Finite Group Databasebeta

← Group #13025009

Character table — Group #13025009

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1122244444488881010161616161616161620202020202020323232324040404040404040808080808080
order12244588101010482020884420204040404024448882020202016161616161616164416161616
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111-1-11111111111111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-111111111-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1ii−i−i
χ6111111111111111-1-111111111-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1−i−iii
χ7111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ8111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-11111-111111-111-1-1-1-1-1-1-1-1111-1-11111-1-111-1-11-11-11-1
χ10111111-1-11111-111111-111-1-1-1-1-1-1-1-1111-1-111-1-111-1-1111-1-11-11
χ11111111-1-11111-11111-1111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-11-11-11
χ12111111-1-11111-11111-1111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-111-11-1
χ13111111-1-11111-111-1-11-111-1-1-1-11111-1-1-1-1-111ii−i−i−i−iii-11i−i−ii
χ14111111-1-11111-111-1-11-111-1-1-1-11111-1-1-1-1-111−i−iiiii−i−i-11−iii−i
χ15111111-1-11111-111-1-1-1111-1-1-1-11111-1-1-111-1-1ii−i−i−i−iii1-1−iii−i
χ16111111-1-11111-111-1-1-1111-1-1-1-11111-1-1-111-1-1−i−iiiii−i−i1-1i−i−ii
χ1722222222222-2-2222200-2-222-2-222-2-22-2-2000000000000000000
χ1822222222222-2-222-2-200-2-222-2-2-2-222-222000000000000000000
χ19222222-2-2222-22222200-2-2-2-222-2-2222-2-2000000000000000000
χ20222222-2-2222-2222-2-200-2-2-2-22222-2-2-222000000000000000000
χ2122-22-222i−2i-2-22002-20000002i−2i00002i−2i02-20000i2−i22−2i2−i22−2000000
χ2222-22-222i−2i-2-22002-20000002i−2i00002i−2i02-20000−i2i2−22−i2i2−22000000
χ2322-22-222i−2i-2-22002-20000002i−2i0000−2i2i0-2200002−2−i2i2−22i2−i2000000
χ2422-22-222i−2i-2-22002-20000002i−2i0000−2i2i0-220000−22i2−i22−2−i2i2000000
χ2522-22-22−2i2i-2-22002-2000000−2i2i00002i−2i0-2200002−2i2−i2−22−i2i2000000
χ2622-22-22−2i2i-2-22002-2000000−2i2i00002i−2i0-220000−22−i2i22−2i2−i2000000
χ2722-22-22−2i2i-2-22002-2000000−2i2i0000−2i2i02-20000i2−i2−22i2−i2−22000000
χ2822-22-22−2i2i-2-22002-2000000−2i2i0000−2i2i02-20000−i2i22−2−i2i22−2000000
χ2944444-144-1-1-144-1-10044-1-1-1-1-1-10000000-1-1-1-100000000000000
χ3044444-144-1-1-144-1-100-4-4-1-1-1-1-1-10000000111100000000000000
χ3144444-144-1-1-1-4-4-1-1000011-1-11100000005−55−500000000000000
χ3244444-144-1-1-1-4-4-1-1000011-1-1110000000−55−5500000000000000
χ3344444-1-4-4-1-1-14-4-1-1004-4-1-11111000000011-1-100000000000000
χ3444444-1-4-4-1-1-14-4-1-100-44-1-111110000000-1-11100000000000000
χ3544444-1-4-4-1-1-1-44-1-100001111-1-100000005−5−5500000000000000
χ3644444-1-4-4-1-1-1-44-1-100001111-1-10000000−555−500000000000000
χ37444-4-440044400-4-400000000004-400000000000000000000000
χ38444-4-440044400-4-40000000000-4400000000000000000000000
χ3944-4-44400-4-4400-4444000000000000-400000000000000000000
χ4044-4-44400-4-4400-44-4-4000000000000400000000000000000000
χ41888-8-8-200-2-2-20022000025−2500000000000000000000000000000
χ42888-8-8-200-2-2-200220000−252500000000000000000000000000000
χ4388-88-8-28i−8i22-200-22000000−2i2i000000000000000000000000000
χ4488-88-8-2−8i8i22-200-220000002i−2i000000000000000000000000000
χ4588-8-88-20022-2002-2000000002i5−2i50000000000000000000000000
χ4688-8-88-20022-2002-200000000−2i52i50000000000000000000000000
χ478-800080000-8000042−42000000000000000000000000000000000
χ488-800080000-80000−4242000000000000000000000000000000000
χ4916-16000-40045−454000000000000000000000000000000000000000
χ5016-16000-400−45454000000000000000000000000000000000000000

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