Finite Group Databasebeta

← Group #72317889

Character table — Group #72317889

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95
size11222222244444444888888888888888888161616161616161616161616161616161616161616161616161616163232323232323232323232323232323232323232646464646464646464646464
order12222444422222244222222224444444444224444444444444444444444444424444444444444448888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ5111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111
χ8111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-1-1-1-1-1
χ9111111111-1-1-1-111111-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-111-1-1
χ10111111111-1-1-1-111111-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-111-11-11-1-111
χ11111111111-1-1-1-111111-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1-1-111
χ12111111111-1-1-1-111111-1-1-1-11111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1111-1-1111-1-1
χ13111111111-1-1-1-111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111-11-1-1-111
χ14111111111-1-1-1-111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1-11-1111-1-1
χ15111111111-1-1-1-111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-111-111-111-1-1
χ16111111111-1-1-1-111111-1-1-1-11111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-11-1-11-1-111
χ172222222222222222222222-2-2222-2-222-2-2-2-2-2-2-2-20000000000000000222222220000000000000000-2-2-2-2000000000000
χ182222222222222222222222-2-2222-2-222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000
χ1922222222222222222-2-2-2-2-222-2-2-22222-2-2-2-222-2-200000000000000000000000022220000000000000000000000-2-20000
χ2022222222222222222-2-2-2-2-222-2-2-22222-2-2-2-222-2-2000000000000000000000000-2-2-2-20000000000000000000000220000
χ2122222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222000000000000000000000000000022220000000000000000-2-2000000
χ2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2220000000000000000000000000000-2-2-2-2000000000000000022000000
χ23222222222-2-2-2-222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-2222200000000000000002222-2-2-2-20000000000000000-2-222000000000000
χ24222222222-2-2-2-222222-2-2-2-2-2-2222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-22222000000000000000022-2-2000000000000
χ25222222222-2-2-2-22222-2222222-2-2-222-2-2-2-2-2-2-2-22200000000000000000000000022-2-20000000000000000000000-220000
χ26222222222-2-2-2-22222-2222222-2-2-222-2-2-2-2-2-2-2-222000000000000000000000000-2-22200000000000000000000002-20000
χ27222222222-2-2-2-22222-22222-2-2-2-2-2-2-2-2-2222222-2-2000000000000000000000000000022-2-20000000000000000-22000000
χ28222222222-2-2-2-22222-22222-2-2-2-2-2-2-2-2-2222222-2-20000000000000000000000000000-2-22200000000000000002-2000000
χ2922222-2-2-2-222-2-2-2-222222-2-2222-2-2-2-22-222-2-22-22-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000
χ3022222-2-2-2-222-2-2-2-222222-2-2222-2-2-2-22-222-2-22-22-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000
χ3122222-2-2-2-222-2-2-2-222222-2-2-2-22-2-2222-2-2-222-22-220000000000000000000000000000000022-2-222-2-20000000000000000
χ3222222-2-2-2-222-2-2-2-222222-2-2-2-22-2-2222-2-2-222-22-2200000000000000000000000000000000-2-222-2-2220000000000000000
χ3322222-2-2-2-222-2-2-2-222-2-2-22222-222-2-22-2-2-2222-2-22000000000000000000000000000000000000000000002-22-200000000
χ3422222-2-2-2-222-2-2-2-222-2-2-22222-222-2-22-2-2-2222-2-2200000000000000000000000000000000000000000000-22-2200000000
χ3522222-2-2-2-222-2-2-2-222-2-2-222-2-2-222222-222-2-2-222-200000000000000000000000000000000000000000000000000002i−2i2i−2i
χ3622222-2-2-2-222-2-2-2-222-2-2-222-2-2-222222-222-2-2-222-20000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ3722222-2-2-2-2-2-222-2-2222-2-222222-2-2-2-2-2222-2-2-22-2222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000
χ3822222-2-2-2-2-2-222-2-2222-2-222222-2-2-2-2-2222-2-2-22-22-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000
χ3922222-2-2-2-2-2-222-2-2222-2-222-2-22-2-222-22-2-2222-22-20000000000000000000000000000000022-2-2-2-2220000000000000000
χ4022222-2-2-2-2-2-222-2-2222-2-222-2-22-2-222-22-2-2222-22-200000000000000000000000000000000-2-22222-2-20000000000000000
χ4122222-2-2-2-2-2-222-2-222-222-2-222-222-2-2-22-2-222-222-2000000000000000000000000000000000000000000002-2-2200000000
χ4222222-2-2-2-2-2-222-2-222-222-2-222-222-2-2-22-2-222-222-200000000000000000000000000000000000000000000-222-200000000
χ4322222-2-2-2-2-2-222-2-222-222-2-2-2-2-22222-2222-2-22-2-2200000000000000000000000000000000000000000000000000002i−2i−2i2i
χ4422222-2-2-2-2-2-222-2-222-222-2-2-2-2-22222-2222-2-22-2-220000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ45222-2-22-22-200002-22-2-200002-222-22-2002-22-2000000002i−2i2i−2i00002i−2i2i−2i00002i2i−2i−2i000000002-22-20000002i−2i000000000000
χ46222-2-22-22-200002-22-2-200002-222-22-2002-22-2000000002i−2i2i−2i00002i−2i2i−2i0000−2i−2i2i2i00000000-22-22000000−2i2i000000000000
χ47222-2-22-22-200002-22-2-200002-222-22-2002-22-200000000−2i2i−2i2i0000−2i2i−2i2i00002i2i−2i−2i00000000-22-220000002i−2i000000000000
χ48222-2-22-22-200002-22-2-200002-222-22-2002-22-200000000−2i2i−2i2i0000−2i2i−2i2i0000−2i−2i2i2i000000002-22-2000000−2i2i000000000000
χ49222-2-22-22-200002-22-2-20000-2222-2-2200-22-2200002i−2i2i−2i00002i−2i2i−2i000000002i2i−2i−2i0000000000002-22-200−2i2i000000000000
χ50222-2-22-22-200002-22-2-20000-2222-2-2200-22-2200002i−2i2i−2i00002i−2i2i−2i00000000−2i−2i2i2i000000000000-22-22002i−2i000000000000
χ51222-2-22-22-200002-22-2-20000-2222-2-2200-22-220000−2i2i−2i2i0000−2i2i−2i2i000000002i2i−2i−2i000000000000-22-2200−2i2i000000000000
χ52222-2-22-22-200002-22-2-20000-2222-2-2200-22-220000−2i2i−2i2i0000−2i2i−2i2i00000000−2i−2i2i2i0000000000002-22-2002i−2i000000000000
χ53222-2-2-22-220000-222-2-200002-22-22-22002-2-22000000002i−2i−2i2i00002i−2i−2i2i2i2i−2i−2i00000000000000002-2-222i−2i00000000000000
χ54222-2-2-22-220000-222-2-200002-22-22-22002-2-22000000002i−2i−2i2i00002i−2i−2i2i−2i−2i2i2i0000000000000000-222-2−2i2i00000000000000
χ55222-2-2-22-220000-222-2-200002-22-22-22002-2-2200000000−2i2i2i−2i0000−2i2i2i−2i2i2i−2i−2i0000000000000000-222-22i−2i00000000000000
χ56222-2-2-22-220000-222-2-200002-22-22-22002-2-2200000000−2i2i2i−2i0000−2i2i2i−2i−2i−2i2i2i00000000000000002-2-22−2i2i00000000000000
χ57222-2-2-22-220000-222-2-20000-222-222-200-222-200002i−2i−2i2i00002i−2i−2i2i00002i2i−2i−2i0000000000002-2-220000−2i2i00000000000000
χ58222-2-2-22-220000-222-2-20000-222-222-200-222-200002i−2i−2i2i00002i−2i−2i2i0000−2i−2i2i2i000000000000-222-200002i−2i00000000000000
χ59222-2-2-22-220000-222-2-20000-222-222-200-222-20000−2i2i2i−2i0000−2i2i2i−2i00002i2i−2i−2i000000000000-222-20000−2i2i00000000000000
χ60222-2-2-22-220000-222-2-20000-222-222-200-222-20000−2i2i2i−2i0000−2i2i2i−2i0000−2i−2i2i2i0000000000002-2-2200002i−2i00000000000000
χ614444444444444-4-4-4-4000000000000-4-40000000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ624444444444444-4-4-4-4000000000000-4-400000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ63444444444-4-4-4-4-4-4-4-400000000000044000000002222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ64444444444-4-4-4-4-4-4-4-40000000000004400000000-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ6544444-4-4-4-444-4-444-4-4000000000000-440000000022-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ6644444-4-4-4-444-4-444-4-4000000000000-4400000000-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ6744444-4-4-4-4-4-44444-4-40000000000004-40000000022-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000
χ6844444-4-4-4-4-4-44444-4-40000000000004-400000000-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000
χ69444-4-44-44-400004-44-4400004-4-4-444-400-44-44000000000000000000000000000000000000000000000000000000000000
χ70444-4-44-44-400004-44-440000-44-4-44-44004-44-4000000000000000000000000000000000000000000000000000000000000
χ71444-4-44-44-40000-44-4404-44-4000000000000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ72444-4-44-44-40000-44-4404-44-400000000000000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ73444-4-44-44-40000-44-440-44-44000000000000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000
χ74444-4-44-44-40000-44-440-44-4400000000000000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000
χ75444-4-4-44-4400004-4-4404-4-44000000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ76444-4-4-44-4400004-4-4404-4-4400000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ77444-4-4-44-4400004-4-440-444-4000000000000000002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ78444-4-4-44-4400004-4-440-444-400000000000000000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ79444-4-4-44-440000-444-4400004-4-44-4-4400-444-4000000000000000000000000000000000000000000000000000000000000
χ80444-4-4-44-440000-444-440000-44-44-44-4004-4-44000000000000000000000000000000000000000000000000000000000000
χ8144-44-444-4-44-44-40000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i2-22-22i−2i2i−2i000000000000000000000000
χ8244-44-444-4-44-44-40000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i-22-22−2i2i−2i2i000000000000000000000000
χ8344-44-444-4-44-44-4000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i2-22-2−2i2i−2i2i000000000000000000000000
χ8444-44-444-4-44-44-4000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i-22-222i−2i2i−2i000000000000000000000000
χ8544-44-444-4-4-44-440000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i2-2-222i−2i−2i2i000000000000000000000000
χ8644-44-444-4-4-44-440000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i-222-2−2i2i2i−2i000000000000000000000000
χ8744-44-444-4-4-44-44000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i2-2-22−2i2i2i−2i000000000000000000000000
χ8844-44-444-4-4-44-44000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i-222-22i−2i−2i2i000000000000000000000000
χ8988-88-8-8-8888-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-88-8-8-888-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-888-8-88000000000000000000000000000000000000000000000000004-4-4400000000000000000000000000000000
χ9288-8-888-8-8800000000000000000000000000000000000000000000000000-444-400000000000000000000000000000000
χ9388-8-88-888-800000000000000000000000000000000000000000000004-4-44000000000000000000000000000000000000
χ9488-8-88-888-80000000000000000000000000000000000000000000000-444-4000000000000000000000000000000000000
χ9532-32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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