Finite Group Databasebeta

← Group #11867836

Character table — Group #11867836

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60
size1111224444444444888816161616181818181818181824242424242424242424242424242424363636363636363648484848
order1222222334666666666666121244448888244444441212121212121212248888886121212
χ1111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ31111111111111111111111111111-1-1-1-11-111-11-1-11111-1-1-1-111-1-1-1-1-1-11-1-11
χ41111111111111111111111111111-1-1-1-1-11-1-11-111-1-1-1-1111111-1-1-1-1-1-1-111-1
χ5111111-111-11111111111-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ6111111-111-11111111111-1-1-1-111111111-1-111-1-11111111111-1-111-1-1-1-1-1-1-1-1
χ7111111-111-11111111111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-1-1-11111-1-1-1-111111-1-11
χ8111111-111-11111111111-1-1-1-11111-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ91111-1-1111-1111111-1-1-1-111-1-11-1-111111111-1-1-11-111-1-111-1-1-11-1-111-1-111-1-1
χ101111-1-1111-1111111-1-1-1-111-1-11-1-111111-1-1-1111-11-1-111-1-111-11-1-111-1-1-1-111
χ111111-1-1111-1111111-1-1-1-111-1-11-1-11-1-1-1-11-11-11-1-1111-1-1-1-111-1111-1-1111-11-1
χ121111-1-1111-1111111-1-1-1-111-1-11-1-11-1-1-1-1-11-11-111-1-1-11111-1-1-1111-1-111-11-11
χ131111-1-1-1111111111-1-1-1-1-1-1111-1-11111111-11-1-1-11-1-111-1-1111-1-1-1-1-11111-1-1
χ141111-1-1-1111111111-1-1-1-1-1-1111-1-111111-1-11-1111-111-1-111-1-11-1-1-1-1-111-1-111
χ151111-1-1-1111111111-1-1-1-1-1-1111-1-11-1-1-1-11-1-111-11-1-1-11111-1-11-11111-1-11-11-1
χ161111-1-1-1111111111-1-1-1-1-1-1111-1-11-1-1-1-1-111-1-11-1111-1-1-1-1111-11111-1-1-11-11
χ17222222222222222222222222-2-2-2-200000000000000000000-2-20000000000
χ18222222-222-22222222222-2-2-2-2-2-2-2-200000000000000000000220000000000
χ192222-2-2222-2222222-2-2-2-222-2-2-222-2000000000000000000002-20000000000
χ202222-2-2-2222222222-2-2-2-2-2-222-222-200000000000000000000-220000000000
χ212-2-222-20220-2-2-22-222-22-2000022-2-22i2i−2i−2i0000000000000000002i−2i00000000
χ222-2-222-20220-2-2-22-222-22-2000022-2-2−2i−2i2i2i000000000000000000−2i2i00000000
χ232-2-222-20220-2-2-22-222-22-20000-2-2220000000000000000000000002-22-20000
χ242-2-222-20220-2-2-22-222-22-20000-2-222000000000000000000000000-22-220000
χ252-2-22-220220-2-2-22-22-22-2200002-22-22i2i−2i−2i000000000000000000−2i2i00000000
χ262-2-22-220220-2-2-22-22-22-2200002-22-2−2i−2i2i2i0000000000000000002i−2i00000000
χ272-2-22-220220-2-2-22-22-22-220000-22-220000000000000000000000002-2-220000
χ282-2-22-220220-2-2-22-22-22-220000-22-22000000000000000000000000-222-20000
χ2944444441-24-211-2-2111-2-21-2-2100000000020020220000-1-1-1-1000000000-1-10
χ3044444441-24-211-2-2111-2-21-2-21000000000-200-20-2-200001111000000000110
χ314444444-2141-2-211-2-2-211-211-20000000020220200-1-1-1-1000000000000-100-1
χ324444444-2141-2-211-2-2-211-211-200000000-20-2-20-20011110000000000001001
χ33444444-41-2-4-211-2-2111-2-2-122-100000000020020-2-200001111000000000-1-10
χ34444444-41-2-4-211-2-2111-2-2-122-1000000000-200-20220000-1-1-1-1000000000110
χ35444444-4-21-41-2-211-2-2-2112-1-120000000020-2-202001111000000000000-100-1
χ36444444-4-21-41-2-211-2-2-2112-1-1200000000-20220-200-1-1-1-10000000000001001
χ374444-4-441-2-4-211-2-21-1-1221-22-1000000000200-202-20000-1-111000000000-110
χ384444-4-441-2-4-211-2-21-1-1221-22-1000000000-20020-22000011-1-10000000001-10
χ394444-4-44-21-41-2-211-222-1-1-21-1200000000202-20-200-1-111000000000000-1001
χ404444-4-44-21-41-2-211-222-1-1-21-1200000000-20-22020011-1-1000000000000100-1
χ414444-4-4-41-24-211-2-21-1-122-12-21000000000200-20-22000011-1-1000000000-110
χ424444-4-4-41-24-211-2-21-1-122-12-21000000000-200202-20000-1-1110000000001-10
χ434444-4-4-4-2141-2-211-222-1-12-11-20000000020-220-20011-1-1000000000000-1001
χ444444-4-4-4-2141-2-211-222-1-12-11-200000000-202-20200-1-111000000000000100-1
χ4544-4-400044044-4-4-4-400000000000022−2222−220000000000000000000000000000
χ4644-4-400044044-4-4-4-4000000000000−2222−22220000000000000000000000000000
χ474-44-4000440-4-44-44-4000000000000−2i22i22i2−2i20000000000000000000000000000
χ484-44-4000440-4-44-44-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ4988-8-80002-40-42-244-200000000000000000000000000000023−23000000000000
χ5088-8-80002-40-42-244-2000000000000000000000000000000−2323000000000000
χ5188-8-8000-4202-44-2-240000000000000000000000000023−230000000000000000
χ5288-8-8000-4202-44-2-2400000000000000000000000000−23230000000000000000
χ538-88-80002-404-224-4-2000000000000000000000000000023−2300000000000000
χ548-88-80002-404-224-4-20000000000000000000000000000−232300000000000000
χ558-88-8000-420-24-4-224000000000000000000000000−2i32i3000000000000000000
χ568-88-8000-420-24-4-2240000000000000000000000002i3−2i3000000000000000000
χ578-8-888-802-404-2-2-4422-2-440000000000000000000000000000000000000000
χ588-8-888-80-420-2442-2-4-442-20000000000000000000000000000000000000000
χ598-8-88-8802-404-2-2-442-224-40000000000000000000000000000000000000000
χ608-8-88-880-420-2442-2-44-4-220000000000000000000000000000000000000000

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