Finite Group Databasebeta

← Group #13099910

Character table — Group #13099910

Order 1600.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64
size11112244444444888888888888888888882020202025252525404040404040404050505050505050505050100100100100
order124424551010202020205510101010101010102020202020202020202088882244404040404040404024888888888888
χ11111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−iii
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiii−i−i
χ71111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ81111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ911-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i-1111-1-111-1-1i−ii−i
χ1011-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1i−ii−i11-1-1ii−i−iii−i−i-11-1-111-1-111−ii−ii
χ1111-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1i−i−ii-1-111ii−i−i−i−iii1-1ii−i−i−i−iii-111-1
χ1211-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1i−i−ii-1-111ii−i−i−i−iii1-1−i−iiiii−i−i1-1-11
χ1311-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1−iii−i-1-111−i−iiiii−i−i1-1ii−i−i−i−iii1-1-11
χ1411-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1−iii−i-1-111−i−iiiii−i−i1-1−i−iiiii−i−i-111-1
χ1511-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii-1111-1-111-1-1−ii−ii
χ1611-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1−ii−ii11-1-1−i−iii−i−iii-11-1-111-1-111i−ii−i
χ172222-2-22222222222-2-2-2-2-2-222-2-2-2-2-2-222220000222200000000-2-2000000000000
χ182222-2-22222222222-2-2-2-2-2-222-2-2-2-2-2-222220000-2-2-2-20000000022000000000000
χ1922-2-22-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2000022-2-2000000002-2000000000000
χ2022-2-22-22222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-20000-2-22200000000-22000000000000
χ212-22i−2i0022-2-22i2i−2i−2i22000000-2-20000002i2i−2i−2i00002-22i−2i0000000000i2−i22−2i2−i22−20000
χ222-22i−2i0022-2-22i2i−2i−2i22000000-2-20000002i2i−2i−2i00002-22i−2i0000000000−i2i2−22−i2i2−220000
χ232-22i−2i0022-2-22i2i−2i−2i22000000-2-20000002i2i−2i−2i0000-22−2i2i00000000002−2−i2i2−22i2−i20000
χ242-22i−2i0022-2-22i2i−2i−2i22000000-2-20000002i2i−2i−2i0000-22−2i2i0000000000−22i2−i22−2−i2i20000
χ252-2−2i2i0022-2-2−2i−2i2i2i22000000-2-2000000−2i−2i2i2i00002-2−2i2i0000000000i2−i2−22i2−i2−220000
χ262-2−2i2i0022-2-2−2i−2i2i2i22000000-2-2000000−2i−2i2i2i00002-2−2i2i0000000000−i2i22−2−i2i22−20000
χ272-2−2i2i0022-2-2−2i−2i2i2i22000000-2-2000000−2i−2i2i2i0000-222i−2i00000000002−2i2−i2−22−i2i20000
χ282-2−2i2i0022-2-2−2i−2i2i2i22000000-2-2000000−2i−2i2i2i0000-222i−2i0000000000−22−i2i22−2i2−i20000
χ294444444-14-14-14-1-1-14-1-1-1-1-1-1-14-1-1-1-1-1-1-1-1-1004400000000-1-1-1-100000000000000
χ304444444-14-14-14-1-1-14-1-1-1-1-1-1-14-1-1-1-1-1-1-1-1-100-4-400000000111100000000000000
χ31444444-14-14-14-14-1-1-14-1-1-1-1-1-1-14-1-1-1-1-1-1-1-144000000-1-1-1-1000000000000000000
χ32444444-14-14-14-14-1-1-14-1-1-1-1-1-1-14-1-1-1-1-1-1-1-1-4-40000001111000000000000000000
χ334444-4-44-14-14-14-1-1-1-411111-1-1-411111-1-1-1-10000000000005−55−500000000000000
χ344444-4-44-14-14-14-1-1-1-411111-1-1-411111-1-1-1-1000000000000−55−5500000000000000
χ354444-4-4-14-14-14-14-1-11-41111-1-11-41111-1-1-1-1000000005−55−5000000000000000000
χ364444-4-4-14-14-14-14-1-11-41111-1-11-41111-1-1-1-100000000−55−55000000000000000000
χ3744-4-44-44-14-1-41-41-1-14-1-1-1-1-1-1-1-4111111111000000000000i5−i5−i5i500000000000000
χ3844-4-44-44-14-1-41-41-1-14-1-1-1-1-1-1-1-4111111111000000000000−i5i5i5−i500000000000000
χ3944-4-44-4-14-141-41-4-1-1-14-1-1-1-1-1-11-41111111100000000i5−i5−i5i5000000000000000000
χ4044-4-44-4-14-141-41-4-1-1-14-1-1-1-1-1-11-41111111100000000−i5i5i5−i5000000000000000000
χ4144-4-4-444-14-1-41-41-1-1-411111-1-14-1-1-1-1-11111004i−4i00000000−i−iii00000000000000
χ4244-4-4-444-14-1-41-41-1-1-411111-1-14-1-1-1-1-1111100−4i4i00000000ii−i−i00000000000000
χ4344-4-4-44-14-141-41-4-1-11-41111-1-1-14-1-1-1-111114i−4i000000−i−iii000000000000000000
χ4444-4-4-44-14-141-41-4-1-11-41111-1-1-14-1-1-1-11111−4i4i000000ii−i−i000000000000000000
χ45888888-2-2-2-2-2-2-2-23-2-2-233-2-23-2-2-233-2-23-23-2000000000000000000000000000000
χ46888888-2-2-2-2-2-2-2-2-23-2-2-2-233-23-2-2-2-233-23-23000000000000000000000000000000
χ478888-8-8-2-2-2-2-2-2-2-23-222-3-3223-222-3-3223-23-2000000000000000000000000000000
χ488888-8-8-2-2-2-2-2-2-2-2-232222-3-3-232222-3-3-23-23000000000000000000000000000000
χ4988-8-88-8-2-2-2-222223-2-2-233-2-23-222-3-322-32-32000000000000000000000000000000
χ5088-8-88-8-2-2-2-22222-23-2-2-2-233-232222-3-32-32-3000000000000000000000000000000
χ5188-8-8-88-2-2-2-222223-222-3-3223-2-2-233-2-2-32-32000000000000000000000000000000
χ5288-8-8-88-2-2-2-22222-232222-3-3-23-2-2-2-2332-32-3000000000000000000000000000000
χ538-88i−8i008-2-828i−2i−8i2i-2-200000022000000−2i−2i2i2i000000000000000000000000000000
χ548-88i−8i00-282-8−2i8i2i−8i-2-200000022000000−2i−2i2i2i000000000000000000000000000000
χ558-88i−8i00-2-222−2i−2i2i2i3-2005-500-32005i−5i003i−2i−3i2i000000000000000000000000000000
χ568-88i−8i00-2-222−2i−2i2i2i3-200-5500-3200−5i5i003i−2i−3i2i000000000000000000000000000000
χ578-88i−8i00-2-222−2i−2i2i2i-2300005-52-300005i−5i−2i3i2i−3i000000000000000000000000000000
χ588-88i−8i00-2-222−2i−2i2i2i-230000-552-30000−5i5i−2i3i2i−3i000000000000000000000000000000
χ598-8−8i8i008-2-82−8i2i8i−2i-2-2000000220000002i2i−2i−2i000000000000000000000000000000
χ608-8−8i8i00-282-82i−8i−2i8i-2-2000000220000002i2i−2i−2i000000000000000000000000000000
χ618-8−8i8i00-2-2222i2i−2i−2i3-2005-500-3200−5i5i00−3i2i3i−2i000000000000000000000000000000
χ628-8−8i8i00-2-2222i2i−2i−2i3-200-5500-32005i−5i00−3i2i3i−2i000000000000000000000000000000
χ638-8−8i8i00-2-2222i2i−2i−2i-2300005-52-30000−5i5i2i−3i−2i3i000000000000000000000000000000
χ648-8−8i8i00-2-2222i2i−2i−2i-230000-552-300005i−5i2i−3i−2i3i000000000000000000000000000000

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