Finite Group Databasebeta

← Group #11887326

Character table — Group #11887326

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222244444444888888888888121212121212121212121212181818181818242424242424242424242424242424242424363636363636363636
order1222224444336666666666121212121212121222446666121212124488882444446612121212121212121212244888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-111-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-111-11-1-1-1-1-1-1111111111-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-11-1-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-11-1-1111-1-1-1-11111-1-1-1-1111-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1111-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-111-1-111111111-1-1-1-11-1-111-1-1
χ91111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111111111111111-11-1-1-11-1-111-1-111-1-1-1-1-11-111-1-1-1-1
χ101111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1111-1-1-1-111-1-1-1-11111-11-1-1-11111
χ111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-11-1-1-11111
χ121111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111-111-1-111-1-11111-11-111-1-1-1-1
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-11-11-1-1-1-1-111-1-111-1-11-1-1-1-1-1-111
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-11111-1-1111-1-11111-1-1
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1111-1-1-11111-1-1-1-111-1-11-1-11111-1-1
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-111-1-1111-1-1-1-1-1-111
χ17222222222222222222222222222222000000000000-2-20000000000000000000000-2-2-2000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000-2-2000000000000000000000022-2000000
χ192222-2-222-2-222222222-2-2-2-22222-2-2-2-2000000000000-2-200000000000000000000002-22000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000-2-20000000000000000000000-222000000
χ212-22-22-22i−2i2i−2i222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i0000000000000022−2−2000000000000000000000−i2i22−2−i2i2
χ222-22-22-22i−2i2i−2i222-2-2-2-222-22-22i2i−2i−2i2i2i−2i−2i00000000000000−2−222000000000000000000000i2−i2−22i2−i2
χ232-22-22-2−2i2i−2i2i222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i0000000000000022−2−2000000000000000000000i2−i22−2i2−i2
χ242-22-22-2−2i2i−2i2i222-2-2-2-222-22-2−2i−2i2i2i−2i−2i2i2i00000000000000−2−222000000000000000000000−i2i2−22−i2i2
χ252-22-2-222i−2i−2i2i222-2-2-2-22-22-222i2i−2i−2i−2i−2i2i2i0000000000000022−2−2000000000000000000000−i2i2−22i2−i2
χ262-22-2-222i−2i−2i2i222-2-2-2-22-22-222i2i−2i−2i−2i−2i2i2i00000000000000−2−222000000000000000000000i2−i22−2−i2i2
χ272-22-2-22−2i2i2i−2i222-2-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i0000000000000022−2−2000000000000000000000i2−i2−22−i2i2
χ282-22-2-22−2i2i2i−2i222-2-2-2-22-22-22−2i−2i2i2i2i2i−2i−2i00000000000000−2−222000000000000000000000−i2i22−2i2−i2
χ292-2-2200000022-22-22-2-20000000000002-22i−2i22-2-22i2i−2i−2i2-22i−2i2i−2i000000000000000000000000000
χ302-2-2200000022-22-22-2-20000000000002-2−2i2i22-2-2−2i−2i2i2i2-2−2i2i−2i2i000000000000000000000000000
χ312-2-2200000022-22-22-2-2000000000000-222i−2i-2-2222i2i−2i−2i2-2−2i2i−2i2i000000000000000000000000000
χ322-2-2200000022-22-22-2-2000000000000-22−2i2i-2-222−2i−2i2i2i2-22i−2i2i−2i000000000000000000000000000
χ3344444444441-2-211-2-2111-2-21-21-21-21-200220000-1-1-1-1000000002202000000-1-1-1-1-1-1000000000
χ3444444444441-2-211-2-2111-2-21-21-21-21-200-2-20000111100000000-2-20-2000000111111000000000
χ354444444444-211-2-211-2-2-211-21-21-21-212200-1-1-1-10000000000220020-1-1-1-1-1-1000000000000000
χ364444444444-211-2-211-2-2-211-21-21-21-21-2-20011110000000000-2-200-20111111000000000000000
χ37444444-4-4-4-41-2-211-2-2111-2-2-12-12-12-1200220000-1-1-1-100000000-220-20000001111-1-1000000000
χ38444444-4-4-4-41-2-211-2-2111-2-2-12-12-12-1200-2-200001111000000002-202000000-1-1-1-111000000000
χ39444444-4-4-4-4-211-2-211-2-2-2112-12-12-12-12200-1-1-1-100000000002-200-20-1-11111000000000000000
χ40444444-4-4-4-4-211-2-211-2-2-2112-12-12-12-1-2-20011110000000000-22002011-1-1-1-1000000000000000
χ414444-4-444-4-41-2-211-2-21-1-1221-21-2-12-1200220000-1-1-1-100000000-2-202000000-1-11111000000000
χ424444-4-444-4-41-2-211-2-21-1-1221-21-2-12-1200-2-20000111100000000220-200000011-1-1-1-1000000000
χ434444-4-444-4-4-211-2-211-222-1-1-21-212-12-12200-1-1-1-10000000000-2200-2011-1-111000000000000000
χ444444-4-444-4-4-211-2-211-222-1-1-21-212-12-1-2-200111100000000002-20020-1-111-1-1000000000000000
χ454444-4-4-4-4441-2-211-2-21-1-122-12-121-21-200220000-1-1-1-1000000002-20-200000011-1-111000000000
χ464444-4-4-4-4441-2-211-2-21-1-122-12-121-21-200-2-20000111100000000-2202000000-1-111-1-1000000000
χ474444-4-4-4-444-211-2-211-222-1-12-12-1-21-212200-1-1-1-10000000000-2-200201111-1-1000000000000000
χ484444-4-4-4-444-211-2-211-222-1-12-12-1-21-21-2-200111100000000002200-20-1-1-1-111000000000000000
χ4944-4-400000044-4-44-44-400000000000000000000000000−2i22i22i2−2i2000000000000000000000000000
χ5044-4-400000044-4-44-44-4000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000
χ514-44-44-44i−4i4i−4i1-2-2-1-12211-1-22i−2i−i2ii−2i−i2i00000000−i3i3−i3i30000000000000000003−33−3−i3i3000000000
χ524-44-44-44i−4i4i−4i1-2-2-1-12211-1-22i−2i−i2ii−2i−i2i00000000i3−i3i3−i3000000000000000000−33−33i3−i3000000000
χ534-44-44-44i−4i4i−4i-21122-1-1-2-221-1−2ii2i−i−2ii2i−i0000−i3i3−i3i30000000000000000−i3i33−33−3000000000000000
χ544-44-44-44i−4i4i−4i-21122-1-1-2-221-1−2ii2i−i−2ii2i−i0000i3−i3i3−i30000000000000000i3−i3−33−33000000000000000
χ554-44-44-4−4i4i−4i4i1-2-2-1-12211-1-22−i2ii−2i−i2ii−2i00000000−i3i3−i3i3000000000000000000−33−33−i3i3000000000
χ564-44-44-4−4i4i−4i4i1-2-2-1-12211-1-22−i2ii−2i−i2ii−2i00000000i3−i3i3−i30000000000000000003−33−3i3−i3000000000
χ574-44-44-4−4i4i−4i4i-21122-1-1-2-221-12i−i−2ii2i−i−2ii0000−i3i3−i3i30000000000000000−i3i3−33−33000000000000000
χ584-44-44-4−4i4i−4i4i-21122-1-1-2-221-12i−i−2ii2i−i−2ii0000i3−i3i3−i30000000000000000i3−i33−33−3000000000000000
χ594-44-4-444i−4i−4i4i1-2-2-1-1221-112-2i−2i−i2i−i2ii−2i00000000−i3i3−i3i30000000000000000003−3−33i3−i3000000000
χ604-44-4-444i−4i−4i4i1-2-2-1-1221-112-2i−2i−i2i−i2ii−2i00000000i3−i3i3−i3000000000000000000−333−3−i3i3000000000
χ614-44-4-444i−4i−4i4i-21122-1-1-22-2-11−2ii2i−i2i−i−2ii0000−i3i3−i3i30000000000000000i3−i33−3−33000000000000000
χ624-44-4-444i−4i−4i4i-21122-1-1-22-2-11−2ii2i−i2i−i−2ii0000i3−i3i3−i30000000000000000−i3i3−333−3000000000000000
χ634-44-4-44−4i4i4i−4i1-2-2-1-1221-112-2−i2ii−2ii−2i−i2i00000000−i3i3−i3i3000000000000000000−333−3i3−i3000000000
χ644-44-4-44−4i4i4i−4i1-2-2-1-1221-112-2−i2ii−2ii−2i−i2i00000000i3−i3i3−i30000000000000000003−3−33−i3i3000000000
χ654-44-4-44−4i4i4i−4i-21122-1-1-22-2-112i−i−2ii−2ii2i−i0000−i3i3−i3i30000000000000000i3−i3−333−3000000000000000
χ664-44-4-44−4i4i4i−4i-21122-1-1-22-2-112i−i−2ii−2ii2i−i0000i3−i3i3−i30000000000000000−i3i33−3−33000000000000000
χ674-4-4400000044-44-44-4-4000000000000000000000000-440000000000000000000000000000000
χ6888-8-80000002-44-224-4-20000000000000000000023−23−2323000000000000000000000000000000000
χ6988-8-80000002-44-224-4-200000000000000000000−232323−23000000000000000000000000000000000
χ7088-8-8000000-42-24-4-2240000000000000000−2i32i32i3−2i30000000000000000000000000000000000000
χ7188-8-8000000-42-24-4-22400000000000000002i3−2i3−2i32i30000000000000000000000000000000000000
χ728-8-880000002-442-2-44-2000000000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000
χ738-8-880000002-442-2-44-200000000000000−4i4i00002i2i−2i−2i000000000000000000000000000000000
χ748-8-88000000-42-2-442-240000000000004-400-2-2220000000000000000000000000000000000000
χ758-8-88000000-42-2-442-24000000000000-440022-2-20000000000000000000000000000000000000

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