Finite Group Databasebeta

← Group #72323238

Character table — Group #72323238

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97
size1122244444444888888888161616161616161616161616161616161632323232323232323232323232323232323232323232323264646464646464646464646464646464646464646464128128128128128128128128128128128128
order1222222222222222222222222222244444444442222224444444444444444444444444444444444444444444444888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111-1-11111-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111-1-11111-1-1111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ911111-1-1-1-11111-1-11111111111-1-1-11-1-1-1-1-1-1-11111-11-1111-11-11-11-111-1-111-1-111-11-1-111-1-11-111-1-11111-1-1-1-111-1-11-11-111-1-1
χ1011111-1-1-1-11111-1-11111111111-1-1-11-1-1-1-1-1-1-11111-11-1-1-11-11-11-11-111-1-111-1-1-1-11-11111-1-1-1111-1-1-1-1-1-11111-1-1111-11-1-1-111
χ1111111-1-1-1-11111-1-11111111111-1-1-11-1-1-1-1-1-1-11111-1-11111-1-111-11-111-1-1-1-11111-11-1-111-1-11-1-1-111-1-1-1-11111-1-111-11-1111-1-1
χ1211111-1-1-1-11111-1-11111111111-1-1-11-1-1-1-1-1-1-11111-1-11-1-11-1-111-11-111-1-1-1-111-1-11-11111-1-1-11-1-1111111-1-1-1-111-1-1-11-11-1-111
χ1311111-1-1-1-11111-1-11111111111-1-1-11-1-1-1-1-1-1-1111-111-111-111-11-11-1-1-11111-1-111-11-1-1-1-1111-111-1-1-1-1-1-1111111-1-1-11-11-1-111
χ1411111-1-1-1-11111-1-11111111111-1-1-11-1-1-1-1-1-1-1111-111-1-1-1-111-11-11-1-1-11111-1-1-1-11-111-1-111-1111-1-11111-1-1-1-1-1-111-11-1111-1-1
χ1511111-1-1-1-11111-1-11111111111-1-1-11-1-1-1-1-1-1-1111-11-1111-11-111-11-1-1-111-1-11111-11-1-1-1-1111-1-1-1111111-1-1-1-1-1-1111-11-1-1-111
χ1611111-1-1-1-11111-1-11111111111-1-1-11-1-1-1-1-1-1-1111-11-11-1-1-11-111-11-1-1-111-1-111-1-11-111-1-111-11-1-111-1-1-1-1111111-1-11-11-111-1-1
χ17222222222222222222222222222-2-22222-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000002-22-200000000
χ18222222222222222222222222222-2-22222-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000-22-2200000000
χ1922222222222222222222-2-2-2-2-2-2-22222-2-22-2-22-2-20022000022-2-22200002222000000000000-2-2-2-200000000000000000000
χ2022222222222222222222-2-2-2-2-2-2-22222-2-22-2-22-2-200-2-20000-2-2-2-2220000-2-2-2-2000000000000222200000000000000000000
χ2122222222222222222222-2-2-2-2-2-2-2-2-222-2-2-222-222000022000022-2-200000000-2-2222-20000-2-2000000000000000000000000
χ2222222222222222222222-2-2-2-2-2-2-2-2-222-2-2-222-2220000-2-2000022-2-20000000022-2-2-22000022000000000000000000000000
χ23222222222222222-2-2-2-22222-2-22222-2-2-2-22-2-22-2-2000000000022-2-200000000000000000000000000000000000022-2-20000
χ24222222222222222-2-2-2-22222-2-22222-2-2-2-22-2-22-2-2000000000022-2-2000000000000000000000000000000000000-2-2220000
χ25222222222222222-2-2-2-22222-2-222-2-2-2-2-2-2-222-2220000000000-2-22200000000000000000000000000000000000000002-22-2
χ26222222222222222-2-2-2-22222-2-222-2-2-2-2-2-2-222-2220000000000-2-2220000000000000000000000000000000000000000-22-22
χ27222222222222222-2-2-2-22-2-2-222-2-222-2-2222222222200002200-2-2-2-222220000000000-2-2-2-200000000000000000000000000
χ28222222222222222-2-2-2-22-2-2-222-2-222-2-222222222-2-20000-2-200-2-2-2-2-2-2-2-20000000000222200000000000000000000000000
χ29222222222222222-2-2-2-22-2-2-222-2-2-2-2-2-222-2-2-2-2-2-2000000000022220000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ30222222222222222-2-2-2-22-2-2-222-2-2-2-2-2-222-2-2-2-2-2-200000000002222000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ3122222-2-2-2-22222-2-22222222222-2-22-2-2-2-2-2222-2-2-20000000000-22-22000000000000000000000000000000002-2-2200000000
χ3222222-2-2-2-22222-2-22222222222-2-22-2-2-2-2-2222-2-2-20000000000-22-2200000000000000000000000000000000-222-200000000
χ3322222-2-2-2-22222-2-222222-2-2-2-2-2222-2-2-2222-2-2-22200002200002-2-2200000000-2-2-22-220000-22000000000000000000000000
χ3422222-2-2-2-22222-2-222222-2-2-2-2-2222-2-2-2222-2-2-2220000-2-200002-2-2200000000222-22-200002-2000000000000000000000000
χ3522222-2-2-2-22222-2-222222-2-2-2-2-222-22-2-222-2222-2-2002-200002-2-222-2000022-2-2000000000000-2-22200000000000000000000
χ3622222-2-2-2-22222-2-222222-2-2-2-2-222-22-2-222-2222-2-200-220000-22-222-20000-2-22200000000000022-2-200000000000000000000
χ3722222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-22-222222-2-2-2220000000000-222-200000000000000000000000000000000000000002-2-22
χ3822222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-22-222222-2-2-2220000000000-222-20000000000000000000000000000000000000000-222-2
χ3922222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-222222-2222-2-200000000002-2-220000000000000000000000000000000000002-2-220000
χ4022222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2-222222-2222-2-200000000002-2-22000000000000000000000000000000000000-222-20000
χ4122222-2-2-2-22222-2-2-2-2-2-22-2-2-222222-222-2-2222-2-2-200000000002-22-20000000000000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ4222222-2-2-2-22222-2-2-2-2-2-22-2-2-222222-222-2-2222-2-2-200000000002-22-2000000000000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ4322222-2-2-2-22222-2-2-2-2-2-22-2-2-22222-2222-2-2-2-2-22222-200002-200-22-2222-2-20000000000-2-22200000000000000000000000000
χ4422222-2-2-2-22222-2-2-2-2-2-22-2-2-22222-2222-2-2-2-2-2222-220000-2200-22-22-2-222000000000022-2-200000000000000000000000000
χ45444444444-4-4-4-4-4-400004000000000000004-404-4002200002200000000-2-2-2-20000000000002-22-200000000000000000000
χ46444444444-4-4-4-4-4-400004000000000000004-404-400-2-20000-2-2000000002222000000000000-22-2200000000000000000000
χ47444444444-4-4-4-4-4-40000400000000000000-440-44002200002200000000-2-2-2-2000000000000-22-2200000000000000000000
χ48444444444-4-4-4-4-4-40000400000000000000-440-4400-2-20000-2-20000000022220000000000002-22-200000000000000000000
χ494444444-4-44-4-444-40000-40000000440000-400-4000000220000000000000000222-2-2-20000-22000000000000000000000000
χ504444444-4-44-4-444-40000-40000000440000-400-4000000-2-20000000000000000-2-2-222200002-2000000000000000000000000
χ514444444-4-44-4-444-40000-40000000-4-400004004000000220000000000000000-2-22-2-2200002-2000000000000000000000000
χ524444444-4-44-4-444-40000-40000000-4-400004004000000-2-2000000000000000022-222-20000-22000000000000000000000000
χ534444444-4-4-444-4-4444-4-4-40000000004-40000000022000022000000-2-2-2-200000000002-22-200000000000000000000000000
χ544444444-4-4-444-4-4444-4-4-40000000004-400000000-2-20000-2-200000022220000000000-22-2200000000000000000000000000
χ554444444-4-4-444-4-44-4-444-4000000000-440000000022000022000000-2-2-2-20000000000-22-2200000000000000000000000000
χ564444444-4-4-444-4-44-4-444-4000000000-4400000000-2-20000-2-2000000222200000000002-22-200000000000000000000000000
χ5744444-4-4444-4-44-440000-400000004-40000-4004000000220000000000000000-2-2-2-22-2000022000000000000000000000000
χ5844444-4-4444-4-44-440000-400000004-40000-4004000000-2-200000000000000002222-220000-2-2000000000000000000000000
χ5944444-4-4444-4-44-440000-40000000-440000400-400000022000000000000000022-2-2220000-2-2000000000000000000000000
χ6044444-4-4444-4-44-440000-40000000-440000400-4000000-2-20000000000000000-2-222-2-2000022000000000000000000000000
χ6144444-4-444-444-44-444-4-4-4000000000-44000000002-200002-2000000-2-22200000000002-2-2200000000000000000000000000
χ6244444-4-444-444-44-444-4-4-4000000000-4400000000-220000-2200000022-2-20000000000-222-200000000000000000000000000
χ6344444-4-444-444-44-4-4-444-40000000004-4000000002-200002-2000000-2-2220000000000-222-200000000000000000000000000
χ6444444-4-444-444-44-4-4-444-40000000004-400000000-220000-2200000022-2-200000000002-2-2200000000000000000000000000
χ6544444-4-4-4-4-4-4-4-44400004000000000000004-40-44002-200002-200000000-2-222000000000000-222-200000000000000000000
χ6644444-4-4-4-4-4-4-4-44400004000000000000004-40-4400-220000-220000000022-2-20000000000002-2-2200000000000000000000
χ6744444-4-4-4-4-4-4-4-4440000400000000000000-4404-4002-200002-200000000-2-2220000000000002-2-2200000000000000000000
χ6844444-4-4-4-4-4-4-4-4440000400000000000000-4404-400-220000-220000000022-2-2000000000000-222-200000000000000000000
χ69888-8-88-8000000000000044-4004-4000000000000000000000000000000000000000000000000002-22-22-22-2000000000000
χ70888-8-88-8000000000000044-4004-400000000000000000000000000000000000000000000000000-22-22-22-22000000000000
χ71888-8-88-80000000000000-4-4400-44000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ72888-8-88-80000000000000-4-4400-4400000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ73888-8-8-88000000000000044-400-44000000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ74888-8-8-88000000000000044-400-4400000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ75888-8-8-880000000000000-4-44004-4000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ76888-8-8-880000000000000-4-44004-400000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ7788-88-8000008-8000008-800000000000000000000000400000-400000000004-4000000000000000000000000000000000000
χ7888-88-8000008-8000008-800000000000000000000000-40000040000000000-44000000000000000000000000000000000000
χ7988-88-8000008-800000-880000000000000000000000400000-40000000004-400000000000000000000000000000000000000
χ8088-88-8000008-800000-880000000000000000000000-4000004000000000-4400000000000000000000000000000000000000
χ8188-88-800000-880008-80000000000000000000000000400000-40000000000-44000000000000000000000000000000000000
χ8288-88-800000-880008-80000000000000000000000000-400000400000000004-4000000000000000000000000000000000000
χ8388-88-800000-88000-88000000000000000000000000400000-4000000000-4400000000000000000000000000000000000000
χ8488-88-800000-88000-88000000000000000000000000-40000040000000004-400000000000000000000000000000000000000
χ8588-8-88008-8000000000000004-40000004-40000000400000-40000004-4000000000000000000000000000000000000000000
χ8688-8-88008-8000000000000004-40000004-40000000-4000004000000-44000000000000000000000000000000000000000000
χ8788-8-88008-800000000000000-44000000-44000000400000-40000000004-40000000000000000000000000000000000000000
χ8888-8-88008-800000000000000-44000000-44000000-4000004000000000-440000000000000000000000000000000000000000
χ8988-8-8800-88000000000000004-4000000-440000000400000-4000000-44000000000000000000000000000000000000000000
χ9088-8-8800-88000000000000004-4000000-440000000-40000040000004-4000000000000000000000000000000000000000000
χ9188-8-8800-8800000000000000-440000004-4000000400000-4000000000-440000000000000000000000000000000000000000
χ9288-8-8800-8800000000000000-440000004-4000000-40000040000000004-40000000000000000000000000000000000000000
χ9316-160000000-800800000008-80000000000000000000004-400000000000000004-40000000000000000000000000000000000
χ9416-160000000-800800000008-8000000000000000000000-440000000000000000-440000000000000000000000000000000000
χ9516-160000000-80080000000-880000000000000000000004-40000000000000000-440000000000000000000000000000000000
χ9616-160000000-80080000000-88000000000000000000000-4400000000000000004-40000000000000000000000000000000000
χ9732-3200000001600-16000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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