Finite Group Databasebeta

← Group #4960

Character table — Group #4960

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11111111222222224444444444444444441212121212121212
order12222222366666662244446666121212121212121222224444
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
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1022222222-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-11111111100000000
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
χ132222-2-2-2-22222-2-2-2-200002i−2i000000002i2i−2i−2i00000000
χ142222-2-2-2-22222-2-2-2-20000−2i2i00000000−2i−2i2i2i00000000
χ152222-2-2-2-2-1-1-1-1111100002i−2i−i3−i3i3i333−3−3−i−iii00000000
χ162222-2-2-2-2-1-1-1-1111100002i−2ii3i3−i3−i3−3−333−i−iii00000000
χ172222-2-2-2-2-1-1-1-111110000−2i2i−i3−i3i3i3−3−333ii−i−i00000000
χ182222-2-2-2-2-1-1-1-111110000−2i2ii3i3−i3−i333−3−3ii−i−i00000000
χ1922-2-222-2-222-2-2-2-222002-20000002-22-2000000000000
χ2022-2-222-2-222-2-2-2-22200-22000000-22-22000000000000
χ2122-2-222-2-2-1-11111-1-1002-200−i3i3−i3i3-11-11−i3i3−i3i300000000
χ2222-2-222-2-2-1-11111-1-1002-200i3−i3i3−i3-11-11i3−i3i3−i300000000
χ2322-2-222-2-2-1-11111-1-100-2200−i3i3−i3i31-11-1i3−i3i3−i300000000
χ2422-2-222-2-2-1-11111-1-100-2200i3−i3i3−i31-11-1−i3i3−i3i300000000
χ2522-2-2-2-22222-2-222-2-22-200002-2-220000000000000000
χ2622-2-2-2-22222-2-222-2-2-220000-222-20000000000000000
χ2722-2-2-2-222-1-111-1-1112-20000-111-13−3−333−3−3300000000
χ2822-2-2-2-222-1-111-1-1112-20000-111-1−333−3−333−300000000
χ2922-2-2-2-222-1-111-1-111-2200001-1-113−3−33−333−300000000
χ3022-2-2-2-222-1-111-1-111-2200001-1-11−333−33−3−3300000000
χ312-22-22-22-22-22-22-22-2000000000000000000002-20000
χ322-22-22-22-22-22-22-22-200000000000000000000-220000
χ332-22-2-22-222-22-2-22-2200000000000000000000002-200
χ342-22-2-22-222-22-2-22-220000000000000000000000-2200
χ352-2-222-2-222-2-22-222-20000000000000000002-2000000
χ362-2-222-2-222-2-22-222-2000000000000000000-22000000
χ372-2-22-222-22-2-222-2-220000000000000000000000002-2
χ382-2-22-222-22-2-222-2-22000000000000000000000000-22
χ394-44-44-44-4-22-22-22-2200000000000000000000000000
χ404-44-4-44-44-22-222-22-200000000000000000000000000
χ414-4-444-4-44-222-22-2-2200000000000000000000000000
χ424-4-44-444-4-222-2-222-200000000000000000000000000

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