Finite Group Databasebeta

← Group #72220772

Character table — Group #72220772

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11444444448888888812121212121212121216161616181824242424242424242436363636363672108108108108108108108162216324324
order123333666633336666412121212121212123366221212121212121212126666666244121212122644
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1
χ311111111111111111111111111111111-11111111111111-1-1-1-1i−iii−i−i-1-1i−i
χ411111111111111111111111111111111-11111111111111-1-1-1-1−ii−i−iii-1-1−ii
χ5111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111111-11111111-1-1-1
χ6111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11-111
χ7111111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-11i−iii−i−i-11−ii
χ8111111111111111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-11−ii−i−iii-11i−i
χ92222222222222222220000000002222-22000000000-2-2-2-22220000000-2000
χ102222222222222222220000000002222-2-2000000000-2-2-2-2-2-2-200000002000
χ1144144-21-244-2-2-2-2-2-2-2-2000000000111104000000000000011-2022-1-1-1-10000
χ1244144-21-244-2-2-2-2-2-2-2-2000000000111104000000000000011-20-2-211110000
χ1344144-21-244-2-2-2-2-2-2-2-200000000011110-40000000000000-1-1202i−2i−i−iii0000
χ1444144-21-244-2-2-2-2-2-2-2-200000000011110-40000000000000-1-120−2i2iii−i−i0000
χ154441-24441-211-2-211-2-20000033-3-31-21-2-400000033-3-322-1-100000000000000
χ164441-24441-211-2-211-2-200000-3-3331-21-2-4000000-3-33322-1-100000000000000
χ174441-24441-211-2-211-2-24-2-2-2-211111-21-2404-2-2-2-21111-2-21100000000000000
χ184441-24441-211-2-211-2-2-42222-1-1-1-11-21-240-42222-1-1-1-1-2-21100000000000000
χ19444-21444-21-2-211-2-211033-3-30000-21-21-40033-3-30000-1-12200000000000000
χ20444-21444-21-2-211-2-2110-3-3330000-21-21-400-3-3330000-1-12200000000000000
χ21444-21444-21-2-211-2-21141111-2-2-2-2-21-214041111-2-2-2-211-2-200000000000000
χ22444-21444-21-2-211-2-211-4-1-1-1-12222-21-2140-4-1-1-1-1222211-2-200000000000000
χ2344-2441-214411111111222222222-2-2-2-204-1-1-1-1-1-1-1-1-10000-2-2120000000-100
χ2444-2441-214411111111222222222-2-2-2-20-4-1-1-1-1-1-1-1-1-1000022-1-20000000100
χ2544-2441-214411111111-2-2-2-2-2-2-2-2-2-2-2-2-2041111111110000-2-21-20000000100
χ2644-2441-214411111111-2-2-2-2-2-2-2-2-2-2-2-2-20-4111111111000022-120000000-100
χ274-4144-2-12-4-4-2-2-2-2222200000000011-1-10000000000000003-30000−i3i3−i3i30000
χ284-4144-2-12-4-4-2-2-2-2222200000000011-1-10000000000000003-30000i3−i3i3−i30000
χ294-4144-2-12-4-4-2-2-2-2222200000000011-1-1000000000000000-3300003−3−330000
χ304-4144-2-12-4-4-2-2-2-2222200000000011-1-1000000000000000-330000−333−30000
χ314-441-24-4-4-1211-2-2-1-12200023−233−33−31-2-120000023−233−33−3003-300000000000000
χ324-441-24-4-4-1211-2-2-1-122000−2323−33−331-2-1200000−2323−33−33003-300000000000000
χ334-441-24-4-4-1211-2-2-1-122023−23003−3−331-2-1200023−23003−3−3300-3300000000000000
χ344-441-24-4-4-1211-2-2-1-1220−232300−333−31-2-12000−232300−333−300-3300000000000000
χ354-44444-4-4-4-44444-4-4-4-400000000044-4-400000000000000000000000000000
χ364-44-214-4-42-1-2-21122-1-103−33−3−232300-212-10003−33−3−2323003-30000000000000000
χ374-44-214-4-42-1-2-21122-1-103−3−330023−23-212-10003−3−330023−23-330000000000000000
χ384-44-214-4-42-1-2-21122-1-10−333−300−2323-212-1000−333−300−2323-330000000000000000
χ394-44-214-4-42-1-2-21122-1-10−33−3323−2300-212-1000−33−3323−23003-30000000000000000
χ4088-42-42-422-45-4-1-15-4-1-14-2-2-2-244-2-2-12-1200-21111-2-211000000000000000000
χ4188-42-42-422-45-4-1-15-4-1-1-42222-4-422-12-12002-1-1-1-122-1-1000000000000000000
χ4288-42-42-422-4-45-1-1-45-1-14-2-2-2-2-2-244-12-1200-2111111-2-2000000000000000000
χ4388-42-42-422-4-45-1-1-45-1-1-4222222-4-4-12-12002-1-1-1-1-1-122000000000000000000
χ4488-4-422-42-42-1-15-4-1-15-4444-2-2-2-2-2-22-12-100-2-2-2111111000000000000000000
χ4588-4-422-42-42-1-15-4-1-15-4-4-4-42222222-12-100222-1-1-1-1-1-1000000000000000000
χ4688-4-422-42-42-1-1-45-1-1-454-2-244-2-2-2-22-12-100-211-2-21111000000000000000000
χ4788-4-422-42-42-1-1-45-1-1-45-422-4-422222-12-1002-1-122-1-1-1-1000000000000000000
χ488-8-42-424-2-245-4-1-1-5411023−23−232300−2323-121-2000−333−3003−3000000000000000000
χ498-8-42-424-2-245-4-1-1-54110−232323−230023−23-121-20003−3−3300−33000000000000000000
χ508-8-42-424-2-24-45-1-14-511023−2323−2323−2300-121-2000−33−33−3300000000000000000000
χ518-8-42-424-2-24-45-1-14-5110−2323−2323−232300-121-20003−33−33−300000000000000000000
χ528-8-48824-2-8-82222-2-2-2-2000000000-4-44400000000000000000000000000000
χ538-8-4-4224-24-2-1-15-411-5400023−23−2323−23232-1-2100000−333−33−3000000000000000000
χ548-8-4-4224-24-2-1-15-411-54000−232323−2323−232-1-21000003−3−33−33000000000000000000
χ558-8-4-4224-24-2-1-1-45114-5023−2300−232323−232-1-21000−33003−3−33000000000000000000
χ568-8-4-4224-24-2-1-1-45114-50−23230023−23−23232-1-210003−300−333−3000000000000000000
χ57161644-8-84-84-8-2-244-2-2440000000001-21-200000000000000000000000000000
χ5816164-84-84-8-8444-2-244-2-2000000000-21-2100000000000000000000000000000
χ5916-1644-8-8-48-48-2-24422-4-40000000001-2-1200000000000000000000000000000
χ6016-164-84-8-488-444-2-2-4-422000000000-212-100000000000000000000000000000

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