Finite Group Databasebeta

← Group #11756902

Character table — Group #11756902

Order 960.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size122366888883030122366888883030244612121616161616606024461212161616161660602446121216161616166060
order1552101031515151524210102101063030303024420204202012606060604442020420201260606060444202042020126060606044
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-111111111111-1-111111111111-1-111111111111-1-111111111111-1-1
χ3222222-1-1-1-1-100222222-1-1-1-1-100222222-1-1-1-1-100222222-1-1-1-1-100222222-1-1-1-1-100
χ42−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−5200
χ52−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1400
χ62−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1100
χ72−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+5200
χ82−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1300
χ92−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ800
χ10333-1-1-1000001-1333-1-1-1000001-1333-1-1-1000001-1333-1-1-1000001-1333-1-1-1000001-1
χ11333-1-1-100000-11333-1-1-100000-11333-1-1-100000-11333-1-1-100000-11333-1-1-100000-11
χ126−3+352−3−352-21−521+5200000006−3+352−3−352-21−521+5200000006−3+352−3−352-21−521+5200000006−3+352−3−352-21−521+5200000006−3+352−3−352-21−521+520000000
χ136−3−352−3+352-21+521−5200000006−3−352−3+352-21+521−5200000006−3−352−3+352-21+521−5200000006−3−352−3+352-21+521−5200000006−3−352−3+352-21+521−520000000
χ14111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ1511111111111-1-111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111
χ16222222-1-1-1-1-100222222-1-1-1-1-100222222-1-1-1-1-100-2-2-2-2-2-21111100-2-2-2-2-2-21111100
χ172−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−5200-21−521+52-21−521+52-21−521−521+521+5200-21−521+52-21−521+52-21−521−521+521+5200
χ182−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1400-21−521+52-21−521+521−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1400-21−521+52-21−521+521−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1400
χ192−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1100-21−521+52-21−521+521−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1100-21−521+52-21−521+521−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1100
χ202−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+5200-21+521−52-21+521−52-21+521+521−521−5200-21+521−52-21+521−52-21+521+521−521−5200
χ212−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1300-21+521−52-21+521−521−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1300-21+521−52-21+521−521−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1300
χ222−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ800-21+521−52-21+521−521−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ800-21+521−52-21+521−521−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ800
χ23333-1-1-1000001-1333-1-1-1000001-1333-1-1-1000001-1-3-3-311100000-11-3-3-311100000-11
χ24333-1-1-100000-11333-1-1-100000-11333-1-1-100000-11-3-3-3111000001-1-3-3-3111000001-1
χ256−3+352−3−352-21−521+5200000006−3+352−3−352-21−521+5200000006−3+352−3−352-21−521+520000000-63−3523+3522−1+52−1−520000000-63−3523+3522−1+52−1−520000000
χ266−3−352−3+352-21+521−5200000006−3−352−3+352-21+521−5200000006−3−352−3+352-21+521−520000000-63+3523−3522−1−52−1+520000000-63+3523−3522−1−52−1+520000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2811111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111
χ29222222-1-1-1-1-100222222-1-1-1-1-100-2-2-2-2-2-21111100222222-1-1-1-1-100-2-2-2-2-2-21111100
χ302−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−5200-21−521+52-21−521+52-21−521−521+521+52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−5200-21−521+52-21−521+52-21−521−521+521+5200
χ312−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1400-21−521+52-21−521+521−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1400-21−521+52-21−521+521−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1400
χ322−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1100-21−521+52-21−521+521−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1100-21−521+52-21−521+521−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1100
χ332−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+5200-21+521−52-21+521−52-21+521+521−521−52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+5200-21+521−52-21+521−52-21+521+521−521−5200
χ342−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1300-21+521−52-21+521−521−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1300-21+521−52-21+521−521−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1300
χ352−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ800-21+521−52-21+521−521−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ800-21+521−52-21+521−521−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ800
χ36333-1-1-1000001-1333-1-1-1000001-1-3-3-311100000-11333-1-1-1000001-1-3-3-311100000-11
χ37333-1-1-100000-11333-1-1-100000-11-3-3-3111000001-1333-1-1-100000-11-3-3-3111000001-1
χ386−3+352−3−352-21−521+5200000006−3+352−3−352-21−521+520000000-63−3523+3522−1+52−1−5200000006−3+352−3−352-21−521+520000000-63−3523+3522−1+52−1−520000000
χ396−3−352−3+352-21+521−5200000006−3−352−3+352-21+521−520000000-63+3523−3522−1−52−1+5200000006−3−352−3+352-21+521−520000000-63+3523−3522−1−52−1+520000000
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111
χ4111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ42222222-1-1-1-1-100222222-1-1-1-1-100-2-2-2-2-2-21111100-2-2-2-2-2-21111100222222-1-1-1-1-100
χ432−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−5200-21−521+52-21−521+52-21−521−521+521+5200-21−521+52-21−521+52-21−521−521+521+52002−1+52−1−522−1+52−1−522−1+52−1+52−1−52−1−5200
χ442−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1400-21−521+52-21−521+521−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ1400-21−521+52-21−521+521−ζ2−ζ13−ζ7−ζ8−ζ4−ζ11−ζ−ζ14002−1+52−1−522−1+52−1−52-1ζ2+ζ13ζ7+ζ8ζ4+ζ11ζ+ζ1400
χ452−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1100-21−521+52-21−521+521−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ1100-21−521+52-21−521+521−ζ7−ζ8−ζ2−ζ13−ζ−ζ14−ζ4−ζ11002−1+52−1−522−1+52−1−52-1ζ7+ζ8ζ2+ζ13ζ+ζ14ζ4+ζ1100
χ462−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+5200-21+521−52-21+521−52-21+521+521−521−5200-21+521−52-21+521−52-21+521+521−521−52002−1−52−1+522−1−52−1+522−1−52−1−52−1+52−1+5200
χ472−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1300-21+521−52-21+521−521−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ1300-21+521−52-21+521−521−ζ4−ζ11−ζ−ζ14−ζ7−ζ8−ζ2−ζ13002−1−52−1+522−1−52−1+52-1ζ4+ζ11ζ+ζ14ζ7+ζ8ζ2+ζ1300
χ482−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ800-21+521−52-21+521−521−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ800-21+521−52-21+521−521−ζ−ζ14−ζ4−ζ11−ζ2−ζ13−ζ7−ζ8002−1−52−1+522−1−52−1+52-1ζ+ζ14ζ4+ζ11ζ2+ζ13ζ7+ζ800
χ49333-1-1-1000001-1333-1-1-1000001-1-3-3-311100000-11-3-3-311100000-11333-1-1-1000001-1
χ50333-1-1-100000-11333-1-1-100000-11-3-3-3111000001-1-3-3-3111000001-1333-1-1-100000-11
χ516−3+352−3−352-21−521+5200000006−3+352−3−352-21−521+520000000-63−3523+3522−1+52−1−520000000-63−3523+3522−1+52−1−5200000006−3+352−3−352-21−521+520000000
χ526−3−352−3+352-21+521−5200000006−3−352−3+352-21+521−520000000-63+3523−3522−1−52−1+520000000-63+3523−3522−1−52−1+5200000006−3−352−3+352-21+521−520000000
χ532222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000
χ5422222222222-2-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000000
χ55444444-2-2-2-2-200-4-4-4-4-4-42222200000000000000000000000000000000000000000
χ564−1+5−1−54−1+5−1−54−1+5−1+5−1−5−1−500-41−51+5-41−51+5-41−51−51+51+500000000000000000000000000000000000000000
χ574−1+5−1−54−1+5−1−5-22ζ2+2ζ132ζ7+2ζ82ζ4+2ζ112ζ+2ζ1400-41−51+5-41−51+52−2ζ2−2ζ13−2ζ7−2ζ8−2ζ4−2ζ11−2ζ−2ζ1400000000000000000000000000000000000000000
χ584−1+5−1−54−1+5−1−5-22ζ7+2ζ82ζ2+2ζ132ζ+2ζ142ζ4+2ζ1100-41−51+5-41−51+52−2ζ7−2ζ8−2ζ2−2ζ13−2ζ−2ζ14−2ζ4−2ζ1100000000000000000000000000000000000000000
χ594−1−5−1+54−1−5−1+54−1−5−1−5−1+5−1+500-41+51−5-41+51−5-41+51+51−51−500000000000000000000000000000000000000000
χ604−1−5−1+54−1−5−1+5-22ζ4+2ζ112ζ+2ζ142ζ7+2ζ82ζ2+2ζ1300-41+51−5-41+51−52−2ζ4−2ζ11−2ζ−2ζ14−2ζ7−2ζ8−2ζ2−2ζ1300000000000000000000000000000000000000000
χ614−1−5−1+54−1−5−1+5-22ζ+2ζ142ζ4+2ζ112ζ2+2ζ132ζ7+2ζ800-41+51−5-41+51−52−2ζ−2ζ14−2ζ4−2ζ11−2ζ2−2ζ13−2ζ7−2ζ800000000000000000000000000000000000000000
χ62666-2-2-2000002-2-6-6-622200000-22000000000000000000000000000000000000000
χ63666-2-2-200000-22-6-6-6222000002-2000000000000000000000000000000000000000
χ6412−3+35−3−35-41−51+50000000-123−353+354−1+5−1−50000000000000000000000000000000000000000000000
χ6512−3−35−3+35-41+51−50000000-123+353−354−1−5−1+50000000000000000000000000000000000000000000000

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