Finite Group Databasebeta

← Group #72230253

Character table — Group #72230253

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111122222222444444445555666688888888101010101010101010101010121212121616161618182020202020202020202020202020202020202020242424242424242424242424303030303030303030303030454545454545454560606060606060606060606072729090
order124433661212121235610121220202244224415153030606060604444666612121212661212153060602466121212121212121212121212121212121212101020203030303060606060224444444444444444446612121212121212121212102024
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ31111111111111111111111111-11-1111111111111111111111-11-11111-1-1111111111111111111111-11-111-1-111-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-11-111111111-1-1-1-1111111111-11-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-11-11-1-1-1-1-11111111111111-11-1-1-1-1-11111-1-1-1-1
χ5111111111111111111111111-11-1111111111111111111111-11-111111-1-111111111111111111111-11-11-1-111-1-111-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-11-1111111111-1-1-1-111111111-11-111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-111-11-111111-1-1-1-111111111-11-111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ911111111111111111111-1-1-1-1111111111111ii−i−i-1-1-1-1-1-1-1-11111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i111111111111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i-1-1-1-1ii−i−iii−i−i11-1-1
χ1011111111111111111111-1-1-1-1111111111111−i−iii-1-1-1-1-1-1-1-11111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii111111111111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii-1-1-1-1−i−iii−i−iii11-1-1
χ1111111111111111111111-1-1-1-11-11-111111111ii−i−i-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-111-1-111-1-1-11-11ii−i−i−i−iii−i−i−i−iiiii-11-11ii−i−i−i−iii-1-111
χ1211111111111111111111-1-1-1-11-11-111111111−i−iii-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-111-1-111-1-1-11-11−i−iiiii−i−iiiii−i−i−i−i-11-11−i−iiiii−i−i-1-111
χ1311111111111111111111-1-1-1-1-11-1111111111ii−i−i-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11-1-111-1-1111-11-1−i−iiiii−i−i−i−i−i−iiiii1-11-1−i−iiiii−i−i-1-111
χ1411111111111111111111-1-1-1-1-11-1111111111−i−iii-1-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11-1-111-1-1111-11-1ii−i−i−i−iiiiiii−i−i−i−i1-11-1ii−i−i−i−iii-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i1111−i−iii−i−iii11-1-1
χ1611111111111111111111-1-1-1-1-1-1-1-111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii1111ii−i−iii−i−i11-1-1
χ1711-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-11-11111-1-1-1-111-1-111-1-1-1111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-11-11-11-11-111-1-111-1-111-1-11-11-11-11-1-11-11
χ1811-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-11-111111-1-1-1-111-1-111-1-1-1111-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-111-1-1-11-11-11-11-1-111-1-11111-1-1-11-11-11-11-11-11
χ1911-1-11111-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-11-11-11111-1-1-1-11-1-1111-1-11-111-1-111-1-111-1-111-1-111-1-11-1-1111-1-1-1-1111-1-111-11-1-11-11-1-111-1-1111-1-111-11-1-11-111-11-1
χ2011-1-11111-1-1-1-11111-1-1-1-111-1-11-1-111111-1-1-1-1-11-111111-1-1-1-11-1-1111-1-11-111-1-1-1-111-1-111-1-111-1-1111-1-1111-1-1-1-1111-1-11-11-111-11-111-1-111-1-11-1-11-11-111-11-11-11-1
χ2111-1-11111-1-1-1-11111-1-1-1-111-1-1-111-11111-1-1-1-11-11-11111-1-1-1-1-111-111-1-11-111-1-111-1-111-1-111-1-111-1-1-111-1-1-11111-1-1-111-1-11-111-11-1-1-111-1-111-111-1-11-111-11-11-11-1
χ2211-1-11111-1-1-1-11111-1-1-1-111-1-1-111-11111-1-1-1-1-11-111111-1-1-1-1-111-111-1-11-111-1-1-1-111-1-111-1-111-1-111-111-1-1-11111-1-1-111-11-11-1-11-1111-1-111-1-1-111-11-11-1-11-111-11-1
χ2311-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1-1-11111-1-1-1111-1-111-1-111-1-111-1-111-1-1-1-111-1-1-1-11111-1-111-11-11-11-1111-1-111-1-1-1-111-11-11-11-11-11-11
χ2411-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-11-111111-1-1-1-1-1-11111-1-1-1111-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1111-11-11-11-1-1-111-1-111-1-1111-11-11-11-1-11-11
χ2511-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1i−i−ii-1-1-1-1111111-1-111-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-11111-1-1-1-1-1-111i−i−iii−i−iiii−i−i−i−iii-1-111i−i−iii−i−ii-111-1
χ2611-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1−iii−i-1-1-1-1111111-1-111-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-11111-1-1-1-1-1-111−iii−i−iii−i−i−iiiii−i−i-1-111−iii−i−iii−i-111-1
χ2711-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-1-1-1i−i−ii-1-1-1-111111-1-1111-1-11-1-1-111ii−i−i−i−iiiii−i−i−i−iii1-1-1111-1-1-1-111-111-1i−i−ii−iii−i−i−iiiii−i−i-111-1i−i−ii−iii−i1-1-11
χ2811-1-11111-1-1-1-11111-1-1-1-1-1-1111-1-111111-1-1-1-1−iii−i-1-1-1-111111-1-1111-1-11-1-1-111−i−iiiii−i−i−i−iiiii−i−i1-1-1111-1-1-1-111-111-1−iii−ii−i−iiii−i−i−i−iii-111-1−iii−ii−i−ii1-1-11
χ2911-1-11111-1-1-1-11111-1-1-1-1-1-111-111-11111-1-1-1-1i−i−ii-1-1-1-11111-111-111-1-11-1-1-111ii−i−i−i−iiiii−i−i−i−iii-111-1-1-11111-1-11-1-11−iii−ii−i−ii−i−iiiii−i−i1-1-11−iii−ii−i−ii1-1-11
χ3011-1-11111-1-1-1-11111-1-1-1-1-1-111-111-11111-1-1-1-1−iii−i-1-1-1-11111-111-111-1-11-1-1-111−i−iiiii−i−i−i−iiiii−i−i-111-1-1-11111-1-11-1-11i−i−ii−iii−iii−i−i−i−iii1-1-11i−i−ii−iii−i1-1-11
χ3111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1i−i−ii-1-1-1-11111-1-11111-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii-1-111-1-1-1-1111111-1-1−iii−i−iii−iii−i−i−i−iii11-1-1−iii−i−iii−i-111-1
χ3211-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1−iii−i-1-1-1-11111-1-11111-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i-1-111-1-1-1-1111111-1-1i−i−iii−i−ii−i−iiiii−i−i11-1-1i−i−iii−i−ii-111-1
χ3322222-12-122-1-1-12-12-1-122222202022-12-122-1-1222222-1-122-1-10-10-1-1-1-1-100-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-1020200-1-100-1-1020200002222000000000-10-10000-1-1-1-10000
χ3422222-12-122-1-1-12-12-1-122222202022-12-122-1-1-2-2-2-222-1-122-1-10-10-1-1-1-1-100-1-1-1-1-21-21-21-2111111111020200-1-100-1-102020000-2-2-2-2000000000-10-1000011110000
χ3522222-12-122-1-1-12-12-1-12222220-20-22-12-122-1-1222222-1-122-1-10101-1-1-1-100-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-10-20-2001100110-20-20000-2-2-2-2000000000101000011110000
χ3622222-12-122-1-1-12-12-1-12222220-20-22-12-122-1-1-2-2-2-222-1-122-1-10101-1-1-1-100-1-1-1-1-21-21-21-21111111110-20-2001100110-20-2000022220000000001010000-1-1-1-10000
χ3722222-12-122-1-1-12-12-1-122-2-2-2-202022-12-122-1-12i2i−2i−2i-2-211-2-2110-10-1-1-1-1-10011112i−i2i−i−2ii−2ii−i−i−i−iiiii020200-1-100-1-10-20-200002i2i−2i−2i0000000001010000−i−iii0000
χ3822222-12-122-1-1-12-12-1-122-2-2-2-202022-12-122-1-1−2i−2i2i2i-2-211-2-2110-10-1-1-1-1-1001111−2ii−2ii2i−i2i−iiiii−i−i−i−i020200-1-100-1-10-20-20000−2i−2i2i2i0000000001010000ii−i−i0000
χ3922222-12-122-1-1-12-12-1-122-2-2-2-20-20-22-12-122-1-12i2i−2i−2i-2-211-2-2110101-1-1-1-10011112i−i2i−i−2ii−2ii−i−i−i−iiiii0-20-20011001102020000−2i−2i2i2i000000000-10-10000ii−i−i0000
χ4022222-12-122-1-1-12-12-1-122-2-2-2-20-20-22-12-122-1-1−2i−2i2i2i-2-211-2-2110101-1-1-1-1001111−2ii−2ii2i−i2i−iiiii−i−i−i−i0-20-200110011020200002i2i−2i−2i000000000-10-10000−i−iii0000
χ412222-12-12-1-122-12-12-1-12222222020-12-12-1-1222222-1-122-1-122-10-10-1-1-1-100-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-12020-1-100-1-10020202222000000000000-10-10-1-1-1-100000000
χ422222-12-12-1-122-12-12-1-12222222020-12-12-1-122-2-2-2-2-1-122-1-122-10-10-1-1-1-100-1-1-1-11-21-21-21-2111111112020-1-100-1-1002020-2-2-2-2000000000000-10-10111100000000
χ432222-12-12-1-122-12-12-1-1222222-20-20-12-12-1-1222222-1-122-1-1221010-1-1-1-100-1-1-1-1-12-12-12-12-1-1-1-1-1-1-1-1-20-2011001100-20-20-2-2-2-20000000000001010111100000000
χ442222-12-12-1-122-12-12-1-1222222-20-20-12-12-1-122-2-2-2-2-1-122-1-1221010-1-1-1-100-1-1-1-11-21-21-21-211111111-20-2011001100-20-2022220000000000001010-1-1-1-100000000
χ452222-12-12-1-122-12-12-1-122-2-2-2-22020-12-12-1-1222i2i−2i−2i11-2-211-2-2-10-10-1-1-1-1001111−i2i−i2ii−2ii−2i−i−i−i−iiiii2020-1-100-1-100-20-202i2i−2i−2i0000000000001010−i−iii00000000
χ462222-12-12-1-122-12-12-1-122-2-2-2-22020-12-12-1-122−2i−2i2i2i11-2-211-2-2-10-10-1-1-1-1001111i−2ii−2i−i2i−i2iiiii−i−i−i−i2020-1-100-1-100-20-20−2i−2i2i2i0000000000001010ii−i−i00000000
χ472222-12-12-1-122-12-12-1-122-2-2-2-2-20-20-12-12-1-1222i2i−2i−2i11-2-211-2-21010-1-1-1-1001111−i2i−i2ii−2ii−2i−i−i−i−iiiii-20-20110011002020−2i−2i2i2i000000000000-10-10ii−i−i00000000
χ482222-12-12-1-122-12-12-1-122-2-2-2-2-20-20-12-12-1-122−2i−2i2i2i11-2-211-2-21010-1-1-1-1001111i−2ii−2i−i2i−i2iiiii−i−i−i−i-20-201100110020202i2i−2i−2i000000000000-10-10−i−iii00000000
χ4922-2-22-12-1-2-211-12-1211-2-222-2-2020-22-12-1-2-2112-22-222-1-1-2-2110-101-1-11100-1-1112-1-212-1-21-1-111-1-111020-200-1-10011020-200002-22-2000000000-1010000-11-110000
χ5022-2-22-12-1-2-211-12-1211-2-222-2-2020-22-12-1-2-211-22-2222-1-1-2-2110-101-1-11100-1-111-212-1-212-111-1-111-1-1020-200-1-10011020-20000-22-22000000000-10100001-11-10000
χ5122-2-22-12-1-2-211-12-1211-2-222-2-20-2022-12-1-2-2112-22-222-1-1-2-211010-1-1-11100-1-1112-1-212-1-21-1-111-1-1110-202001100-1-10-2020000-22-2200000000010-100001-11-10000
χ5222-2-22-12-1-2-211-12-1211-2-222-2-20-2022-12-1-2-211-22-2222-1-1-2-211010-1-1-11100-1-111-212-1-212-111-1-111-1-10-202001100-1-10-20200002-22-200000000010-10000-11-110000
χ5322-2-22-12-1-2-211-12-1211-2-2-2-222020-22-12-1-2-2112i−2i−2i2i-2-21122-1-10-101-1-1110011-1-12i−i−2ii−2ii2i−i−i−iiiii−i−i020-200-1-100110-20200002i−2i−2i2i00000000010-10000−iii−i0000
χ5422-2-22-12-1-2-211-12-1211-2-2-2-222020-22-12-1-2-211−2i2i2i−2i-2-21122-1-10-101-1-1110011-1-1−2ii2i−i2i−i−2iiii−i−i−i−iii020-200-1-100110-2020000−2i2i2i−2i00000000010-10000i−i−ii0000
χ5522-2-22-12-1-2-211-12-1211-2-2-2-2220-2022-12-1-2-2112i−2i−2i2i-2-21122-1-1010-1-1-1110011-1-12i−i−2ii−2ii2i−i−i−iiiii−i−i0-202001100-1-1020-20000−2i2i2i−2i000000000-1010000i−i−ii0000
χ5622-2-22-12-1-2-211-12-1211-2-2-2-2220-2022-12-1-2-211−2i2i2i−2i-2-21122-1-1010-1-1-1110011-1-1−2ii2i−i2i−i−2iiii−i−i−i−iii0-202001100-1-1020-200002i−2i−2i2i000000000-1010000−iii−i0000
χ5722-2-2-12-1211-2-2-12-1211-2-222-2-220-20-12-1211-2-22-22-2-1-12211-2-2-1010-1-11100-1-111-121-2-121-2-1-111-1-11120-20-1-100110020-202-22-2000000000000-1010-11-1100000000
χ5822-2-2-12-1211-2-2-12-1211-2-222-2-220-20-12-1211-2-2-22-22-1-12211-2-2-1010-1-11100-1-1111-2-121-2-1211-1-111-1-120-20-1-100110020-20-22-22000000000000-10101-11-100000000
χ5922-2-2-12-1211-2-2-12-1211-2-222-2-2-2020-12-1211-2-22-22-2-1-12211-2-210-10-1-11100-1-111-121-2-121-2-1-111-1-111-20201100-1-100-2020-22-2200000000000010-101-11-100000000
χ6022-2-2-12-1211-2-2-12-1211-2-222-2-2-2020-12-1211-2-2-22-22-1-12211-2-210-10-1-11100-1-1111-2-121-2-1211-1-111-1-1-20201100-1-100-20202-22-200000000000010-10-11-1100000000
χ6122-2-2-12-1211-2-2-12-1211-2-2-2-22220-20-12-1211-2-22i−2i−2i2i11-2-2-1-122-1010-1-1110011-1-1−i2ii−2ii−2i−i2i−i−iiiii−i−i20-20-1-1001100-20202i−2i−2i2i00000000000010-10−iii−i00000000
χ6222-2-2-12-1211-2-2-12-1211-2-2-2-22220-20-12-1211-2-2−2i2i2i−2i11-2-2-1-122-1010-1-1110011-1-1i−2i−i2i−i2ii−2iii−i−i−i−iii20-20-1-1001100-2020−2i2i2i−2i00000000000010-10i−i−ii00000000
χ6322-2-2-12-1211-2-2-12-1211-2-2-2-222-2020-12-1211-2-22i−2i−2i2i11-2-2-1-12210-10-1-1110011-1-1−i2ii−2ii−2i−i2i−i−iiiii−i−i-20201100-1-10020-20−2i2i2i−2i000000000000-1010i−i−ii00000000
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Here i is the imaginary unit (i² = −1).