Finite Group Databasebeta

← Group #72265792

Character table — Group #72265792

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222224444444444444448888888888881616161616161616161616161632323232323232323232323232323232323232323232323232323232646464646464646464646464
order12222222222222222222222222222222222224422222244444444444444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ9111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-11-11111-1-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1ii−i−iii−i−i
χ10111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-11-11111-1-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−i−iii−i−iii
χ11111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-11-11111-1-1-11111-1-1-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii-1-111ii−i−i−i−iii
χ12111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-11-11111-1-1-11111-1-1-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i-1-111−i−iiiii−i−i
χ13111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-111−i−iii−i−iii
χ14111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-111ii−i−iii−i−i
χ15111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1−i−iiiii−i−i
χ16111111111111111111-1-1-1-1-11-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1ii−i−i−i−iii
χ1722222222222222222222222222222-2-2-2-2-2-222-2-2-220000-2-2-2000000000000000022220000-2-2-2-20000000000000000
χ1822222222222222222222222222222-2-2-2-2-2-222-2-2-220000-2-2-20000000000000000-2-2-2-2000022220000000000000000
χ19222222222222222222-2-2-2-2-22-2-2-222-2-2-2-2-2-2-2-222-2-2000022200000000000000002i2i−2i−2i0000−2i−2i2i2i0000000000000000
χ20222222222222222222-2-2-2-2-22-2-2-222-2-2-2-2-2-2-2-222-2-200002220000000000000000−2i−2i2i2i00002i2i−2i−2i0000000000000000
χ2122222222222222-2-2-2-2222222222-2-222-2-222-2-2-2-2-2-2000022-2000000002222-2-2-2-20000000000000000000000000000
χ2222222222222222-2-2-2-2222222222-2-222-2-222-2-2-2-2-2-2000022-200000000-2-2-2-222220000000000000000000000000000
χ2322222222222222-2-2-2-2222222222-2-2-2-222-2-2-2-2222-20000-2-220000000000000000000022220000-2-2-2-2000000000000
χ2422222222222222-2-2-2-2222222222-2-2-2-222-2-2-2-2222-20000-2-2200000000000000000000-2-2-2-200002222000000000000
χ2522222222222222-2-2-2-2-2-2-2-2-22-2-2-2-2-222-2-2222222-220000-2-220000000022-2-2-2-2220000000000000000000000000000
χ2622222222222222-2-2-2-2-2-2-2-2-22-2-2-2-2-222-2-2222222-220000-2-2200000000-2-22222-2-20000000000000000000000000000
χ2722222222222222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-222-2-222-2-222000022-2000000000000000000002i2i−2i−2i0000−2i−2i2i2i000000000000
χ2822222222222222-2-2-2-2-2-2-2-2-22-2-2-2-2-2-2-222-2-222-2-222000022-200000000000000000000−2i−2i2i2i00002i2i−2i−2i000000000000
χ292222222222-2-2-2-222222222-2-2-2-2-2-2-22222-2-2-2-2-2-2-2222222-22-2-2-2-222-2-2000000000000000000000000000000000000
χ302222222222-2-2-2-222222222-2-2-2-2-2-2-22222-2-2-2-2-2-2-22-2-2-2-22-222222-2-222000000000000000000000000000000000000
χ312222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-222-2-222220000-22-20000000000000000000000000000000000002i−2i2i−2i0000
χ322222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-222-2-222220000-22-2000000000000000000000000000000000000−2i2i−2i2i0000
χ332222222222-2-2-2-22222-2-2-2-22-2222-2-22222-2-22222-2-22222-22-2-2-2-2-2-2-222000000000000000000000000000000000000
χ342222222222-2-2-2-22222-2-2-2-22-2222-2-22222-2-22222-2-2-2-2-2-2-22-2222222-2-2000000000000000000000000000000000000
χ352222222222-2-2-2-22222-2-2-2-22-2222-2-2-2-2-2-22222-2-22-200002-220000000000000000000000000000000000002-2-220000
χ362222222222-2-2-2-22222-2-2-2-22-2222-2-2-2-2-2-22222-2-22-200002-22000000000000000000000000000000000000-222-20000
χ372222222222-2-2-2-2-2-2-2-22222-2-2-2-2-22222-2-2-2-222222-200002-2-2000000000000000000000000000000002i−2i2i−2i00000000
χ382222222222-2-2-2-2-2-2-2-22222-2-2-2-2-22222-2-2-2-222222-200002-2-200000000000000000000000000000000−2i2i−2i2i00000000
χ392222222222-2-2-2-2-2-2-2-22222-2-2-2-2-222-2-2222222-2-2-2-20000-22200000000000000000000000000000000000000002i−2i2i−2i
χ402222222222-2-2-2-2-2-2-2-22222-2-2-2-2-222-2-2222222-2-2-2-20000-2220000000000000000000000000000000000000000−2i2i−2i2i
χ412222222222-2-2-2-2-2-2-2-2-2-2-2-22-22222222-2-2-2-2-2-2-2-2220000-222000000000000000000000000000000002i−2i−2i2i00000000
χ422222222222-2-2-2-2-2-2-2-2-2-2-2-22-22222222-2-2-2-2-2-2-2-2220000-22200000000000000000000000000000000−2i2i2i−2i00000000
χ432222222222-2-2-2-2-2-2-2-2-2-2-2-22-222222-2-22222-2-222-2200002-2-200000000000000000000000000000000000000002-2-22
χ442222222222-2-2-2-2-2-2-2-2-2-2-2-22-222222-2-22222-2-222-2200002-2-20000000000000000000000000000000000000000-222-2
χ45444444-4-4-4-444-4-40000000004000004-4004-4000000000000000000000004-400000000000000000000000000000000
χ46444444-4-4-4-444-4-40000000004000004-4004-400000000000000000000000-4400000000000000000000000000000000
χ47444444-4-4-4-444-4-4000000000400000-4400-440000000000000000000004-40000000000000000000000000000000000
χ48444444-4-4-4-444-4-4000000000400000-4400-44000000000000000000000-440000000000000000000000000000000000
χ49444444-4-4-4-4-4-444000000000-4000004-400-440000000000000000000000000004i−4i0000000000000000000000000000
χ50444444-4-4-4-4-4-444000000000-4000004-400-44000000000000000000000000000−4i4i0000000000000000000000000000
χ51444444-4-4-4-4-4-444000000000-400000-44004-400000000000000000000000004i−4i000000000000000000000000000000
χ52444444-4-4-4-4-4-444000000000-400000-44004-40000000000000000000000000−4i4i000000000000000000000000000000
χ534444-4-4-4-444444-4000044-4-44-4-4-440000000000000022-2-200022-2-22-22-2000000000000000000000000000000000000
χ544444-4-4-4-444444-4000044-4-44-4-4-4400000000000000-2-222000-2-222-22-22000000000000000000000000000000000000
χ554444-4-4-4-444444-40000-4-444-4-444-40000000000000022-2-200022-2-2-22-22000000000000000000000000000000000000
χ564444-4-4-4-444444-40000-4-444-4-444-400000000000000-2-222000-2-2222-22-2000000000000000000000000000000000000
χ574444-4-4-4-444-4-4-44000044-4-4-4444-40000000000000022-2-2000-2-2222-2-22000000000000000000000000000000000000
χ584444-4-4-4-444-4-4-44000044-4-4-4444-400000000000000-2-22200022-2-2-222-2000000000000000000000000000000000000
χ594444-4-4-4-444-4-4-440000-4-44444-4-440000000000000022-2-2000-2-222-222-2000000000000000000000000000000000000
χ604444-4-4-4-444-4-4-440000-4-44444-4-4400000000000000-2-22200022-2-22-2-22000000000000000000000000000000000000
χ614-44-44-44-44-4000000000000404-4-400004-400004-400000000000000000000000002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ624-44-44-44-44-4000000000000404-4-400004-400004-40000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ634-44-44-44-44-4000000000000404-4-40000-440000-4400000000000000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ644-44-44-44-44-4000000000000404-4-40000-440000-440000000000000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ654-44-44-44-44-4000000000000-40-44400004-40000-4400000000000000000000000002-2-2200002-2-220000000000000000
χ664-44-44-44-44-4000000000000-40-44400004-40000-440000000000000000000000000-222-20000-222-20000000000000000
χ674-44-44-44-44-4000000000000-40-4440000-4400004-400000000000000000000000002-2-220000-222-20000000000000000
χ684-44-44-44-44-4000000000000-40-4440000-4400004-40000000000000000000000000-222-200002-2-220000000000000000
χ694-44-4-44-444-4000044-4-4000040-44-4000000004-400000000000000000000000000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ704-44-4-44-444-4000044-4-4000040-44-4000000004-40000000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ714-44-4-44-444-4000044-4-40000-404-4400000000-4400000000000000000000000000000002-2-2200002-2-22000000000000
χ724-44-4-44-444-4000044-4-40000-404-4400000000-440000000000000000000000000000000-222-20000-222-2000000000000
χ734-44-4-44-444-40000-4-444000040-44-400000000-4400000000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ744-44-4-44-444-40000-4-444000040-44-400000000-440000000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ754-44-4-44-444-40000-4-4440000-404-44000000004-400000000000000000000000000000002-2-220000-222-2000000000000
χ764-44-4-44-444-40000-4-4440000-404-44000000004-40000000000000000000000000000000-222-200002-2-22000000000000
χ778888-8-888-8-888-88000000000-800000000000000000000000000000000000000000000000000000000000000000000
χ788888-8-888-8-8-8-88-8000000000800000000000000000000000000000000000000000000000000000000000000000000
χ798-88-88-8-88-88000000008-88-80000000000000000000000000000000000000000000000000000000000000000000000
χ808-88-88-8-88-8800000000-88-880000000000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-888-8-88000000008-8-880000000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-888-8-8800000000-888-80000000000000000000000000000000000000000000000000000000000000000000000
χ838-8-880000008-8004-44-40000000004-4000000000000004-4000004-40000000000000000000000000000000000000000
χ848-8-880000008-8004-44-40000000004-400000000000000-4400000-440000000000000000000000000000000000000000
χ858-8-880000008-800-44-44000000000-440000000000004-4000004-4000000000000000000000000000000000000000000
χ868-8-880000008-800-44-44000000000-44000000000000-4400000-44000000000000000000000000000000000000000000
χ878-8-88000000-88004-44-4000000000-44000000000000004-400000-440000000000000000000000000000000000000000
χ888-8-88000000-88004-44-4000000000-4400000000000000-44000004-40000000000000000000000000000000000000000
χ898-8-88000000-8800-44-440000000004-40000000000004-400000-44000000000000000000000000000000000000000000
χ908-8-88000000-8800-44-440000000004-4000000000000-44000004-4000000000000000000000000000000000000000000
χ911616-16-1600000000008-8-8800000000000000000000000000000000000000000000000000000000000000000000000000
χ921616-16-160000000000-888-800000000000000000000000000000000000000000000000000000000000000000000000000

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