Finite Group Databasebeta

← Group #10593661

Character table — Group #10593661

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51
size11112222222222668888888888888888888888881212121212363636367272
order122234466612121212443336666666661212121212121212121212122661212888824
χ1111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1
χ311111-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1
χ411111-1-1111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11
χ52222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222000000
χ622222-2-2222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1111111111111-2-2-222000000
χ72222-122-1-1-1-1-1-1-1222-1-122-1-1-1-12-1-12222-1-1-1-1-1-1-1-12-1-1-1-1000000
χ82222-122-1-1-1-1-1-1-122-12-1-1-122-1-1-12-1-1-1-1-12222-1-1-1-12-1-1-1-1000000
χ92222-122-1-1-1-1-1-1-122-1-12-1-1-1-122-1-12-1-1-1-1-1-1-1-122222-1-1-1-1000000
χ102222-1-2-2-1-1-11111222-1-122-1-1-1-12-1-1-2-2-2-211111111-211-1-1000000
χ112222-1-2-2-1-1-1111122-12-1-1-122-1-1-12-11111-2-2-2-21111-211-1-1000000
χ122222-1-2-2-1-1-1111122-1-12-1-1-1-122-1-1211111111-2-2-2-2-211-1-1000000
χ1322-2-222i−2i2-2-22i2i−2i−2i00-1-1-11-11-11-1111ii−i−iii−i−iii−i−i00000−i2i22−200
χ1422-2-222i−2i2-2-22i2i−2i−2i00-1-1-11-11-11-1111ii−i−iii−i−iii−i−i00000i2−i2−2200
χ1522-2-22−2i2i2-2-2−2i−2i2i2i00-1-1-11-11-11-1111−i−iii−i−iii−i−iii00000−i2i2−2200
χ1622-2-22−2i2i2-2-2−2i−2i2i2i00-1-1-11-11-11-1111−i−iii−i−iii−i−iii00000i2−i22−200
χ172-22-2200-2-2200002-2222-2-2-2-2-2-22220000000000000002-2000000
χ182-22-2200-2-2200002-2-1-1-1111111-1-1-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30002-2000000
χ192-22-2200-2-2200002-2-1-1-1111111-1-1-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30002-2000000
χ202-22-2-10011-1−i3i3−i3i32-22-1-1-2-211112-1-10000−i3i3−i3i3i3−i3i3−i30−i3i3-11000000
χ212-22-2-10011-1−i3i3−i3i32-2-12-111-2-211-12-1i3−i3i3−i30000−i3i3−i3i30−i3i3-11000000
χ222-22-2-10011-1−i3i3−i3i32-2-1-121111-2-2-1-12−i3i3−i3i3i3−i3i3−i300000−i3i3-11000000
χ232-22-2-10011-1i3−i3i3−i32-22-1-1-2-211112-1-10000i3−i3i3−i3−i3i3−i3i30i3−i3-11000000
χ242-22-2-10011-1i3−i3i3−i32-2-12-111-2-211-12-1−i3i3−i3i30000i3−i3i3−i30i3−i3-11000000
χ252-22-2-10011-1i3−i3i3−i32-2-1-121111-2-2-1-12i3−i3i3−i3−i3i3−i3i300000i3−i3-11000000
χ2633333333333333-1-1000000000000000000000000-1-1-1-1-11111-1-1
χ2733333333333333-1-1000000000000000000000000-1-1-1-1-1-1-1-1-111
χ2833333-3-3333-3-3-3-3-1-1000000000000000000000000111-1-111-1-1-11
χ2933333-3-3333-3-3-3-3-1-1000000000000000000000000111-1-1-1-1111-1
χ3044-4-444i−4i4-4-44i4i−4i−4i00111-11-11-11-1-1-1−i−iii−i−iii−i−iii00000000000
χ3144-4-44−4i4i4-4-4−4i−4i4i4i00111-11-11-11-1-1-1ii−i−iii−i−iii−i−i00000000000
χ3244-4-4-24i−4i-222−2i−2i2i2i0011-2-11-112-2-1-12−i−iii−i−iii2i2i−2i−2i00000000000
χ3344-4-4-24i−4i-222−2i−2i2i2i001-21-112-2-11-12-1−i−iii2i2i−2i−2i−i−iii00000000000
χ3444-4-4-24i−4i-222−2i−2i2i2i00-2112-2-11-112-1-12i2i−2i−2i−i−iii−i−iii00000000000
χ3544-4-4-2−4i4i-2222i2i−2i−2i0011-2-11-112-2-1-12ii−i−iii−i−i−2i−2i2i2i00000000000
χ3644-4-4-2−4i4i-2222i2i−2i−2i001-21-112-2-11-12-1ii−i−i−2i−2i2i2iii−i−i00000000000
χ3744-4-4-2−4i4i-2222i2i−2i−2i00-2112-2-11-112-1-1−2i−2i2i2iii−i−iii−i−i00000000000
χ384-4-44400-44-40000001111-11-11-1-1-1-13−3−333−3−333−3−3300000000000
χ394-4-44400-44-40000001111-11-11-1-1-1-1−333−3−333−3−333−300000000000
χ404-4-44400-44-4000000-2-2-2-22-22-2222200000000000000000000000
χ414-4-44-2002-2223−23−23230011-21-11-1-22-1-123−3−33−333−3000000000000000
χ424-4-44-2002-2223−23−2323001-211-1-221-1-12-1−333−300003−3−3300000000000
χ434-4-44-2002-2223−23−232300-211-221-11-12-1-100003−3−33−333−300000000000
χ444-4-44-2002-22−232323−230011-21-11-1-22-1-12−333−33−3−33000000000000000
χ454-4-44-2002-22−232323−23001-211-1-221-1-12-13−3−330000−333−300000000000
χ464-4-44-2002-22−232323−2300-211-221-11-12-1-10000−333−33−3−3300000000000
χ476666-366-3-3-3-3-3-3-3-2-2000000000000000000000000-21111000000
χ486666-3-6-6-3-3-33333-2-20000000000000000000000002-1-111000000
χ496-66-6600-6-660000-22000000000000000000000000000-22000000
χ506-66-6-30033-3−3i33i3−3i33i3-220000000000000000000000000i3−i31-1000000
χ516-66-6-30033-33i3−3i33i3−3i3-220000000000000000000000000−i3i31-1000000

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