Finite Group Databasebeta

← Group #72220561

Character table — Group #72220561

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size1144448899991616161616161616181836363636363636363636363672728181162162162162162162162162162162
order12336636222233336666446666121212121212121266224444444444
χ1111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ411111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ5111111111-1-111111111111111111111111-1-1-1-1-1-1ii−i−iii−i−i
χ6111111111-1-111111111111111111111111-1-1-1-1-1-1−i−iii−i−iii
χ7111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ8111111111-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ91-111-1-11-111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i1-11-1i−i1-11-1i−ii−i
χ101-111-1-11-111-1-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i1-11-1i−i-11-11−ii−ii
χ111-111-1-11-111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii1-11-1−ii1-11-1−ii−ii
χ121-111-1-11-111-1-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii1-11-1−ii-11-11i−ii−i
χ131-111-1-11-11-11-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-11-11−iii−i−ii-111-1
χ141-111-1-11-11-11-11111-1-1-1-1i−i11-1-1iiii−i−i−i−i-11-11−ii−iii−i1-1-11
χ151-111-1-11-11-11-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-11-11i−ii−i−ii1-1-11
χ161-111-1-11-11-11-11111-1-1-1-1−ii11-1-1−i−i−i−iiiii-11-11i−i−iii−i-111-1
χ1722222222-222-22222222200-2-2-2-20000000022-2-20000000000
χ1822222222-2-2-2-22222222200-2-2-2-200000000-2-2220000000000
χ192-222-2-22-2-22-222222-2-2-2-200-2-222000000002-2-220000000000
χ202-222-2-22-2-2-2222222-2-2-2-200-2-22200000000-222-20000000000
χ21441-21-244400411-2-211-2-2441-21-211-2-211-2-200000000000000
χ22441-21-244400411-2-211-2-2-4-41-21-2-1-122-1-12200000000000000
χ23441-21-244-400-411-2-211-2-200-12-123i−3i003i−3i0000000000000000
χ24441-21-244-400-411-2-211-2-200-12-12−3i3i00−3i3i0000000000000000
χ2544-21-21444004-2-211-2-21144-21-21-2-211-2-21100000000000000
χ2644-21-21444004-2-211-2-211-4-4-21-2122-1-122-1-100000000000000
χ2744-21-2144-400-4-2-211-2-211002-12-1003i−3i003i−3i00000000000000
χ2844-21-2144-400-4-2-211-2-211002-12-100−3i3i00−3i3i00000000000000
χ294-41-2-124-4400-411-2-2-1-1224i−4i1-2-12ii−2i−2i−i−i2i2i00000000000000
χ304-41-2-124-4400-411-2-2-1-122−4i4i1-2-12−i−i2i2iii−2i−2i00000000000000
χ314-41-2-124-4-400411-2-2-1-12200-121-23-300-330000000000000000
χ324-41-2-124-4-400411-2-2-1-12200-121-2-33003-30000000000000000
χ334-4-212-14-4400-4-2-21122-1-14i−4i-212-1−2i−2iii2i2i−i−i00000000000000
χ344-4-212-14-4400-4-2-21122-1-1−4i4i-212-12i2i−i−i−2i−2iii00000000000000
χ354-4-212-14-4-4004-2-21122-1-1002-1-21003-300-3300000000000000
χ364-4-212-14-4-4004-2-21122-1-1002-1-2100-33003-300000000000000
χ37888888-1-10880-1-1-1-1-1-1-1-100000000000000-1-1000000000000
χ38888888-1-10-8-80-1-1-1-1-1-1-1-10000000000000011000000000000
χ398-888-8-8-1108-80-1-1-1-1111100000000000000-11000000000000
χ408-888-8-8-110-880-1-1-1-11111000000000000001-1000000000000
χ4116164-84-8-2-200004-5114-5110000000000000000000000000000
χ4216164-84-8-2-20000-5411-54110000000000000000000000000000
χ431616-84-84-2-20000114-5114-50000000000000000000000000000
χ441616-84-84-2-2000011-5411-540000000000000000000000000000
χ4516-164-8-48-2200004-511-45-1-10000000000000000000000000000
χ4616-164-8-48-220000-54115-4-1-10000000000000000000000000000
χ4716-16-848-4-220000114-5-1-1-450000000000000000000000000000
χ4816-16-848-4-22000011-54-1-15-40000000000000000000000000000

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