Finite Group Databasebeta

← Group #72235400

Character table — Group #72235400

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73
size1111444161616161616161616161616161616323232323232323232323232323232323232646464646464646464646464646464128128128128128128128128128128128128128128128128128128
order1222222222222444444444444444444444444444222444444444444444444888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-11111-1-1
χ91111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1111111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ101111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1
χ111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1
χ121111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111
χ131111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111111-1-1-1-111-1-111-1-111-1-1-1-1
χ141111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ151111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111
χ161111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1
χ1722222222-22-2-2-222-2222-2-2-20000000000002222-2-200-200002i2i−2i−2i00000000000000002i−2i0000
χ1822222222-22-2-2-222-2222-2-2-20000000000002222-2-200-20000−2i−2i2i2i0000000000000000−2i2i0000
χ1922222222-22-2-2-222-2222-2-2-2000000000000-2-2-2-22200200002i2i−2i−2i0000000000000000−2i2i0000
χ2022222222-22-2-2-222-2222-2-2-2000000000000-2-2-2-2220020000−2i−2i2i2i00000000000000002i−2i0000
χ2122222222-2-22-2-22-222-2-222-20000002222-2-20000000-202i2i−2i−2i000000000000002i−2i0000000000
χ2222222222-2-22-2-22-222-2-222-20000002222-2-20000000-20−2i−2i2i2i00000000000000−2i2i0000000000
χ2322222222-2-22-2-22-222-2-222-2000000-2-2-2-2220000000202i2i−2i−2i00000000000000−2i2i0000000000
χ2422222222-2-22-2-22-222-2-222-2000000-2-2-2-222000000020−2i−2i2i2i000000000000002i−2i0000000000
χ2522222222-2-2-22-2-222-22-22-222222-2-2000000000000-200000000002i2i−2i−2i000000000000002i−2i00
χ2622222222-2-2-22-2-222-22-22-222222-2-2000000000000-20000000000−2i−2i2i2i00000000000000−2i2i00
χ2722222222-2-2-22-2-222-22-22-22-2-2-2-222000000000000200000000002i2i−2i−2i00000000000000−2i2i00
χ2822222222-2-2-22-2-222-22-22-22-2-2-2-22200000000000020000000000−2i−2i2i2i000000000000002i−2i00
χ292222222-222-2-2-222-2-2-2-222200000022-2-2220000000-20000000002i−2i2i−2i00000000000000002i−2i
χ302222222-222-2-2-222-2-2-2-222200000022-2-2220000000-2000000000−2i2i−2i2i0000000000000000−2i2i
χ312222222-222-2-2-222-2-2-2-2222000000-2-222-2-2000000020000000002i−2i2i−2i0000000000000000−2i2i
χ322222222-222-2-2-222-2-2-2-2222000000-2-222-2-200000002000000000−2i2i−2i2i00000000000000002i−2i
χ332222222-22-22-2-22-22-222-2-2222-2-222000000000000-20000002i−2i2i−2i000000000000002i−2i000000
χ342222222-22-22-2-22-22-222-2-2222-2-222000000000000-2000000−2i2i−2i2i00000000000000−2i2i000000
χ352222222-22-22-2-22-22-222-2-22-2-222-2-200000000000020000002i−2i2i−2i00000000000000−2i2i000000
χ362222222-22-22-2-22-22-222-2-22-2-222-2-20000000000002000000−2i2i−2i2i000000000000002i−2i000000
χ372222222-22-2-22-2-2222-22-22-200000000000022-2-22200-22i−2i2i−2i00000000000000002i−2i00000000
χ382222222-22-2-22-2-2222-22-22-200000000000022-2-22200-2−2i2i−2i2i0000000000000000−2i2i00000000
χ392222222-22-2-22-2-2222-22-22-2000000000000-2-222-2-20022i−2i2i−2i0000000000000000−2i2i00000000
χ402222222-22-2-22-2-2222-22-22-2000000000000-2-222-2-2002−2i2i−2i2i00000000000000002i−2i00000000
χ412222222-2-22-2-22-2-2222-2-22222-2-2-2-20000000000002002-2-22000000002-20000000000000000
χ422222222-2-22-2-22-2-2222-2-22222-2-2-2-2000000000000200-222-200000000-220000000000000000
χ432222222-2-22-2-22-2-2222-2-222-2-22222000000000000-2002-2-2200000000-220000000000000000
χ442222222-2-22-2-22-2-2222-2-222-2-22222000000000000-200-222-2000000002-20000000000000000
χ452222222-2-2-22-22-22-22-222-2200000000000022-2-2-2-2002000000002-2-2200002-2000000000000
χ462222222-2-2-22-22-22-22-222-2200000000000022-2-2-2-200200000000-222-20000-22000000000000
χ472222222-2-2-22-22-22-22-222-22000000000000-2-2222200-2000000002-2-220000-22000000000000
χ482222222-2-2-22-22-22-22-222-22000000000000-2-2222200-200000000-222-200002-2000000000000
χ492222222-2-2-2-2222-2-2-22222-200000022-2-2-2-200000002000002-2-220000002-200000000000000
χ502222222-2-2-2-2222-2-2-22222-200000022-2-2-2-20000000200000-222-2000000-2200000000000000
χ512222222-2-2-2-2222-2-2-22222-2000000-2-222220000000-2000002-2-22000000-2200000000000000
χ522222222-2-2-2-2222-2-2-22222-2000000-2-222220000000-200000-222-20000002-200000000000000
χ534444444444-4-44-4-44-4-444-4-4000000000000000000000000000000000000000000000000000
χ54444444444-44-44-44-4-44-4-44-4000000000000000000000000000000000000000000000000000
χ55444444444-4-4444-4-44-4-4-4-44000000000000000000000000000000000000000000000000000
χ5644444444-4444-4-4-4-4-4-44-444000000000000000000000000000000000000000000000000000
χ574444444-44444-4-4-4-444-44-4-4000000000000000000000000000000000000000000000000000
χ584444444-4-44444444-4-4-4-4-4-4000000000000000000000000000000000000000000000000000
χ591616161616-16-16000000000000000000000000000000000000000000000000000000000000000000
χ6016161616-1616-16000000000000000000000000000000000000000000000000000000000000000000
χ6116161616-16-1616000000000000000000000000000000000000000000000000000000000000000000
χ621616-16-16000000000000000000004-4004-4000000004-4000000000000000000000000000000000
χ631616-16-16000000000000000000004-400-4400000000-44000000000000000000000000000000000
χ641616-16-1600000000000000000000-44004-400000000-44000000000000000000000000000000000
χ651616-16-1600000000000000000000-4400-44000000004-4000000000000000000000000000000000
χ6616-1616-1600000000000000000000004-4004-4004-40000000000000000000000000000000000000
χ6716-1616-1600000000000000000000004-400-4400-440000000000000000000000000000000000000
χ6816-1616-160000000000000000000000-44004-400-440000000000000000000000000000000000000
χ6916-1616-160000000000000000000000-4400-44004-40000000000000000000000000000000000000
χ7016-16-16160000000000000000004-4000000004-4004-400000000000000000000000000000000000
χ7116-16-16160000000000000000004-400000000-4400-4400000000000000000000000000000000000
χ7216-16-1616000000000000000000-44000000004-400-4400000000000000000000000000000000000
χ7316-16-1616000000000000000000-4400000000-44004-400000000000000000000000000000000000

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