Finite Group Databasebeta

← Group #11887327

Character table — Group #11887327

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111224444444444888812121212161616161818181818181818181824242424242424242424242424243636363636363648484848
order1222222334666666666622446612124444448888244444666612121212488888812121212
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11111111111-1-1-1-11-11-11-11111-1-1-1-11-1-1-1-1-1-111-1-1
χ311111111111111111111-1-1111111111111-1-1-1-1-11-11-11-1-1-1-111111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1
χ5111111-111-111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-1-111-1-1-1-1-1-1
χ6111111-111-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-111111-1-1-1-1111-1-111-1-111
χ7111111-111-11111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-11-1-1-1-1-11111111-1-11111-1-1
χ8111111-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-11111
χ91111-1-1111-1111111-1-1-1-1111111-1-1-1-111111111-1-1-111-111-1-111-1-1-1-1-1-1-1111-11-1
χ101111-1-1111-1111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-111-11111-1-11-1-11
χ111111-1-1111-1111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-1-11111-1-1-111-1
χ121111-1-1111-1111111-1-1-1-1-1-1-1-111-1-1-1-111111111111-1-11-1-111-1-111-1-1-1-1-111-11-11
χ131111-1-1-1111111111-1-1-1-11111-1-11111-1-1111111-1-11-1-1111-1-111-1-1-111-1-1-1-1-11-11
χ141111-1-1-1111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1111-1-111-1-1-1-111-1-1-11111-111-1
χ151111-1-1-1111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-11-1-1-111-1-11111-1-1-1-1-111111-1-11
χ161111-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-111-1-1-111-1-111-111-1-1-1-11-11-1
χ172222222222222222222200002222-2-2-2-2-2-2000000000000000000-20000000000
χ18222222-222-222222222220000-2-2-2-22222-2-2000000000000000000-20000000000
χ192222-2-2222-2222222-2-2-2-2000022-2-222-2-2-2-200000000000000000020000000000
χ202222-2-2-2222222222-2-2-2-20000-2-222-2-222-2-200000000000000000020000000000
χ2122-2-22-202202-2-2-2-222-22-2000000002i−2i2i−2i0022−2−2000000000000000−i2i22−2−i2i20000
χ2222-2-22-202202-2-2-2-222-22-2000000002i−2i2i−2i00−2−222000000000000000i2−i2−22i2−i20000
χ2322-2-22-202202-2-2-2-222-22-200000000−2i2i−2i2i0022−2−2000000000000000i2−i22−2i2−i20000
χ2422-2-22-202202-2-2-2-222-22-200000000−2i2i−2i2i00−2−222000000000000000−i2i2−22−i2i20000
χ2522-2-2-2202202-2-2-2-22-22-22000000002i−2i−2i2i0022−2−2000000000000000−i2i2−22i2−i20000
χ2622-2-2-2202202-2-2-2-22-22-22000000002i−2i−2i2i00−2−222000000000000000i2−i22−2−i2i20000
χ2722-2-2-2202202-2-2-2-22-22-2200000000−2i2i2i−2i0022−2−2000000000000000i2−i2−22−i2i20000
χ2822-2-2-2202202-2-2-2-22-22-2200000000−2i2i2i−2i00−2−222000000000000000−i2i22−2i2−i20000
χ292-2-22000220-22-22-2-200002-22i−2i000000002-22i−2i2i−2i0000002-2002i−2i0000000000000
χ302-2-22000220-22-22-2-200002-2−2i2i000000002-2−2i2i−2i2i0000002-200−2i2i0000000000000
χ312-2-22000220-22-22-2-20000-222i−2i000000002-2−2i2i−2i2i000000-22002i−2i0000000000000
χ322-2-22000220-22-22-2-20000-22−2i2i000000002-22i−2i2i−2i000000-2200−2i2i0000000000000
χ3344444441-24-211-2-2111-2-200221-2-2100000000000202020000-1-1-1-1000000000-1-1
χ3444444441-24-211-2-2111-2-200-2-21-2-2100000000000-20-20-20000111100000000011
χ354444444-2141-2-211-2-2-2112200-211-20000000000202020-1-1-1-100000000000-1-100
χ364444444-2141-2-211-2-2-211-2-200-211-20000000000-20-20-201111000000000001100
χ37444444-41-2-4-211-2-2111-2-20022-122-10000000000020-20-20000-1-1-1-100000000011
χ38444444-41-2-4-211-2-2111-2-200-2-2-122-100000000000-2020200001111000000000-1-1
χ39444444-4-21-41-2-211-2-2-21122002-1-12000000000020-20-20-1-1-1-1000000000001100
χ40444444-4-21-41-2-211-2-2-211-2-2002-1-120000000000-202020111100000000000-1-100
χ414444-4-441-2-4-211-2-21-1-12200221-22-100000000000-2020-20000-1-111000000000-11
χ424444-4-441-2-4-211-2-21-1-12200-2-21-22-10000000000020-202000011-1-10000000001-1
χ434444-4-44-21-41-2-211-222-1-12200-21-120000000000-20-2020-1-11100000000000-1100
χ444444-4-44-21-41-2-211-222-1-1-2-200-21-1200000000002020-2011-1-1000000000001-100
χ454444-4-4-41-24-211-2-21-1-1220022-12-2100000000000-20-2020000-1-1110000000001-1
χ464444-4-4-41-24-211-2-21-1-12200-2-2-12-21000000000002020-2000011-1-1000000000-11
χ474444-4-4-4-2141-2-211-222-1-122002-11-20000000000-2020-20-1-111000000000001-100
χ484444-4-4-4-2141-2-211-222-1-1-2-2002-11-2000000000020-202011-1-100000000000-1100
χ494-44-4000440-4-44-44-4000000000000000000−2i22i22i2−2i20000000000000000000000000
χ504-44-4000440-4-44-44-40000000000000000002i2−2i2−2i22i20000000000000000000000000
χ514-4-44000440-44-44-4-40000000000000000-4400000000000000000000000000000
χ5288-8-88-802-40-4-2-24422-2-440000000000000000000000000000000000000000000
χ5388-8-88-80-420244-2-2-4-442-20000000000000000000000000000000000000000000
χ5488-8-8-8802-40-4-2-2442-224-40000000000000000000000000000000000000000000
χ5588-8-8-880-420244-2-2-44-4-220000000000000000000000000000000000000000000
χ568-88-80002-404-224-4-2000000000000000000000000000000000023−2300000000000
χ578-88-80002-404-224-4-20000000000000000000000000000000000−232300000000000
χ588-88-8000-420-24-4-224000000000000000000000000000000−2i32i3000000000000000
χ598-88-8000-420-24-4-2240000000000000000000000000000002i3−2i3000000000000000
χ608-8-880002-4042-2-44-20000004i−4i000000000000000000000000−2i2i0000000000000
χ618-8-880002-4042-2-44-2000000−4i4i0000000000000000000000002i−2i0000000000000
χ628-8-88000-420-2-442-2400004-40000000000000000000000-2200000000000000000
χ638-8-88000-420-2-442-240000-4400000000000000000000002-200000000000000000

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