Finite Group Databasebeta

← Group #4675

Character table — Group #4675

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11111111222222224444444444444444441212121212121212
order122222223666666644444412121212121212121212121222444444
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
χ1122222222-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1111100000000
χ1222222222-1-1-1-1-1-1-1-1-2-2-2-22211111111-1-1-1-100000000
χ13222-2-2-2-22222-2-22-2-22i−2i00002i2i−2i−2i0000000000000000
χ14222-2-2-2-22222-2-22-2-2−2i2i0000−2i−2i2i2i0000000000000000
χ15222-2-2-2-22-1-1-111-1112i−2i0000−i−iii33−3−3−i3−i3i3i300000000
χ16222-2-2-2-22-1-1-111-1112i−2i0000−i−iii−3−333i3i3−i3−i300000000
χ17222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i33−3−3i3i3−i3−i300000000
χ18222-2-2-2-22-1-1-111-111−2i2i0000ii−i−i−3−333−i3−i3i3i300000000
χ1922-222-2-2-222-2-2-2-22200000000000000000000002i−2i00
χ2022-222-2-2-222-2-2-2-2220000000000000000000000−2i2i00
χ2122-2-2-222-222-222-2-2-20000000000000000000000002i−2i
χ2222-2-2-222-222-222-2-2-2000000000000000000000000−2i2i
χ232-222-22-2-22-222-2-22-2002i−2i0000002i−2i2i−2i000000000000
χ242-222-22-2-22-222-2-22-200−2i2i000000−2i2i−2i2i000000000000
χ252-222-22-2-2-11-1-111-11002i−2i00−i3i3−i3i3−ii−ii3−33−300000000
χ262-222-22-2-2-11-1-111-11002i−2i00i3−i3i3−i3−ii−ii−33−3300000000
χ272-222-22-2-2-11-1-111-1100−2i2i00−i3i3−i3i3i−ii−i−33−3300000000
χ282-222-22-2-2-11-1-111-1100−2i2i00i3−i3i3−i3i−ii−i3−33−300000000
χ292-22-22-22-22-22-22-2-2200002i−2i000000002i−2i−2i2i00000000
χ302-22-22-22-22-22-22-2-220000−2i2i00000000−2i2i2i−2i00000000
χ312-22-22-22-2-11-11-111-100002i−2i3−3−33i3−i3−i3i3−iii−i00000000
χ322-22-22-22-2-11-11-111-100002i−2i−333−3−i3i3i3−i3−iii−i00000000
χ332-22-22-22-2-11-11-111-10000−2i2i3−3−33−i3i3i3−i3i−i−ii00000000
χ342-22-22-22-2-11-11-111-10000−2i2i−333−3i3−i3−i3i3i−i−ii00000000
χ352-2-22-2-2222-2-2-2222-2000000000000000000002-20000
χ362-2-22-2-2222-2-2-2222-200000000000000000000-220000
χ372-2-2-222-222-2-22-22-220000000000000000002-2000000
χ382-2-2-222-222-2-22-22-22000000000000000000-22000000
χ3944-444-4-4-4-2-22222-2-200000000000000000000000000
χ4044-4-4-444-4-2-22-2-222200000000000000000000000000
χ414-4-44-4-444-2222-2-2-2200000000000000000000000000
χ424-4-4-444-44-222-22-22-200000000000000000000000000

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