Finite Group Databasebeta

← Group #11781007

Character table — Group #11781007

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888161616161616161616181818183636363636367272144
order1222333344446666666666662244412121212121212121212121212121212666666668812121212121212121212121224242424242424242424242424242424412121212121212128888888888884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1
χ411111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1
χ6111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ7111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11
χ8111111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111111-1
χ9222222222-22-222222222222222-2-2-2-2-2-2-2-2-2-2-2222222222222222200-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000
χ10222222222-22-2222222222222-2-222-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-200-2-2-2-22222222200000000000000000000000000000000000000
χ1122222222-22-222222222222220000-222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000002222-2-20000000
χ1222222222-22-222222222222220000-222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000000000000000000000000-2-2-2-2220000000
χ1322222222-2-2-2-222222222222200002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000022220000000000000000000000000000000000000002i2i−2i−2i000
χ1422222222-2-2-2-222222222222200002-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000002222000000000000000000000000000000000000000−2i−2i2i2i000
χ1522222-1-1-122222-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000000000
χ1622222-1-1-122222-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1-2-22-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-21111110000000000000
χ1722222-1-1-122222-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111222-1-1-1-2-21111112222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111110000000000000
χ1822222-1-1-122222-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-1-1-12-1-1-12-1-1-1-2-2111111-2-22-1-1-1-2-2111111-2-2-2-2111111111111222-1-1-1-1-1-10000000000000
χ1922222-1-1-12-22-22-1-1-12-1-1-12-1-1-122-2-2-2-2-21111112-1-1-12-1-1-122-1-1-1-1-1-100-2111-2-21111110000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000−i3−i3−i3i3i3i30000000000000
χ2022222-1-1-12-22-22-1-1-12-1-1-12-1-1-122-2-2-2-2-21111112-1-1-12-1-1-122-1-1-1-1-1-100-2111-2-21111110000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000i3i3i3−i3−i3−i30000000000000
χ2122222-1-1-12-22-22-1-1-12-1-1-12-1-1-1-2-222-2-2-21111112-1-1-12-1-1-1-2-211111100-211122-1-1-1-1-1-10000−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3000i3i3i3−i3−i3−i30000000000000
χ2222222-1-1-12-22-22-1-1-12-1-1-12-1-1-1-2-222-2-2-21111112-1-1-12-1-1-1-2-211111100-211122-1-1-1-1-1-10000i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3000−i3−i3−i3i3i3i30000000000000
χ232222-12-1-12222-12-1-1-12-1-1-12-1-122222-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12-1-12-1-12-1-10000000000000
χ242222-12-1-12222-12-1-1-12-1-1-12-1-122222-1-122-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-2-2-12-1-1-1-122-1-1-1-11111-2-21111-2-21111-211-211-2110000000000000
χ252222-12-1-12222-12-1-1-12-1-1-12-1-1-2-2-2-22-1-122-1-1-1-1-12-1-1-12-1-111-2-2111122-12-1-111-2-21111-1-1-1-122-1-1-1-122-1-1-1-1-211-211-2110000000000000
χ262222-12-1-12222-12-1-1-12-1-1-12-1-1-2-2-2-22-1-122-1-1-1-1-12-1-1-12-1-111-2-21111-2-2-12-1-111-2-211111111-2-21111-2-211112-1-12-1-12-1-10000000000000
χ272222-12-1-12-22-2-12-1-1-12-1-1-12-1-122-2-2-211-2-21111-12-1-1-12-1-1-1-122-1-1-1-1001-21111-2-21111−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30−i3i30−i3i30−i3i30000000000000
χ282222-12-1-12-22-2-12-1-1-12-1-1-12-1-122-2-2-211-2-21111-12-1-1-12-1-1-1-122-1-1-1-1001-21111-2-21111i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30i3−i30i3−i30i3−i30000000000000
χ292222-12-1-12-22-2-12-1-1-12-1-1-12-1-1-2-222-211-2-21111-12-1-1-12-1-111-2-21111001-211-1-122-1-1-1-1−i3−i3i3i300−i3−i3i3i300−i3−i3i3i30i3−i30i3−i30i3−i30000000000000
χ302222-12-1-12-22-2-12-1-1-12-1-1-12-1-1-2-222-211-2-21111-12-1-1-12-1-111-2-21111001-211-1-122-1-1-1-1i3i3−i3−i300i3i3−i3−i300i3i3−i3−i30−i3i30−i3i30−i3i30000000000000
χ312222-1-12-12222-1-12-1-1-12-1-1-12-122222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-122-1-12-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1222-1-1-12-1-1-120000000000000
χ322222-1-12-12222-1-12-1-1-12-1-1-12-122222-1-1-1-122-1-1-1-12-1-1-12-1-1-1-1-122-1-1-2-2-1-12-1-1-1-1-122-1-1111111-2-2111111-2-2-2111-2111-20000000000000
χ332222-1-12-12222-1-12-1-1-12-1-1-12-1-2-2-2-22-1-1-1-122-1-1-1-12-1-1-12-11111-2-21122-1-12-11111-2-211-1-1-1-1-1-122-1-1-1-1-1-122-2111-2111-20000000000000
χ342222-1-12-12222-1-12-1-1-12-1-1-12-1-2-2-2-22-1-1-1-122-1-1-1-12-1-1-12-11111-2-211-2-2-1-12-11111-2-211111111-2-2111111-2-22-1-1-12-1-1-120000000000000
χ352222-1-12-12-22-2-1-12-1-1-12-1-1-12-122-2-2-21111-2-211-1-12-1-1-12-1-1-1-1-122-1-10011-211111-2-211−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000−i3i3i30−i3−i3i300000000000000
χ362222-1-12-12-22-2-1-12-1-1-12-1-1-12-122-2-2-21111-2-211-1-12-1-1-12-1-1-1-1-122-1-10011-211111-2-211i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000i3−i3−i30i3i3−i300000000000000
χ372222-1-12-12-22-2-1-12-1-1-12-1-1-12-1-2-222-21111-2-211-1-12-1-1-12-11111-2-2110011-21-1-1-1-122-1-1−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3000i3−i3−i30i3i3−i300000000000000
χ382222-1-12-12-22-2-1-12-1-1-12-1-1-12-1-2-222-21111-2-211-1-12-1-1-12-11111-2-2110011-21-1-1-1-122-1-1i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3000−i3i3i30−i3−i3i300000000000000
χ392222-1-1-122222-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-122-1-12-1-1-1-12-12-10000000000000
χ402222-1-1-122222-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-12-1-1-12-1-1-1-1-1-122-2-2-1-1-12-1-1-1-1-1-12211111111-2-211-2-211-21111-21-210000000000000
χ412222-1-1-122222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-1-1-1-122-1-1-12-1-1-12111111-2-222-1-1-12111111-2-2-1-1-1-1-1-1-1-122-1-122-1-1-21111-21-210000000000000
χ422222-1-1-122222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-1-1-1-122-1-1-12-1-1-12111111-2-2-2-2-1-1-12111111-2-211111111-2-211-2-2112-1-1-1-12-12-10000000000000
χ432222-1-1-122-22-2-1-1-12-1-1-12-1-1-1222-2-2-2111111-2-2-1-1-12-1-1-12-1-1-1-1-1-12200111-2111111-2-2−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30−i3i3−i3i30i30−i30000000000000
χ442222-1-1-122-22-2-1-1-12-1-1-12-1-1-1222-2-2-2111111-2-2-1-1-12-1-1-12-1-1-1-1-1-12200111-2111111-2-2i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30i3−i3i3−i30−i30i30000000000000
χ452222-1-1-122-22-2-1-1-12-1-1-12-1-1-12-2-222-2111111-2-2-1-1-12-1-1-12111111-2-200111-2-1-1-1-1-1-122−i3−i3i3i3−i3−i3i3i300i3i300−i3−i30i3−i3i3−i30−i30i30000000000000
χ462222-1-1-122-22-2-1-1-12-1-1-12-1-1-12-2-222-2111111-2-2-1-1-12-1-1-12111111-2-200111-2-1-1-1-1-1-122i3i3−i3−i3i3i3−i3−i300−i3−i300i3i30−i3i3−i3i30i30−i30000000000000
χ4722-2-222220-202-2-2-2-22222-2-2-2-2000002-22-22-22-20000000000000000−i2i2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000022-2-2000000−i2i20
χ4822-2-222220-202-2-2-2-22222-2-2-2-2000002-22-22-22-20000000000000000−i2i2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000-2-222000000i2−i20
χ4922-2-222220-202-2-2-2-22222-2-2-2-2000002-22-22-22-20000000000000000i2−i2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000022-2-2000000i2−i20
χ5022-2-222220-202-2-2-2-22222-2-2-2-2000002-22-22-22-20000000000000000i2−i2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000-2-222000000−i2i20
χ512-22-2222220-20-2-2-2-2-2-2-2-222222-200000000000-2-2-2-222222-22-22-22-2000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2000
χ522-22-2222220-20-2-2-2-2-2-2-2-222222-200000000000-2-2-2-222222-22-22-22-2000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2000
χ532-22-2222220-20-2-2-2-2-2-2-2-22222-2200000000000-2-2-2-22222-22-22-22-22000000000000000000000000000000000000000−i2i2−i2i2−i2i2i2−i2i2−i2000
χ542-22-2222220-20-2-2-2-2-2-2-2-22222-2200000000000-2-2-2-22222-22-22-22-22000000000000000000000000000000000000000i2−i2i2−i2i2−i2−i2i2−i2i2000
χ552-22-22222-2020-2-2-2-2-2-2-2-22222002i−2i0000000002222-2-2-2-2000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000−i2i2−i2i2i2−i22−2−22000
χ562-22-22222-2020-2-2-2-2-2-2-2-22222002i−2i0000000002222-2-2-2-2000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000i2−i2i2−i2−i2i2−222−2000
χ572-22-22222-2020-2-2-2-2-2-2-2-2222200−2i2i0000000002222-2-2-2-200000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000−i2i2−i2i2i2−i2−222−2000
χ582-22-22222-2020-2-2-2-2-2-2-2-2222200−2i2i0000000002222-2-2-2-200000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000i2−i2i2−i2−i2i22−2−22000
χ5944444-2-2-2-44-444-2-2-24-2-2-24-2-2-20000-444-2-2-2-2-2-2-4222-42220000000000-42220000000000000000000000000000000000000000000000
χ6044444-2-2-2-4-4-4-44-2-2-24-2-2-24-2-2-200004-4-4222222-4222-422200000000004-2-2-20000000000000000000000000000000000000000000000
χ614444-24-2-2-44-44-24-2-2-24-2-2-24-2-20000-4-2-244-2-2-2-22-4222-42200000000002-4220000000000000000000000000000000000000000000000
χ624444-24-2-2-4-4-4-4-24-2-2-24-2-2-24-2-20000422-4-422222-4222-4220000000000-24-2-20000000000000000000000000000000000000000000000
χ634444-2-24-2-44-44-2-24-2-2-24-2-2-24-20000-4-2-2-2-244-2-222-4222-42000000000022-420000000000000000000000000000000000000000000000
χ644444-2-24-2-4-4-4-4-2-24-2-2-24-2-2-24-2000042222-4-42222-4222-420000000000-2-24-20000000000000000000000000000000000000000000000
χ654444-2-2-24-44-44-2-2-24-2-2-24-2-2-240000-4-2-2-2-2-2-244222-4222-40000000000222-40000000000000000000000000000000000000000000000
χ664444-2-2-24-4-4-4-4-2-2-24-2-2-24-2-2-2400004222222-4-4222-4222-40000000000-2-2-240000000000000000000000000000000000000000000000
χ6744-4-44444040-4-4-4-4-44444-4-4-4-400000-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000
χ6844-4-44-2-2-2040-4-42224-2-2-2-422200000-442-22-22-200000000000000000000000000000000006−66−66−6−66−66−660000000000000000000000
χ6944-4-44-2-2-2040-4-42224-2-2-2-422200000-442-22-22-20000000000000000000000000000000000−66−66−666−66−66−60000000000000000000000
χ7044-4-44-2-2-20-404-42224-2-2-2-4222000004-4-22-22-220000000000000000−2i22i2000000000000−2i22i2−2i22i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000000000
χ7144-4-44-2-2-20-404-42224-2-2-2-4222000004-4-22-22-2200000000000000002i2−2i20000000000002i2−2i22i2−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000
χ7244-4-4-24-2-2040-42-422-24-2-22-422000002-2-442-22-20000000000000000000000000000006−6−66006−6−66006−6−660000000000000000000000
χ7344-4-4-24-2-2040-42-422-24-2-22-422000002-2-442-22-2000000000000000000000000000000−666−600−666−600−666−60000000000000000000000
χ7444-4-4-24-2-20-4042-422-24-2-22-42200000-224-4-22-220000000000000000−2i22i2000000000000i2−i2i2−i2−2i22i2i2−i2i2−i2−2i22i2i2−i2i2−i20000000000000000000000
χ7544-4-4-24-2-20-4042-422-24-2-22-42200000-224-4-22-2200000000000000002i2−2i2000000000000−i2i2−i2i22i2−2i2−i2i2−i2i22i2−2i2−i2i2−i2i20000000000000000000000
χ7644-4-4-2-24-2040-422-42-2-24-222-42000002-22-2-442-20000000000000000000000000000006−6−66−66006−66−6−66000000000000000000000000
χ7744-4-4-2-24-2040-422-42-2-24-222-42000002-22-2-442-2000000000000000000000000000000−666−66−600−66−666−6000000000000000000000000
χ7844-4-4-2-24-20-40422-42-2-24-222-4200000-22-224-4-220000000000000000−2i22i2000000000000i2−i2i2−i2i2−i2−2i22i2i2−i2i2−i2i2−i2−2i22i20000000000000000000000
χ7944-4-4-2-24-20-40422-42-2-24-222-4200000-22-224-4-2200000000000000002i2−2i2000000000000−i2i2−i2i2−i2i22i2−2i2−i2i2−i2i2−i2i22i2−2i20000000000000000000000
χ8044-4-4-2-2-24040-4222-4-2-2-24222-4000002-22-22-2-440000000000000000000000000000006−6−666−6−6600−66006−60000000000000000000000
χ8144-4-4-2-2-24040-4222-4-2-2-24222-4000002-22-22-2-44000000000000000000000000000000−666−6−666−6006−600−660000000000000000000000
χ8244-4-4-2-2-240-404222-4-2-2-24222-400000-22-22-224-40000000000000000−2i22i2000000000000i2−i2i2−i2i2−i2i2−i2−2i22i2i2−i2−2i22i2i2−i20000000000000000000000
χ8344-4-4-2-2-240-404222-4-2-2-24222-400000-22-22-224-400000000000000002i2−2i2000000000000−i2i2−i2i2−i2i2−i2i22i2−2i2−i2i22i2−2i2−i2i20000000000000000000000
χ844-44-44-2-2-240-40-4222-42224-2-2-24-400000000000-42224-2-2-24-4-22-22-220000000000000000000000000000000000000000000000000000
χ854-44-44-2-2-240-40-4222-42224-2-2-2-4400000000000-42224-2-2-2-442-22-22-20000000000000000000000000000000000000000000000000000
χ864-44-44-2-2-2-4040-4222-42224-2-2-2004i−4i0000000004-2-2-2-4222000000000000004i−4i−2i2i−2i2i−2i2i00000000000000000000000000000000000000
χ874-44-44-2-2-2-4040-4222-42224-2-2-200−4i4i0000000004-2-2-2-422200000000000000−4i4i2i−2i2i−2i2i−2i00000000000000000000000000000000000000
χ884-44-4-24-2-240-402-4222-422-24-2-24-4000000000002-422-24-2-2-224-4-22-220000000000000000000000000000000000000000000000000000
χ894-44-4-24-2-240-402-4222-422-24-2-2-44000000000002-422-24-2-22-2-442-22-20000000000000000000000000000000000000000000000000000
χ904-44-4-24-2-2-40402-4222-422-24-2-2004i−4i000000000-24-2-22-42200000000000000−2i2i4i−4i−2i2i−2i2i00000000000000000000000000000000000000
χ914-44-4-24-2-2-40402-4222-422-24-2-200−4i4i000000000-24-2-22-422000000000000002i−2i−4i4i2i−2i2i−2i00000000000000000000000000000000000000
χ924-44-4-2-24-240-4022-4222-42-2-24-24-40000000000022-42-2-24-2-22-224-4-220000000000000000000000000000000000000000000000000000
χ934-44-4-2-24-240-4022-4222-42-2-24-2-440000000000022-42-2-24-22-22-2-442-20000000000000000000000000000000000000000000000000000
χ944-44-4-2-24-2-404022-4222-42-2-24-2004i−4i000000000-2-24-222-4200000000000000−2i2i−2i2i4i−4i−2i2i00000000000000000000000000000000000000
χ954-44-4-2-24-2-404022-4222-42-2-24-200−4i4i000000000-2-24-222-42000000000000002i−2i2i−2i−4i4i2i−2i00000000000000000000000000000000000000
χ964-44-4-2-2-2440-40222-4222-4-2-2-244-400000000000222-4-2-2-24-22-22-224-40000000000000000000000000000000000000000000000000000
χ974-44-4-2-2-2440-40222-4222-4-2-2-24-4400000000000222-4-2-2-242-22-22-2-440000000000000000000000000000000000000000000000000000
χ984-44-4-2-2-24-4040222-4222-4-2-2-24004i−4i000000000-2-2-24222-400000000000000−2i2i−2i2i−2i2i4i−4i00000000000000000000000000000000000000
χ994-44-4-2-2-24-4040222-4222-4-2-2-2400−4i4i000000000-2-2-24222-4000000000000002i−2i2i−2i2i−2i−4i4i00000000000000000000000000000000000000
χ1004-4-44444400004444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000−2i22i22i2−2i2000000000
χ1014-4-44444400004444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i2−2i22i2000000000
χ1028-8-888-4-4-400008-4-4-4-8444-8444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-8-88-48-4-40000-48-4-44-8444-844000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-88-4-48-40000-4-48-444-8444-84000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-4-4-480000-4-4-48444-8444-8000000000000000000000000000000000000000000000000000000000000000000000000000000000

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