Finite Group Databasebeta

← Group #4671

Character table — Group #4671

Order 192.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size11111111222222224444444444444444441212121212121212
order122222223666666644444412121212121212121212121222222244
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
χ51111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
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
χ132222-2-2-2-22222-2-2-2-20000000000000000000000002i−2i
χ142222-2-2-2-22222-2-2-2-2000000000000000000000000−2i2i
χ1522-2-222-2-222-2-2-222-20000000000000000002-2000000
χ1622-2-222-2-222-2-2-222-2000000000000000000-22000000
χ1722-2-2-2-22222-2-22-2-2200002-20000000022-2-200000000
χ1822-2-2-2-22222-2-22-2-220000-2200000000-2-22200000000
χ1922-2-2-2-222-1-111-111-100002-233−3−333−3−3-1-11100000000
χ2022-2-2-2-222-1-111-111-100002-2−3−333−3−333-1-11100000000
χ2122-2-2-2-222-1-111-111-10000-2233−3−3−3−33311-1-100000000
χ2222-2-2-2-222-1-111-111-10000-22−3−33333−3−311-1-100000000
χ232-22-22-22-22-22-2-22-22000000000000000000002-20000
χ242-22-22-22-22-22-2-22-2200000000000000000000-220000
χ252-22-2-22-222-22-22-22-2002-20000002-22-2000000000000
χ262-22-2-22-222-22-22-22-200-22000000-22-22000000000000
χ272-22-2-22-22-11-11-11-11002-2003−33−3-11-113−33−300000000
χ282-22-2-22-22-11-11-11-11002-200−33−33-11-11−33−3300000000
χ292-22-2-22-22-11-11-11-1100-22003−33−31-11-1−33−3300000000
χ302-22-2-22-22-11-11-11-1100-2200−33−331-11-13−33−300000000
χ312-2-222-2-222-2-2222-2-22-200002-2-220000000000000000
χ322-2-222-2-222-2-2222-2-2-220000-222-20000000000000000
χ332-2-222-2-22-111-1-1-1112-20000-111-13−3−33−333−300000000
χ342-2-222-2-22-111-1-1-1112-20000-111-1−333−33−3−3300000000
χ352-2-222-2-22-111-1-1-111-2200001-1-113−3−333−3−3300000000
χ362-2-222-2-22-111-1-1-111-2200001-1-11−333−3−333−300000000
χ372-2-22-222-22-2-22-2-22200000000000000000000002-200
χ382-2-22-222-22-2-22-2-2220000000000000000000000-2200
χ394444-4-4-4-4-2-2-2-2222200000000000000000000000000
χ4044-4-444-4-4-2-2222-2-2200000000000000000000000000
χ414-44-44-44-4-22-222-22-200000000000000000000000000
χ424-4-44-444-4-222-222-2-200000000000000000000000000

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