Finite Group Databasebeta

← Group #72286251

Character table — Group #72286251

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size11222444444888888888888161616161616161616161616161632323232323232323232323232323232323232323264646464646464646464646464646464
order12222224444222222224444222244444444442224444444444888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ61111111111111111111111111111111-1-111-1-1-11-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111
χ71111111111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111
χ81111111111111111111111111111111-1-1-1-111-1-11-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ911111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-111-1-1
χ1011111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111
χ1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111
χ1211111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-1
χ1311111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-111
χ1411111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1
χ1511111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1
χ1611111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ17222222222222222-2-2-2-2-2-2-2-222-2-222-2-2220000200-2-2000022-2-2000000000000000000000000
χ18222222222222222-2-2-2-2-2-2-2-222-2-222-2-2-2-20000-200220000-2-222000000000000000000000000
χ19222222222222222-2-2-2-2-2-2-2-2-2-222-2-222220000200-2-20000-2-222000000000000000000000000
χ20222222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-20000-20022000022-2-2000000000000000000000000
χ2122222222222-2-2-2-222-2-222-2-200000000220000-2002-200000000000022-2-22-200000000000000
χ2222222222222-2-2-2-222-2-222-2-200000000220000-2002-2000000000000-2-222-2200000000000000
χ2322222222222-2-2-2-222-2-222-2-200000000-2-20000200-2200000000000022-2-2-2200000000000000
χ2422222222222-2-2-2-222-2-222-2-200000000-2-20000200-22000000000000-2-2222-200000000000000
χ2522222222222-2-2-2-2-2-222-2-22200000000220000-200-220000000022-2-20000002-2000000000000
χ2622222222222-2-2-2-2-2-222-2-22200000000220000-200-2200000000-2-222000000-22000000000000
χ2722222222222-2-2-2-2-2-222-2-22200000000-2-200002002-20000000022-2-2000000-22000000000000
χ2822222222222-2-2-2-2-2-222-2-22200000000-2-200002002-200000000-2-2220000002-2000000000000
χ292222222-2-2-2-2-2-2222-22-22-22-2000000000000220020000-2-22-22-20000000000002-20000000000
χ302222222-2-2-2-2-2-2222-22-22-22-2000000000000220020000-2-2-22-22000000000000-220000000000
χ312222222-2-2-2-2-2-2222-22-22-22-2000000000000-2-200-20000222-22-2000000000000-220000000000
χ322222222-2-2-2-2-2-2222-22-22-22-2000000000000-2-200-2000022-22-220000000000002-20000000000
χ332222222-2-2-2-2-2-222-22-22-22-220000000000220002000-2-2002-2-22000000000000002-200000000
χ342222222-2-2-2-2-2-222-22-22-22-220000000000220002000-2-200-222-200000000000000-2200000000
χ352222222-2-2-2-2-2-222-22-22-22-220000000000-2-2000-200022002-2-2200000000000000-2200000000
χ362222222-2-2-2-2-2-222-22-22-22-220000000000-2-2000-20002200-222-2000000000000002-200000000
χ3722222-2-222-2-22-22-22-2-2-2-2222000000000022000-20002-20000002i−2i2i−2i0000000000002i−2i000000
χ3822222-2-222-2-22-22-22-2-2-2-2222000000000022000-20002-2000000−2i2i−2i2i000000000000−2i2i000000
χ3922222-2-222-2-22-22-22-2-2-2-22220000000000-2-20002000-220000002i−2i2i−2i000000000000−2i2i000000
χ4022222-2-222-2-22-22-22-2-2-2-22220000000000-2-20002000-22000000−2i2i−2i2i0000000000002i−2i000000
χ4122222-2-222-2-2-22-22-22-2-22-2220000000000002200-200002-200002i−2i−2i2i00000000000000002i−2i00
χ4222222-2-222-2-2-22-22-22-2-22-2220000000000002200-200002-20000−2i2i2i−2i0000000000000000−2i2i00
χ4322222-2-222-2-2-22-22-22-2-22-222000000000000-2-20020000-2200002i−2i−2i2i0000000000000000−2i2i00
χ4422222-2-222-2-2-22-22-22-2-22-222000000000000-2-20020000-220000−2i2i2i−2i00000000000000002i−2i00
χ4522222-2-2-2-2222-2-22-2-2-22222-20000000000002200-20000-22000000002i−2i2i−2i00000000002i−2i0000
χ4622222-2-2-2-2222-2-22-2-2-22222-20000000000002200-20000-2200000000−2i2i−2i2i0000000000−2i2i0000
χ4722222-2-2-2-2222-2-22-2-2-22222-2000000000000-2-200200002-2000000002i−2i2i−2i0000000000−2i2i0000
χ4822222-2-2-2-2222-2-22-2-2-22222-2000000000000-2-200200002-200000000−2i2i−2i2i00000000002i−2i0000
χ4922222-2-2-2-222-222-2-2-22-222-22000000000022000-2000-2200000000002i−2i−2i2i000000000000002i−2i
χ5022222-2-2-2-222-222-2-2-22-222-22000000000022000-2000-220000000000−2i2i2i−2i00000000000000−2i2i
χ5122222-2-2-2-222-222-2-2-22-222-220000000000-2-200020002-200000000002i−2i−2i2i00000000000000−2i2i
χ5222222-2-2-2-222-222-2-2-22-222-220000000000-2-200020002-20000000000−2i2i2i−2i000000000000002i−2i
χ534444444-4-4-4-444-4-44-4-444-4-44000000000000000000000000000000000000000000000000000
χ544444444-4-4-4-444-4-4-444-4-444-4000000000000000000000000000000000000000000000000000
χ5544444-4-444-4-44-44-4-44444-4-4-4000000000000000000000000000000000000000000000000000
χ5644444-4-444-4-4-44-444-444-44-4-4000000000000000000000000000000000000000000000000000
χ5744444-4-4-4-4444-4-44444-4-4-4-44000000000000000000000000000000000000000000000000000
χ5844444-4-4-4-444-444-444-44-4-44-4000000000000000000000000000000000000000000000000000
χ59888-8-800008-8000000000000004-4004-40000000000000000000000000000000000000000000
χ60888-8-800008-800000000000000-4400-440000000000000000000000000000000000000000000
χ61888-8-80000-880000000000004-4004-4000000000000000000000000000000000000000000000
χ62888-8-80000-88000000000000-4400-44000000000000000000000000000000000000000000000
χ6388-88-8008-800000000000000004-400-440000000000000000000000000000000000000000000
χ6488-88-8008-80000000000000000-44004-40000000000000000000000000000000000000000000
χ6588-88-800-88000000000000004-400-44000000000000000000000000000000000000000000000
χ6688-88-800-8800000000000000-44004-4000000000000000000000000000000000000000000000
χ6788-8-888-80000000000000000004400-4-40000000000000000000000000000000000000000000
χ6888-8-888-8000000000000000000-4-400440000000000000000000000000000000000000000000
χ6988-8-88-8800000000000000004400-4-4000000000000000000000000000000000000000000000
χ7088-8-88-880000000000000000-4-40044000000000000000000000000000000000000000000000
χ7116-16000000000000000000000000000004-44-44-40000000000000000000000000000000000000
χ7216-16000000000000000000000000000004-4-44-440000000000000000000000000000000000000
χ7316-1600000000000000000000000000000-444-4-440000000000000000000000000000000000000
χ7416-1600000000000000000000000000000-44-444-40000000000000000000000000000000000000

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