Finite Group Databasebeta

← Group #72338576

Character table — Group #72338576

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122222224444444444888888888888888881616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222222444444442222222224444444422222222224444444444444444444444888844444488888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111111111-1-1-1-1
χ9111111111-1-11111-1-1111111-11111-1-111-1-1-11-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1
χ10111111111-1-11111-1-1111111-11111-1-111-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ11111111111-1-11111-1-1111111-11111-1-111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ12111111111-1-11111-1-1111111-11111-1-111-1-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ13111111111-1-11111-1-1111111-11111-1-111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-111
χ14111111111-1-11111-1-1111111-11111-1-111-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-11111-1-1
χ15111111111-1-11111-1-1111111-11111-1-111-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-11111-1-1
χ16111111111-1-11111-1-1111111-11111-1-111-1-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111
χ1711-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-111111-11-111-1111-1-11-11-11-11-11-11-11111-1-1-1-11111-1-1-1-111-1-11-11-11-11-11-11-11-11-111-1-111-1-11-11-11-11-1
χ1811-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-111111-11-111-1111-1-11-11-11-11-11-11-1-1-1-1-11111-1-1-1-1111111-1-11-11-11-11-11-11-11-11-1-1-111-1-111-11-11-11-11
χ1911-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-111111-11-111-1111-1-11-1-11-111-1-11-111111-1-1-1-11111-1-1-1-111-1-11-1-11-11-11-111-1-11-1111-1-111-1-1-11-11-11-11
χ2011-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-111111-11-111-1111-1-11-1-11-111-1-11-11-1-1-1-11111-1-1-1-1111111-1-11-1-11-11-11-111-1-11-11-1-111-1-1111-11-11-11-1
χ2111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-111111-11-111-1111-1-1-111-1-11-111-1-111111-1-1-1-11111-1-1-1-1-1-111-111-1-111-1-11-111-1-11-1-111-1-1111-11-1-11-11
χ2211-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-111111-11-111-1111-1-1-111-1-11-111-1-11-1-1-1-11111-1-1-1-11111-1-111-111-1-111-1-11-111-1-1111-1-111-1-1-11-111-11-1
χ2311-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-111111-11-111-1111-1-1-11-111-1-11-111-11111-1-1-1-11111-1-1-1-1-1-111-11-111-1-111-1-11-111-1-1-111-1-111-11-111-11-1
χ2411-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-111111-11-111-1111-1-1-11-111-1-11-111-1-1-1-1-11111-1-1-1-11111-1-111-11-111-1-111-1-11-111-111-1-111-1-11-11-1-11-11
χ2511-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-111-1-1111-11-11-11-11-11-11111-1-1-1-1-1-1-1-1111111-1-1-11-11-11-11-11-111-11-111-1-1-1-1111-1-111-1-11
χ2611-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-111-1-1111-11-11-11-11-11-1-1-1-1-111111111-1-1-1-111-1-1-11-11-11-11-11-111-11-1-1-11111-1-1-111-1-111-1
χ2711-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-111-1-1111-1-11-111-1-11-111111-1-1-1-1-1-1-1-1111111-1-1-111-11-11-11-1-11-11-1111-1-1-1-111-111-1-111-1
χ2811-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-111-1-1111-1-11-111-1-11-11-1-1-1-111111111-1-1-1-111-1-1-111-11-11-11-1-11-11-11-1-11111-1-11-1-111-1-11
χ2911-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-111-1-111-111-1-11-111-1-111111-1-1-1-1-1-1-1-11111-1-1111-1-111-1-111-11-11-1-11-1-11111-1-11-1-11-111-1
χ3011-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-111-1-111-111-1-11-111-1-11-1-1-1-111111111-1-1-1-1-1-1111-1-111-1-111-11-11-1-1111-1-1-1-111-111-11-1-11
χ3111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-111-1-111-11-111-1-11-111-11111-1-1-1-1-1-1-1-11111-1-1111-11-1-111-1-111-1-111-1-1-11111-1-1-111-11-1-11
χ3211-1-1-1-1111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-111-1-111-11-111-1-11-111-1-1-1-1-111111111-1-1-1-1-1-1111-11-1-111-1-111-1-111-111-1-1-1-1111-1-11-111-1
χ332222222222222222222-2-2-2-22-2-2-2-222222222-2-2-2-22200002200000000000000000000-2-2-2-22200000000-2-200000000000000000000
χ342222222222222222222-2-2-2-22-2-2-2-222222222-2-2-2-2-2-20000-2-2000000000000000000002222-2-2000000002200000000000000000000
χ352222222222222-2-2-2-22222-2-2222-2-222-2-2-2-2-2-22-22-20000220000220000000000000000000000002200-2-20000-2-20000000000000000
χ362222222222222-2-2-2-22222-2-2222-2-222-2-2-2-2-2-22-22-20000-2-20000-2-2000000000000000000000000-2-200220000220000000000000000
χ372222222222222-2-2-2-222-2-2222-2-22222-2-2-2-2-2-2-22-2200220000220000000000000000000000002200-2-20000-2-2000000000000000000
χ382222222222222-2-2-2-222-2-2222-2-22222-2-2-2-2-2-2-22-2200-2-20000-2-2000000000000000000000000-2-20022000022000000000000000000
χ39222222222-2-22222-2-222-2-2-2-2-2-2-2-2-2-2-222-2-2-2222222200002200000000000000000000-2-2-2-2-2-2000000002200000000000000000000
χ40222222222-2-22222-2-222-2-2-2-2-2-2-2-2-2-2-222-2-2-222222-2-20000-2-20000000000000000000022222200000000-2-200000000000000000000
χ41222222222-2-222-2-2222222-2-2-222-2-2-2-2-2-2222-2-22-22000022000022000000000000000000000000-2-200220000-2-20000000000000000
χ42222222222-2-222-2-2222222-2-2-222-2-2-2-2-2-2222-2-22-220000-2-20000-2-20000000000000000000000002200-2-20000220000000000000000
χ43222222222-2-222-2-22222-2-222-2-2-222-2-2-2-2222-22-22-20022000022000000000000000000000000-2-200220000-2-2000000000000000000
χ44222222222-2-222-2-22222-2-222-2-2-222-2-2-2-2222-22-22-200-2-20000-2-20000000000000000000000002200-2-2000022000000000000000000
χ452222-2-22-2-2002-22200-222-22-202-22-2002-2000-20000220000-2-20000000000002i2i−2i−2i2i2i−2i−2i2-22-2000000000000000000002i−2i2i−2i00000000
χ462222-2-22-2-2002-22200-222-22-202-22-2002-2000-20000220000-2-2000000000000−2i−2i2i2i−2i−2i2i2i2-22-200000000000000000000−2i2i−2i2i00000000
χ472222-2-22-2-2002-22200-222-22-202-22-2002-2000-20000-2-20000220000000000002i2i−2i−2i2i2i−2i−2i-22-2200000000000000000000−2i2i−2i2i00000000
χ482222-2-22-2-2002-22200-222-22-202-22-2002-2000-20000-2-2000022000000000000−2i−2i2i2i−2i−2i2i2i-22-22000000000000000000002i−2i2i−2i00000000
χ492222-2-22-2-2002-22200-22-22-220-22-22002-2000-20000220000-2-200002i2i−2i−2i2i2i−2i−2i00000000-22-2200000000000000002i−2i2i−2i000000000000
χ502222-2-22-2-2002-22200-22-22-220-22-22002-2000-20000220000-2-20000−2i−2i2i2i−2i−2i2i2i00000000-22-220000000000000000−2i2i−2i2i000000000000
χ512222-2-22-2-2002-22200-22-22-220-22-22002-2000-20000-2-200002200002i2i−2i−2i2i2i−2i−2i000000002-22-20000000000000000−2i2i−2i2i000000000000
χ522222-2-22-2-2002-22200-22-22-220-22-22002-2000-20000-2-20000220000−2i−2i2i2i−2i−2i2i2i000000002-22-200000000000000002i−2i2i−2i000000000000
χ5322-2-2222-2-200-22-2-200-222-22-20-22-220022000-200002-20000-2200002i2i−2i−2i−2i−2i2i2i00000000-222-200000000000000002i−2i−2i2i000000000000
χ5422-2-2222-2-200-22-2-200-222-22-20-22-220022000-200002-20000-220000−2i−2i2i2i2i2i−2i−2i00000000-222-20000000000000000−2i2i2i−2i000000000000
χ5522-2-2222-2-200-22-2-200-222-22-20-22-220022000-20000-2200002-200002i2i−2i−2i−2i−2i2i2i000000002-2-220000000000000000−2i2i2i−2i000000000000
χ5622-2-2222-2-200-22-2-200-222-22-20-22-220022000-20000-2200002-20000−2i−2i2i2i2i2i−2i−2i000000002-2-2200000000000000002i−2i−2i2i000000000000
χ5722-2-2222-2-200-22-2-200-22-22-2202-22-20022000-200002-20000-220000000000002i2i−2i−2i−2i−2i2i2i2-2-22000000000000000000002i−2i−2i2i00000000
χ5822-2-2222-2-200-22-2-200-22-22-2202-22-20022000-200002-20000-22000000000000−2i−2i2i2i2i2i−2i−2i2-2-2200000000000000000000−2i2i2i−2i00000000
χ5922-2-2222-2-200-22-2-200-22-22-2202-22-20022000-20000-2200002-20000000000002i2i−2i−2i−2i−2i2i2i-222-200000000000000000000−2i2i2i−2i00000000
χ6022-2-2222-2-200-22-2-200-22-22-2202-22-20022000-20000-2200002-2000000000000−2i−2i2i2i2i2i−2i−2i-222-2000000000000000000002i−2i−2i2i00000000
χ6122-2-2-2-222222-2-222222222-2-2-2-2-2222-2-22-2-22-2-222-2002-200002-20000000000000000000000002-200-220000-22000000000000000000
χ6222-2-2-2-222222-2-222222222-2-2-2-2-2222-2-22-2-22-2-222-200-220000-22000000000000000000000000-22002-200002-2000000000000000000
χ6322-2-2-2-222222-2-2222222-2-222-222-2-22-2-22-2-22-22-2-2200002-200002-20000000000000000000000002-200-220000-220000000000000000
χ6422-2-2-2-222222-2-2222222-2-222-222-2-22-2-22-2-22-22-2-220000-220000-22000000000000000000000000-22002-200002-20000000000000000
χ6522-2-2-2-222222-2-2-2-2-2-2222222-2-2-2-2-22-22-222-22-2-2222-200002-200000000000000000000-2-2222-200000000-2200000000000000000000
χ6622-2-2-2-222222-2-2-2-2-2-2222222-2-2-2-2-22-22-222-22-2-222-220000-220000000000000000000022-2-2-22000000002-200000000000000000000
χ6722-2-2-2-2222-2-2-2-222-2-22222-2-22-2-222-22-2222-2-22-2-22002-200002-2000000000000000000000000-22002-20000-22000000000000000000
χ6822-2-2-2-2222-2-2-2-222-2-22222-2-22-2-222-22-2222-2-22-2-2200-220000-220000000000000000000000002-200-2200002-2000000000000000000
χ6922-2-2-2-2222-2-2-2-222-2-222-2-222222-2-2-22-2222-2-2-222-200002-200002-2000000000000000000000000-22002-20000-220000000000000000
χ7022-2-2-2-2222-2-2-2-222-2-222-2-222222-2-2-22-2222-2-2-222-20000-220000-220000000000000000000000002-200-2200002-20000000000000000
χ7122-2-2-2-2222-2-2-2-2-2-2222222222-2-2-2-2-222-2-2-22222-2-22-200002-200000000000000000000-2-222-22000000002-200000000000000000000
χ7222-2-2-2-2222-2-2-2-2-2-2222222222-2-2-2-2-222-2-2-22222-2-2-220000-220000000000000000000022-2-22-200000000-2200000000000000000000
χ7344444444444-4-40000-4-4000040000-4-400000000000000000000002-22-22-22-22-22-22-22-2000000000000000000000000000000000000
χ7444444444444-4-40000-4-4000040000-4-40000000000000000000000-22-22-22-22-22-22-22-22000000000000000000000000000000000000
χ75444444444-4-4-4-40000-4-40000-400004400000000000000000000002-22-22-22-2-22-22-22-22000000000000000000000000000000000000
χ76444444444-4-4-4-40000-4-40000-40000440000000000000000000000-22-22-22-222-22-22-22-2000000000000000000000000000000000000
χ774444-4-44-4-4004-4-4-400-444-4-4404-4-4400-44000400000000000000000000000000000000000000000000000000000000000000000000
χ784444-4-44-4-4004-4-4-400-44-444-40-444-400-44000400000000000000000000000000000000000000000000000000000000000000000000
χ794444-4-44-4-400-4400444-400000000000004-4-4000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
χ804444-4-44-4-400-4400444-400000000000004-4-400000000000000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ814444-4-44-4-400-4400-4-44-40000000000000-444000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ824444-4-44-4-400-4400-4-44-40000000000000-44400000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
χ8344-4-4444-4-4004-400444-40000000000000-44-4000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ8444-4-4444-4-4004-400444-40000000000000-44-400000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ8544-4-4444-4-4004-400-4-44-400000000000004-44000000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ8644-4-4444-4-4004-400-4-44-400000000000004-4400000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ8744-4-4444-4-400-444400-444-4-440-444-400-4-4000400000000000000000000000000000000000000000000000000000000000000000000
χ8844-4-4444-4-400-444400-44-444-404-4-4400-4-4000400000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-444444440000-4-40000-40000-4400000000000000000000002-22-2-22-222-22-2-22-22000000000000000000000000000000000000
χ9044-4-4-4-444444440000-4-40000-40000-440000000000000000000000-22-222-22-2-22-222-22-2000000000000000000000000000000000000
χ9144-4-4-4-4444-4-4440000-4-40000400004-400000000000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000000000
χ9244-4-4-4-4444-4-4440000-4-40000400004-40000000000000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000000000
χ93888-88-8-88-800000000000000000000000000000000000440000-4-40000000000000000000000000000000000000000000000000000
χ94888-88-8-88-800000000000000000000000000000000000-4-40000440000000000000000000000000000000000000000000000000000
χ95888-8-88-8-88000000000000000000000000000000000440000-4-4000000000000000000000000000000000000000000000000000000
χ96888-8-88-8-88000000000000000000000000000000000-4-4000044000000000000000000000000000000000000000000000000000000
χ9788-888-8-8-880000000000000000000000000000000004-40000-44000000000000000000000000000000000000000000000000000000
χ9888-888-8-8-88000000000000000000000000000000000-4400004-4000000000000000000000000000000000000000000000000000000
χ9988-88-88-88-8000000000000000000000000000000000004-40000-440000000000000000000000000000000000000000000000000000
χ10088-88-88-88-800000000000000000000000000000000000-4400004-40000000000000000000000000000000000000000000000000000
χ10116-1600000008-8008-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-1600000008-800-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-160000000-88008-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-160000000-8800-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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