Finite Group Databasebeta

← Group #4985

Character table — Group #4985

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11111111222222224444444444444444441212121212121212
order122222223666666644444412121212121212121212121244444444
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-1111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-211111111-1-1-1-100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-11111111100000000
χ13222-22-2-2-22222-2-2-2-20000000000000000002-2000000
χ14222-22-2-2-22222-2-2-2-2000000000000000000-22000000
χ1522-22-22-2-222-2-22-2-2200000000000000000000002i−2i00
χ1622-22-22-2-222-2-22-2-220000000000000000000000−2i2i00
χ1722-2-2-2-22222-2-2-222-2002i−2i00000000002i2i−2i−2i00000000
χ1822-2-2-2-22222-2-2-222-200−2i2i0000000000−2i−2i2i2i00000000
χ1922-2-2-2-222-1-1111-1-11002i−2i00−i3−i3i3i333−3−3−i−iii00000000
χ2022-2-2-2-222-1-1111-1-11002i−2i00i3i3−i3−i3−3−333−i−iii00000000
χ2122-2-2-2-222-1-1111-1-1100−2i2i00−i3−i3i3i3−3−333ii−i−i00000000
χ2222-2-2-2-222-1-1111-1-1100−2i2i00i3i3−i3−i333−3−3ii−i−i00000000
χ232-222-2-22-22-22-2-22-22000000000000000000002i−2i0000
χ242-222-2-22-22-22-2-22-2200000000000000000000−2i2i0000
χ252-22-2-22-222-22-22-22-22i−2i000000002i−2i2i−2i000000000000
χ262-22-2-22-222-22-22-22-2−2i2i00000000−2i2i−2i2i000000000000
χ272-22-2-22-22-11-11-11-112i−2i0000−i3i3−i3i3−ii−ii3−33−300000000
χ282-22-2-22-22-11-11-11-112i−2i0000i3−i3i3−i3−ii−ii−33−3300000000
χ292-22-2-22-22-11-11-11-11−2i2i0000−i3i3−i3i3i−ii−i−33−3300000000
χ302-22-2-22-22-11-11-11-11−2i2i0000i3−i3i3−i3i−ii−i3−33−300000000
χ312-2-222-2-222-2-22-2-22200002-22-2-220000000000000000
χ322-2-222-2-222-2-22-2-2220000-22-222-20000000000000000
χ332-2-222-2-22-111-111-1-100002-2-111-1−i3i3i3−i3−i3i3i3−i300000000
χ342-2-222-2-22-111-111-1-100002-2-111-1i3−i3−i3i3i3−i3−i3i300000000
χ352-2-222-2-22-111-111-1-10000-221-1-11−i3i3i3−i3i3−i3−i3i300000000
χ362-2-222-2-22-111-111-1-10000-221-1-11i3−i3−i3i3−i3i3i3−i300000000
χ372-2-2-2222-22-2-2222-2-20000000000000000000000002i−2i
χ382-2-2-2222-22-2-2222-2-2000000000000000000000000−2i2i
χ39444-44-4-4-4-2-2-2-2222200000000000000000000000000
χ4044-44-44-4-4-2-222-222-200000000000000000000000000
χ414-444-4-44-4-22-222-22-200000000000000000000000000
χ424-4-4-4444-4-222-2-2-22200000000000000000000000000

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