Finite Group Databasebeta

← Group #72318297

Character table — Group #72318297

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77
size112224444444444888888888816161616161616161616161616161616323232323232323232323232323232323232323264646464646464646464646464646464
order12222222244444422222444442222222244444444224444444444888888884444444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-11-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-11-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111
χ51111111111111111111111111111-1-1-1-1111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1111-1-1-1-1111-11-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1111-1-1-1-111-11-11-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111
χ911111-1-111-1-11111-1-1-111-1-1-1111-1-111-1-111-111-1-11-111-1111-1-11-1-1-111-1-111-1-11-111-1-111-1-11-111-1-1
χ1011111-1-111-1-11111-1-1-111-1-1-1111-1-111-1-111-111-1-11-11-1-1-111-1-11-11111-1-1-1-111-1111-1-1-1-111-11-1-111
χ1111111-1-111-1-11111-1-1-111-1-1-1111-1-111-1-111-111-1-11-1-1111-1-111-11-1-111-1-111-1-11-1-1-111-1-1111-1-1-111
χ1211111-1-111-1-11111-1-1-111-1-1-1111-1-111-1-111-111-1-11-1-1-11-1-1-111-111111-1-1-1-111-11-1-11111-1-1-1111-1-1
χ1311111-1-111-1-11111-1-1-111-1-1-1111-1-1-1-11111-1-1-1111-111-1111-1-11-1-1-1-1-11111-1-1-11-1-111-1-111-1111-1-1
χ1411111-1-111-1-11111-1-1-111-1-1-1111-1-1-1-11111-1-1-1111-11-1-1-111-1-11-111-1-111-1-1111-1-1-11111-1-11-1-1-111
χ1511111-1-111-1-11111-1-1-111-1-1-1111-1-1-1-11111-1-1-1111-1-1111-1-111-11-1-1-1-11111-1-1-1111-1-111-1-1-11-1-111
χ1611111-1-111-1-11111-1-1-111-1-1-1111-1-1-1-11111-1-1-1111-1-1-11-1-1-111-1111-1-111-1-1111-111-1-1-1-1111-111-1-1
χ17222222222222222222222-2-2-2-2-22-22222-22-22222-2-2000000000000-2-2-2-200000000000000000000
χ18222222222222222222222-2-2-2-2-22-2-2-2-2-2-22-2-2-2-2-2-2-2000000000000222200000000000000000000
χ192222222222222222-2-2-2-222222-2-2-20000-2-2-20000220202000000220000-2-2-2-20000000000000000
χ202222222222222222-2-2-2-222222-2-2-20000-2-2-20000220-20-2000000-2-2000022220000000000000000
χ212222222222222222-2-2-2-22-2-2-2-22-2200002-220000-2-2000000000000000000002200000000-2-20000
χ222222222222222222-2-2-2-22-2-2-2-22-2200002-220000-2-200000000000000000000-2-200000000220000
χ232222222-2-222-2-222-22222-222222-220000-2-2-20000-2-22020-2-2-2-22200000000000000000000000000
χ242222222-2-222-2-222-22222-222222-220000-2-2-20000-2-2-20-202222-2-200000000000000000000000000
χ252222222-2-222-2-222-22222-2-2-2-2-2-2-2-200002-2200002200000000000000000000002-22-20000000000
χ262222222-2-222-2-222-22222-2-2-2-2-2-2-2-200002-220000220000000000000000000000-22-220000000000
χ272222222-2-222-2-222-2-2-2-2-2-22222-22-200002220000-2-2000000000000000000000000000000002-22-2
χ282222222-2-222-2-222-2-2-2-2-2-22222-22-200002220000-2-200000000000000000000000000000000-22-22
χ292222222-2-222-2-222-2-2-2-2-2-2-2-2-2-22220000-22-2000022000000000000000000000000002i−2i2i−2i000000
χ302222222-2-222-2-222-2-2-2-2-2-2-2-2-2-22220000-22-200002200000000000000000000000000−2i2i−2i2i000000
χ3122222-2-222-2-22222-222-2-2-222-2-222-200002-2-20000-22000000000000000000002-200000000-220000
χ3222222-2-222-2-22222-222-2-2-222-2-222-200002-2-20000-2200000000000000000000-22000000002-20000
χ3322222-2-222-2-22222-222-2-2-2-2-222-2220000-2-2200002-20202000000-2-20000-2-2220000000000000000
χ3422222-2-222-2-22222-222-2-2-2-2-222-2220000-2-2200002-20-20-200000022000022-2-20000000000000000
χ3522222-2-222-2-22222-2-2-222-222-2-2-2-2222-2-2-22222-2-2-22000000000000-2-22200000000000000000000
χ3622222-2-222-2-22222-2-2-222-222-2-2-2-22-2-222-222-2-222-2200000000000022-2-200000000000000000000
χ3722222-2-2-2-2-2-2-2-222222-2-2222-2-22-2-20000-22200002-2000000000000000000000000002i−2i−2i2i000000
χ3822222-2-2-2-2-2-2-2-222222-2-2222-2-22-2-20000-22200002-200000000000000000000000000−2i2i2i−2i000000
χ3922222-2-2-2-2-2-2-2-222222-2-22-2-222-2-22000022-20000-22000000000000000000000000000000002-2-22
χ4022222-2-2-2-2-2-2-2-222222-2-22-2-222-2-22000022-20000-2200000000000000000000000000000000-222-2
χ4122222-2-2-2-2-2-2-2-2222-2-222222-2-2-22200002-2-200002-200000000000000000000002-2-220000000000
χ4222222-2-2-2-2-2-2-2-2222-2-222222-2-2-22200002-2-200002-20000000000000000000000-222-20000000000
χ4322222-2-2-2-2-2-2-2-2222-2-2222-2-22222-20000-2-220000-2220-20-2-2222-200000000000000000000000000
χ4422222-2-2-2-2-2-2-2-2222-2-2222-2-22222-20000-2-220000-22-202022-2-2-2200000000000000000000000000
χ45444444444-4-4-4-4-4-4-4000040000000000000000000020202-22-2-2-200000000000000000000000000
χ46444444444-4-4-4-4-4-4-40000400000000000000000000-20-20-22-222200000000000000000000000000
χ474444444-4-4-4-444-4-440000-4000000000000000000002020-22-22-2-200000000000000000000000000
χ484444444-4-4-4-444-4-440000-400000000000000000000-20-202-22-22200000000000000000000000000
χ4944444-4-44444-4-4-4-440000-40000000000000000000020-202-2-22-2200000000000000000000000000
χ5044444-4-44444-4-4-4-440000-400000000000000000000-2020-222-22-200000000000000000000000000
χ5144444-4-4-4-44444-4-4-4000040000000000000000000020-20-222-2-2200000000000000000000000000
χ5244444-4-4-4-44444-4-4-40000400000000000000000000-20202-2-222-200000000000000000000000000
χ5344-4-444-4004-4004-40000004-44-40002-22-20002-22-2000000000000002-22-200000000000000000000
χ5444-4-444-4004-4004-40000004-44-4000-22-22000-22-2200000000000000-22-2200000000000000000000
χ5544-4-444-4004-4004-4000000-44-440002-22-20002-22-200000000000000-22-2200000000000000000000
χ5644-4-444-4004-4004-4000000-44-44000-22-22000-22-22000000000000002-22-200000000000000000000
χ5744-4-444-400-4400-4404-44-4000000000000000000000020-20000002-200002-22-20000000000000000
χ5844-4-444-400-4400-4404-44-40000000000000000000000-202000000-220000-22-220000000000000000
χ5944-4-444-400-4400-440-44-44000000000000000000000020-20000002-20000-22-220000000000000000
χ6044-4-444-400-4400-440-44-440000000000000000000000-202000000-2200002-22-20000000000000000
χ6144-4-44-44004-400-4404-4-44000000000000000000000020-2000000-220000-222-20000000000000000
χ6244-4-44-44004-400-4404-4-440000000000000000000000-2020000002-200002-2-220000000000000000
χ6344-4-44-44004-400-440-444-4000000000000000000000020-2000000-2200002-2-220000000000000000
χ6444-4-44-44004-400-440-444-40000000000000000000000-2020000002-20000-222-20000000000000000
χ6544-4-44-4400-44004-40000004-4-440002-2-220002-2-2200000000000000-222-200000000000000000000
χ6644-4-44-4400-44004-40000004-4-44000-222-2000-222-2000000000000002-2-2200000000000000000000
χ6744-4-44-4400-44004-4000000-444-40002-2-220002-2-22000000000000002-2-2200000000000000000000
χ6844-4-44-4400-44004-4000000-444-4000-222-2000-222-200000000000000-222-200000000000000000000
χ69888-8-80000008-8000000000000000004400000-4-400000000000000000000000000000000000000
χ70888-8-80000008-800000000000000000-4-4000004400000000000000000000000000000000000000
χ71888-8-8000000-880000000000000004400000-4-40000000000000000000000000000000000000000
χ72888-8-8000000-88000000000000000-4-400000440000000000000000000000000000000000000000
χ7388-88-8008-80000000000000000000004-400000-4400000000000000000000000000000000000000
χ7488-88-8008-8000000000000000000000-44000004-400000000000000000000000000000000000000
χ7588-88-800-8800000000000000000004-400000-440000000000000000000000000000000000000000
χ7688-88-800-880000000000000000000-44000004-40000000000000000000000000000000000000000
χ7732-32000000000000000000000000000000000000000000000000000000000000000000000000000

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