Finite Group Databasebeta

← Group #72262693

Character table — Group #72262693

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1122222224444444444888888888888888881616161616161616161616161616161616161616323232323232323232323232323232323232323232323232646464646464646464646464
order12222222222222222222222222222222444444444444444444444444224444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ311111111111111111111111111111111111111111111111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ10111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1
χ11111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111
χ12111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ172222222220000-2-2-2-2-2-2222-2-20000002-22-22-20000000000002222-2-2-2-20000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ182222222220000-2-2-2-2-2-2222-2-20000002-22-22-20000000000002222-2-2-2-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ192222222220000-2-2-2-2-2-2222-2-20000002-22-22-2000000000000-2-2-2-222220000000000002i2i−2i−2i−2i−2i2i2i0000000000000000
χ202222222220000-2-2-2-2-2-2222-2-20000002-22-22-2000000000000-2-2-2-22222000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000
χ212222222220000-2-2-2-2-2-222-22-2000000-22-22-2200002222-2-2-2-2000000000000000000002i−2i2i−2i00002i2i−2i−2i000000000000
χ222222222220000-2-2-2-2-2-222-22-2000000-22-22-2200002222-2-2-2-200000000000000000000−2i2i−2i2i0000−2i−2i2i2i000000000000
χ232222222220000-2-2-2-2-2-222-22-2000000-22-22-220000-2-2-2-22222000000000000000000002i−2i2i−2i0000−2i−2i2i2i000000000000
χ242222222220000-2-2-2-2-2-222-22-2000000-22-22-220000-2-2-2-2222200000000000000000000−2i2i−2i2i00002i2i−2i−2i000000000000
χ25222222222222222222222-2-22222222-2-2-2-2-2-2-2-2-2-200000000000000000000000022-2-22-2-2200000000000000000000
χ26222222222222222222222-2-22222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-222-222-200000000000000000000
χ2722222222222-2-22222-2-2-2-22-2-2222-2-2-22-2-22-2222-2-20000000000000000020200-2-20000000000000000002-200000000
χ2822222222222-2-22222-2-2-2-22-2-2222-2-2-22-2-22-2222-2-200000000000000000-20-20022000000000000000000-2200000000
χ2922222222222-2-22222-2-2-2-2-22-2222-2-2-2-222-22-2-2-22200000000000000002020-2-20000000000000000002-20000000000
χ3022222222222-2-22222-2-2-2-2-22-2222-2-2-2-222-22-2-2-2220000000000000000-20-2022000000000000000000-220000000000
χ31222222222-2-2222222-2-2-2-22-2-2-2-2-22222-2-22-22-2-2220000000000000000020200-2-2000000000000000000-2200000000
χ32222222222-2-2222222-2-2-2-22-2-2-2-2-22222-2-22-22-2-22200000000000000000-20-200220000000000000000002-200000000
χ33222222222-2-2222222-2-2-2-2-22-2-2-2-2222-222-22-222-2-200000000000000002020-2-2000000000000000000-220000000000
χ34222222222-2-2222222-2-2-2-2-22-2-2-2-2222-222-22-222-2-20000000000000000-20-20220000000000000000002-20000000000
χ35222222222-2-2-2-222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000022-2-2-222-200000000000000000000
χ36222222222-2-2-2-222222222-2-22-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000-2-2222-2-2200000000000000000000
χ3722-2-2222-2-2000022-2-2-2-22-22-22000000-222-2-220000000000002i2i−2i−2i2i2i−2i−2i000000002-22-2000000002i−2i2i−2i000000000000
χ3822-2-2222-2-2000022-2-2-2-22-22-22000000-222-2-220000000000002i2i−2i−2i2i2i−2i−2i00000000-22-2200000000−2i2i−2i2i000000000000
χ3922-2-2222-2-2000022-2-2-2-22-22-22000000-222-2-22000000000000−2i−2i2i2i−2i−2i2i2i000000002-22-200000000−2i2i−2i2i000000000000
χ4022-2-2222-2-2000022-2-2-2-22-22-22000000-222-2-22000000000000−2i−2i2i2i−2i−2i2i2i00000000-22-22000000002i−2i2i−2i000000000000
χ4122-2-2222-2-2000022-2-2-2-22-2-2220000002-2-222-200002i2i−2i−2i2i2i−2i−2i00000000000000002-2-2200002i−2i2i−2i0000000000000000
χ4222-2-2222-2-2000022-2-2-2-22-2-2220000002-2-222-200002i2i−2i−2i2i2i−2i−2i0000000000000000-222-20000−2i2i−2i2i0000000000000000
χ4322-2-2222-2-2000022-2-2-2-22-2-2220000002-2-222-20000−2i−2i2i2i−2i−2i2i2i00000000000000002-2-220000−2i2i−2i2i0000000000000000
χ4422-2-2222-2-2000022-2-2-2-22-2-2220000002-2-222-20000−2i−2i2i2i−2i−2i2i2i0000000000000000-222-200002i−2i2i−2i0000000000000000
χ4522-2-2222-2-22222-2-222222-222-22-2-22-2-2-2-222-2-22-22-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ4622-2-2222-2-22222-2-222222-222-22-2-22-2-2-2-222-2-22-22-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ4722-2-2222-2-22222-2-222222-2-2-2-22-2-22-2-222-2-222-22-22000000000000000000000000000000002-2-222-2-22000000000000
χ4822-2-2222-2-22222-2-222222-2-2-2-22-2-22-2-222-2-222-22-2200000000000000000000000000000000-222-2-222-2000000000000
χ4922-2-2222-2-222-2-2-2-222-2-2-222-222-2-2-222-22-222-22-2-2200000000000000000000000000000000000000000000002i−2i002i−2i
χ5022-2-2222-2-222-2-2-2-222-2-2-222-222-2-2-222-22-222-22-2-220000000000000000000000000000000000000000000000−2i2i00−2i2i
χ5122-2-2222-2-222-2-2-2-222-2-2-22-2222-2-2-2222-22-2-22-222-2000000000000000000000000000000000000000000002i−2i002i−2i00
χ5222-2-2222-2-222-2-2-2-222-2-2-22-2222-2-2-2222-22-2-22-222-200000000000000000000000000000000000000000000−2i2i00−2i2i00
χ5322-2-2222-2-2-2-222-2-222-2-2-222-22-2222-2-2-22-222-2-222-200000000000000000000000000000000000000000000002i−2i00−2i2i
χ5422-2-2222-2-2-2-222-2-222-2-2-222-22-2222-2-2-22-222-2-222-20000000000000000000000000000000000000000000000−2i2i002i−2i
χ5522-2-2222-2-2-2-222-2-222-2-2-22-222-2222-2-22-22-2-222-2-22000000000000000000000000000000000000000000002i−2i00−2i2i00
χ5622-2-2222-2-2-2-222-2-222-2-2-22-222-2222-2-22-22-2-222-2-2200000000000000000000000000000000000000000000−2i2i002i−2i00
χ5722-2-2222-2-2-2-2-2-2-2-222222-222-2-222-222-2-222-2-2-22-222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ5822-2-2222-2-2-2-2-2-2-2-222222-222-2-222-222-2-222-2-2-22-22−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ5922-2-2222-2-2-2-2-2-2-2-222222-2-2-2-2-222-22222-2-2222-22-2000000000000000000000000000000002-2-22-222-2000000000000
χ6022-2-2222-2-2-2-2-2-2-2-222222-2-2-2-2-222-22222-2-2222-22-200000000000000000000000000000000-222-22-2-22000000000000
χ614444444440000-4-4-4-444-4-444400000044-4-4-4-400000000000000000000000000000000000000000000000000000000
χ624444444440000-4-4-4-444-4-4-4-44000000-4-4444400000000000000000000000000000000000000000000000000000000
χ6344444-4-4-4-400444-44-40000000000-44-400000000002i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000
χ6444444-4-4-4-400444-44-40000000000-44-40000000000−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000
χ6544444-4-4-4-400-4-44-44-400000000004-4400000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000
χ6644444-4-4-4-400-4-44-44-400000000004-440000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000
χ6744444-4-4-4-44400-44-440000000-44-400000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000
χ6844444-4-4-4-44400-44-440000000-44-40000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000
χ6944444-4-4-4-4-4-400-44-4400000004-4400000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000000000
χ7044444-4-4-4-4-4-400-44-4400000004-440000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000000000
χ7144-4-4444-4-4000044-4-444-4444-4000000-4-4-4-44400000000000000000000000000000000000000000000000000000000
χ7244-4-4444-4-4000044-4-444-44-4-4-40000004444-4-400000000000000000000000000000000000000000000000000000000
χ7344-4-44-4-4440044-444-40000000000-4-4400000000002-2-22-222-22-2-22-222-2000000000000000000000000000000000000
χ7444-4-44-4-4440044-444-40000000000-4-440000000000-222-22-2-22-222-22-2-22000000000000000000000000000000000000
χ7544-4-44-4-44400-4-4-444-4000000000044-400000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000
χ7644-4-44-4-44400-4-4-444-4000000000044-40000000000-222-22-2-222-2-22-222-2000000000000000000000000000000000000
χ7744-4-44-4-44444004-4-440000000-4-4400000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000000000
χ7844-4-44-4-44444004-4-440000000-4-440000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ7944-4-44-4-444-4-4004-4-44000000044-400000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000000000
χ8044-4-44-4-444-4-4004-4-44000000044-40000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000000000
χ81888-8-88-88-8000000000000000000000000000000000000000000000000000004-40000000000000000000000000000
χ82888-8-88-88-800000000000000000000000000000000000000000000000000000-440000000000000000000000000000
χ83888-8-8-88-880000000000000000000000000000000000000000000000000004-4000000000000000000000000000000
χ84888-8-8-88-88000000000000000000000000000000000000000000000000000-44000000000000000000000000000000
χ8588-88-88-8-8800000000000000000000000000000000000000000000000040-400000000000000000000000000000000
χ8688-88-88-8-88000000000000000000000000000000000000000000000000-40400000000000000000000000000000000
χ8788-88-8-888-80000000000000000000000000000000000000000000000040-4000000000000000000000000000000000
χ8888-88-8-888-800000000000000000000000000000000000000000000000-404000000000000000000000000000000000
χ8916-1600000008-88-800008-80000000000000000000000000000000000000000000000000000000000000000000000000
χ9016-1600000008-8-880000-880000000000000000000000000000000000000000000000000000000000000000000000000
χ9116-160000000-888-80000-880000000000000000000000000000000000000000000000000000000000000000000000000
χ9216-160000000-88-8800008-80000000000000000000000000000000000000000000000000000000000000000000000000

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