Finite Group Databasebeta

← Group #11895292

Character table — Group #11895292

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order1222443344666666121212122244121212124444448888244444666612121212488888812121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-1-11-1-11111-1-111-1-11-1-1-1-1-1-111-1-1
χ311111111111111111111-1-1111111111111-1-1-1-11-111-1-1-1-111-1-1111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ511111111-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ611111111-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-111-1-11-1-11111-1-111
χ711111111-1-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-111-1-111-1-1111-1-1111111-1-1
χ811111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-11111
χ91111-1-1111-1111111-1-1-1-1111111-1-111-1-1111111-1-11-11-111-1-1-1-111-1-1-111-1-11-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-111-1-111-1-1-1-11-1-111-11111-1-1-1-1-111-1-1111-1-11
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-111-1-11-1-1-1-11111-111-1-111-111-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-111-1-111-1-111111111-11-11-1-11111-1-1-1-1-111-1-1-11-11
χ131111-1-111-11111111-1-1-1-11111-1-111-1-111111111-1-1-11-1111-1-1-1-111-1-1-1-1-111-11-11
χ141111-1-111-11111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-11-1-111111-1-1-1-1-11111-1-1-111-1
χ151111-1-111-11111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11-111-1-1-1-1-11111-11111-1-11-1-11
χ161111-1-111-11111111-1-1-1-1-1-1-1-1-1-111-1-111111111111-11-1-1-11111-1-1-1-1-1-1-1111-11-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ1822222222-2-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-2000022-2-2-2-222-2-200000000000000000020000000000
χ202222-2-222-22222222-2-2-2-20000-2-22222-2-2-2-200000000000000000020000000000
χ2122-2-22-22200-2-222-2-222-2-2000000002i−2i2i−2i0022−2−20000000000000002−2−i2i2−i2i20000
χ2222-2-22-22200-2-222-2-222-2-2000000002i−2i2i−2i00−2−222000000000000000−22i2−i2i2−i20000
χ2322-2-22-22200-2-222-2-222-2-200000000−2i2i−2i2i0022−2−20000000000000002−2i2−i2i2−i20000
χ2422-2-22-22200-2-222-2-222-2-200000000−2i2i−2i2i00−2−222000000000000000−22−i2i2−i2i20000
χ2522-2-2-222200-2-222-2-2-2-222000000002i−2i−2i2i0022−2−2000000000000000−22−i2i2i2−i20000
χ2622-2-2-222200-2-222-2-2-2-222000000002i−2i−2i2i00−2−2220000000000000002−2i2−i2−i2i20000
χ2722-2-2-222200-2-222-2-2-2-22200000000−2i2i2i−2i0022−2−2000000000000000−22i2−i2−i2i20000
χ2822-2-2-222200-2-222-2-2-2-22200000000−2i2i2i−2i00−2−2220000000000000002−2−i2i2i2−i20000
χ292-22-20022002-2-2-22-200002-22i−2i00000000-222i−2i2i−2i0000002-200002i−2i00000000000
χ302-22-20022002-2-2-22-200002-2−2i2i00000000-22−2i2i−2i2i0000002-20000−2i2i00000000000
χ312-22-20022002-2-2-22-20000-222i−2i00000000-22−2i2i−2i2i000000-2200002i−2i00000000000
χ322-22-20022002-2-2-22-20000-22−2i2i00000000-222i−2i2i−2i000000-220000−2i2i00000000000
χ334444441-2441-21-2-211-21-222001-21-20000000000020022-1-100-1-1000000000-1-100
χ344444441-2441-21-2-211-21-2-2-2001-21-200000000000-200-2-21100110000000001100
χ354444441-2-4-41-21-2-211-21-22200-12-1200000000000200-2-2-1-100-1-10000000001100
χ364444441-2-4-41-21-2-211-21-2-2-200-12-1200000000000-20022110011000000000-1-100
χ37444444-2144-21-211-2-21-210022-21-21000000000020220000-1-100-1-1000000000-1-1
χ38444444-2144-21-211-2-21-2100-2-2-21-210000000000-20-2-2000011001100000000011
χ39444444-21-4-4-21-211-2-21-2100222-12-1000000000020-2-20000-1-100-1-100000000011
χ40444444-21-4-4-21-211-2-21-2100-2-22-12-10000000000-20220000110011000000000-1-1
χ414444-4-41-24-41-21-2-21-12-1222001-2-1200000000000-2002-2-1-10011000000000-1100
χ424444-4-41-24-41-21-2-21-12-12-2-2001-2-1200000000000200-221100-1-10000000001-100
χ434444-4-41-2-441-21-2-21-12-122200-121-200000000000-200-22-1-100110000000001-100
χ444444-4-41-2-441-21-2-21-12-12-2-200-121-2000000000002002-21100-1-1000000000-1100
χ454444-4-4-214-4-21-211-22-12-10022-212-10000000000-202-200001100-1-1000000000-11
χ464444-4-4-214-4-21-211-22-12-100-2-2-212-1000000000020-220000-1-100110000000001-1
χ474444-4-4-21-44-21-211-22-12-100222-1-210000000000-20-2200001100-1-10000000001-1
χ484444-4-4-21-44-21-211-22-12-100-2-22-1-210000000000202-20000-1-10011000000000-11
χ494-44-40044004-4-4-44-400000000000000004-400000000000000000000000000000
χ504-4-44004400-44-4-4-44000000000000000000−2i22i22i2−2i20000000000000000000000000
χ514-4-44004400-44-4-4-440000000000000000002i2−2i2−2i22i20000000000000000000000000
χ5288-8-88-82-400-242-44-22-4-240000000000000000000000000000000000000000000
χ5388-8-88-8-42004-2-42-24-424-20000000000000000000000000000000000000000000
χ5488-8-8-882-400-242-44-2-242-40000000000000000000000000000000000000000000
χ5588-8-8-88-42004-2-42-244-2-420000000000000000000000000000000000000000000
χ568-88-8002-40024-24-4-200004-40000000000000000000000-2200000000000000000
χ578-88-8002-40024-24-4-20000-4400000000000000000000002-200000000000000000
χ588-88-800-4200-4-24-2240000004i−4i00000000000000000000000000−2i2i00000000000
χ598-88-800-4200-4-24-224000000−4i4i000000000000000000000000002i−2i00000000000
χ608-8-88002-400-2-4-24420000000000000000000000000000000023−230000000000000
χ618-8-88002-400-2-4-244200000000000000000000000000000000−23230000000000000
χ628-8-8800-4200424-2-2-4000000000000000000000000000000−2i32i3000000000000000
χ638-8-8800-4200424-2-2-40000000000000000000000000000002i3−2i3000000000000000

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