211-1-1ii−i−i-1-1-1111−ii−iii−i−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22
χ3311-1-1−i−iii11-1-1-11−ii−ii−ii−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22
χ3411-1-1−i−iii1-11-11-1−iii−ii−i−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ22ζ22−ζ22
χ3511-1-1−i−iii-1111-1-1i−i−iii−i−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14ζ14−ζ14−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22ζ22−ζ22
χ3611-1-1−i−iii-1-1-1111i−ii−i−ii−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22
χ372-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−1+i31−i32ζ14−2ζ14−2ζ232ζ23−2ζ52ζ5000000000000−1−i31+i32ζ22−2ζ22−2ζ72ζ7−2ζ132ζ13000000000000
χ382-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−1+i31−i32ζ14−2ζ142ζ23−2ζ232ζ5−2ζ5000000000000−1−i31+i32ζ22−2ζ222ζ7−2ζ72ζ13−2ζ13000000000000
χ392-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−1+i31−i3−2ζ142ζ14−2ζ52ζ5−2ζ232ζ23000000000000−1−i31+i3−2ζ222ζ22−2ζ132ζ13−2ζ72ζ7000000000000
χ402-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−1+i31−i3−2ζ142ζ142ζ5−2ζ52ζ23−2ζ23000000000000−1−i31+i3−2ζ222ζ222ζ13−2ζ132ζ7−2ζ7000000000000
χ4111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ42111111111-1-11-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ4311111111-11-1-11-1-1-111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32
χ4411111111-1-11-1-11-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ451111-1-1-1-1111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ461111-1-1-1-11-1-11-1-1-1-11111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ471111-1-1-1-1-11-1-11-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ481111-1-1-1-1-1-11-1-111111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ4911-1-1ii−i−i11-1-1-11i−ii−ii−i−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i321+i32−1−i32ζ22−ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i321−i32−1+i32ζ14−ζ14ζ14−ζ14ζ14−ζ14
χ5011-1-1ii−i−i1-11-11-1i−i−ii−ii−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−1−i321+i32−1−i321+i32−1−i321+i32ζ22−ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−1+i321−i32−1+i321−i32−1+i321−i32ζ14−ζ14−ζ14ζ14−ζ14ζ14
χ5111-1-1ii−i−i-1111-1-1−iii−i−ii−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i32−1−i32−1−i32−1−i321+i321+i32−ζ22ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i32−1+i32−1+i32−1+i321−i321−i32−ζ14ζ14ζ14−ζ14−ζ14ζ14
χ5211-1-1ii−i−i-1-1-1111−ii−iii−i−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221+i321+i321+i32−1−i32−1−i32−1−i32−ζ22ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141−i321−i321−i32−1+i32−1+i32−1+i32−ζ14ζ14−ζ14ζ14ζ14−ζ14
χ5311-1-1−i−iii11-1-1-11−ii−ii−ii−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i321+i32−1−i32−ζ22ζ22−ζ22ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i321−i32−1+i32−ζ14ζ14−ζ14ζ14−ζ14ζ14
χ5411-1-1−i−iii1-11-11-1−iii−ii−i−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1−i321+i32−1−i321+i32−1−i321+i32−ζ22ζ22ζ22−ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−1+i321−i32−1+i321−i32−1+i321−i32−ζ14ζ14ζ14−ζ14ζ14−ζ14
χ5511-1-1−i−iii-1111-1-1i−i−iii−i−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i32−1−i32−1−i32−1−i321+i321+i32ζ22−ζ22−ζ22ζ22ζ22−ζ22−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i32−1+i32−1+i32−1+i321−i321−i32ζ14−ζ14−ζ14ζ14ζ14−ζ14
χ5611-1-1−i−iii-1-1-1111i−ii−i−ii−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ221+i321+i321+i32−1−i32−1−i32−1−i32ζ22−ζ22ζ22−ζ22−ζ22ζ22−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141−i321−i321−i32−1+i32−1+i32−1+i32ζ14−ζ14ζ14−ζ14−ζ14ζ14
χ572-22i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000−1−i31+i32ζ22−2ζ22−2ζ72ζ7−2ζ132ζ13000000000000−1+i31−i32ζ14−2ζ14−2ζ232ζ23−2ζ52ζ5000000000000
χ582-22i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000−1−i31+i32ζ22−2ζ222ζ7−2ζ72ζ13−2ζ13000000000000−1+i31−i32ζ14−2ζ142ζ23−2ζ232ζ5−2ζ5000000000000
χ592-2−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000−1−i31+i3−2ζ222ζ22−2ζ132ζ13−2ζ72ζ7000000000000−1+i31−i3−2ζ142ζ14−2ζ52ζ5−2ζ232ζ23000000000000
χ602-2−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000−1−i31+i3−2ζ222ζ222ζ13−2ζ132ζ7−2ζ7000000000000−1+i31−i3−2ζ142ζ142ζ5−2ζ52ζ23−2ζ23000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.