Finite Group Databasebeta

← Group #72262641

Character table — Group #72262641

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11222222244444444448888888888888888888888888161616161616161616161616161616163232323232323232323232323232323232323232323232323232323232323232323232323232323264646464
order12222222222222222222222222222222444444444444444444444444444422444444444444444444444444444444888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111
χ91111111111111-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1
χ101111111111111-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii1-11-1
χ111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−iiiiiii−i−i−i−i−i−iii−i−iii-11-11
χ121111111111111-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i−i−i−i−iiiiiii−i−iii−i−i-11-11
χ131111111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111-11-1-1-111iiii−i−i−i−iii−i−i−i−iii−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ141111111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111111-11-1-1-111−i−i−i−iiiii−i−iiiii−i−iiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ151111111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-11-1111-1-1iiii−i−i−i−i−i−iiiii−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ161111111111111-1-111-1-111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111-11-1111-1-1−i−i−i−iiiiiii−i−i−i−iiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ1711111111111-1-11111-1-111-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1-1-111ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii-111-1
χ1811111111111-1-11111-1-111-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11-11-1-1-111−i−iii−i−iii−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i-111-1
χ1911111111111-1-11111-1-111-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i1-1-11
χ2011111111111-1-11111-1-111-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11-1111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii1-1-11
χ2111111111111-1-11111-1-111-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1ii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−i-11-11
χ2211111111111-1-11111-1-111-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii-11-11
χ2311111111111-1-11111-1-111-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111ii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iii1-11-1
χ2411111111111-1-11111-1-111-1-1-1111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i1-11-1
χ2511111111111-1-1-1-1111111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-11-111-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ2611111111111-1-1-1-1111111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-11-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111
χ2711111111111-1-1-1-1111111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1
χ2811111111111-1-1-1-1111111-1-1-1-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-111-1-11111-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ2911111111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ3011111111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-11111-1-1-1-11111
χ3211111111111-1-1-1-1111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111
χ332222222222222222222-2-222222222-2-22-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000000000000000000000000000
χ342222222222222222222-2-222222222-2-22-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000
χ352222222222222-2-222-2-2-2-2222-2-2-2-2-222-2-2-22222222222-2-222-2-222-2-2-2-222-2-200000000000000000000000000000000000000000000
χ362222222222222-2-222-2-2-2-2222-2-2-2-2-222-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-22222-2-22200000000000000000000000000000000000000000000
χ3722222222222-2-22222-2-2-2-2-2-2-2222-2-222-2-2-2222222222222-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ3822222222222-2-22222-2-2-2-2-2-2-2222-2-222-2-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ3922222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22-2-22222-2-2-2-2-2-22222-2-2-2-222-2-2222200000000000000000000000000000000000000000000
χ4022222222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-22-2-2-2-2-2-22222-2-222222222-2-222-2-2-2-200000000000000000000000000000000000000000000
χ4122-2-2222-2-2220000-2-2222-20000002-22-2-22-22i2i−2i−2i2i2i−2i−2i2-200002i−2i000000002i−2i00000000002-22-20000000000002i−2i2i−2i00000000000000
χ4222-2-2222-2-2220000-2-2222-20000002-22-2-22-22i2i−2i−2i2i2i−2i−2i2-200002i−2i000000002i−2i0000000000-22-22000000000000−2i2i−2i2i00000000000000
χ4322-2-2222-2-2220000-2-2222-20000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-20000−2i2i00000000−2i2i00000000002-22-2000000000000−2i2i−2i2i00000000000000
χ4422-2-2222-2-2220000-2-2222-20000002-22-2-22-2−2i−2i2i2i−2i−2i2i2i2-20000−2i2i00000000−2i2i0000000000-22-220000000000002i−2i2i−2i00000000000000
χ4522-2-2222-2-2220000-2-222-220000002-2-22-2-222i2i−2i−2i−2i−2i2i2i-220000−2i2i000000002i−2i000000002-200002-2000000002i−2i00002i−2i000000000000
χ4622-2-2222-2-2220000-2-222-220000002-2-22-2-222i2i−2i−2i−2i−2i2i2i-220000−2i2i000000002i−2i00000000-220000-2200000000−2i2i0000−2i2i000000000000
χ4722-2-2222-2-2220000-2-222-220000002-2-22-2-22−2i−2i2i2i2i2i−2i−2i-2200002i−2i00000000−2i2i000000002-200002-200000000−2i2i0000−2i2i000000000000
χ4822-2-2222-2-2220000-2-222-220000002-2-22-2-22−2i−2i2i2i2i2i−2i−2i-2200002i−2i00000000−2i2i00000000-220000-22000000002i−2i00002i−2i000000000000
χ4922-2-2222-2-2220000-2-2-2-22-2000000-22-2222-22i2i−2i−2i−2i−2i2i2i-2200002i−2i00000000−2i2i00000000002i−2i−2i2i000000000000-222-200000000000000
χ5022-2-2222-2-2220000-2-2-2-22-2000000-22-2222-22i2i−2i−2i−2i−2i2i2i-2200002i−2i00000000−2i2i0000000000−2i2i2i−2i0000000000002-2-2200000000000000
χ5122-2-2222-2-2220000-2-2-2-22-2000000-22-2222-2−2i−2i2i2i2i2i−2i−2i-220000−2i2i000000002i−2i00000000002i−2i−2i2i0000000000002-2-2200000000000000
χ5222-2-2222-2-2220000-2-2-2-22-2000000-22-2222-2−2i−2i2i2i2i2i−2i−2i-220000−2i2i000000002i−2i0000000000−2i2i2i−2i000000000000-222-200000000000000
χ5322-2-2222-2-2220000-2-2-2-2-22000000-222-22-222i2i−2i−2i2i2i−2i−2i2-20000−2i2i00000000−2i2i000000002i−2i0000−2i2i00000000-2200002-2000000000000
χ5422-2-2222-2-2220000-2-2-2-2-22000000-222-22-222i2i−2i−2i2i2i−2i−2i2-20000−2i2i00000000−2i2i00000000−2i2i00002i−2i000000002-20000-22000000000000
χ5522-2-2222-2-2220000-2-2-2-2-22000000-222-22-22−2i−2i2i2i−2i−2i2i2i2-200002i−2i000000002i−2i000000002i−2i0000−2i2i000000002-20000-22000000000000
χ5622-2-2222-2-2220000-2-2-2-2-22000000-222-22-22−2i−2i2i2i−2i−2i2i2i2-200002i−2i000000002i−2i00000000−2i2i00002i−2i00000000-2200002-2000000000000
χ5722-2-2222-2-2-2-2222222222-22-2-22-2-2-2-22-22-2200000000-222-22-2000000000000000000000000000000002-22-20000000000002-22-20000
χ5822-2-2222-2-2-2-2222222222-22-2-22-2-2-2-22-22-2200000000-222-22-200000000000000000000000000000000-22-22000000000000-22-220000
χ5922-2-2222-2-2-2-222222222-222-2-22-2-2-2-2-2222-2000000002-2-22-2200000000000000000000000000002-22-20000000000002-22-200000000
χ6022-2-2222-2-2-2-222222222-222-2-22-2-2-2-2-2222-2000000002-2-22-220000000000000000000000000000-22-22000000000000-22-2200000000
χ6122-2-2222-2-2-2-222-2-222-2-22-22-2-2-22222-22-2-22000000002-22-2-22000000000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i0000
χ6222-2-2222-2-2-2-222-2-222-2-22-22-2-2-22222-22-2-22000000002-22-2-2200000000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i0000
χ6322-2-2222-2-2-2-222-2-222-2-2-222-2-2-222222-2-22-200000000-22-222-200000000000000000000000000002i−2i−2i2i0000000000002i−2i−2i2i00000000
χ6422-2-2222-2-2-2-222-2-222-2-2-222-2-2-222222-2-22-200000000-22-222-20000000000000000000000000000−2i2i2i−2i000000000000−2i2i2i−2i00000000
χ6522-2-2222-2-2-2-2-2-22222-2-22-2-2222-2-222-22-2-22000000002-2-222-2000000000000000000000000000000002i−2i−2i2i000000000000−2i2i2i−2i0000
χ6622-2-2222-2-2-2-2-2-22222-2-22-2-2222-2-222-22-2-22000000002-2-222-200000000000000000000000000000000−2i2i2i−2i0000000000002i−2i−2i2i0000
χ6722-2-2222-2-2-2-2-2-22222-2-2-22-2222-2-2222-2-22-200000000-222-2-2200000000000000000000000000002i−2i−2i2i000000000000−2i2i2i−2i00000000
χ6822-2-2222-2-2-2-2-2-22222-2-2-22-2222-2-2222-2-22-200000000-222-2-220000000000000000000000000000−2i2i2i−2i0000000000002i−2i−2i2i00000000
χ6922-2-2222-2-2-2-2-2-2-2-222222-2-222-222-2-22-22-2200000000-22-22-22000000000000000000000000000000002-22-2000000000000-22-220000
χ7022-2-2222-2-2-2-2-2-2-2-222222-2-222-222-2-22-22-2200000000-22-22-2200000000000000000000000000000000-22-220000000000002-22-20000
χ7122-2-2222-2-2-2-2-2-2-2-22222-22-222-222-2-2-2222-2000000002-22-22-200000000000000000000000000002-22-2000000000000-22-2200000000
χ7222-2-2222-2-2-2-2-2-2-2-22222-22-222-222-2-2-2222-2000000002-22-22-20000000000000000000000000000-22-220000000000002-22-200000000
χ73444444444-4-40000-4-44444000000-4444-4-4-400000000-4-4000000000000000000000000000000000000000000000000000000000000
χ74444444444-4-40000-4-444-4-4000000-44-4-4-4440000000044000000000000000000000000000000000000000000000000000000000000
χ75444444444-4-40000-4-4-4-4440000004-4-4-44-4-40000000044000000000000000000000000000000000000000000000000000000000000
χ76444444444-4-40000-4-4-4-4-4-40000004-44444400000000-4-4000000000000000000000000000000000000000000000000000000000000
χ7744444-4-4-4-44-400444-40000000-44-400000004i−4i4i−4i00000000000000004i−4i000000000000000000000000000000000000000000000000
χ7844444-4-4-4-44-400444-40000000-44-40000000−4i4i−4i4i0000000000000000−4i4i000000000000000000000000000000000000000000000000
χ7944444-4-4-4-44-400-4-44-400000004-4400000004i−4i4i−4i0000000000000000−4i4i000000000000000000000000000000000000000000000000
χ8044444-4-4-4-44-400-4-44-400000004-440000000−4i4i−4i4i00000000000000004i−4i000000000000000000000000000000000000000000000000
χ8144444-4-4-4-4-444400-440000-44-4000000000000004i−4i4i−4i000000000000004i−4i0000000000000000000000000000000000000000000000
χ8244444-4-4-4-4-444400-440000-44-400000000000000−4i4i−4i4i00000000000000−4i4i0000000000000000000000000000000000000000000000
χ8344444-4-4-4-4-44-4-400-4400004-44000000000000004i−4i4i−4i00000000000000−4i4i0000000000000000000000000000000000000000000000
χ8444444-4-4-4-4-44-4-400-4400004-4400000000000000−4i4i−4i4i000000000000004i−4i0000000000000000000000000000000000000000000000
χ8544-4-44-4-4444-44400-440000-4-4400000000004-4-440000000000004-40000000000000000000000000000000000000000000000000000
χ8644-4-44-4-4444-44400-440000-4-440000000000-444-4000000000000-440000000000000000000000000000000000000000000000000000
χ8744-4-44-4-4444-4-4-400-44000044-400000000004-4-44000000000000-440000000000000000000000000000000000000000000000000000
χ8844-4-44-4-4444-4-4-400-44000044-40000000000-444-40000000000004-40000000000000000000000000000000000000000000000000000
χ8944-4-44-4-444-4400444-40000000-4-44000000000004-4-4400000000004-400000000000000000000000000000000000000000000000000
χ9044-4-44-4-444-4400444-40000000-4-4400000000000-444-40000000000-4400000000000000000000000000000000000000000000000000
χ9144-4-44-4-444-4400-4-44-4000000044-4000000000004-4-440000000000-4400000000000000000000000000000000000000000000000000
χ9244-4-44-4-444-4400-4-44-4000000044-400000000000-444-400000000004-400000000000000000000000000000000000000000000000000
χ93888-8-88-88-80000000000000000000000000000000000000000000000000000000004-4000000000000000000000000000000000000
χ94888-8-88-88-8000000000000000000000000000000000000000000000000000000000-44000000000000000000000000000000000000
χ95888-8-8-88-8800000000000000000000000000000000000000000000000000040-400000000000000000000000000000000000000000
χ96888-8-8-88-88000000000000000000000000000000000000000000000000000-40400000000000000000000000000000000000000000
χ9788-88-88-8-88000000000000000000000000000000000000000000000000000040-40000000000000000000000000000000000000000
χ9888-88-88-8-880000000000000000000000000000000000000000000000000000-4040000000000000000000000000000000000000000
χ9988-88-8-888-800000000000000000000000000000000000000000000000000000004-400000000000000000000000000000000000000
χ10088-88-8-888-80000000000000000000000000000000000000000000000000000000-4400000000000000000000000000000000000000
χ10116-160000000008-88-8008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10216-160000000008-8-8800-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10316-16000000000-888-800-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10416-16000000000-88-88008-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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