Finite Group Databasebeta

← Group #72339038

Character table — Group #72339038

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11114448888888888888888881616161616161616161616161616161616163232323232323232323232323232323264646464646464646464646464128128
order12222222222222244444444442222222244444444442444444444444444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-11111111111-1-1-111-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111111111111111-1-111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111-1-111-1-11-1
χ61111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111111-111-1-11111-1-111-1-1-1-1-1-1-111-1-111-11
χ71111111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1111111-1-1-1-111-11
χ81111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-111-11111-1-11111-1-11-1
χ91111111-1-1-1-11111111111111111-1-11111-1-111-1-1-1-11111-11-1-11111-1-11111-111-1-1-1-1-1-111-1-1-11
χ101111111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1111-1
χ111111111-1-1-1-111111111111111-1-1111111-1-111-1-1-1-1111-111-1-111-1-1111111-1-1-111-1-1-1-1-1-1111-1
χ121111111-1-1-1-111111111111111-1-111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-111111111-1-1-11
χ131111111-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1-11-11-1-1-1-111-1-111-1-11-1-111-1-1111111-1-1
χ141111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111-1-11111-1-1-1-1-1-111
χ151111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1111-1-1-1-111-1-1-1-111
χ161111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-11111111-11-1-1-1-1-1-1-111-1-111111-1-111-1-11111-1-1
χ172222222000022-2-2-2-22-222-2-22-20022002-2002-20000000020002-200-2-200000002-20000000000
χ182222222000022-2-2-2-22-222-2-22-200-2-2002-2002-200000000-20002-200220000000-220000000000
χ192222222000022-2-2-2-22-2-2-2222-20022002-200-22000000002000-2200-2-20000000-220000000000
χ202222222000022-2-2-2-22-2-2-2222-200-2-2002-200-2200000000-2000-22002200000002-20000000000
χ212222222000022-2-2-2-2-2222-2-2-22220000-22002-2000000020000-22-2-200000002-2000000000000
χ222222222000022-2-2-2-2-2222-2-2-22-2-20000-22002-20000000-20000-22220000000-22000000000000
χ232222222000022-2-2-2-2-22-2-222-22220000-2200-220000000200002-2-2-20000000-22000000000000
χ242222222000022-2-2-2-2-22-2-222-22-2-20000-2200-220000000-200002-22200000002-2000000000000
χ2522222222222222222-2-22222-2-2000000-2-222222222000000-2-2-2-200000000-200000000000000
χ2622222222222222222-2-2-2-2-2-2-2-2000000-2-222-2-2-2-2-2-2000000-2-22200000000200000000000000
χ27222222222-2-2-2-222-2-22-200002-2000000-222-20000002220002-200000000-2-200000002-2000000
χ28222222222-2-2-2-222-2-22-200002-2000000-222-2000000-2-2-20002-200000000220000000-22000000
χ29222222222-2-2-2-222-2-2-220000-220000222-22-2000000000002-22000000-2-200000002-200000000
χ30222222222-2-2-2-222-2-2-220000-220000-2-22-22-200000000000-2-22000000220000000-2200000000
χ312222222-2-222-2-222-2-22-200002-2000000-22-22000000222000-2200000000-2-20000000-22000000
χ322222222-2-222-2-222-2-22-200002-2000000-22-22000000-2-2-2000-22000000002200000002-2000000
χ332222222-2-222-2-222-2-2-220000-220000222-2-220000000000022-2000000-2-20000000-2200000000
χ342222222-2-222-2-222-2-2-220000-220000-2-22-2-2200000000000-22-20000002200000002-200000000
χ352222222-2-2-2-2222222-2-22222-2-2000000-2-2-2-222-2-2-2-200000022-2-200000000200000000000000
χ362222222-2-2-2-2222222-2-2-2-2-2-2-2-2000000-2-2-2-2-2-22222000000222200000000-200000000000000
χ3744444440000-4-4-4-44444000044000000-4-400000000000000000000000000000000000000000
χ3844444440000-4-4-4-444-4-40000-4-40000004400000000000000000000000000000000000000000
χ394444-44-400004-400000000440000002200000-4000022-200-2000000002-22-2000000000000000
χ404444-44-400004-40000000044000000-2-200000-40000-2-2200200000000-22-22000000000000000
χ414444-44-400004-400000000-4-4000000220000040000-2-2200-2000000002-2-22000000000000000
χ424444-44-400004-400000000-4-4000000-2-2000004000022-200200000000-222-2000000000000000
χ434444-44-40000-440000004400000000220000-40000022-200-200000000-22-22000000000000000
χ444444-44-40000-440000004400000000-2-20000-400000-2-22002000000002-22-2000000000000000
χ454444-44-40000-44000000-4-400000000220000400000-2-2200-200000000-222-2000000000000000
χ464444-44-40000-44000000-4-400000000-2-2000040000022-2002000000002-2-22000000000000000
χ474444-4-440044004-40000000000222200000-4000000000-2-2000002-22-20000000000000000000
χ484444-4-440044004-40000000000-2-2-2-200000-40000000002200000-22-220000000000000000000
χ494444-4-4400-4-4004-4000000000022-2-2000004000000000-22000002-2-220000000000000000000
χ504444-4-4400-4-4004-40000000000-2-2220000040000000002-200000-222-20000000000000000000
χ514444-4-44440000-44000000000022220000-40000000000-2-200000-22-220000000000000000000
χ524444-4-44440000-440000000000-2-2-2-20000-4000000000022000002-22-20000000000000000000
χ534444-4-44-4-40000-44000000000022-2-2000040000000000-2200000-222-20000000000000000000
χ544444-4-44-4-40000-440000000000-2-2220000400000000002-2000002-2-220000000000000000000
χ5588888-8-800000000000000000000000000000044-4-4000000000000000000000000000000000
χ5688888-8-8000000000000000000000000000000-4-444000000000000000000000000000000000
χ5788-8-80004-44-400004-4004i−4i4i−4i00000000000000004i−4i000000000000000000000000000000000
χ5888-8-80004-44-400004-400−4i4i−4i4i0000000000000000−4i4i000000000000000000000000000000000
χ5988-8-80004-4-440000-44004i−4i−4i4i000000000000004i−4i00000000000000000000000000000000000
χ6088-8-80004-4-440000-4400−4i4i4i−4i00000000000000−4i4i00000000000000000000000000000000000
χ6188-8-8000-444-40000-44004i−4i−4i4i00000000000000−4i4i00000000000000000000000000000000000
χ6288-8-8000-444-40000-4400−4i4i4i−4i000000000000004i−4i00000000000000000000000000000000000
χ6388-8-8000-44-4400004-4004i−4i4i−4i0000000000000000−4i4i000000000000000000000000000000000
χ6488-8-8000-44-4400004-400−4i4i−4i4i00000000000000004i−4i000000000000000000000000000000000
χ658-88-800000000000000-40000044-4004-400000000000000000000000000000000000002-20000
χ668-88-800000000000000-40000044-400-440000000000000000000000000000000000000-220000
χ678-88-800000000000000-4000004-44004-40000000000000000000000000000000000000-220000
χ688-88-800000000000000-4000004-4400-4400000000000000000000000000000000000002-20000
χ698-8-880000000000000-40000040004-40000000000004-40000000000000000000000000002-200
χ708-8-880000000000000-40000040004-4000000000000-44000000000000000000000000000-2200
χ718-8-880000000000000-4000004000-440000000000004-4000000000000000000000000000-2200
χ728-8-880000000000000-4000004000-44000000000000-440000000000000000000000000002-200
χ7316-1616-1600000000000000800000-80000000000000000000000000000000000000000000000000
χ7416-16-16160000000000000800000-800000000000000000000000000000000000000000000000000

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