Finite Group Databasebeta

← Group #63839

Character table — Group #63839

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42
size1111222222224444444444444666612121212121212121212181836
order1222336666663466612121212121212124444441212121212121212444
χ1111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-11111-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-11-1-1-1-11111-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111-1111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1
χ61111111111111-1111-1-1-1-1-1-1-1-111-1-1-1111-1-1-1-111-1-11
χ71111111111111-1111-1-1-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-11
χ81111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1
χ922222-122-1-1-12-12-1-1-1-1-122-1-1-1-1220020-1-1-1-10000000
χ1022222-122-1-1-12-12-1-1-1-1-122-1-1-1-1-2-200-2011110000000
χ1122222-122-1-1-12-1-2-1-1-111-2-211112200-20-1-1110000000
χ1222222-122-1-1-12-1-2-1-1-111-2-21111-2-2002011-1-10000000
χ132222-12-1-1222-1-12-1-1-122-1-1-1-1-1-10022020000-1-1-1-1000
χ142222-12-1-1222-1-12-1-1-122-1-1-1-1-1-100-2-20-200001111000
χ152222-12-1-1222-1-1-2-1-1-1-2-211111100220-20000-1-111000
χ162222-12-1-1222-1-1-2-1-1-1-2-211111100-2-202000011-1-1000
χ1722-2-2222-2-22-2-2202-2-2000000002-200002-2000000000
χ1822-2-2222-2-22-2-2202-2-200000000-220000-22000000000
χ1922-2-22-12-21-11-2-10-1113−30033−3−32-20000-113−30000000
χ2022-2-22-12-21-11-2-10-1113−30033−3−3-2200001-1−330000000
χ2122-2-22-12-21-11-2-10-111−3300−3−3332-20000-11−330000000
χ2222-2-22-12-21-11-2-10-111−3300−3−333-2200001-13−30000000
χ232-22-222-222-2-2-220-22-200000000000000000000002-20
χ242-22-222-222-2-2-220-22-20000000000000000000000-220
χ252-2-2222-2-2-2-22220-2-2200000000002-20000002-200000
χ262-2-2222-2-2-2-22220-2-220000000000-22000000-2200000
χ272-2-22-1211-2-22-1-1011-100−i3i3−i3i3−i3i3002-2000000-11−i3i3000
χ282-2-22-1211-2-22-1-1011-100−i3i3−i3i3−i3i300-220000001-1i3−i3000
χ292-2-22-1211-2-22-1-1011-100i3−i3i3−i3i3−i3002-2000000-11i3−i3000
χ302-2-22-1211-2-22-1-1011-100i3−i3i3−i3i3−i300-220000001-1−i3i3000
χ314444-2-2-2-2-2-2-2-214111-2-2-2-2111100000000000000000
χ324444-2-2-2-2-2-2-2-21-41112222-1-1-1-100000000000000000
χ3344-4-4-24-22-44-42-20-2220000000000000000000000000
χ3444-4-4-2-2-222-222101-1-123−2300−3−33300000000000000000
χ3544-4-4-2-2-222-222101-1-1−23230033−3−300000000000000000
χ364-44-44-2-44-222-4-202-220000000000000000000000000
χ374-44-4-242-24-4-42-202-220000000000000000000000000
χ384-44-4-2-22-2-222210-11-100003i−3i−3i3i00000000000000000
χ394-44-4-2-22-2-222210-11-10000−3i3i3i−3i00000000000000000
χ404-4-444-2-4-422-24-2022-20000000000000000000000000
χ414-4-44-2-22222-2-210-1-1100−2i32i3i3−i3i3−i300000000000000000
χ424-4-44-2-22222-2-210-1-11002i3−2i3−i3i3−i3i300000000000000000

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