Finite Group Databasebeta

← Group #72220307

Character table — Group #72220307

Order 5184.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54
size1188889999161616163232363636367272727272727272727272728181144144144144162162162162162162162162162162162162324324324324
order1233664444336636224466661212121212121212226612124444888888884444
χ1111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1
χ6111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111
χ7111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-111
χ8111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1111111-1-1
χ91-111-1-1ii−i−i11-1-11-11-1i−i11-1-1ii−i−iii−i−i1-11-1i−ii−i1-111-1-1ii−i−i1-1i−i
χ101-111-1-1ii−i−i11-1-11-11-1i−i11-1-1ii−i−iii−i−i1-11-1i−ii−i1-1-1-111−i−iii-11−ii
χ111-111-1-1ii−i−i11-1-11-1-11−ii-1-111ii−i−i−i−iii1-1-11−iii−i1-111-1-1ii−i−i-11−ii
χ121-111-1-1ii−i−i11-1-11-1-11−ii-1-111ii−i−i−i−iii1-1-11−iii−i1-1-1-111−i−iii1-1i−i
χ131-111-1-1−i−iii11-1-11-11-1−ii11-1-1−i−iii−i−iii1-11-1−ii−ii1-111-1-1−i−iii1-1−ii
χ141-111-1-1−i−iii11-1-11-11-1−ii11-1-1−i−iii−i−iii1-11-1−ii−ii1-1-1-111ii−i−i-11i−i
χ151-111-1-1−i−iii11-1-11-1-11i−i-1-111−i−iiiii−i−i1-1-11i−i−ii1-111-1-1−i−iii-11i−i
χ161-111-1-1−i−iii11-1-11-1-11i−i-1-111−i−iiiii−i−i1-1-11i−i−ii1-1-1-111ii−i−i1-1−ii
χ1722222222222222220000000022220000220000-2-2-2-2000000000000
χ182222222-22-2222222000000002-22-20000-2-200000000i2−i2i2−i2i2−i2i2−i20000
χ192222222-22-2222222000000002-22-20000-2-200000000−i2i2−i2i2−i2i2−i2i20000
χ20222222-22-2222222200000000-22-220000-2-200000000i2−i2i2−i2−i2i2−i2i20000
χ21222222-22-2222222200000000-22-220000-2-200000000−i2i2−i2i2i2−i2i2−i20000
χ22222222-2-2-2-222222200000000-2-2-2-2000022000022-2-2000000000000
χ232-222-2-22i2i−2i−2i22-2-22-2000000002i2i−2i−2i00002-20000−2i2i-22000000000000
χ242-222-2-22i−2i−2i2i22-2-22-2000000002i−2i−2i2i0000-2200000000i2−i2−i2i2−222−20000
χ252-222-2-22i−2i−2i2i22-2-22-2000000002i−2i−2i2i0000-2200000000−i2i2i2−i22−2−220000
χ262-222-2-2−2i2i2i−2i22-2-22-200000000−2i2i2i−2i0000-2200000000i2−i2−i2i22−2−220000
χ272-222-2-2−2i2i2i−2i22-2-22-200000000−2i2i2i−2i0000-2200000000−i2i2i2−i2−222−20000
χ282-222-2-2−2i−2i2i2i22-2-22-200000000−2i−2i2i2i00002-200002i−2i-22000000000000
χ29888-18-10808-1-1-1-1-1-122222-12-10-10-12-12-100-1-1-1-10000000000000000
χ30888-18-10808-1-1-1-1-1-1-2-2-2-2-21-210-10-1-21-210011110000000000000000
χ31888-18-10-80-8-1-1-1-1-1-122-2-22-12-10101-21-2100-1-1110000000000000000
χ32888-18-10-80-8-1-1-1-1-1-1-2-222-21-2101012-12-10011-1-10000000000000000
χ3388-18-188080-1-1-1-1-1-12222-12-12-10-10-12-1200-1-1-1-10000000000000000
χ3488-18-188080-1-1-1-1-1-1-2-2-2-21-21-2-10-101-21-20011110000000000000000
χ3588-18-18-80-80-1-1-1-1-1-122-2-2-12-1210101-21-200-1-1110000000000000000
χ3688-18-18-80-80-1-1-1-1-1-1-2-2221-21-21010-12-120011-1-10000000000000000
χ378-88-1-8108i0−8i-1-111-112-22i−2i2-1-210−i0i2i−i−2ii00-11−ii0000000000000000
χ388-88-1-8108i0−8i-1-111-11-22−2i2i-212-10−i0i−2ii2i−i001-1i−i0000000000000000
χ398-88-1-810−8i08i-1-111-112-2−2i2i2-1-210i0−i−2ii2i−i00-11i−i0000000000000000
χ408-88-1-810−8i08i-1-111-11-222i−2i-212-10i0−i2i−i−2ii001-1−ii0000000000000000
χ418-8-181-88i0−8i0-1-111-112-22i−2i-121-2−i0i0−i2ii−2i00-11−ii0000000000000000
χ428-8-181-88i0−8i0-1-111-11-22−2i2i1-2-12−i0i0i−2i−i2i001-1i−i0000000000000000
χ438-8-181-8−8i08i0-1-111-112-2−2i2i-121-2i0−i0i−2i−i2i00-11i−i0000000000000000
χ448-8-181-8−8i08i0-1-111-11-222i−2i1-2-12i0−i0−i2ii−2i001-1−ii0000000000000000
χ451616-2-2-2-200007-2-27-2-2004400000000-2-2-2-20000110000000000000000
χ461616-2-2-2-200007-2-27-2-200-4-40000000022220000-1-10000000000000000
χ471616-2-2-2-20000-277-2-2-24400-2-2-2-2000000000011000000000000000000
χ481616-2-2-2-20000-277-2-2-2-4-40022220000000000-1-1000000000000000000
χ4916-16-2-22200007-22-7-22004i−4i00000000−2i−2i2i2i0000i−i0000000000000000
χ5016-16-2-22200007-22-7-2200−4i4i000000002i2i−2i−2i0000−ii0000000000000000
χ5116-16-2-2220000-27-72-224-400-2-22200000000001-1000000000000000000
χ5216-16-2-2220000-27-72-22-440022-2-20000000000-11000000000000000000
χ533232-4-4-4-40000-4-4-4-45500000000000000000000000000000000000000
χ5432-32-4-4440000-4-4445-500000000000000000000000000000000000000

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