Finite Group Databasebeta

← Group #11790810

Character table — Group #11790810

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size11112244444444448888888888888899991616161616161616181836363636363636363636727272727272
order122244334466666622121212121212121212121212444466666666224444444444448888
χ1111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1ii−i−i
χ4111111111111111111111111111111-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1−i−iii
χ51111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ61111111111111111-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ911111111-1-11111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-11-11-11-1
χ1011111111-1-11111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-1-11-11
χ1111111111-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-11i−i−ii
χ1211111111-1-11111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-11−iii−i
χ1311111111-1-1111111-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11-11-11
χ1411111111-1-1111111-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-111-11-1
χ1511111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii1-1−iii−i
χ1611111111-1-1111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i1-1i−i−ii
χ172222-2-2222-222222200-2-2-2-22222-2-2-2-2222200000000-2-22-200000000000000
χ182222-2-2222-222222200-2-2-2-22222-2-2-2-2-2-2-2-20000000022-2200000000000000
χ192222-2-222-2222222200-2-2-2-2-2-2-2-22222222200000000-2-2-2200000000000000
χ202222-2-222-2222222200-2-2-2-2-2-2-2-22222-2-2-2-200000000222-200000000000000
χ212-2-222-2220022-2-2-2-20022-2-20000000022-2-2000000002-200002i−2i002i−2i000000
χ222-2-222-2220022-2-2-2-20022-2-20000000022-2-2000000002-20000−2i2i00−2i2i000000
χ232-2-222-2220022-2-2-2-20022-2-200000000-2-22200000000-2200002-200-22000000
χ242-2-222-2220022-2-2-2-20022-2-200000000-2-22200000000-220000-22002-2000000
χ252-2-22-22220022-2-2-2-200-2-2220000000022-2-200000000-22002i−2i002i−2i00000000
χ262-2-22-22220022-2-2-2-200-2-2220000000022-2-200000000-2200−2i2i00−2i2i00000000
χ272-2-22-22220022-2-2-2-200-2-22200000000-2-222000000002-2002-200-2200000000
χ282-2-22-22220022-2-2-2-200-2-22200000000-2-222000000002-200-22002-200000000
χ294444441-2441-211-2-2441-21-211-2-211-2-2000011-2-211-2-2000000000000000000
χ304444441-2441-211-2-2-4-41-21-211-2-211-2-20000-1-122-1-122000000000000000000
χ314444441-2-4-41-211-2-24-41-21-2-1-122-1-122000011-2-2-1-122000000000000000000
χ324444441-2-4-41-211-2-2-441-21-2-1-122-1-1220000-1-12211-2-2000000000000000000
χ33444444-2144-21-2-21144-21-21-2-211-2-2110000-2-211-2-211000000000000000000
χ34444444-2144-21-2-211-4-4-21-21-2-211-2-211000022-1-122-1-1000000000000000000
χ35444444-21-4-4-21-2-2114-4-21-2122-1-122-1-10000-2-21122-1-1000000000000000000
χ36444444-21-4-4-21-2-211-44-21-2122-1-122-1-1000022-1-1-2-211000000000000000000
χ374444-4-41-24-41-211-2-200-12-1211-2-2-1-12200003-3003-300000000000000000000
χ384444-4-41-24-41-211-2-200-12-1211-2-2-1-1220000-3300-3300000000000000000000
χ394444-4-41-2-441-211-2-200-12-12-1-12211-2-200003-300-3300000000000000000000
χ404444-4-41-2-441-211-2-200-12-12-1-12211-2-20000-33003-300000000000000000000
χ414444-4-4-214-4-21-2-211002-12-1-2-21122-1-10000003-3003-3000000000000000000
χ424444-4-4-214-4-21-2-211002-12-1-2-21122-1-1000000-3300-33000000000000000000
χ434444-4-4-21-44-21-2-211002-12-122-1-1-2-2110000003-300-33000000000000000000
χ444444-4-4-21-44-21-2-211002-12-122-1-1-2-211000000-33003-3000000000000000000
χ4544-4-4004400-4-44-44-4000000000000004i−4i4i−4i00000000000000000000000000
χ4644-4-4004400-4-44-44-400000000000000−4i4i−4i4i00000000000000000000000000
χ474-44-4004400-4-4-44-44000000000000004i−4i−4i4i00000000000000000000000000
χ484-44-4004400-4-4-44-4400000000000000−4i4i4i−4i00000000000000000000000000
χ4988-8-8002-400-242-2-440000006-6000000000000000000000000000000000000
χ5088-8-8002-400-242-2-44000000-66000000000000000000000000000000000000
χ5188-8-800-42004-2-442-2000000006-60000000000000000000000000000000000
χ5288-8-800-42004-2-442-200000000-660000000000000000000000000000000000
χ538-88-8002-400-24-224-400000000006-600000000000000000000000000000000
χ548-88-8002-400-24-224-40000000000-6600000000000000000000000000000000
χ558-88-800-42004-24-4-220000000000006-6000000000000000000000000000000
χ568-88-800-42004-24-4-22000000000000-66000000000000000000000000000000
χ578-8-888-82-4002-4-2-244002-4-2400000000000000000000000000000000000000
χ588-8-888-8-4200-4244-2-200-424-200000000000000000000000000000000000000
χ598-8-88-882-4002-4-2-24400-242-400000000000000000000000000000000000000
χ608-8-88-88-4200-4244-2-2004-2-4200000000000000000000000000000000000000

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