Finite Group Databasebeta

← Group #11887582

Character table — Group #11887582

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222244444444888888888888121212121212121212121212181818181818242424242424242424242424242424242424363636363636363636
order1222222244336666666666666612121212444412121212121212124488882444446612121212121212121212444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-111-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1111111-1-1-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-1111-1-1-1-1-1-1
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
χ5111111-1-1-1-11111111111-1-111-1-1-1-1-1-1111111111111111111-1-11-11-1-1-1-1-111-1-111-1-1-11-1-1-111-1-1
χ6111111-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-111-1-11-1-111-1-11111-1-1-11-111-1-111
χ7111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-1-111-111-1-111-1-1-1-111-11-111-1-111
χ8111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111111-1-111-1-111-11-1-1-111-1-1
χ91111-1-111-1-111111111-1-111-1-111-1-1-1-1111111111111111111-1-1-11-11-1-1-1-1-1-111-1-111-1-11-1-1-1-111
χ101111-1-111-1-111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-111111-1-1
χ111111-1-111-1-111111111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1-1111-1-1-1-11111-1-1-1-111111-1-1
χ121111-1-111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1111111-1-111-1-1-1-11-1-1-1-111
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11-1-1-11111-1-11111-1-1-1-11-1-1-1-11111
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-1-1111-1-1-1-111-1-1-1-111111-1-1-1-11111
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111111111-1-111-1-1-1-1
χ17222222222222222222222222222222000000000000-2-20000000000000000000000-2-2-2000000
χ18222222-2-2-2-22222222222-2-222-2-2-2-2-2-2000000000000-2-200000000000000000000002-22000000
χ192222-2-222-2-222222222-2-222-2-222-2-2-2-2000000000000-2-2000000000000000000000022-2000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000-2-20000000000000000000000-222000000
χ212-22-22-22-22-222-2-22-2-222-22-22-22-22-22-200000000000000−i2−i2i2i2000000000000000000000−i2i2−i2i2−i2i2
χ222-22-22-22-22-222-2-22-2-222-22-22-22-22-22-200000000000000i2i2−i2−i2000000000000000000000i2−i2i2−i2i2−i2
χ232-22-22-2-22-2222-2-22-2-222-2-222-2-22-22-2200000000000000−i2−i2i2i2000000000000000000000i2−i2−i2i2i2−i2
χ242-22-22-2-22-2222-2-22-2-222-2-222-2-22-22-2200000000000000i2i2−i2−i2000000000000000000000−i2i2i2−i2−i2i2
χ252-22-2-222-2-2222-2-22-2-22-222-2-222-2-22-2200000000000000−i2−i2i2i2000000000000000000000i2−i2i2−i2−i2i2
χ262-22-2-222-2-2222-2-22-2-22-222-2-222-2-22-2200000000000000i2i2−i2−i2000000000000000000000−i2i2−i2i2i2−i2
χ272-22-2-22-222-222-2-22-2-22-22-22-22-222-22-200000000000000−i2−i2i2i2000000000000000000000−i2i2i2−i2i2−i2
χ282-22-2-22-222-222-2-22-2-22-22-22-22-222-22-200000000000000i2i2−i2−i2000000000000000000000i2−i2−i2i2−i2i2
χ292-2-22000000222-2-2-22-20000000000002i−2i2-222-2-22i2i−2i−2i2-22i−2i2i−2i000000000000000000000000000
χ302-2-22000000222-2-2-22-20000000000002i−2i-22-2-2222i2i−2i−2i2-2−2i2i−2i2i000000000000000000000000000
χ312-2-22000000222-2-2-22-2000000000000−2i2i2-222-2-2−2i−2i2i2i2-2−2i2i−2i2i000000000000000000000000000
χ322-2-22000000222-2-2-22-2000000000000−2i2i-22-2-222−2i−2i2i2i2-22i−2i2i−2i000000000000000000000000000
χ3344444444441-2-2-2111-21111-2-2-2-211-2-20022-1-1-1-1000000000002002200-1-1-1-1-1-10000000000000
χ3444444444441-2-2-2111-21111-2-2-2-211-2-200-2-2111100000000000-200-2-2001111110000000000000
χ354444444444-2111-2-2-21-2-2-2-21111-2-21122000000-1-1-1-1000000202200-1-1000000-1-1-1-1000000000
χ364444444444-2111-2-2-21-2-2-2-21111-2-211-2-20000001111000000-20-2-200110000001111000000000
χ37444444-4-4-4-41-2-2-2111-211-1-1-2-222-1-1220022-1-1-1-100000000000-2002-20011-1-1110000000000000
χ38444444-4-4-4-41-2-2-2111-211-1-1-2-222-1-12200-2-2111100000000000200-2200-1-111-1-10000000000000
χ39444444-4-4-4-4-2111-2-2-21-2-22211-1-122-1-122000000-1-1-1-1000000-202-20011000000-1-111000000000
χ40444444-4-4-4-4-2111-2-2-21-2-22211-1-122-1-1-2-2000000111100000020-2200-1-100000011-1-1000000000
χ414444-4-444-4-41-2-2-2111-2-1-11122-2-2-1-1220022-1-1-1-100000000000-200-22001111-1-10000000000000
χ424444-4-444-4-41-2-2-2111-2-1-11122-2-2-1-12200-2-21111000000000002002-200-1-1-1-1110000000000000
χ434444-4-444-4-4-2111-2-2-2122-2-2-1-11122-1-122000000-1-1-1-1000000-20-22001100000011-1-1000000000
χ444444-4-444-4-4-2111-2-2-2122-2-2-1-11122-1-1-2-20000001111000000202-200-1-1000000-1-111000000000
χ454444-4-4-4-4441-2-2-2111-2-1-1-1-1222211-2-20022-1-1-1-100000000000200-2-200-1-111110000000000000
χ464444-4-4-4-4441-2-2-2111-2-1-1-1-1222211-2-200-2-2111100000000000-200220011-1-1-1-10000000000000
χ474444-4-4-4-444-2111-2-2-212222-1-1-1-1-2-21122000000-1-1-1-100000020-2-200-1-10000001111000000000
χ484444-4-4-4-444-2111-2-2-212222-1-1-1-1-2-211-2-20000001111000000-20220011000000-1-1-1-1000000000
χ4944-4-400000044-44-44-4-40000000000000000000000000022−22−2222000000000000000000000000000
χ5044-4-400000044-44-44-4-400000000000000000000000000−222222−22000000000000000000000000000
χ514-44-44-44-44-41-2221-1-1-21-11-1-22-221-1-2200003−33−30000000000000000003−33−33−30000000000000
χ524-44-44-44-44-41-2221-1-1-21-11-1-22-221-1-220000−33−33000000000000000000−33−33−330000000000000
χ534-44-44-44-44-4-21-1-1-2221-22-221-11-1-221-100000000−i3i3−i3i3000000000000−i3i3000000−i3i3−i3i3000000000
χ544-44-44-44-44-4-21-1-1-2221-22-221-11-1-221-100000000i3−i3i3−i3000000000000i3−i3000000i3−i3i3−i3000000000
χ554-44-44-4-44-441-2221-1-1-21-1-11-222-2-112-200003−33−3000000000000000000−333−3−330000000000000
χ564-44-44-4-44-441-2221-1-1-21-1-11-222-2-112-20000−33−330000000000000000003−3−333−30000000000000
χ574-44-44-4-44-44-21-1-1-2221-222-21-1-112-2-1100000000−i3i3−i3i3000000000000i3−i3000000−i3i3i3−i3000000000
χ584-44-44-4-44-44-21-1-1-2221-222-21-1-112-2-1100000000i3−i3i3−i3000000000000−i3i3000000i3−i3−i3i3000000000
χ594-44-4-444-4-441-2221-1-1-2-111-12-2-22-112-200003−33−3000000000000000000−33−333−30000000000000
χ604-44-4-444-4-441-2221-1-1-2-111-12-2-22-112-20000−33−330000000000000000003−33−3−330000000000000
χ614-44-4-444-4-44-21-1-1-22212-2-22-111-12-2-1100000000−i3i3−i3i3000000000000i3−i3000000i3−i3−i3i3000000000
χ624-44-4-444-4-44-21-1-1-22212-2-22-111-12-2-1100000000i3−i3i3−i3000000000000−i3i3000000−i3i3i3−i3000000000
χ634-44-4-44-444-41-2221-1-1-2-11-112-22-21-1-2200003−33−30000000000000000003−3−33−330000000000000
χ644-44-4-44-444-41-2221-1-1-2-11-112-22-21-1-220000−33−33000000000000000000−333−33−30000000000000
χ654-44-4-44-444-4-21-1-1-22212-22-2-11-11-221-100000000−i3i3−i3i3000000000000−i3i3000000i3−i3i3−i3000000000
χ664-44-4-44-444-4-21-1-1-22212-22-2-11-11-221-100000000i3−i3i3−i3000000000000i3−i3000000−i3i3−i3i3000000000
χ674-4-44000000444-4-4-44-4000000000000000000000000-440000000000000000000000000000000
χ6888-8-80000002-44-4-22-24000000000000000023−23−23230000000000000000000000000000000000000
χ6988-8-80000002-44-4-22-240000000000000000−232323−230000000000000000000000000000000000000
χ7088-8-8000000-42-224-44-20000000000000000000023−23−2323000000000000000000000000000000000
χ7188-8-8000000-42-224-44-200000000000000000000−232323−23000000000000000000000000000000000
χ728-8-880000002-4-44-2-224000000000000004-4-2-2220000000000000000000000000000000000000
χ738-8-880000002-4-44-2-22400000000000000-4422-2-20000000000000000000000000000000000000
χ748-8-88000000-422-244-4-20000000000004i−4i000000−2i−2i2i2i000000000000000000000000000000000
χ758-8-88000000-422-244-4-2000000000000−4i4i0000002i2i−2i−2i000000000000000000000000000000000

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