Finite Group Databasebeta

← Group #72306731

Character table — Group #72306731

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size1122222224444444444888888888888888881616161616161616161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232326464646464646464
order12222222244444444442222222222444444422222222224444444444444444444444888844444488888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-111-1-111111111-1-111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1111111-1-1-1-1
χ911111111111-1-1-1-111111111-1-11111-1111-1-1-111-1-1111111-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1011111111111-1-1-1-111111111-1-11111-1111-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ1111111111111-1-1-1-111111111-1-11111-1111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-111-1-1-1-111
χ1211111111111-1-1-1-111111111-1-11111-1111-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-11111-1-1
χ1311111111111-1-1-1-111111111-1-11111-1111-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111
χ1411111111111-1-1-1-111111111-1-11111-1111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1
χ1511111111111-1-1-1-111111111-1-11111-1111-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ1611111111111-1-1-1-111111111-1-11111-1111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-11111-1-1-1-111
χ1711-1-1-1-1111-1-111111111-1-1-1-11-11111-11-1-11-1-111-1-11-11-11-111-1-1-1-1111-11-11-111-1-111-1-111-1-11-11-11-111-1-111-1-11-11-11-11-11-11-11-11-11-1
χ1811-1-1-1-1111-1-111111111-1-1-1-11-11111-11-1-11-1-111-1-11-1-11-1111-1-1-1-1111-1-11-1111-1-111-1-111-1-1-11-111-111-1-111-1-1-11-111-1-11-11-11-11-11-11
χ1911-1-1-1-1111-1-111111111-1-1-1-11-11111-11-1-11-1-111-1-1-111-1-1111-1-1-1-111-111-1-1111-1-111-1-1-1-1111-1-11-11-1-111-1-1111-1-11-111-1-111-11-1-11-11
χ2011-1-1-1-1111-1-111111111-1-1-1-11-11111-11-1-11-1-111-1-1-11-111-111-1-1-1-111-11-111-111-1-111-1-1-1-111-111-1-11-1-111-1-111-111-1-11-111-1-11-111-11-1
χ2111-1-1-1-1111-1-111111111-1-1-1-11-11111-11-1-11-1-1-1-1111-11-11-111-1-111-1-11-11-11-1-1-111-1-11111-1-11-11-11-1-1-111-1-1111-11-11-11-11-1-11-11-11-11
χ2211-1-1-1-1111-1-111111111-1-1-1-11-11111-11-1-11-1-1-1-1111-1-11-1111-1-111-1-11-1-11-11-1-111-1-11111-1-1-11-111-1-1-111-1-111-11-111-1-11-111-11-11-11-1
χ2311-1-1-1-1111-1-111111111-1-1-1-11-11111-11-1-11-1-1-1-111-111-1-1111-1-111-1-1-111-1-11-1-111-1-111-1-1111-1-11-1111-1-111-1-11-1-11-111-1-11-11-111-11-1
χ2411-1-1-1-1111-1-111111111-1-1-1-11-11111-11-1-11-1-1-1-111-11-111-111-1-111-1-1-11-111-1-1-111-1-111-1-111-111-1-1111-1-111-1-1-111-1-11-111-11-11-1-11-11
χ2511-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-11111111-11-11-1-1-111-1-1-1-11-11-11-111-1-1-1-11111-1-1-11-11-1111-1-1-1-111-11-11-111-11-11-1-111-1-11
χ2611-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-11111111-1-11-11-1-111-1-1-1-11-1-11-1111-1-1-1-11111-1-11-11-1-1111-1-1-1-1111-11-1-11-11-11-111-1-111-1
χ2711-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1111111-111-1-11-1-111-1-1-1-1-111-1-1111-1-1-1-111-1-111-111-11-1-1-11111-1-1-111-11-11-1-111-1-11-111-1
χ2811-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-1111111-11-111-1-1-111-1-1-1-1-11-111-111-1-1-1-111-1-1111-1-111-1-1-11111-1-11-1-111-1-111-1-111-11-1-11
χ2911-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-111-1-1-1-11-11-11-1-1-11111111-11-11-1-1-11111-1-111-1-1-11-11-11-1-11111-1-1-11-11-111-11-1-111-1-111-1
χ3011-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-111-1-1-1-11-1-11-11-1-11111111-1-11-11-1-11111-1-111-1-11-11-1-11-1-11111-1-11-11-1-11-11-111-1-111-1-11
χ3111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-111-1-1-1-1-111-1-11-1-1111111-111-1-11-1-11111-1-1-1-111-111-11-111-1-1-1-111-111-11-11-1-11-111-11-1-11
χ3211-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-11111111-1-1-111-1-1-1-1-11-111-1-1-1111111-11-111-1-1-11111-1-1-1-1111-1-111-111-1-1-1-1111-1-111-1-111-11-1-11-111-1
χ332222222222222222222-2-2-2-222-2-2-2-222222220000220000-2-2-2-2000022000000000000-2-2-2-2000022000000000000-2-2000000000000
χ342222222222222222222-2-2-2-222-2-2-2-222222220000-2-20000-2-2-2-20000-2-200000000000022220000-2-200000000000022000000000000
χ352222222222222-2-22-2-2222-2-22222-2-22-2-2-2-2-2-200000000222-22-200000000220000000000000022000000000000-2-20000-2-200000000
χ362222222222222-2-22-2-2222-2-22222-2-22-2-2-2-2-2-200000000-2-22-22-200000000-2-200000000000000-2-20000000000002200002200000000
χ372222222222222-2-22-2-22-2-22222-2-2222-2-2-2-2-2-20000002200-22-22000000220000000000000022000000000000-2-20000-2-20000000000
χ382222222222222-2-22-2-22-2-22222-2-2222-2-2-2-2-2-2000000-2-200-22-22000000-2-200000000000000-2-2000000000000220000220000000000
χ3922222222222-2-2222-2-2222-2-2-2-222-2-2-2-2-2-22220000000022-22-22000000002200000000000000-2-2000000000000220000-2-200000000
χ4022222222222-2-2222-2-2222-2-2-2-222-2-2-2-2-2-222200000000-2-2-22-2200000000-2-20000000000000022000000000000-2-200002200000000
χ4122222222222-2-2222-2-22-2-222-2-2-2-222-2-2-2-222200000022002-22-20000002200000000000000-2-2000000000000220000-2-20000000000
χ4222222222222-2-2222-2-22-2-222-2-2-2-222-2-2-2-2222000000-2-2002-22-2000000-2-20000000000000022000000000000-2-20000220000000000
χ4322222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2222-2-2-200002200002222000022000000000000-2-2-2-20000-2-200000000000022000000000000
χ4422222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2222-2-2-20000-2-2000022220000-2-20000000000002222000022000000000000-2-2000000000000
χ452222-2-2-2-222-20000-22222-22-2002-22-20-22-2000002-22200000000002-2-2-2000000002-22-22-22-200000000002-22-2000000000000000000
χ462222-2-2-2-222-20000-22222-22-2002-22-20-22-2000002-2-2-200000000002-222000000002-22-2-22-220000000000-22-22000000000000000000
χ472222-2-2-2-222-20000-22222-22-2002-22-20-22-200000-22220000000000-22-2-200000000-22-222-22-20000000000-22-22000000000000000000
χ482222-2-2-2-222-20000-22222-22-2002-22-20-22-200000-22-2-20000000000-222200000000-22-22-22-2200000000002-22-2000000000000000000
χ492222-2-2-2-222-20000-2222-22-2200-22-220-22-20002-20022000000002-200-2-200002-22-20000-22-220000002-22-20000000000000000000000
χ502222-2-2-2-222-20000-2222-22-2200-22-220-22-20002-200-2-2000000002-2002200002-22-200002-22-2000000-22-220000000000000000000000
χ512222-2-2-2-222-20000-2222-22-2200-22-220-22-2000-22002200000000-2200-2-20000-22-220000-22-22000000-22-220000000000000000000000
χ522222-2-2-2-222-20000-2222-22-2200-22-220-22-2000-2200-2-200000000-2200220000-22-2200002-22-20000002-22-20000000000000000000000
χ5322-2-222-2-22-220000-22222-22-200-22-220-2-220002-2002-200000000-2200-2200002-2-220000-222-20000002-2-220000000000000000000000
χ5422-2-222-2-22-220000-22222-22-200-22-220-2-220002-200-2200000000-22002-200002-2-2200002-2-22000000-222-20000000000000000000000
χ5522-2-222-2-22-220000-22222-22-200-22-220-2-22000-22002-2000000002-200-220000-222-20000-222-2000000-222-20000000000000000000000
χ5622-2-222-2-22-220000-22222-22-200-22-220-2-22000-2200-22000000002-2002-20000-222-200002-2-220000002-2-220000000000000000000000
χ5722-2-222-2-22-220000-2222-22-22002-22-20-2-22000002-22-20000000000-22-2200000000-222-22-2-220000000000-222-2000000000000000000
χ5822-2-222-2-22-220000-2222-22-22002-22-20-2-22000002-2-220000000000-222-200000000-222-2-222-200000000002-2-22000000000000000000
χ5922-2-222-2-22-220000-2222-22-22002-22-20-2-2200000-222-200000000002-2-22000000002-2-222-2-2200000000002-2-22000000000000000000
χ6022-2-222-2-22-220000-2222-22-22002-22-20-2-2200000-22-2200000000002-22-2000000002-2-22-222-20000000000-222-2000000000000000000
χ6122-2-2-2-2222-2-22222222222222-2-2-2-2-2-22-2-22-2-200002-20000-2-22200002-2000000000000-2-22200002-2000000000000-22000000000000
χ6222-2-2-2-2222-2-22222222222222-2-2-2-2-2-22-2-22-2-20000-220000-2-2220000-2200000000000022-2-20000-220000000000002-2000000000000
χ6322-2-2-2-2222-2-222-2-22-2-2222-2-22-2-2-222-2-222-2220000002-200-222-20000002-2000000000000002-2000000000000-220000-220000000000
χ6422-2-2-2-2222-2-222-2-22-2-2222-2-22-2-2-222-2-222-222000000-2200-222-2000000-2200000000000000-220000000000002-200002-20000000000
χ6522-2-2-2-2222-2-222-2-22-2-22-2-2222-222-2-2-2-222-222000000002-22-2-22000000002-2000000000000002-2000000000000-220000-2200000000
χ6622-2-2-2-2222-2-222-2-22-2-22-2-2222-222-2-2-2-222-22200000000-222-2-2200000000-2200000000000000-220000000000002-200002-200000000
χ6722-2-2-2-2222-2-2-2-2222-2-2222-2-2-22-2-2222-2222-2-20000002-2002-2-220000002-200000000000000-220000000000002-20000-220000000000
χ6822-2-2-2-2222-2-2-2-2222-2-2222-2-2-22-2-2222-2222-2-2000000-22002-2-22000000-22000000000000002-2000000000000-2200002-20000000000
χ6922-2-2-2-2222-2-2-2-2222-2-22-2-222-2222-2-22-2222-2-2000000002-2-222-2000000002-200000000000000-220000000000002-20000-2200000000
χ7022-2-2-2-2222-2-2-2-2222-2-22-2-222-2222-2-22-2222-2-200000000-22-222-200000000-22000000000000002-2000000000000-2200002-200000000
χ7122-2-2-2-2222-2-2-2-2-2-222222222-22-2-2-2-222-2-2-22200002-2000022-2-200002-2000000000000-2-2220000-220000000000002-2000000000000
χ7222-2-2-2-2222-2-2-2-2-2-222222222-22-2-2-2-222-2-2-2220000-22000022-2-20000-2200000000000022-2-200002-2000000000000-22000000000000
χ73444444444-4-44400-400-40000-4-400004000000222200000000002222000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ74444444444-4-44400-400-40000-4-400004000000-2-2-2-20000000000-2-2-2-200000022222222000000000000000000000000000000000000
χ75444444444-4-4-4-400-400-40000440000-400000022-2-2000000000022-2-2000000-2-2-2-22222000000000000000000000000000000000000
χ76444444444-4-4-4-400-400-40000440000-4000000-2-2220000000000-2-2220000002222-2-2-2-2000000000000000000000000000000000000
χ774444-4-4-4-444-40000-4-4-444-4-44004-4-4404-4400000000000000000000000000000000000000000000000000000000000000000000000
χ784444-4-4-4-444-40000-4-4-44-444-400-444-404-4400000000000000000000000000000000000000000000000000000000000000000000000
χ794444-4-4-4-44-440044400-400000000000000-44-42-22-200000000002-22-2000000-22-22-22-22000000000000000000000000000000000000
χ804444-4-4-4-44-440044400-400000000000000-44-4-22-220000000000-22-220000002-22-22-22-2000000000000000000000000000000000000
χ814444-4-4-4-44-4400-4-4400-4000000000000004-442-2-2200000000002-2-22000000-22-222-22-2000000000000000000000000000000000000
χ824444-4-4-4-44-4400-4-4400-4000000000000004-44-222-20000000000-222-20000002-22-2-22-22000000000000000000000000000000000000
χ8344-4-444-4-444-40044400-400000000000000-4-442-2-220000000000-222-2000000-222-2-222-2000000000000000000000000000000000000
χ8444-4-444-4-444-40044400-400000000000000-4-44-222-200000000002-2-220000002-2-222-2-22000000000000000000000000000000000000
χ8544-4-444-4-444-400-4-4400-40000000000000044-42-22-20000000000-22-22000000-222-22-2-22000000000000000000000000000000000000
χ8644-4-444-4-444-400-4-4400-40000000000000044-4-22-2200000000002-22-20000002-2-22-222-2000000000000000000000000000000000000
χ8744-4-444-4-44-440000-4-4-444-4-4400-444-4044-400000000000000000000000000000000000000000000000000000000000000000000000
χ8844-4-444-4-44-440000-4-4-44-444-4004-4-44044-400000000000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-4444444400-400-40000-440000-400000022-2-20000000000-2-222000000-2-222-2-222000000000000000000000000000000000000
χ9044-4-4-4-4444444400-400-40000-440000-4000000-2-222000000000022-2-200000022-2-222-2-2000000000000000000000000000000000000
χ9144-4-4-4-444444-4-400-400-400004-40000400000022220000000000-2-2-2-2000000-2-22222-2-2000000000000000000000000000000000000
χ9244-4-4-4-444444-4-400-400-400004-400004000000-2-2-2-20000000000222200000022-2-2-2-222000000000000000000000000000000000000
χ93888-88-88-8-80000000000000000000000000000000000044000000000000-4-400000000000000000000000000000000000000000000
χ94888-88-88-8-800000000000000000000000000000000000-4-40000000000004400000000000000000000000000000000000000000000
χ95888-8-88-88-800000000000000000000000000000000044000000000000-4-40000000000000000000000000000000000000000000000
χ96888-8-88-88-8000000000000000000000000000000000-4-4000000000000440000000000000000000000000000000000000000000000
χ9788-888-8-88-80000000000000000000000000000000004-4000000000000-440000000000000000000000000000000000000000000000
χ9888-888-8-88-8000000000000000000000000000000000-440000000000004-40000000000000000000000000000000000000000000000
χ9988-88-888-8-8000000000000000000000000000000000004-4000000000000-4400000000000000000000000000000000000000000000
χ10088-88-888-8-800000000000000000000000000000000000-440000000000004-400000000000000000000000000000000000000000000
χ10116-160000000008i−8i8i−8i08-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-160000000008i−8i−8i8i0-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-16000000000−8i8i8i−8i0-8800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-16000000000−8i8i−8i8i08-800000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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