Finite Group Databasebeta

← Group #11887684

Character table — Group #11887684

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222244444444888888888888121212121212121212121212181818181818242424242424242424242424242424242424363636363636363636
order122222224433666666666666661212121244441212121212121212448888444444121212121212121212121212444888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111-1-1-1-111-1-1-1-111-11-1-111-1-11111-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-11-111-1-111-1-1-1-11111111-1-1-1-1-1-1
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
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-11-1-1-1-1-111-1-111-1-1-11-1-1-111-1-1
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11-11-1-11-1-11111-1-1-1-111-11-111-1-111
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-11-111-111-1-1-1-11111-1-1-11-111-1-111
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-111111-1-111-1-111-11-1-1-111-1-1
χ91111-1-111-1-111111111-1-1-1-11111-1-1-1-1111111111111111111-11-1-1-11-1-1-1-1-1-111-1-111-1-11-1-1-1-111
χ101111-1-111-1-111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-11-1-1-111-1-11111-1-1-1-111111-1-1
χ111111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11-1-11-1111-1-111-1-1-1-111-1-111111-1-1
χ121111-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111-1111111-1-111-1-1-1-11-1-1-1-111
χ131111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1
χ141111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-111111-1-1-1-1-1-111111-1-1-1-11111
χ151111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-11-1-1-1-11111
χ161111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111111-1-111-1-1-1-1
χ17222222222222222222222222222222000000000000-2-20000000000000000000000-2-2-2000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000-2-200000000000000000000002-22000000
χ192222-2-222-2-222222222-2-2-2-22222-2-2-2-2000000000000-2-2000000000000000000000022-2000000
χ202222-2-2-2-22222222222-2-2-2-2-2-2-2-22222000000000000-2-20000000000000000000000-222000000
χ2122-2-22-22-22-22222-2-2-2-222-2-222-2-222-2-20000000000000022−2−20000000000000000000002−22−22−2
χ2222-2-22-22-22-22222-2-2-2-222-2-222-2-222-2-200000000000000−2−222000000000000000000000−22−22−22
χ2322-2-22-2-22-222222-2-2-2-222-2-2-2-222-2-2220000000000000022−2−2000000000000000000000−222−2−22
χ2422-2-22-2-22-222222-2-2-2-222-2-2-2-222-2-22200000000000000−2−2220000000000000000000002−2−222−2
χ2522-2-2-222-2-222222-2-2-2-2-2-22222-2-2-2-2220000000000000022−2−2000000000000000000000−22−222−2
χ2622-2-2-222-2-222222-2-2-2-2-2-22222-2-2-2-22200000000000000−2−2220000000000000000000002−22−2−22
χ2722-2-2-22-222-22222-2-2-2-2-2-222-2-22222-2-20000000000000022−2−20000000000000000000002−2−22−22
χ2822-2-2-22-222-22222-2-2-2-2-2-222-2-22222-2-200000000000000−2−222000000000000000000000−222−22−2
χ292-2-2200000022-2-22-22-20000000000002i−2i2-22i2i−2i−2i22-2-22-22i−2i2i−2i000000000000000000000000000
χ302-2-2200000022-2-22-22-20000000000002i−2i-222i2i−2i−2i-2-2222-2−2i2i−2i2i000000000000000000000000000
χ312-2-2200000022-2-22-22-2000000000000−2i2i2-2−2i−2i2i2i22-2-22-2−2i2i−2i2i000000000000000000000000000
χ322-2-2200000022-2-22-22-2000000000000−2i2i-22−2i−2i2i2i-2-2222-22i−2i2i−2i000000000000000000000000000
χ3344444444441-21-21-2-211-21-21-21-21-21-22200-1-1-1-10000000000220200-1-100-1-1-1-10000000000000
χ3444444444441-21-21-2-211-21-21-21-21-21-2-2-20011110000000000-2-20-200110011110000000000000
χ354444444444-21-21-211-2-21-21-21-21-21-2100220000-1-1-1-100000000202200-1-10000-1-1-1-1000000000
χ364444444444-21-21-211-2-21-21-21-21-21-2100-2-20000111100000000-20-2-2001100001111000000000
χ37444444-4-4-4-41-21-21-2-211-21-2-12-12-12-122200-1-1-1-100000000002-20-2001100-1-1110000000000000
χ38444444-4-4-4-41-21-21-2-211-21-2-12-12-12-12-2-20011110000000000-220200-1-10011-1-10000000000000
χ39444444-4-4-4-4-21-21-211-2-21-212-12-12-12-100220000-1-1-1-100000000-202-200110000-1-111000000000
χ40444444-4-4-4-4-21-21-211-2-21-212-12-12-12-100-2-2000011110000000020-2200-1-1000011-1-1000000000
χ414444-4-444-4-41-21-21-2-21-12-121-21-2-12-122200-1-1-1-10000000000-220-200110011-1-10000000000000
χ424444-4-444-4-41-21-21-2-21-12-121-21-2-12-12-2-200111100000000002-20200-1-100-1-1110000000000000
χ434444-4-444-4-4-21-21-211-22-12-1-21-212-12-100220000-1-1-1-100000000-20-220011000011-1-1000000000
χ444444-4-444-4-4-21-21-211-22-12-1-21-212-12-100-2-20000111100000000202-200-1-10000-1-111000000000
χ454444-4-4-4-4441-21-21-2-21-12-12-12-121-21-22200-1-1-1-10000000000-2-20200-1-10011110000000000000
χ464444-4-4-4-4441-21-21-2-21-12-12-12-121-21-2-2-20011110000000000220-2001100-1-1-1-10000000000000
χ474444-4-4-4-444-21-21-211-22-12-12-12-1-21-2100220000-1-1-1-10000000020-2-200-1-100001111000000000
χ484444-4-4-4-444-21-21-211-22-12-12-12-1-21-2100-2-20000111100000000-202200110000-1-1-1-1000000000
χ4944-4-44-44-44-41-21-2-122-11-2-121-2-121-2-1200003−33−300000000000000003−3003−33−30000000000000
χ5044-4-44-44-44-41-21-2-122-11-2-121-2-121-2-120000−33−330000000000000000−3300−33−330000000000000
χ5144-4-44-44-44-4-21-212-1-12-212-1-212-1-212-1000000003−33−3000000000000003−300003−33−3000000000
χ5244-4-44-44-44-4-21-212-1-12-212-1-212-1-212-100000000−33−3300000000000000−330000−33−33000000000
χ5344-4-44-4-44-441-21-2-122-11-2-12-121-2-121-200003−33−30000000000000000−33003−3−330000000000000
χ5444-4-44-4-44-441-21-2-122-11-2-12-121-2-121-20000−33−3300000000000000003−300−333−30000000000000
χ5544-4-44-4-44-44-21-212-1-12-212-12-1-212-1-21000000003−33−300000000000000−3300003−3−33000000000
χ5644-4-44-4-44-44-21-212-1-12-212-12-1-212-1-2100000000−33−33000000000000003−30000−333−3000000000
χ5744-4-4-444-4-441-21-2-122-1-121-21-2-12-121-200003−33−30000000000000000−3300−333−30000000000000
χ5844-4-4-444-4-441-21-2-122-1-121-21-2-12-121-20000−33−3300000000000000003−3003−3−330000000000000
χ5944-4-4-444-4-44-21-212-1-122-1-21-212-12-1-21000000003−33−300000000000000−330000−333−3000000000
χ6044-4-4-444-4-44-21-212-1-122-1-21-212-12-1-2100000000−33−33000000000000003−300003−3−33000000000
χ6144-4-4-44-444-41-21-2-122-1-121-2-121-21-2-1200003−33−300000000000000003−300−33−330000000000000
χ6244-4-4-44-444-41-21-2-122-1-121-2-121-21-2-120000−33−330000000000000000−33003−33−30000000000000
χ6344-4-4-44-444-4-21-212-1-122-1-212-1-21-212-1000000003−33−3000000000000003−30000−33−33000000000
χ6444-4-4-44-444-4-21-212-1-122-1-212-1-21-212-100000000−33−3300000000000000−3300003−33−3000000000
χ654-44-400000044-4-4-44-4400000000000000000000000000−2i22i22i2−2i2000000000000000000000000000
χ664-44-400000044-4-4-44-44000000000000000000000000002i2−2i2−2i22i2000000000000000000000000000
χ674-4-4400000044-4-44-44-4000000000000000000000000-440000000000000000000000000000000
χ688-88-80000002-4-24-2-4420000000000000000−2i32i32i3−2i30000000000000000000000000000000000000
χ698-88-80000002-4-24-2-44200000000000000002i3−2i3−2i32i30000000000000000000000000000000000000
χ708-88-8000000-424-242-2-40000000000000000000023−23−2323000000000000000000000000000000000
χ718-88-8000000-424-242-2-400000000000000000000−232323−23000000000000000000000000000000000
χ728-8-880000002-4-2424-4-20000000000004i−4i00−2i−2i2i2i0000000000000000000000000000000000000
χ738-8-880000002-4-2424-4-2000000000000−4i4i002i2i−2i−2i0000000000000000000000000000000000000
χ748-8-88000000-424-2-4-224000000000000004-40000-2-222000000000000000000000000000000000
χ758-8-88000000-424-2-4-22400000000000000-44000022-2-2000000000000000000000000000000000

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