Finite Group Databasebeta

← Group #72338723

Character table — Group #72338723

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11114448888888888888888881616161616161616161616161616161616163232323232323232323232323232323264646464646464646464646464128128
order12222222222222244444444442222222222224444444444444444444444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111-1-111-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-11111111111-1-1111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1111-111-1-1111111-1-1-1-1-1-1-111-1-111-1-11-1
χ61111111111111111111-1-1-1-111-1-1-1-11111-1-11111-1-11111-1111-1-11111-1-111-1-1-1-1-1-1-111-1-111-11
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1111111-1-1-1-111-11
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-1-1-1-1-1-1-111-11111-1-11111-1-11-1
χ91111111-1-1-1-11111111111111111-1-111-1-11111-1-1-1-1111-111-1-11111-1-11111-111-1-1-1-1-1-1-1-1111-1
χ101111111-1-1-1-11111111111111111-1-111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-111-1-1111111-1-1-11
χ111111111-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-111-1111-1-111-1-1111111-1-1-111-1-1-1-111-1-1-11
χ121111111-1-1-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1111111-1-1111-1
χ131111111-1-1-1-111111111-1-1-1-111-1-11111-1-11111-1-111-1-11-11-1-1-1-1-111-1-111-1-11-1-111-1-111-1-1-1-111
χ141111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-111111-1-11-1-1-1-111-1-1-1-1111-1-11111-1-11111-1-1
χ151111111-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-111-1-1-111-1-1-1-1-1-1-11111-1-1111-1-1-1-1111111-1-1
χ161111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1-11111-11-11-1-1-1-1-1-111-1-111111-1-111-1-1-1-1-1-111
χ172222222000022-2-22-2-2-222-2-22-22-2002200002-20000002000002-2-2-200000002-2000000000000
χ182222222000022-2-22-2-2-222-2-22-22-200-2-200002-2000000-2000002-2220000000-22000000000000
χ192222222000022-2-22-2-2-2-2-2222-2-22002200002-2000000200000-22-2-20000000-22000000000000
χ202222222000022-2-22-2-2-2-2-2222-2-2200-2-200002-2000000-200000-222200000002-2000000000000
χ212222222000022-2-2-22-2-222-2-2-222-200002200-22000000020000-2200-2-200000002-20000000000
χ222222222000022-2-2-22-2-222-2-2-222-20000-2-200-220000000-20000-2200220000000-220000000000
χ232222222000022-2-2-22-2-2-2-222-22-2200002200-220000000200002-200-2-20000000-220000000000
χ242222222000022-2-2-22-2-2-2-222-22-220000-2-200-220000000-200002-2002200000002-20000000000
χ25222222222222222-2-2222222-2-22222000000-2-22222000000-2-2-2-200000000-200000000000000
χ26222222222222222-2-222-2-2-2-2-2-2-2-2-2-2000000-2-222-2-2000000-2-22200000000200000000000000
χ27222222222-2-2-2-2222-2-2-200002-20000000000-222-2002200022-200000000-2-200000002-2000000
χ28222222222-2-2-2-2222-2-2-200002-20000000000-222-200-2-2000-22-200000000220000000-22000000
χ29222222222-2-2-2-222-22-2-20000-2200000000222-22-200000020-22000000-2-200000002-200000000
χ30222222222-2-2-2-222-22-2-20000-2200000000-2-22-22-2000000-20-22000000220000000-2200000000
χ312222222-2-222-2-2222-2-2-200002-20000000000-22-2200220002-2200000000-2-20000000-22000000
χ322222222-2-222-2-2222-2-2-200002-20000000000-22-2200-2-2000-2-22000000002200000002-2000000
χ332222222-2-222-2-222-22-2-20000-2200000000222-2-22000000202-2000000-2-20000000-2200000000
χ342222222-2-222-2-222-22-2-20000-2200000000-2-22-2-22000000-202-20000002200000002-200000000
χ352222222-2-2-2-22222-2-2222222-2-222-2-2000000-2-2-2-2-2-200000022-2-200000000200000000000000
χ362222222-2-2-2-22222-2-222-2-2-2-2-2-2-2-222000000-2-2-2-222000000222200000000-200000000000000
χ3744444440000-4-4-4-444440000440000000000-4-40000000000000000000000000000000000000
χ3844444440000-4-4-4-4-4-4440000-4-40000000000440000000000000000000000000000000000000
χ394444-44-400004-40000000044000-4000000220000002200-2-2000000002-22-2000000000000000
χ404444-44-400004-40000000044000-4000000-2-2000000-2-2002200000000-22-22000000000000000
χ414444-44-400004-400000000-4-4000400000022000000-2-200-22000000002-2-22000000000000000
χ424444-44-400004-400000000-4-40004000000-2-200000022002-200000000-222-2000000000000000
χ434444-44-40000-44000000440000-40000000220000002200-2-200000000-22-22000000000000000
χ444444-44-40000-44000000440000-40000000-2-2000000-2-20022000000002-22-2000000000000000
χ454444-44-40000-44000000-4-400004000000022000000-2-200-2200000000-222-2000000000000000
χ464444-44-40000-44000000-4-4000040000000-2-200000022002-2000000002-2-22000000000000000
χ474444-4-440044004-400000000000000222200000-40000-2-20000002-22-20000000000000000000
χ484444-4-440044004-400000000000000-2-2-2-200000-4000022000000-22-220000000000000000000
χ494444-4-4400-4-4004-40000000000000022-2-20000040000-220000002-2-220000000000000000000
χ504444-4-4400-4-4004-400000000000000-2-22200000400002-2000000-222-20000000000000000000
χ514444-4-44440000-440000000000000022220000-400000-2-2000000-22-220000000000000000000
χ524444-4-44440000-4400000000000000-2-2-2-20000-400000220000002-22-20000000000000000000
χ534444-4-44-4-40000-440000000000000022-2-20000400000-22000000-222-20000000000000000000
χ544444-4-44-4-40000-4400000000000000-2-22200004000002-20000002-2-220000000000000000000
χ5588888-8-800000000000000000000440000000000-4-4000000000000000000000000000000000
χ5688888-8-800000000000000000000-4-4000000000044000000000000000000000000000000000
χ5788-8-80000000000040000000-4000004-400000000004i−4i0000000000000000000000000002i−2i00
χ5888-8-80000000000040000000-4000004-40000000000−4i4i000000000000000000000000000−2i2i00
χ5988-8-80000000000040000000-400000-4400000000004i−4i000000000000000000000000000−2i2i00
χ6088-8-80000000000040000000-400000-440000000000−4i4i0000000000000000000000000002i−2i00
χ618-88-8000000000000-4000000040000004-44-40000000000000000000000000000000002-20000
χ628-88-8000000000000-4000000040000004-4-44000000000000000000000000000000000-220000
χ638-88-8000000000000-400000004000000-444-4000000000000000000000000000000000-220000
χ648-88-8000000000000-400000004000000-44-440000000000000000000000000000000002-20000
χ658-8-880004-44-40000004-44-44-400000000000000004-4000000000000000000000000000000000
χ668-8-880004-44-40000004-4-44-440000000000000000-44000000000000000000000000000000000
χ678-8-880004-4-44000000-444-4-4400004-4000000000000000000000000000000000000000000000
χ688-8-880004-4-44000000-44-444-40000-44000000000000000000000000000000000000000000000
χ698-8-88000-444-4000000-444-4-440000-44000000000000000000000000000000000000000000000
χ708-8-88000-444-4000000-44-444-400004-4000000000000000000000000000000000000000000000
χ718-8-88000-44-440000004-44-44-40000000000000000-44000000000000000000000000000000000
χ728-8-88000-44-440000004-4-44-4400000000000000004-4000000000000000000000000000000000
χ731616-16-1600000000000-80000000800000000000000000000000000000000000000000000000000
χ7416-1616-1600000000000080000000-80000000000000000000000000000000000000000000000000

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