Finite Group Databasebeta

← Group #11920949

Character table — Group #11920949

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48
size11223344666666881212121212122424323232323232323232323232363636363636363672727272
order12362244444466121244121212121212333666121212121212224444448888
χ1111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ4111111-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ51-11-1-11i−i1-11-1-11i−ii−i11-1-1i−i111-1-1-1iii−i−i−i1-1i−ii−i1-11-1i−i
χ61-11-1-11i−i1-11-1-11i−ii−i11-1-1i−i111-1-1-1iii−i−i−i-11−ii−ii-11-11−ii
χ71-11-1-11−ii1-11-1-11−ii−ii11-1-1−ii111-1-1-1−i−i−iiii1-1−ii−ii1-11-1−ii
χ81-11-1-11−ii1-11-1-11−ii−ii11-1-1−ii111-1-1-1−i−i−iiii-11i−ii−i-11-11i−i
χ9222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ10222222-2-2222222-2-2-2-22222-2-2-1-1-1-1-1-1111111000000000000
χ1122-1-122222222-1-1-1-122-1-1-1-1-1-12-1-12-1-12-1-12-1-1000000000000
χ1222-1-122222222-1-1-1-122-1-1-1-1-1-1-12-1-12-1-12-1-12-1000000000000
χ1322-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12-1-12-1-12-1-12000000000000
χ1422-1-122-2-22222-1-111-2-2-1-1-1-1112-1-12-1-1-211-211000000000000
χ1522-1-122-2-22222-1-111-2-2-1-1-1-111-12-1-12-11-211-21000000000000
χ1622-1-122-2-22222-1-111-2-2-1-1-1-111-1-12-1-1211-211-2000000000000
χ172-22-2-222i−2i2-22-2-222i−2i2i−2i22-2-22i−2i-1-1-1111−i−i−iiii000000000000
χ182-22-2-22−2i2i2-22-2-22−2i2i−2i2i22-2-2−2i2i-1-1-1111iii−i−i−i000000000000
χ192-2-11-222i−2i2-22-21-1−ii2i−2i-1-111−ii2-1-1-2112i−i−i−2iii000000000000
χ202-2-11-222i−2i2-22-21-1−ii2i−2i-1-111−ii-12-11-21−i2i−ii−2ii000000000000
χ212-2-11-222i−2i2-22-21-1−ii2i−2i-1-111−ii-1-1211-2−i−i2iii−2i000000000000
χ222-2-11-22−2i2i2-22-21-1i−i−2i2i-1-111i−i2-1-1-211−2iii2i−i−i000000000000
χ232-2-11-22−2i2i2-22-21-1i−i−2i2i-1-111i−i-12-11-21i−2ii−i2i−i000000000000
χ242-2-11-22−2i2i2-22-21-1i−i−2i2i-1-111i−i-1-1211-2ii−2i−i−i2i000000000000
χ2533333333-1-1-1-13333-1-1-1-1-1-1-1-100000000000011111111-1-1-1-1
χ2633333333-1-1-1-13333-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-11111
χ27333333-3-3-1-1-1-133-3-311-1-1-1-11100000000000011-1-1-1-111-1-111
χ28333333-3-3-1-1-1-133-3-311-1-1-1-111000000000000-1-11111-1-111-1-1
χ293-33-3-333i−3i-11-11-333i−3i−ii-1-111−ii0000000000001-1i−ii−i1-1-11−ii
χ303-33-3-333i−3i-11-11-333i−3i−ii-1-111−ii000000000000-11−ii−ii-111-1i−i
χ313-33-3-33−3i3i-11-11-33−3i3ii−i-1-111i−i0000000000001-1−ii−ii1-1-11i−i
χ323-33-3-33−3i3i-11-11-33−3i3ii−i-1-111i−i000000000000-11i−ii−i-111-1−ii
χ336666-2-2002-2-22-2-200002-22-200000000000000220000-2-20000
χ346666-2-2002-2-22-2-200002-22-200000000000000-2-20000220000
χ356666-2-200-222-2-2-20000-22-22000000000000000022-2-2000000
χ366666-2-200-222-2-2-20000-22-220000000000000000-2-222000000
χ3766-3-36666-2-2-2-2-3-3-3-3-2-2111111000000000000000000000000
χ3866-3-366-6-6-2-2-2-2-3-333221111-1-1000000000000000000000000
χ396-66-62-20022-2-22-200002-2-22000000000000002-20000-220000
χ406-66-62-20022-2-22-200002-2-2200000000000000-2200002-20000
χ416-66-62-200-2-2222-20000-222-200000000000000002i−2i−2i2i000000
χ426-66-62-200-2-2222-20000-222-20000000000000000−2i2i2i−2i000000
χ436-6-33-666i−6i-22-223-3−3i3i−2i2i11-1-1i−i000000000000000000000000
χ446-6-33-66−6i6i-22-223-33i−3i2i−2i11-1-1−ii000000000000000000000000
χ451212-6-6-4-4004-4-44220000-22-2200000000000000000000000000
χ461212-6-6-4-400-444-42200002-22-200000000000000000000000000
χ4712-12-664-40044-4-4-220000-222-200000000000000000000000000
χ4812-12-664-400-4-444-2200002-2-2200000000000000000000000000

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