Finite Group Databasebeta

← Group #72318414

Character table — Group #72318414

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size11222444444444444888888888161616161616161616161616161616161616161632323232323232323232323232323232323264646464646464646464646464646464
order12222222244444444222222244222222222224444444442444444444888888884444444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
χ511111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111111111111-1-1-1-1111111-1-1-1-1111-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ811111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ9111111-1-11-1-1-1-11111-1-1-11111-1-11-1-111-1-111-1-11-111-1-11-11111-111-1-1-1-111-1-111-1-11-111-1-111-1-11-111-1-1
χ10111111-1-11-1-1-1-11111-1-1-11111-1-11-1-111-1-111-1-11-111-1-11-11-1-11-111-1-111-1-11111-1-1-1111-1-1-1-111-11-1-111
χ11111111-1-11-1-1-1-11111-1-1-11111-1-11-1-111-1-1-1-1111-111-1-11-1111-11-1-111-1-111-1-111-1-11-1-1-111-1-1111-1-1-111
χ12111111-1-11-1-1-1-11111-1-1-11111-1-11-1-111-1-1-1-1111-111-1-11-11-1-1-11-1-11111-1-11111-1-1-11-1-11111-1-1-1111-1-1
χ13111111-1-11-1-1-1-11111-1-1-11111-1-11-1-1-1-11111-1-11-1-1-1111-11111-111-1-1-1-1-1-111-1-111-11-1-11111-1-11-1-1-111
χ14111111-1-11-1-1-1-11111-1-1-11111-1-11-1-1-1-11111-1-11-1-1-1111-11-1-11-111-1-11111-1-1-1-1111-1-1-111-1-111-1111-1-1
χ15111111-1-11-1-1-1-11111-1-1-11111-1-11-1-1-1-111-1-1111-1-1-1111-1111-11-1-111-1-1-1-111-1-111-1111-1-1-1-1111-111-1-1
χ16111111-1-11-1-1-1-11111-1-1-11111-1-11-1-1-1-111-1-1111-1-1-1111-11-1-1-11-1-1111111-1-1-1-1111-111-1-111-1-1-11-1-111
χ17222222222222222222-2-2-2-2-2-222-2-2-200000000-2-20000222000000000022220000-2-200000000000000
χ18222222222222222222-2-2-2-2-2-222-2-2-200000000-2-200002220000000000-2-2-2-200002200000000000000
χ1922222222222-2-2222222222-2-22-2-22-2222200002-22222-2-2-200000000000000-2-2-2-20000000000000000
χ2022222222222-2-2222222222-2-22-2-22-2-2-2-2-200002-2-2-2-2-2-2-2-20000000000000022220000000000000000
χ2122222222222-2-222222-2-2-2-2222-22-2200000000-220000-2-2-22200000022000000000000000000-2-20000
χ2222222222222-2-222222-2-2-2-2222-22-2200000000-220000-2-2-2-2-2000000-2-2000000000000000000220000
χ23222222-2-22-2-2222222-222-2-222-2222-200000000-2-20000-22-222000000-2-2000000000000000000-220000
χ24222222-2-22-2-2222222-222-2-222-2222-200000000-2-20000-22-2-2-2000000220000000000000000002-20000
χ25222222-2-22-2-2222222-2-2-222-2-2-22-2-2222-2-200002222-2-2-22-200000000000000-2-2220000000000000000
χ26222222-2-22-2-2222222-2-2-222-2-2-22-2-22-2-222000022-2-222-22-20000000000000022-2-20000000000000000
χ27222222-2-22-2-2-2-22222-222-2-2-2-2-2-2-22200000000-2200002-22000000000022-2-20000-2200000000000000
χ28222222-2-22-2-2-2-22222-222-2-2-2-2-2-2-22200000000-2200002-220000000000-2-22200002-200000000000000
χ2922222-222-2-2-2222-2-22-222222222-2-2200002222-2-200002-2-200-2-22-22-200000000000000000000000000
χ3022222-222-2-2-2222-2-22-222222222-2-220000-2-2-2-2-2-200002-2-20022-22-2200000000000000000000000000
χ3122222-222-2-2-2222-2-22-2-2-2-2-2-2-22222-2000000002200002-2-20000000000000000000000000000002i−2i2i−2i
χ3222222-222-2-2-2222-2-22-2-2-2-2-2-2-22222-2000000002200002-2-2000000000000000000000000000000−2i2i−2i2i
χ3322222-222-2-2-2-2-22-2-22-22222-2-22-22-2-200000000-220000-222000000000000000000002-22-20000000000
χ3422222-222-2-2-2-2-22-2-22-22222-2-22-22-2-200000000-220000-22200000000000000000000-22-220000000000
χ3522222-222-2-2-2-2-22-2-22-2-2-2-2-2222-2-222000000002-20000-2220000000000000000000000002-22-2000000
χ3622222-222-2-2-2-2-22-2-22-2-2-2-2-2222-2-222000000002-20000-222000000000000000000000000-22-22000000
χ3722222-2-2-2-222222-2-22222-2-222-22-2-2-200000000220000-2-220000000000000000000000002-2-22000000
χ3822222-2-2-2-222222-2-22222-2-222-22-2-2-200000000220000-2-22000000000000000000000000-222-2000000
χ3922222-2-2-2-222222-2-222-2-222-2-2-2222200000000-2-20000-2-22000000000000000000002-2-220000000000
χ4022222-2-2-2-222222-2-222-2-222-2-2-2222200000000-2-20000-2-2200000000000000000000-222-20000000000
χ4122222-2-2-2-222-2-22-2-22222-2-2-2-2-2-22-22000000002-2000022-20000000000000000000000000000002i−2i−2i2i
χ4222222-2-2-2-222-2-22-2-22222-2-2-2-2-2-22-22000000002-2000022-2000000000000000000000000000000−2i2i2i−2i
χ4322222-2-2-2-222-2-22-2-222-2-22222-2-2-22-2000022-2-2-22000022-200-222-2-2200000000000000000000000000
χ4422222-2-2-2-222-2-22-2-222-2-22222-2-2-22-20000-2-222-22000022-2002-2-222-200000000000000000000000000
χ454444444444400-4-4-4-4-4000000-400000000222200000000000-2-2-22-2200000000000000000000000000
χ464444444444400-4-4-4-4-4000000-400000000-2-2-2-200000000000222-22-200000000000000000000000000
χ47444444-4-44-4-400-4-4-4-4400000040000000022-2-200000000000-22-222-200000000000000000000000000
χ48444444-4-44-4-400-4-4-4-44000000400000000-2-222000000000002-22-2-2200000000000000000000000000
χ4944444-444-4-4-400-444-44000000-40000000022220000000000022-2-2-2-200000000000000000000000000
χ5044444-444-4-4-400-444-44000000-400000000-2-2-2-200000000000-2-2222200000000000000000000000000
χ5144444-4-4-4-44400-444-4-400000040000000022-2-2000000000002-2-2-22200000000000000000000000000
χ5244444-4-4-4-44400-444-4-4000000400000000-2-22200000000000-2222-2-200000000000000000000000000
χ5344-44-400000044-400404-4004-40-40002-22-20000002-22-2000000000000000002-22-20000000000000000
χ5444-44-400000044-400404-4004-40-4000-22-22000000-22-2200000000000000000-22-220000000000000000
χ5544-44-400000044-40040-4400-440-40002-2-220000002-2-2200000000000000000-222-20000000000000000
χ5644-44-400000044-40040-4400-440-4000-222-2000000-222-2000000000000000002-2-220000000000000000
χ5744-44-4000000-4-4-400404-400-44040002-22-20000002-22-200000000000000000-22-220000000000000000
χ5844-44-4000000-4-4-400404-400-4404000-22-22000000-22-22000000000000000002-22-20000000000000000
χ5944-44-4000000-4-4-40040-44004-4040002-2-220000002-2-22000000000000000002-2-220000000000000000
χ6044-44-4000000-4-4-40040-44004-404000-222-2000000-222-200000000000000000-222-20000000000000000
χ6144-4-44-44-444-40000000000000000002-22-2000000-22-220002-20000002-22-22-200000000000000000000
χ6244-4-44-44-444-40000000000000000002-22-2000000-22-22000-22000000-22-22-2200000000000000000000
χ6344-4-44-44-444-4000000000000000000-22-220000002-22-20002-20000002-2-22-2200000000000000000000
χ6444-4-44-44-444-4000000000000000000-22-220000002-22-2000-22000000-222-22-200000000000000000000
χ6544-4-44-4-444-440000000000000000002-2-22000000-222-20002-2000000-222-2-2200000000000000000000
χ6644-4-44-4-444-440000000000000000002-2-22000000-222-2000-220000002-2-222-200000000000000000000
χ6744-4-44-4-444-44000000000000000000-222-20000002-2-220002-2000000-22-222-200000000000000000000
χ6844-4-44-4-444-44000000000000000000-222-20000002-2-22000-220000002-22-2-2200000000000000000000
χ69888-8-80000000008-80000000000000004400000000-4-40000000000000000000000000000000000000
χ70888-8-80000000008-8000000000000000-4-400000000440000000000000000000000000000000000000
χ71888-8-8000000000-8800000000000004400000000-4-4000000000000000000000000000000000000000
χ72888-8-8000000000-880000000000000-4-40000000044000000000000000000000000000000000000000
χ7388-88-800000000800-80008-80000000000000000000000000000000000000000000000000000000000
χ7488-88-800000000800-8000-880000000000000000000000000000000000000000000000000000000000
χ7588-8-8888-8-8-88000000000000000000000000000000000000000000000000000000000000000000000
χ7688-8-888-88-88-8000000000000000000000000000000000000000000000000000000000000000000000
χ7716-160000000008-8000000000000000000004-44-40000000000000000000000000000000000000000000
χ7816-160000000008-800000000000000000000-44-440000000000000000000000000000000000000000000
χ7916-16000000000-88000000000000000000004-4-440000000000000000000000000000000000000000000
χ8016-16000000000-8800000000000000000000-444-40000000000000000000000000000000000000000000

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