Finite Group Databasebeta

← Group #4672

Character table — Group #4672

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11111111222222224444444444444444441212121212121212
order122222223666666644444412121212121212121212121222224444
χ1111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111
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
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
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
χ13222-22-2-2-2222-2-22-2-2002i−2i0000002i2i−2i−2i000000000000
χ14222-22-2-2-2222-2-22-2-200−2i2i000000−2i−2i2i2i000000000000
χ15222-22-2-2-2-1-1-111-111002i−2i00−i3−i3i3i3−i−iii33−3−300000000
χ16222-22-2-2-2-1-1-111-111002i−2i00i3i3−i3−i3−i−iii−3−33300000000
χ17222-22-2-2-2-1-1-111-11100−2i2i00−i3−i3i3i3ii−i−i−3−33300000000
χ18222-22-2-2-2-1-1-111-11100−2i2i00i3i3−i3−i3ii−i−i33−3−300000000
χ1922-22-22-2-222-22-2-22-22i−2i00002i−2i2i−2i0000000000000000
χ2022-22-22-2-222-22-2-22-2−2i2i0000−2i2i−2i2i0000000000000000
χ2122-22-22-2-2-1-11-111-112i−2i0000−ii−ii−i3i3−i3i33−33−300000000
χ2222-22-22-2-2-1-11-111-112i−2i0000−ii−iii3−i3i3−i3−33−3300000000
χ2322-22-22-2-2-1-11-111-11−2i2i0000i−ii−i−i3i3−i3i3−33−3300000000
χ2422-22-22-2-2-1-11-111-11−2i2i0000i−ii−ii3−i3i3−i33−33−300000000
χ2522-2-2-2-22222-2-22-2-2200002-2000000002-2-2200000000
χ2622-2-2-2-22222-2-22-2-220000-2200000000-222-200000000
χ2722-2-2-2-222-1-111-111-100002-23−3−33−333−3-111-100000000
χ2822-2-2-2-222-1-111-111-100002-2−333−33−3−33-111-100000000
χ2922-2-2-2-222-1-111-111-10000-223−3−333−3−331-1-1100000000
χ3022-2-2-2-222-1-111-111-10000-22−333−3−333−31-1-1100000000
χ312-222-2-22-22-2222-2-2-20000000000000000000000002i−2i
χ322-222-2-22-22-2222-2-2-2000000000000000000000000−2i2i
χ332-22-2-22-222-22-2-2-2220000000000000000002-2000000
χ342-22-2-22-222-22-2-2-222000000000000000000-22000000
χ352-2-222-2-222-2-22-22-22000000000000000000002-20000
χ362-2-222-2-222-2-22-22-2200000000000000000000-220000
χ372-2-2-2222-22-2-2-2222-200000000000000000000002-200
χ382-2-2-2222-22-2-2-2222-20000000000000000000000-2200
χ394-444-4-44-4-22-2-2-222200000000000000000000000000
χ404-44-4-44-44-22-2222-2-200000000000000000000000000
χ414-4-444-4-44-222-22-22-200000000000000000000000000
χ424-4-4-4444-4-2222-2-2-2200000000000000000000000000

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