Finite Group Databasebeta

← Group #72260408

Character table — Group #72260408

Order 7200.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size123444444688888881212121212121618182424242424242532323232323232323232323232323232323250727272727272727272727272757575150150150150150200225225300300300300400450450600600
order132555555631515151515151010101010103243030303030302151515151515151515151515151515151515610101010101020202020202024444446644121212126241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111-1-1
χ311111111111111111111111111111111-1111111111111111111-1111111111111-1i−ii−ii−i-1-1i−ii−ii−i-1-1-1i−i
χ411111111111111111111111111111111-1111111111111111111-1111111111111-1−ii−ii−ii-1-1−ii−ii−ii-1-1-1−ii
χ5111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-11-1-111
χ6111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111111-1-1-1-1
χ7111111111111111111111111-1-1111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii−ii-1-1i−i−ii−ii-111i−i
χ8111111111111111111111111-1-1111111-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−iii−ii−i-1-1−iii−ii−i-111−ii
χ92222222222-1222222222222-1002222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1200000000000022200002-1220000-100-1-1
χ102222222222-1222222222222-1002222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-120000000000002-2-200002-1-2-20000-10011
χ112222222222-1222222222222-100222222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2000000000000-22i−2i0000-212i−2i0000100−ii
χ122222222222-1222222222222-100222222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2000000000000-2−2i2i0000-21−2i2i0000100i−i
χ132-12222222-12-1-1-1-1-1-1222222-100-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000002002222-1200-1-1-1-1-10000
χ142-12222222-12-1-1-1-1-1-1222222-100-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000200-2-2-2-2-12001111-10000
χ152-12222222-12-1-1-1-1-1-1222222-100-1-1-1-1-1-1-2222222-1-1-1-1-1-1-1-1-1-1-1-11000000000000-2002i−2i2i−2i1-200−ii−ii10000
χ162-12222222-12-1-1-1-1-1-1222222-100-1-1-1-1-1-1-2222222-1-1-1-1-1-1-1-1-1-1-1-11000000000000-200−2i2i−2i2i1-200i−ii−i10000
χ1733-1333333-10333333-1-1-1-1-1-101-1-1-1-1-1-1-130000000000000000003111111-1-1-1-1-1-1-13311-1-1-10-1-111-1-101-100
χ1833-1333333-10333333-1-1-1-1-1-101-1-1-1-1-1-1-130000000000000000003111111-1-1-1-1-1-1-1-3-3-1-111-1011-1-11101-100
χ1933-1333333-10333333-1-1-1-1-1-101-1-1-1-1-1-1-1-3000000000000000000-3111111-1-1-1-1-1-113i−3ii−i−ii10−iii−i−ii0-1100
χ2033-1333333-10333333-1-1-1-1-1-101-1-1-1-1-1-1-1-3000000000000000000-3111111-1-1-1-1-1-11−3i3i−iii−i10i−i−iii−i0-1100
χ2133-1333333-10333333-1-1-1-1-1-10-11-1-1-1-1-1-130000000000000000003-1-1-1-1-1-1111111-133-1-111-10-1-1-1-1110-1100
χ2233-1333333-10333333-1-1-1-1-1-10-11-1-1-1-1-1-130000000000000000003-1-1-1-1-1-1111111-1-3-311-1-1-101111-1-10-1100
χ2333-1333333-10333333-1-1-1-1-1-10-11-1-1-1-1-1-1-3000000000000000000-3-1-1-1-1-1-111111113i−3i−iii−i10−ii−iii−i01-100
χ2433-1333333-10333333-1-1-1-1-1-10-11-1-1-1-1-1-1-3000000000000000000-3-1-1-1-1-1-11111111−3i3ii−i−ii10i−ii−i−ii01-100
χ254444-1-1-1-1-1444-1-1-1-1-14-1-1-1-1-14444-1-1-1-1-104-1-1-1-1-144-1-1-1-1-1-1-1-1-1-104-1-1-1-1-14-1-1-1-1-100000000000000000000
χ264444-1-1-1-1-1444-1-1-1-1-14-1-1-1-1-14-4-44-1-1-1-1-104-1-1-1-1-144-1-1-1-1-1-1-1-1-1-10-411111-41111100000000000000000000
χ27444-14-1-1-1-144-14-1-1-1-1-14-1-1-1-1444-14-1-1-1-10-14-1-1-1-1-1-144-1-1-1-1-1-1-1-10-14-1-1-1-1-14-1-1-1-100000000000000000000
χ28444-14-1-1-1-144-14-1-1-1-1-14-1-1-1-14-4-4-14-1-1-1-10-14-1-1-1-1-1-144-1-1-1-1-1-1-1-101-411111-4111100000000000000000000
χ29444-1-1−1+53−523+52−1−544-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−5444-1-1−1+53−523+52−1−50-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−50-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−500000000000000000000
χ30444-1-1−1+53−523+52−1−544-1-1−1+53−523+52−1−5-1-1−1+53−523+52−1−54-4-4-1-1−1+53−523+52−1−50-1-1−1+53−523+52−1−5-1-1-1-1−1+5−1+53−523−523+523+52−1−5−1−50111−5−3+52−3−521+5111−5−3+52−3−521+500000000000000000000
χ31444-1-13−52−1−5−1+53+5244-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+52444-1-13−52−1−5−1+53+520-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+520-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+5200000000000000000000
χ32444-1-13−52−1−5−1+53+5244-1-13−52−1−5−1+53+52-1-13−52−1−5−1+53+524-4-4-1-13−52−1−5−1+53+520-1-13−52−1−5−1+53+52-1-1-1-13−523−52−1−5−1−5−1+5−1+53+523+52011−3+521+51−5−3−5211−3+521+51−5−3−5200000000000000000000
χ33444-1-13+52−1+5−1−53−5244-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−52444-1-13+52−1+5−1−53−520-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−520-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−5200000000000000000000
χ34444-1-13+52−1+5−1−53−5244-1-13+52−1+5−1−53−52-1-13+52−1+5−1−53−524-4-4-1-13+52−1+5−1−53−520-1-13+52−1+5−1−53−52-1-1-1-13+523+52−1+5−1+5−1−5−1−53−523−52011−3−521−51+5−3+5211−3−521−51+5−3+5200000000000000000000
χ35444-1-1−1−53+523−52−1+544-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+5444-1-1−1−53+523−52−1+50-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+50-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+500000000000000000000
χ36444-1-1−1−53+523−52−1+544-1-1−1−53+523−52−1+5-1-1−1−53+523−52−1+54-4-4-1-1−1−53+523−52−1+50-1-1−1−53+523−52−1+5-1-1-1-1−1−5−1−53+523+523−523−52−1+5−1+50111+5−3−52−3+521−5111+5−3−52−3+521−500000000000000000000
χ374-24444444-2-2-2-2-2-2-2-2444444100-2-2-2-2-2-24-2-2-2-2-2-2111111111111-20000000000004000000-2-200000010000
χ384-24444444-2-2-2-2-2-2-2-2444444100-2-2-2-2-2-2-4-2-2-2-2-2-21111111111112000000000000-400000022000000-10000
χ396-3-266666610-3-3-3-3-3-3-2-2-2-2-2-20001111116000000000000000000-3000000000000-20022-2-21000-1-11100000
χ406-3-266666610-3-3-3-3-3-3-2-2-2-2-2-20001111116000000000000000000-3000000000000-200-2-222100011-1-100000
χ416-3-266666610-3-3-3-3-3-3-2-2-2-2-2-2000111111-600000000000000000030000000000002002i−2i−2i2i-1000−iii−i00000
χ426-3-266666610-3-3-3-3-3-3-2-2-2-2-2-2000111111-60000000000000000003000000000000200−2i2i2i−2i-1000i−i−ii00000
χ438888-2-2-2-2-28-48-2-2-2-2-28-2-2-2-2-2-4008-2-2-2-2-20-411111-4-41111111111000000000000000000000000000000000
χ44888-28-2-2-2-28-4-28-2-2-2-2-28-2-2-2-2-400-28-2-2-2-201-4111111-4-411111111000000000000000000000000000000000
χ45888-2-2−2+253−53+5−2−258-4-2-2−2+253−53+5−2−25-2-2−2+253−53+5−2−25-400-2-2−2+253−53+5−2−250111−5−3+52−3−521+511111−51−5−3+52−3+52−3−52−3−521+51+5000000000000000000000000000000000
χ46888-2-23−5−2−25−2+253+58-4-2-23−5−2−25−2+253+5-2-23−5−2−25−2+253+5-400-2-23−5−2−25−2+253+5011−3+521+51−5−3−521111−3+52−3+521+51+51−51−5−3−52−3−52000000000000000000000000000000000
χ47888-2-23+5−2+25−2−253−58-4-2-23+5−2+25−2−253−5-2-23+5−2+25−2−253−5-400-2-23+5−2+25−2−253−5011−3−521−51+5−3+521111−3−52−3−521−51−51+51+5−3+52−3+52000000000000000000000000000000000
χ48888-2-2−2−253+53−5−2+258-4-2-2−2−253+53−5−2+25-2-2−2−253+53−5−2+25-400-2-2−2−253+53−5−2+250111+5−3−52−3+521−511111+51+5−3−52−3−52−3+52−3+521−51−5000000000000000000000000000000000
χ498-488-2-2-2-2-2-48-4111118-2-2-2-2-2-400-41111108-2-2-2-2-2-4-41111111111000000000000000000000000000000000
χ508-488-2-2-2-2-2-4-4-4111118-2-2-2-2-2200-4111110-41111122−1+352−1−352−1+352−1−352−1+352−1−352−1+352−1−352−1+352−1−352000000000000000000000000000000000
χ518-488-2-2-2-2-2-4-4-4111118-2-2-2-2-2200-4111110-41111122−1−352−1+352−1−352−1+352−1−352−1+352−1−352−1+352−1−352−1+352000000000000000000000000000000000
χ528-48-28-2-2-2-2-481-41111-28-2-2-2-2-4001-411110-28-2-2-2-211-4-411111111000000000000000000000000000000000
χ538-48-28-2-2-2-2-4-41-41111-28-2-2-2-22001-4111101-41111−1+352−1−35222−1+352−1−352−1−352−1+352−1−352−1+352−1+352−1−352000000000000000000000000000000000
χ548-48-28-2-2-2-2-4-41-41111-28-2-2-2-22001-4111101-41111−1−352−1+35222−1−352−1+352−1+352−1−352−1+352−1−352−1−352−1+352000000000000000000000000000000000
χ558-48-2-2−2+253−53+5−2−25-48111−5−3+52−3−521+5-2-2−2+253−53+5−2−25-400111−5−3+52−3−521+50-2-2−2+253−53+5−2−2511111−51−5−3+52−3+52−3−52−3−521+51+5000000000000000000000000000000000
χ568-48-2-2−2+253−53+5−2−25-4-4111−5−3+52−3−521+5-2-2−2+253−53+5−2−25200111−5−3+52−3−521+50111−5−3+52−3−521+5−1+352−1−352−1−352−1+352−1+52−1+529+52−3−5−3+59−52−1−52−1−52000000000000000000000000000000000
χ578-48-2-2−2+253−53+5−2−25-4-4111−5−3+52−3−521+5-2-2−2+253−53+5−2−25200111−5−3+52−3−521+50111−5−3+52−3−521+5−1−352−1+352−1+352−1−352−1+52−1+52−3−59+529−52−3+5−1−52−1−52000000000000000000000000000000000
χ588-48-2-23−5−2−25−2+253+5-4811−3+521+51−5−3−52-2-23−5−2−25−2+253+5-40011−3+521+51−5−3−520-2-23−5−2−25−2+253+51111−3+52−3+521+51+51−51−5−3−52−3−52000000000000000000000000000000000
χ598-48-2-23−5−2−25−2+253+5-4-411−3+521+51−5−3−52-2-23−5−2−25−2+253+520011−3+521+51−5−3−52011−3+521+51−5−3−52−1+352−1−352−1+352−1−352−3−59+52−1−52−1−52−1+52−1+529−52−3+5000000000000000000000000000000000
χ608-48-2-23−5−2−25−2+253+5-4-411−3+521+51−5−3−52-2-23−5−2−25−2+253+520011−3+521+51−5−3−52011−3+521+51−5−3−52−1−352−1+352−1−352−1+3529+52−3−5−1−52−1−52−1+52−1+52−3+59−52000000000000000000000000000000000
χ618-48-2-23+5−2+25−2−253−5-4811−3−521−51+5−3+52-2-23+5−2+25−2−253−5-40011−3−521−51+5−3+520-2-23+5−2+25−2−253−51111−3−52−3−521−51−51+51+5−3+52−3+52000000000000000000000000000000000
χ628-48-2-23+5−2+25−2−253−5-4-411−3−521−51+5−3+52-2-23+5−2+25−2−253−520011−3−521−51+5−3+52011−3−521−51+5−3+52−1+352−1−352−1+352−1−3529−52−3+5−1+52−1+52−1−52−1−52−3−59+52000000000000000000000000000000000
χ638-48-2-23+5−2+25−2−253−5-4-411−3−521−51+5−3+52-2-23+5−2+25−2−253−520011−3−521−51+5−3+52011−3−521−51+5−3+52−1−352−1+352−1−352−1+352−3+59−52−1+52−1+52−1−52−1−529+52−3−5000000000000000000000000000000000
χ648-48-2-2−2−253+53−5−2+25-48111+5−3−52−3+521−5-2-2−2−253+53−5−2+25-400111+5−3−52−3+521−50-2-2−2−253+53−5−2+2511111+51+5−3−52−3−52−3+52−3+521−51−5000000000000000000000000000000000
χ658-48-2-2−2−253+53−5−2+25-4-4111+5−3−52−3+521−5-2-2−2−253+53−5−2+25200111+5−3−52−3+521−50111+5−3−52−3+521−5−1+352−1−352−1−352−1+352−1−52−1−52−3+59−529+52−3−5−1+52−1+52000000000000000000000000000000000
χ668-48-2-2−2−253+53−5−2+25-4-4111+5−3−52−3+521−5-2-2−2−253+53−5−2+25200111+5−3−52−3+521−50111+5−3−52−3+521−5−1−352−1+352−1+352−1−352−1−52−1−529−52−3+5−3−59+52−1+52−1+52000000000000000000000000000000000
χ671212-412-3-3-3-3-3-4012-3-3-3-3-3-41111104-4-411111000000000000000000004-1-1-1-1-1-41111100000000000000000000
χ681212-412-3-3-3-3-3-4012-3-3-3-3-3-4111110-44-41111100000000000000000000-4111114-1-1-1-1-100000000000000000000
χ691212-4-312-3-3-3-3-40-312-3-3-3-31-4111104-41-4111100000000000000000000-14-1-1-1-11-4111100000000000000000000
χ701212-4-312-3-3-3-3-40-312-3-3-3-31-411110-441-41111000000000000000000001-41111-14-1-1-1-100000000000000000000
χ711212-4-3-3−3+359−3529+352−3−35-40-3-3−3+359−3529+352−3−35111−5−3+52−3−521+504-4111−5−3+52−3−521+500000000000000000000-1-1−1+53−523+52−1−5111−5−3+52−3−521+500000000000000000000
χ721212-4-3-3−3+359−3529+352−3−35-40-3-3−3+359−3529+352−3−35111−5−3+52−3−521+50-44111−5−3+52−3−521+500000000000000000000111−5−3+52−3−521+5-1-1−1+53−523+52−1−500000000000000000000
χ731212-4-3-39−352−3−35−3+359+352-40-3-39−352−3−35−3+359+35211−3+521+51−5−3−5204-411−3+521+51−5−3−5200000000000000000000-1-13−52−1−5−1+53+5211−3+521+51−5−3−5200000000000000000000
χ741212-4-3-39−352−3−35−3+359+352-40-3-39−352−3−35−3+359+35211−3+521+51−5−3−520-4411−3+521+51−5−3−520000000000000000000011−3+521+51−5−3−52-1-13−52−1−5−1+53+5200000000000000000000
χ751212-4-3-39+352−3+35−3−359−352-40-3-39+352−3+35−3−359−35211−3−521−51+5−3+5204-411−3−521−51+5−3+5200000000000000000000-1-13+52−1+5−1−53−5211−3−521−51+5−3+5200000000000000000000
χ761212-4-3-39+352−3+35−3−359−352-40-3-39+352−3+35−3−359−35211−3−521−51+5−3+520-4411−3−521−51+5−3+520000000000000000000011−3−521−51+5−3+52-1-13+52−1+5−1−53−5200000000000000000000
χ771212-4-3-3−3−359+3529−352−3+35-40-3-3−3−359+3529−352−3+35111+5−3−52−3+521−504-4111+5−3−52−3+521−500000000000000000000-1-1−1−53+523−52−1+5111+5−3−52−3+521−500000000000000000000
χ781212-4-3-3−3−359+3529−352−3+35-40-3-3−3−359+3529−352−3+35111+5−3−52−3+521−50-44111+5−3−52−3+521−500000000000000000000111+5−3−52−3+521−5-1-1−1−53+523−52−1+500000000000000000000
χ7924-12-824-6-6-6-6-640-1233333-8222220004-1-1-1-1-10000000000000000000000000000000000000000000000000000
χ8024-12-8-624-6-6-6-6403-1233332-82222000-14-1-1-1-10000000000000000000000000000000000000000000000000000
χ8124-12-8-6-6−6+659−359+35−6−6540333−35−9+352−9−3523+35222−25−3+5−3−52+25000-1-1−1+53−523+52−1−50000000000000000000000000000000000000000000000000000
χ8224-12-8-6-69−35−6−65−6+659+354033−9+3523+353−35−9−35222−3+52+252−25−3−5000-1-13−52−1−5−1+53+520000000000000000000000000000000000000000000000000000
χ8324-12-8-6-69+35−6+65−6−659−354033−9−3523−353+35−9+35222−3−52−252+25−3+5000-1-13+52−1+5−1−53−520000000000000000000000000000000000000000000000000000
χ8424-12-8-6-6−6−659+359−35−6+6540333+35−9−352−9+3523−35222+25−3−5−3+52−25000-1-1−1−53+523−52−1+50000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).