Finite Group Databasebeta

← Group #11882297

Character table — Group #11882297

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888881616161616161616181818181818363636363672727272
order12223333444466666666666648888121212121212121212121212121212122224666666661212121212121212121212122424242424242424242424242424242466666666224444488884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-111-1
χ61111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111111-1-11
χ71111111111111111111111111-1-1-1-11111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-11
χ81111111111111111111111111-1-1-1-11111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ911111111-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111-1-1-11-11
χ1011111111-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1111-11-1
χ1111111111-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11-11-1
χ1211111111-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-111-11-11
χ1311111111-1-111111111111111-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-11111-1-1
χ1411111111-1-111111111111111-1-1-1111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1-1-111
χ1511111111-1-111111111111111-1-1-1111111-1-1-1-1-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-111-1-111
χ1611111111-1-111111111111111-1-1-1111111-1-1-1-1-1-1-1-11111-111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111-1-111-1-1
χ172222222222-2-2222222222222-20000-2-2-2-222222222-2-2-2-2000000000000-2-2-2-20000000000000000000000000000000022-2-2-2-2200000000
χ182222222222-2-2222222222222-20000-2-2-2-222222222-2-2-2-2000000000000-2-2-2-200000000000000000000000000000000-2-22222-200000000
χ1922222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022220000000000000000000000000000000022-2-222-200000000
χ2022222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000222200000000000000000000000000000000-2-222-2-2200000000
χ2122222-1-1-1222222-1-1-1-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1000000000000000
χ2222222-1-1-1222222-1-1-1-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2-2-21111112-1-1-1-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111000000000000000
χ2322222-1-1-1222222-1-1-1-1-1-12-1-1-12-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-122-2-2-2-21111112-1-1-1-2-2111111-2-2111111-2-21111112-1-1-12-1-1-1000000000000000
χ2422222-1-1-1222222-1-1-1-1-1-12-1-1-12-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-2-22222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2111-2111000000000000000
χ2522222-1-1-1-2-22222-1-1-1-1-1-12-1-1-1-222-2-22-1-1-1-2-21111112-1-1-12-22-222-1-1-1-1-1-1-2111-2-211111122-1-1-1-1-1-1-2-21111112-1-1-1-2111000000000000000
χ2622222-1-1-1-2-22222-1-1-1-1-1-12-1-1-1-222-2-22-1-1-1-2-21111112-1-1-1-22-22-2-2111111-211122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-21112-1-1-1000000000000000
χ2722222-1-1-1-2-22222-1-1-1-1-1-12-1-1-1-2-2-2222-1-1-1-2-21111112-1-1-12-2-22-2-2111111-211122-1-1-1-1-1-1-2-211111122-1-1-1-1-1-12-1-1-1-2111000000000000000
χ2822222-1-1-1-2-22222-1-1-1-1-1-12-1-1-1-2-2-2222-1-1-1-2-21111112-1-1-1-222-222-1-1-1-1-1-1-2111-2-2111111-2-211111122-1-1-1-1-1-1-21112-1-1-1000000000000000
χ292222-12-1-12222-1-122-1-1-1-1-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-12222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1000000000000000
χ302222-12-1-12222-1-122-1-1-1-1-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-1-2-2-2-211-2-21111-12-1-111-2-21111-1-122-1-1-1-1-1-122-1-1-1-11-2111-211000000000000000
χ312222-12-1-12222-1-122-1-1-1-1-12-1-12-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-122-2-211-2-21111-12-1-111-2-2111111-2-2111111-2-21111-12-1-1-12-1-1000000000000000
χ322222-12-1-12222-1-122-1-1-1-1-12-1-12-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-2-222-1-122-1-1-1-1-12-1-1-1-122-1-1-1-111-2-2111111-2-211111-2111-211000000000000000
χ332222-12-1-1-2-222-1-122-1-1-1-1-12-1-1-222-2-2-12-1-111-2-21111-12-1-12-22-2-1-122-1-1-1-11-21111-2-21111-1-122-1-1-1-111-2-21111-12-1-11-211000000000000000
χ342222-12-1-1-2-222-1-122-1-1-1-1-12-1-1-222-2-2-12-1-111-2-21111-12-1-1-22-2211-2-211111-211-1-122-1-1-1-1-1-122-1-1-1-111-2-211111-211-12-1-1000000000000000
χ352222-12-1-1-2-222-1-122-1-1-1-1-12-1-1-2-2-222-12-1-111-2-21111-12-1-12-2-2211-2-211111-211-1-122-1-1-1-111-2-21111-1-122-1-1-1-1-12-1-11-211000000000000000
χ362222-12-1-1-2-222-1-122-1-1-1-1-12-1-1-2-2-222-12-1-111-2-21111-12-1-1-222-2-1-122-1-1-1-11-21111-2-2111111-2-21111-1-122-1-1-1-11-211-12-1-1000000000000000
χ372222-1-12-12222-1-1-1-122-1-1-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-12222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1000000000000000
χ382222-1-12-12222-1-1-1-122-1-1-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-1-2-2-2-21111-2-211-1-12-11111-2-211-1-1-1-122-1-1-1-1-1-122-1-111-2111-21000000000000000
χ392222-1-12-12222-1-1-1-122-1-1-1-12-12-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-122-2-21111-2-211-1-12-11111-2-2111111-2-2111111-2-211-1-12-1-1-12-1000000000000000
χ402222-1-12-12222-1-1-1-122-1-1-1-12-12-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-2-222-1-1-1-122-1-1-1-12-1-1-1-1-122-1-11111-2-2111111-2-21111-2111-21000000000000000
χ412222-1-12-1-2-222-1-1-1-122-1-1-1-12-1-222-2-2-1-12-11111-2-211-1-12-12-22-2-1-1-1-122-1-111-211111-2-211-1-1-1-122-1-11111-2-211-1-12-111-21000000000000000
χ422222-1-12-1-2-222-1-1-1-122-1-1-1-12-1-222-2-2-1-12-11111-2-211-1-12-1-22-221111-2-21111-21-1-1-1-122-1-1-1-1-1-122-1-11111-2-21111-21-1-12-1000000000000000
χ432222-1-12-1-2-222-1-1-1-122-1-1-1-12-1-2-2-222-1-12-11111-2-211-1-12-12-2-221111-2-21111-21-1-1-1-122-1-11111-2-211-1-1-1-122-1-1-1-12-111-21000000000000000
χ442222-1-12-1-2-222-1-1-1-122-1-1-1-12-1-2-2-222-1-12-11111-2-211-1-12-1-222-2-1-1-1-122-1-111-211111-2-2111111-2-211-1-1-1-122-1-111-21-1-12-1000000000000000
χ452222-1-1-122222-1-1-1-1-1-122-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-122222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12000000000000000
χ462222-1-1-122222-1-1-1-1-1-122-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-2-2111111-2-2-1-1-12111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2000000000000000
χ472222-1-1-122222-1-1-1-1-1-122-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-1222-2-2111111-2-2-1-1-12111111-2-2111111-2-2111111-2-2-1-1-12-1-1-12000000000000000
χ482222-1-1-122222-1-1-1-1-1-122-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-2-222-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2111-2111-2000000000000000
χ492222-1-1-12-2-222-1-1-1-1-1-122-1-1-12-222-2-2-1-1-12111111-2-2-1-1-122-22-2-1-1-1-1-1-122111-2111111-2-2-1-1-1-1-1-122111111-2-2-1-1-12111-2000000000000000
χ502222-1-1-12-2-222-1-1-1-1-1-122-1-1-12-222-2-2-1-1-12111111-2-2-1-1-12-22-22111111-2-2111-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111-2-1-1-12000000000000000
χ512222-1-1-12-2-222-1-1-1-1-1-122-1-1-12-2-2-222-1-1-12111111-2-2-1-1-122-2-22111111-2-2111-2-1-1-1-1-1-122111111-2-2-1-1-1-1-1-122-1-1-12111-2000000000000000
χ522222-1-1-12-2-222-1-1-1-1-1-122-1-1-12-2-2-222-1-1-12111111-2-2-1-1-12-222-2-1-1-1-1-1-122111-2111111-2-2111111-2-2-1-1-1-1-1-122111-2-1-1-12000000000000000
χ5322-2-222222-200-2-2-2-2-2-2-2-2222202−22−200002-22-22-22-200000000000000000000000000002−22−22−22−22−22−22−22−200000000002i−2i2i−2i0−i2i2−i2i20000
χ5422-2-222222-200-2-2-2-2-2-2-2-2222202−22−200002-22-22-22-200000000000000000000000000002−22−22−22−22−22−22−22−20000000000−2i2i−2i2i0i2−i2i2−i20000
χ5522-2-222222-200-2-2-2-2-2-2-2-222220−22−2200002-22-22-22-20000000000000000000000000000−22−22−22−22−22−22−22−2200000000002i−2i2i−2i0i2−i2i2−i20000
χ5622-2-222222-200-2-2-2-2-2-2-2-222220−22−2200002-22-22-22-20000000000000000000000000000−22−22−22−22−22−22−22−220000000000−2i2i−2i2i0−i2i2−i2i20000
χ5722-2-22222-2200-2-2-2-2-2-2-2-2222202−2−220000-22-22-22-2200000000000000000000000000002−22−22−22−2−22−22−22−2200000000002i−2i−2i2i0−i2i2i2−i20000
χ5822-2-22222-2200-2-2-2-2-2-2-2-2222202−2−220000-22-22-22-2200000000000000000000000000002−22−22−22−2−22−22−22−220000000000−2i2i2i−2i0i2−i2−i2i20000
χ5922-2-22222-2200-2-2-2-2-2-2-2-222220−222−20000-22-22-22-220000000000000000000000000000−22−22−22−222−22−22−22−200000000002i−2i−2i2i0i2−i2−i2i20000
χ6022-2-22222-2200-2-2-2-2-2-2-2-222220−222−20000-22-22-22-220000000000000000000000000000−22−22−22−222−22−22−22−20000000000−2i2i2i−2i0−i2i2i2−i20000
χ6144444-2-2-244-4-444-2-2-2-2-2-24-2-2-2-40000-422244-2-2-2-2-2-2-4222000000000000-422200000000000000000000000000000000000000000000000
χ6244444-2-2-2-4-4-4-444-2-2-2-2-2-24-2-2-240000-4222-4-4222222-42220000000000004-2-2-200000000000000000000000000000000000000000000000
χ634444-24-2-244-4-4-2-244-2-2-2-2-24-2-2-400002-422-2-244-2-2-2-22-4220000000000002-42200000000000000000000000000000000000000000000000
χ644444-24-2-2-4-4-4-4-2-244-2-2-2-2-24-2-2400002-42222-4-422222-422000000000000-24-2-200000000000000000000000000000000000000000000000
χ654444-2-24-244-4-4-2-2-2-244-2-2-2-24-2-4000022-42-2-2-2-244-2-222-4200000000000022-4200000000000000000000000000000000000000000000000
χ664444-2-24-2-4-4-4-4-2-2-2-244-2-2-2-24-24000022-422222-4-42222-42000000000000-2-24-200000000000000000000000000000000000000000000000
χ674444-2-2-2444-4-4-2-2-2-2-2-244-2-2-24-40000222-4-2-2-2-2-2-244222-4000000000000222-400000000000000000000000000000000000000000000000
χ684444-2-2-24-4-4-4-4-2-2-2-2-2-244-2-2-2440000222-4222222-4-4222-4000000000000-2-2-2400000000000000000000000000000000000000000000000
χ6944-4-44-2-2-24-400-4-42222224-2-2-2022−2222−2200004-4-22-22-22000000000000000000000000000022−22−22−22−2222−22−22−22−2200000000000000000000000
χ7044-4-44-2-2-24-400-4-42222224-2-2-20−2222−222200004-4-22-22-220000000000000000000000000000−22222−22−22−2−22222−22−22−200000000000000000000000
χ7144-4-44-2-2-2-4400-4-42222224-2-2-2022−22−22220000-442-22-22-2000000000000000000000000000022−22−22−22−22−22222−22−22−200000000000000000000000
χ7244-4-44-2-2-2-4400-4-42222224-2-2-20−222222−220000-442-22-22-20000000000000000000000000000−22222−22−22−222−22−22−22−2200000000000000000000000
χ7344-4-4-24-2-24-40022-4-42222-24-2-2022−2222−220000-224-4-22-220000000000000000000000000000−2222−22−22−22−2222−22−22−2200000000000000000000000
χ7444-4-4-24-2-24-40022-4-42222-24-2-20−2222−22220000-224-4-22-2200000000000000000000000000002−2−22222−22−22−2−22222−22−200000000000000000000000
χ7544-4-4-24-2-2-440022-4-42222-24-2-2022−22−222200002-2-442-22-20000000000000000000000000000−2222−22−22−222−2−22222−22−200000000000000000000000
χ7644-4-4-24-2-2-440022-4-42222-24-2-20−222222−2200002-2-442-22-200000000000000000000000000002−2−22222−22−2−2222−22−22−2200000000000000000000000
χ7744-4-4-2-24-24-4002222-4-422-2-24-2022−2222−220000-22-224-4-220000000000000000000000000000−22−2222−22−22−22−2222−22−2200000000000000000000000
χ7844-4-4-2-24-24-4002222-4-422-2-24-20−2222−22220000-22-224-4-2200000000000000000000000000002−22−2−22222−22−22−2−22222−200000000000000000000000
χ7944-4-4-2-24-2-44002222-4-422-2-24-2022−22−222200002-22-2-442-20000000000000000000000000000−22−2222−22−222−22−2−22222−200000000000000000000000
χ8044-4-4-2-24-2-44002222-4-422-2-24-20−222222−2200002-22-2-442-200000000000000000000000000002−22−2−22222−2−22−2222−22−2200000000000000000000000
χ8144-4-4-2-2-244-400222222-4-4-2-2-24022−2222−220000-22-22-224-40000000000000000000000000000−22−22−2222−22−22−22−2222−2200000000000000000000000
χ8244-4-4-2-2-244-400222222-4-4-2-2-240−2222−22220000-22-22-224-400000000000000000000000000002−22−22−2−22222−22−22−2−222200000000000000000000000
χ8344-4-4-2-2-24-4400222222-4-4-2-2-24022−22−222200002-22-22-2-440000000000000000000000000000−22−22−2222−222−22−22−2−222200000000000000000000000
χ8444-4-4-2-2-24-4400222222-4-4-2-2-240−222222−2200002-22-22-2-4400000000000000000000000000002−22−22−2−2222−22−22−2222−2200000000000000000000000
χ854-44-44444004-44-44-44-44-4-4-4-4-400000444400000000-4-4-4-4000000000000000000000000000000000000000000000000000000000000000
χ864-44-4444400-444-44-44-44-4-4-4-4-400000-4-4-4-4000000004444000000000000000000000000000000000000000000000000000000000000000
χ874-44-44-2-2-2004-44-4-22-22-22-4222000004-2-2-200000000-422200000000000000000023−2323−2323−23000000000000000000000000000000000000000
χ884-44-44-2-2-2004-44-4-22-22-22-4222000004-2-2-200000000-4222000000000000000000−2323−2323−2323000000000000000000000000000000000000000
χ894-44-44-2-2-200-444-4-22-22-22-422200000-4222000000004-2-2-2000000−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000
χ904-44-44-2-2-200-444-4-22-22-22-422200000-4222000000004-2-2-20000002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000
χ914-44-4-24-2-2004-4-224-4-22-222-42200000-24-2-2000000002-422000000000000000023−230023−23−2323000000000000000000000000000000000000000
χ924-44-4-24-2-2004-4-224-4-22-222-42200000-24-2-2000000002-4220000000000000000−232300−232323−23000000000000000000000000000000000000000
χ934-44-4-24-2-200-44-224-4-22-222-422000002-42200000000-24-2-20000−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000
χ944-44-4-24-2-200-44-224-4-22-222-422000002-42200000000-24-2-200002i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000
χ954-44-4-2-24-2004-4-22-224-4-2222-4200000-2-24-20000000022-42000000000000000023−23−23230023−23000000000000000000000000000000000000000
χ964-44-4-2-24-2004-4-22-224-4-2222-4200000-2-24-20000000022-420000000000000000−232323−2300−2323000000000000000000000000000000000000000
χ974-44-4-2-24-200-44-22-224-4-2222-420000022-4200000000-2-24-20000−2i32i32i3−2i300−2i32i3000000000000000000000000000000000000000000000000000
χ984-44-4-2-24-200-44-22-224-4-2222-420000022-4200000000-2-24-200002i3−2i3−2i32i3002i3−2i3000000000000000000000000000000000000000000000000000
χ994-44-4-2-2-24004-4-22-22-224-4222-400000-2-2-2400000000222-4000000000000000023−2323−23−232300000000000000000000000000000000000000000
χ1004-44-4-2-2-24004-4-22-22-224-4222-400000-2-2-2400000000222-40000000000000000−2323−232323−2300000000000000000000000000000000000000000
χ1014-44-4-2-2-2400-44-22-22-224-4222-400000222-400000000-2-2-240000−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000
χ1024-44-4-2-2-2400-44-22-22-224-4222-400000222-400000000-2-2-2400002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000
χ1034-4-4444440000-44-44-44-44-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000004-40000000000000
χ1044-4-4444440000-44-44-44-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000-440000000000000
χ1058-8-888-4-4-40000-884-44-44-4-8444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-48-4-400004-4-884-44-44-844000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-48-400004-44-4-884-444-84000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4800004-44-44-4-88444-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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