Finite Group Databasebeta

← Group #11858627

Character table — Group #11858627

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size111122888888889999181818181818181818183636363636363636111122888888889999181818181818181818183636363636363636
order12442436661212121222442488888888888888882244246666121212122244248888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i1111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i
χ61111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii1111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii
χ71111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii1111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii
χ81111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i1111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i
χ911-1-11-11111-1-1-1-1-1-111-1111-1-111-1-11-11-11-11-111-1-11-11111-1-1-1-1-1-111-1111-1-111-1-11-11-11-11-1
χ1011-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1-11-11-11-1111-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1-11-11-11-11
χ1111-1-11-11111-1-1-1-1-1-111-11-1-111-1-1111-11-1-11-1111-1-11-11111-1-1-1-1-1-111-11-1-111-1-1111-11-1-11-11
χ1211-1-11-11111-1-1-1-1-1-111-11-1-111-1-111-11-111-11-111-1-11-11111-1-1-1-1-1-111-11-1-111-1-111-11-111-11-1
χ1311-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111i−i−iii−i−ii11-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111i−i−iii−i−ii
χ1411-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111−iii−i−iii−i11-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111−iii−i−iii−i
χ1511-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1i−i−ii−iii−i11-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1i−i−ii−iii−i
χ1611-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1−iii−ii−i−ii11-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1−iii−ii−i−ii
χ1722222222222222-2-2-2-2-2-2000000000000000022222222222222-2-2-2-2-2-20000000000000000
χ182222-2-22-2-2222-2-22222-2-200000000000000002222-2-22-2-2222-2-22222-2-20000000000000000
χ1922-2-22-22222-2-2-2-222-2-22-2000000000000000022-2-22-22222-2-2-2-222-2-22-20000000000000000
χ2022-2-2-222-2-22-2-222-2-2222-2000000000000000022-2-2-222-2-22-2-222-2-2222-20000000000000000
χ212-22i−2i00200-22i−2i002-22i−2i00i2−i22−22−2i2−i2000000002-22i−2i00200-22i−2i002-22i−2i00i2−i22−22−2i2−i200000000
χ222-22i−2i00200-22i−2i002-22i−2i00−i2i2−22−22−i2i2000000002-22i−2i00200-22i−2i002-22i−2i00−i2i2−22−22−i2i200000000
χ232-22i−2i00200-22i−2i00-22−2i2i00i2−i22−2−22−i2i2000000002-22i−2i00200-22i−2i00-22−2i2i00i2−i22−2−22−i2i200000000
χ242-22i−2i00200-22i−2i00-22−2i2i00−i2i2−222−2i2−i2000000002-22i−2i00200-22i−2i00-22−2i2i00−i2i2−222−2i2−i200000000
χ252-2−2i2i00200-2−2i2i002-2−2i2i00i2−i2−22−22i2−i2000000002-2−2i2i00200-2−2i2i002-2−2i2i00i2−i2−22−22i2−i200000000
χ262-2−2i2i00200-2−2i2i002-2−2i2i00−i2i22−22−2−i2i2000000002-2−2i2i00200-2−2i2i002-2−2i2i00−i2i22−22−2−i2i200000000
χ272-2−2i2i00200-2−2i2i00-222i−2i00i2−i2−222−2−i2i2000000002-2−2i2i00200-2−2i2i00-222i−2i00i2−i2−222−2−i2i200000000
χ282-2−2i2i00200-2−2i2i00-222i−2i00−i2i22−2−22i2−i2000000002-2−2i2i00200-2−2i2i00-222i−2i00−i2i22−2−22i2−i200000000
χ29888888-1-1-1-1-1-1-1-10000000000000000000000888888-1-1-1-1-1-1-1-10000000000000000000000
χ308888-8-8-111-1-1-11100000000000000000000008888-8-8-111-1-1-1110000000000000000000000
χ3188-8-88-8-1-1-1-11111000000000000000000000088-8-88-8-1-1-1-111110000000000000000000000
χ3288-8-8-88-111-111-1-1000000000000000000000088-8-8-88-111-111-1-10000000000000000000000
χ338-88i−8i00-13-31−ii3i−3i00000000000000000000008-88i−8i00-13-31−ii3i−3i0000000000000000000000
χ348-88i−8i00-1-331−ii−3i3i00000000000000000000008-88i−8i00-1-331−ii−3i3i0000000000000000000000
χ358-8−8i8i00-13-31i−i−3i3i00000000000000000000008-8−8i8i00-13-31i−i−3i3i0000000000000000000000
χ368-8−8i8i00-1-331i−i3i−3i00000000000000000000008-8−8i8i00-1-331i−i3i−3i0000000000000000000000
χ37111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ381111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ3911111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ4011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1ii−i−iii−i−i-1-1-1-111-111-1-1-1111111-1-1-1-1-1-11111−i−iii−i−iii
χ421111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1−i−iii−i−iii-1-1-1-111-111-1-1-1111111-1-1-1-1-1-11111ii−i−iii−i−i
χ431111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111ii−i−i−i−iii-1-1-1-111-111-1-1-1111111-1-11111-1-1-1-1−i−iiiii−i−i
χ441111-1-11-1-1111-1-1-1-1-1-111-1-1-1-11111−i−iiiii−i−i-1-1-1-111-111-1-1-1111111-1-11111-1-1-1-1ii−i−i−i−iii
χ4511-1-11-11111-1-1-1-1-1-111-1111-1-111-1-11-11-11-11-1-1-111-11-1-1-1-1111111-1-11-1-1-111-1-111-11-11-11-11
χ4611-1-11-11111-1-1-1-1-1-111-1111-1-111-1-1-11-11-11-11-1-111-11-1-1-1-1111111-1-11-1-1-111-1-1111-11-11-11-1
χ4711-1-11-11111-1-1-1-1-1-111-11-1-111-1-1111-11-1-11-11-1-111-11-1-1-1-1111111-1-11-111-1-111-1-1-11-111-11-1
χ4811-1-11-11111-1-1-1-1-1-111-11-1-111-1-111-11-111-11-1-1-111-11-1-1-1-1111111-1-11-111-1-111-1-11-11-1-11-11
χ4911-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111i−i−iii−i−ii-1-1111-1-111-111-1-1-1-1111-1-1-11111-1-1−iii−i−iii−i
χ5011-1-1-111-1-11-1-11111-1-1-1111-1-1-1-111−iii−i−iii−i-1-1111-1-111-111-1-1-1-1111-1-1-11111-1-1i−i−iii−i−ii
χ5111-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1i−i−ii−iii−i-1-1111-1-111-111-1-1-1-1111-111-1-1-1-111−iii−ii−i−ii
χ5211-1-1-111-1-11-1-11111-1-1-11-1-11111-1-1−iii−ii−i−ii-1-1111-1-111-111-1-1-1-1111-111-1-1-1-111i−i−ii−iii−i
χ5322222222222222-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000
χ542222-2-22-2-2222-2-22222-2-20000000000000000-2-2-2-222-222-2-2-222-2-2-2-2220000000000000000
χ5522-2-22-22222-2-2-2-222-2-22-20000000000000000-2-222-22-2-2-2-22222-2-222-220000000000000000
χ5622-2-2-222-2-22-2-222-2-2222-20000000000000000-2-2222-2-222-222-2-222-2-2-220000000000000000
χ572-22i−2i00200-22i−2i002-22i−2i00i2−i22−22−2i2−i200000000-22−2i2i00-2002−2i2i00-22−2i2i00−i2i2−22−22−i2i200000000
χ582-22i−2i00200-22i−2i002-22i−2i00−i2i2−22−22−i2i200000000-22−2i2i00-2002−2i2i00-22−2i2i00i2−i22−22−2i2−i200000000
χ592-22i−2i00200-22i−2i00-22−2i2i00i2−i22−2−22−i2i200000000-22−2i2i00-2002−2i2i002-22i−2i00−i2i2−222−2i2−i200000000
χ602-22i−2i00200-22i−2i00-22−2i2i00−i2i2−222−2i2−i200000000-22−2i2i00-2002−2i2i002-22i−2i00i2−i22−2−22−i2i200000000
χ612-2−2i2i00200-2−2i2i002-2−2i2i00i2−i2−22−22i2−i200000000-222i−2i00-20022i−2i00-222i−2i00−i2i22−22−2−i2i200000000
χ622-2−2i2i00200-2−2i2i002-2−2i2i00−i2i22−22−2−i2i200000000-222i−2i00-20022i−2i00-222i−2i00i2−i2−22−22i2−i200000000
χ632-2−2i2i00200-2−2i2i00-222i−2i00i2−i2−222−2−i2i200000000-222i−2i00-20022i−2i002-2−2i2i00−i2i22−2−22i2−i200000000
χ642-2−2i2i00200-2−2i2i00-222i−2i00−i2i22−2−22i2−i200000000-222i−2i00-20022i−2i002-2−2i2i00i2−i2−222−2−i2i200000000
χ65888888-1-1-1-1-1-1-1-10000000000000000000000-8-8-8-8-8-8111111110000000000000000000000
χ668888-8-8-111-1-1-1110000000000000000000000-8-8-8-8881-1-1111-1-10000000000000000000000
χ6788-8-88-8-1-1-1-111110000000000000000000000-8-888-881111-1-1-1-10000000000000000000000
χ6888-8-8-88-111-111-1-10000000000000000000000-8-8888-81-1-11-1-1110000000000000000000000
χ698-88i−8i00-13-31−ii3i−3i0000000000000000000000-88−8i8i001-33-1i−i−3i3i0000000000000000000000
χ708-88i−8i00-1-331−ii−3i3i0000000000000000000000-88−8i8i0013-3-1i−i3i−3i0000000000000000000000
χ718-8−8i8i00-13-31i−i−3i3i0000000000000000000000-888i−8i001-33-1−ii3i−3i0000000000000000000000
χ728-8−8i8i00-1-331i−i3i−3i0000000000000000000000-888i−8i0013-3-1−ii−3i3i0000000000000000000000

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