Finite Group Databasebeta

← Group #14514129

Character table — Group #14514129

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size134441212121216161616161616162688824242424323232323232323226888242424243232323232323232515202020606060608080808080808080
order1222224443366666651010101010202020151530303030303051010101010202020151530303030303022222244466666666
χ111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ3111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ4111-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-1
χ5111-1-111-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111-1-111-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111-1-111-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111-1-111-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32
χ6111-1-111-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111-1-111-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111-1-111-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111-1-111-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32
χ711-11-11-11-111-11-1-11-111-11-11-11-111-11-1-11-111-11-11-11-111-11-1-11-111-11-11-11-111-11-1-11-1
χ811-11-11-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-11-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-11-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-11-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32
χ911-11-11-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-11-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-11-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-11-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32
χ1011-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-11
χ1111-1-111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32
χ1211-1-111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32
χ1333333-1-1-1-10000000033333-1-1-1-10000000033333-1-1-1-10000000033333-1-1-1-100000000
χ14333-3-3-1-11100000000333-3-3-1-11100000000333-3-3-1-11100000000333-3-3-1-11100000000
χ1533-33-3-11-110000000033-33-3-11-110000000033-33-3-11-110000000033-33-3-11-1100000000
χ1633-3-33-111-10000000033-3-33-111-10000000033-3-33-111-10000000033-3-33-111-100000000
χ1712-400000000000000012-400000000000000012-400000000000000012-4000000000000000
χ18111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ19111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-11−i321+i321−i321−i321−i321+i321+i321+i32
χ20111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-11+i321−i321+i321+i321+i321−i321−i321−i32
χ21111-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-1-1-1-111-1-111-1-1-111-111
χ22111-1-111-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111-1-111-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32111-1-111-1-1−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32-1-1-111-1-1111−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32
χ23111-1-111-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111-1-111-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32111-1-111-1-1−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32-1-1-111-1-1111+i321−i321+i32−1−i32−1−i321−i32−1+i32−1+i32
χ2411-11-11-11-111-11-1-11-111-11-11-11-111-11-1-11-111-11-11-11-111-11-1-11-1-1-11-11-11-11-1-11-111-11
χ2511-11-11-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-11-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i3211-11-11-11-1−1+i32−1−i321−i32−1+i321−i321+i32−1−i321+i32-1-11-11-11-111−i321+i32−1+i321−i32−1+i32−1−i321+i32−1−i32
χ2611-11-11-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-11-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i3211-11-11-11-1−1−i32−1+i321+i32−1−i321+i321−i32−1+i321−i32-1-11-11-11-111+i321−i32−1−i321+i32−1−i32−1+i321−i32−1+i32
χ2711-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-1111-1-111-1-1111-1-11-1-11-1-111-1-111-1-1-111-111-1
χ2811-1-111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i3211-1-111-1-11−1+i32−1−i321−i321−i32−1+i321+i321+i32−1−i32-1-111-1-111-11−i321+i32−1+i32−1+i321−i32−1−i32−1−i321+i32
χ2911-1-111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i3211-1-111-1-11−1−i32−1+i321+i321+i32−1−i321−i321−i32−1+i32-1-111-1-111-11+i321−i32−1−i32−1−i321+i32−1+i32−1+i321−i32
χ3033333-1-1-1-10000000033333-1-1-1-10000000033333-1-1-1-100000000-3-3-3-3-3111100000000
χ31333-3-3-1-11100000000333-3-3-1-11100000000333-3-3-1-11100000000-3-3-33311-1-100000000
χ3233-33-3-11-110000000033-33-3-11-110000000033-33-3-11-1100000000-3-33-331-11-100000000
χ3333-3-33-111-10000000033-3-33-111-10000000033-3-33-111-100000000-3-333-31-1-1100000000
χ3412-400000000000000012-400000000000000012-4000000000000000-124000000000000000
χ3522222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000
χ36222222222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52ζ2+ζ8ζ7+ζ13ζ2+ζ8ζ2+ζ8ζ2+ζ8ζ7+ζ13ζ7+ζ13ζ7+ζ13−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52ζ11+ζ14ζ+ζ4ζ11+ζ14ζ11+ζ14ζ11+ζ14ζ+ζ4ζ+ζ4ζ+ζ400000000000000000
χ37222222222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52ζ7+ζ13ζ2+ζ8ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ2+ζ8ζ2+ζ8ζ2+ζ8−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52ζ+ζ4ζ11+ζ14ζ+ζ4ζ+ζ4ζ+ζ4ζ11+ζ14ζ11+ζ14ζ11+ζ1400000000000000000
χ38222-2-222-2-2222-2-22-2-2−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−521−52−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+521+5200000000000000000
χ39222-2-222-2-2−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3−1+52−1+52−1+521−521−52−1+52−1+521−521−52ζ2+ζ8ζ7+ζ13ζ2+ζ8−ζ2−ζ8−ζ2−ζ8ζ7+ζ13−ζ7−ζ13−ζ7−ζ13−1−52−1−52−1−521+521+52−1−52−1−521+521+52ζ11+ζ14ζ+ζ4ζ11+ζ14−ζ11−ζ14−ζ11−ζ14ζ+ζ4−ζ−ζ4−ζ−ζ400000000000000000
χ40222-2-222-2-2−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3−1+52−1+52−1+521−521−52−1+52−1+521−521−52ζ7+ζ13ζ2+ζ8ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ2+ζ8−ζ2−ζ8−ζ2−ζ8−1−52−1−52−1−521+521+52−1−52−1−521+521+52ζ+ζ4ζ11+ζ14ζ+ζ4−ζ−ζ4−ζ−ζ4ζ11+ζ14−ζ11−ζ14−ζ11−ζ1400000000000000000
χ4122-22-22-22-222-22-2-22-2−1+52−1+521−52−1+521−52−1+521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+521−52−1−52−1−521+52−1−521+52−1−521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−521+5200000000000000000
χ4222-22-22-22-2−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i3−1+52−1+521−52−1+521−52−1+521−52−1+521−52ζ2+ζ8ζ7+ζ13−ζ2−ζ8ζ2+ζ8−ζ2−ζ8−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1−52−1−521+52−1−521+52−1−521+52−1−521+52ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ11+ζ14−ζ11−ζ14−ζ−ζ4ζ+ζ4−ζ−ζ400000000000000000
χ4322-22-22-22-2−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i3−1+52−1+521−52−1+521−52−1+521−52−1+521−52ζ7+ζ13ζ2+ζ8−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ2−ζ8ζ2+ζ8−ζ2−ζ8−1−52−1−521+52−1−521+52−1−521+52−1−521+52ζ+ζ4ζ11+ζ14−ζ−ζ4ζ+ζ4−ζ−ζ4−ζ11−ζ14ζ11+ζ14−ζ11−ζ1400000000000000000
χ4422-2-222-2-2222-2-22-2-22−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−521−52−1+52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+521+52−1−5200000000000000000
χ4522-2-222-2-22−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3−1+52−1+521−521−52−1+52−1+521−521−52−1+52ζ2+ζ8ζ7+ζ13−ζ2−ζ8−ζ2−ζ8ζ2+ζ8−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−1−52−1−521+521+52−1−52−1−521+521+52−1−52ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ11−ζ14ζ11+ζ14−ζ−ζ4−ζ−ζ4ζ+ζ400000000000000000
χ4622-2-222-2-22−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3−1+52−1+521−521−52−1+52−1+521−521−52−1+52ζ7+ζ13ζ2+ζ8−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ2−ζ8−ζ2−ζ8ζ2+ζ8−1−52−1−521+521+52−1−52−1−521+521+52−1−52ζ+ζ4ζ11+ζ14−ζ−ζ4−ζ−ζ4ζ+ζ4−ζ11−ζ14−ζ11−ζ14ζ11+ζ1400000000000000000
χ4766666-2-2-2-200000000−3+352−3+352−3+352−3+352−3+3521−521−521−521−5200000000−3−352−3−352−3−352−3−352−3−3521+521+521+521+520000000000000000000000000
χ48666-6-6-2-22200000000−3+352−3+352−3+3523−3523−3521−521−52−1+52−1+5200000000−3−352−3−352−3−3523+3523+3521+521+52−1−52−1−520000000000000000000000000
χ4966-66-6-22-2200000000−3+352−3+3523−352−3+3523−3521−52−1+521−52−1+5200000000−3−352−3−3523+352−3−3523+3521+52−1−521+52−1−520000000000000000000000000
χ5066-6-66-222-200000000−3+352−3+3523−3523−352−3+3521−52−1+52−1+521−5200000000−3−352−3−3523+3523+352−3−3521+52−1−52−1−521+520000000000000000000000000
χ5124-8000000000000000−6+652−25000000000000000−6−652+2500000000000000000000000000000000
χ5222222222222222222−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+5200000000000000000
χ53222222222−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52ζ11+ζ14ζ+ζ4ζ11+ζ14ζ11+ζ14ζ11+ζ14ζ+ζ4ζ+ζ4ζ+ζ4−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52ζ2+ζ8ζ7+ζ13ζ2+ζ8ζ2+ζ8ζ2+ζ8ζ7+ζ13ζ7+ζ13ζ7+ζ1300000000000000000
χ54222222222−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52ζ+ζ4ζ11+ζ14ζ+ζ4ζ+ζ4ζ+ζ4ζ11+ζ14ζ11+ζ14ζ11+ζ14−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52ζ7+ζ13ζ2+ζ8ζ7+ζ13ζ7+ζ13ζ7+ζ13ζ2+ζ8ζ2+ζ8ζ2+ζ800000000000000000
χ55222-2-222-2-2222-2-22-2-2−1−52−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+521+52−1+52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−521−5200000000000000000
χ56222-2-222-2-2−1+i3−1−i3−1+i31−i31−i3−1−i31+i31+i3−1−52−1−52−1−521+521+52−1−52−1−521+521+52ζ11+ζ14ζ+ζ4ζ11+ζ14−ζ11−ζ14−ζ11−ζ14ζ+ζ4−ζ−ζ4−ζ−ζ4−1+52−1+52−1+521−521−52−1+52−1+521−521−52ζ2+ζ8ζ7+ζ13ζ2+ζ8−ζ2−ζ8−ζ2−ζ8ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300000000000000000
χ57222-2-222-2-2−1−i3−1+i3−1−i31+i31+i3−1+i31−i31−i3−1−52−1−52−1−521+521+52−1−52−1−521+521+52ζ+ζ4ζ11+ζ14ζ+ζ4−ζ−ζ4−ζ−ζ4ζ11+ζ14−ζ11−ζ14−ζ11−ζ14−1+52−1+52−1+521−521−52−1+52−1+521−521−52ζ7+ζ13ζ2+ζ8ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ2+ζ8−ζ2−ζ8−ζ2−ζ800000000000000000
χ5822-22-22-22-222-22-2-22-2−1−52−1−521+52−1−521+52−1−521+52−1−521+52−1−52−1−521+52−1−521+521+52−1−521+52−1+52−1+521−52−1+521−52−1+521−52−1+521−52−1+52−1+521−52−1+521−521−52−1+521−5200000000000000000
χ5922-22-22-22-2−1+i3−1−i31−i3−1+i31−i31+i3−1−i31+i3−1−52−1−521+52−1−521+52−1−521+52−1−521+52ζ11+ζ14ζ+ζ4−ζ11−ζ14ζ11+ζ14−ζ11−ζ14−ζ−ζ4ζ+ζ4−ζ−ζ4−1+52−1+521−52−1+521−52−1+521−52−1+521−52ζ2+ζ8ζ7+ζ13−ζ2−ζ8ζ2+ζ8−ζ2−ζ8−ζ7−ζ13ζ7+ζ13−ζ7−ζ1300000000000000000
χ6022-22-22-22-2−1−i3−1+i31+i3−1−i31+i31−i3−1+i31−i3−1−52−1−521+52−1−521+52−1−521+52−1−521+52ζ+ζ4ζ11+ζ14−ζ−ζ4ζ+ζ4−ζ−ζ4−ζ11−ζ14ζ11+ζ14−ζ11−ζ14−1+52−1+521−52−1+521−52−1+521−52−1+521−52ζ7+ζ13ζ2+ζ8−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ2−ζ8ζ2+ζ8−ζ2−ζ800000000000000000
χ6122-2-222-2-2222-2-22-2-22−1−52−1−521+521+52−1−52−1−521+521+52−1−52−1−52−1−521+521+52−1−521+521+52−1−52−1+52−1+521−521−52−1+52−1+521−521−52−1+52−1+52−1+521−521−52−1+521−521−52−1+5200000000000000000
χ6222-2-222-2-22−1+i3−1−i31−i31−i3−1+i31+i31+i3−1−i3−1−52−1−521+521+52−1−52−1−521+521+52−1−52ζ11+ζ14ζ+ζ4−ζ11−ζ14−ζ11−ζ14ζ11+ζ14−ζ−ζ4−ζ−ζ4ζ+ζ4−1+52−1+521−521−52−1+52−1+521−521−52−1+52ζ2+ζ8ζ7+ζ13−ζ2−ζ8−ζ2−ζ8ζ2+ζ8−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300000000000000000
χ6322-2-222-2-22−1−i3−1+i31+i31+i3−1−i31−i31−i3−1+i3−1−52−1−521+521+52−1−52−1−521+521+52−1−52ζ+ζ4ζ11+ζ14−ζ−ζ4−ζ−ζ4ζ+ζ4−ζ11−ζ14−ζ11−ζ14ζ11+ζ14−1+52−1+521−521−52−1+52−1+521−521−52−1+52ζ7+ζ13ζ2+ζ8−ζ7−ζ13−ζ7−ζ13ζ7+ζ13−ζ2−ζ8−ζ2−ζ8ζ2+ζ800000000000000000
χ6466666-2-2-2-200000000−3−352−3−352−3−352−3−352−3−3521+521+521+521+5200000000−3+352−3+352−3+352−3+352−3+3521−521−521−521−520000000000000000000000000
χ65666-6-6-2-22200000000−3−352−3−352−3−3523+3523+3521+521+52−1−52−1−5200000000−3+352−3+352−3+3523−3523−3521−521−52−1+52−1+520000000000000000000000000
χ6666-66-6-22-2200000000−3−352−3−3523+352−3−3523+3521+52−1−521+52−1−5200000000−3+352−3+3523−352−3+3523−3521−52−1+521−52−1+520000000000000000000000000
χ6766-6-66-222-200000000−3−352−3−3523+3523+352−3−3521+52−1−52−1−521+5200000000−3+352−3+3523−3523−352−3+3521−52−1+52−1+521−520000000000000000000000000
χ6824-8000000000000000−6−652+25000000000000000−6+652−2500000000000000000000000000000000

Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.