Finite Group Databasebeta

← Group #13024801

Character table — Group #13024801

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size1122244444444558881010101616161616161616202020203232323240404040404040404040404040404040408080
order122445888810101044420202244420204040404088882020202041616161616161616161616161616161624
χ111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111-1-11111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-1111-1-1-111111111-1-1-1-11111-1iiii−i−i−i−iiiii−i−i−i−i-1-1
χ61111111111111-1-1111-1-1-111111111-1-1-1-11111-1−i−i−i−iiiii−i−i−i−iiiii-1-1
χ71111111111111-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11
χ81111111111111-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11
χ9111111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1111ii−i−iii−i−iii−i−iii−i−i1-1
χ10111111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-1111−i−iii−i−iii−i−iii−i−iii1-1
χ11111111-1-1-1-111111111111-1111-1-1-1-1-1-1-1-111-1-11ii−i−iii−i−i−i−iii−i−iii-11
χ12111111-1-1-1-111111111111-1111-1-1-1-1-1-1-1-111-1-11−i−iii−i−iiiii−i−iii−i−i-11
χ13111111-1-1-1-1111-1-1111-1-1-11-111-1-1-1-11111-1-111-111-1-1-1-11111-1-1-1-111-11
χ14111111-1-1-1-1111-1-1111-1-1-11-111-1-1-1-11111-1-111-1-1-11111-1-1-1-11111-1-1-11
χ15111111-1-1-1-1111-1-1111-1-1-1-1111-1-1-1-1111111-1-1-111-1-1-1-111-1-11111-1-11-1
χ16111111-1-1-1-1111-1-1111-1-1-1-1111-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1111-1
χ1722222222-2-222222-22222200-2-222-2-222-2-20000-2000000000000000000
χ1822222222-2-2222-2-2-222-2-2-200-2-222-2-2-2-22200002000000000000000000
χ19222222-2-22222222-22222200-2-2-2-222-2-2220000-2000000000000000000
χ20222222-2-222222-2-2-222-2-2-200-2-2-2-22222-2-200002000000000000000000
χ2122-22-22002i−2i-2-222202-22-2-20000002i−2i002i−2i000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000000000
χ2222-22-22002i−2i-2-222202-22-2-20000002i−2i002i−2i00000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000000000
χ2322-22-22002i−2i-2-22-2-202-2-2220000002i−2i00−2i2i000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000000000
χ2422-22-22002i−2i-2-22-2-202-2-2220000002i−2i00−2i2i00000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000000000
χ2522-22-2200−2i2i-2-222202-22-2-2000000−2i2i00−2i2i000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000000000
χ2622-22-2200−2i2i-2-222202-22-2-2000000−2i2i00−2i2i00000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000000000
χ2722-22-2200−2i2i-2-22-2-202-2-222000000−2i2i002i−2i000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000000000
χ2822-22-2200−2i2i-2-22-2-202-2-222000000−2i2i002i−2i00000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000000000
χ2922-2-2222i−2i00-2-22220-22-22-200002i−2i002i−2i0000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i00
χ3022-2-2222i−2i00-2-22220-22-22-200002i−2i002i−2i000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i00
χ3122-2-2222i−2i00-2-22-2-20-222-2200002i−2i00−2i2i0000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i00
χ3222-2-2222i−2i00-2-22-2-20-222-2200002i−2i00−2i2i000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i00
χ3322-2-222−2i2i00-2-22220-22-22-20000−2i2i00−2i2i0000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i00
χ3422-2-222−2i2i00-2-22220-22-22-20000−2i2i00−2i2i000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i00
χ3522-2-222−2i2i00-2-22-2-20-222-220000−2i2i002i−2i0000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i00
χ3622-2-222−2i2i00-2-22-2-20-222-220000−2i2i002i−2i000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i00
χ3744444-14444-1-1-1004-1-100044-1-1-1-1-1-10000-1-1-1-10000000000000000000
χ3844444-14444-1-1-1004-1-1000-4-4-1-1-1-1-1-1000011110000000000000000000
χ3944444-144-4-4-1-1-100-4-1-10000011-1-11100005−55−50000000000000000000
χ4044444-144-4-4-1-1-100-4-1-10000011-1-1110000−55−550000000000000000000
χ4144444-1-4-444-1-1-100-4-1-1000001111-1-100005−5−550000000000000000000
χ4244444-1-4-444-1-1-100-4-1-1000001111-1-10000−555−50000000000000000000
χ4344444-1-4-4-4-4-1-1-1004-1-10004-4-1-11111000011-1-10000000000000000000
χ4444444-1-4-4-4-4-1-1-1004-1-1000-44-1-111110000-1-1110000000000000000000
χ45444-4-440000444440-4-4-4-4400000000000000000000000000000000000
χ46444-4-440000444-4-40-4-444-400000000000000000000000000000000000
χ47888-8-8-20000-2-2-2000220000025−250000000000000000000000000000000
χ48888-8-8-20000-2-2-20002200000−25250000000000000000000000000000000
χ4988-88-8-2008i−8i22-2000-22000000000−2i2i000000000000000000000000000
χ5088-88-8-200−8i8i22-2000-220000000002i−2i000000000000000000000000000
χ5188-8-88-28i−8i0022-20002-20000000−2i2i00000000000000000000000000000
χ5288-8-88-2−8i8i0022-20002-200000002i−2i00000000000000000000000000000
χ538-80008000000-88i−8i00000000000000000000000000000000000000000
χ548-80008000000-8−8i8i00000000000000000000000000000000000000000
χ5516-16000-4000045−4540000000000000000000000000000000000000000000
χ5616-16000-40000−454540000000000000000000000000000000000000000000

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