Finite Group Databasebeta

← Group #11882239

Character table — Group #11882239

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888881616161616161616181818181818363636363672727272
order1222333344446666666666664888812121212121212121212121212121212244466666666121212121212121212121212242424242424242424242424242424241212121212121212224444488882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-1-1-111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1
χ61111111111111111111111111-1-1-1-111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111
χ81111111111111111111111111-1-1-1-11111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1
χ911111111-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-111-1-1-111-1
χ1011111111-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1-1111-1-11
χ1111111111-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-11-1-11
χ1211111111-1-111111111111111-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-111-111-1
χ1311111111-1-111111111111111-1-1-1111111-1-1-1-1-1-1-1-111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-111-11-11
χ1411111111-1-111111111111111-1-1-1111111-1-1-1-1-1-1-1-111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111-1-11-11-1
χ1511111111-1-111111111111111-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1111-11-1
χ1611111111-1-111111111111111-1-1-1111111-1-1-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1-1-11-11
χ172222222222-2-2222222222222-20000-2-2-2-222222222-2-2-2-200000000000000000000-2-2-2-20000000000000000000000002222-2-2-200000000
χ182222222222-2-2222222222222-20000-2-2-2-222222222-2-2-2-200000000000000000000-2-2-2-2000000000000000000000000-2-2-2-222200000000
χ1922222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000222200000000000000000000000022-2-2-2-2200000000
χ2022222222-2-2-2-222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000002222000000000000000000000000-2-22222-200000000
χ2122222-1-1-122222-1-1-12-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1000000000000000
χ2222222-1-1-122222-1-1-12-1-1-12-1-1-1222222-1-1-122-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2111111-2-21111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111000000000000000
χ2322222-1-1-122222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-12-2-2222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2111-2111000000000000000
χ2422222-1-1-122222-1-1-12-1-1-12-1-1-12-2-2-2-22-1-1-122-1-1-1-1-1-12-1-1-1-222-2-2-2111111-2-21111112-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1000000000000000
χ2522222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-222-2-22-1-1-1-2-21111112-1-1-122-2-222-1-1-1-1-1-1-2-2111111-211122-1-1-1-1-1-1-2-21111112-1-1-1-2111000000000000000
χ2622222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-222-2-22-1-1-1-2-21111112-1-1-1-2-222-2-211111122-1-1-1-1-1-1-211122-1-1-1-1-1-1-2-2111111-21112-1-1-1000000000000000
χ2722222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-2-2-2222-1-1-1-2-21111112-1-1-12-22-222-1-1-1-1-1-1-2-2111111-2111-2-211111122-1-1-1-1-1-1-21112-1-1-1000000000000000
χ2822222-1-1-1-2-2222-1-1-12-1-1-12-1-1-1-2-2-2222-1-1-1-2-21111112-1-1-1-22-22-2-211111122-1-1-1-1-1-1-2111-2-211111122-1-1-1-1-1-12-1-1-1-2111000000000000000
χ292222-12-1-12222-12-1-1-12-1-1-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1000000000000000
χ302222-12-1-12222-12-1-1-12-1-1-12-1-122222-12-1-1-1-122-1-1-1-1-12-1-1-2-2-2-211-2-2111111-2-21111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-211000000000000000
χ312222-12-1-12222-12-1-1-12-1-1-12-1-12-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-12-2-22-1-122-1-1-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-211111-2111-211000000000000000
χ322222-12-1-12222-12-1-1-12-1-1-12-1-12-2-2-2-2-12-1-1-1-122-1-1-1-1-12-1-1-222-211-2-2111111-2-21111-12-1-111-2-2111111-2-21111-12-1-1-12-1-1000000000000000
χ332222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-222-2-2-12-1-111-2-21111-12-1-122-2-2-1-122-1-1-1-111-2-211111-211-1-122-1-1-1-111-2-21111-12-1-11-211000000000000000
χ342222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-222-2-2-12-1-111-2-21111-12-1-1-2-22211-2-21111-1-122-1-1-1-11-211-1-122-1-1-1-111-2-211111-211-12-1-1000000000000000
χ352222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-2-2-222-12-1-111-2-21111-12-1-12-22-2-1-122-1-1-1-111-2-211111-21111-2-21111-1-122-1-1-1-11-211-12-1-1000000000000000
χ362222-12-1-1-2-222-12-1-1-12-1-1-12-1-1-2-2-222-12-1-111-2-21111-12-1-1-22-2211-2-21111-1-122-1-1-1-11-21111-2-21111-1-122-1-1-1-1-12-1-11-211000000000000000
χ372222-1-12-12222-1-12-1-1-12-1-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1000000000000000
χ382222-1-12-12222-1-12-1-1-12-1-1-12-122222-1-12-1-1-1-1-122-1-1-1-12-1-2-2-2-21111-2-2111111-2-211-1-12-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-21000000000000000
χ392222-1-12-12222-1-12-1-1-12-1-1-12-12-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-12-2-22-1-1-1-122-1-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-21111-2111-21000000000000000
χ402222-1-12-12222-1-12-1-1-12-1-1-12-12-2-2-2-2-1-12-1-1-1-1-122-1-1-1-12-1-222-21111-2-2111111-2-211-1-12-11111-2-2111111-2-211-1-12-1-1-12-1000000000000000
χ412222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-222-2-2-1-12-11111-2-211-1-12-122-2-2-1-1-1-122-1-11111-2-21111-21-1-1-1-122-1-11111-2-211-1-12-111-21000000000000000
χ422222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-222-2-2-1-12-11111-2-211-1-12-1-2-2221111-2-211-1-1-1-122-1-111-21-1-1-1-122-1-11111-2-21111-21-1-12-1000000000000000
χ432222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-2-2-222-1-12-11111-2-211-1-12-12-22-2-1-1-1-122-1-11111-2-21111-211111-2-211-1-1-1-122-1-111-21-1-12-1000000000000000
χ442222-1-12-1-2-222-1-12-1-1-12-1-1-12-1-2-2-222-1-12-11111-2-211-1-12-1-22-221111-2-211-1-1-1-122-1-111-211111-2-211-1-1-1-122-1-1-1-12-111-21000000000000000
χ452222-1-1-122222-1-1-12-1-1-12-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12000000000000000
χ462222-1-1-122222-1-1-12-1-1-12-1-1-1222222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-2-2111111-2-2111111-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2000000000000000
χ472222-1-1-122222-1-1-12-1-1-12-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-122-2-22-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2111-2111-2000000000000000
χ482222-1-1-122222-1-1-12-1-1-12-1-1-122-2-2-2-2-1-1-12-1-1-1-1-1-122-1-1-12-222-2111111-2-2111111-2-2-1-1-12111111-2-2111111-2-2-1-1-12-1-1-12000000000000000
χ492222-1-1-12-2-222-1-1-12-1-1-12-1-1-12-222-2-2-1-1-12111111-2-2-1-1-1222-2-2-1-1-1-1-1-122111111-2-2111-2-1-1-1-1-1-122111111-2-2-1-1-12111-2000000000000000
χ502222-1-1-12-2-222-1-1-12-1-1-12-1-1-12-222-2-2-1-1-12111111-2-2-1-1-12-2-222111111-2-2-1-1-1-1-1-122111-2-1-1-1-1-1-122111111-2-2111-2-1-1-12000000000000000
χ512222-1-1-12-2-222-1-1-12-1-1-12-1-1-12-2-2-222-1-1-12111111-2-2-1-1-122-22-2-1-1-1-1-1-122111111-2-2111-2111111-2-2-1-1-1-1-1-122111-2-1-1-12000000000000000
χ522222-1-1-12-2-222-1-1-12-1-1-12-1-1-12-2-2-222-1-1-12111111-2-2-1-1-12-22-22111111-2-2-1-1-1-1-1-122111-2111111-2-2-1-1-1-1-1-122-1-1-12111-2000000000000000
χ532-22-222222-200-2-2-2-22222-2-2-2-20−i2i2−i2i200002-22-22-22-20000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002-22-2000−i2i2−i2i20000
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χ764-44-4-24-2-24-4002-422-24-2-22-42202i2−2i22i2−2i20000-224-4-22-220000000000000000000000000000−i2i22i2−2i2−i2i2−i2i2−i2i22i2−2i2−i2i2−i2i200000000000000000000000
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χ794-44-4-2-24-24-40022-42-2-24-222-420−2i22i2−2i22i20000-22-224-4-220000000000000000000000000000i2−i2i2−i2−2i22i2i2−i2i2−i2i2−i2−2i22i2i2−i200000000000000000000000
χ804-44-4-2-24-24-40022-42-2-24-222-4202i2−2i22i2−2i20000-22-224-4-220000000000000000000000000000−i2i2−i2i22i2−2i2−i2i2−i2i2−i2i22i2−2i2−i2i200000000000000000000000
χ814-44-4-2-24-2-440022-42-2-24-222-420−2i22i22i2−2i200002-22-2-442-20000000000000000000000000000i2−i2i2−i2−2i22i2i2−i2−i2i2−i2i22i2−2i2−i2i200000000000000000000000
χ824-44-4-2-24-2-440022-42-2-24-222-4202i2−2i2−2i22i200002-22-2-442-20000000000000000000000000000−i2i2−i2i22i2−2i2−i2i2i2−i2i2−i2−2i22i2i2−i200000000000000000000000
χ834-44-4-2-2-244-400222-4-2-2-24222-40−2i22i2−2i22i20000-22-22-224-40000000000000000000000000000i2−i2i2−i2i2−i2−2i22i2i2−i2i2−i2i2−i2−2i22i200000000000000000000000
χ844-44-4-2-2-244-400222-4-2-2-24222-402i2−2i22i2−2i20000-22-22-224-40000000000000000000000000000−i2i2−i2i2−i2i22i2−2i2−i2i2−i2i2−i2i22i2−2i200000000000000000000000
χ854-44-4-2-2-24-4400222-4-2-2-24222-40−2i22i22i2−2i200002-22-22-2-440000000000000000000000000000i2−i2i2−i2i2−i2−2i22i2−i2i2−i2i2−i2i22i2−2i200000000000000000000000
χ864-44-4-2-2-24-4400222-4-2-2-24222-402i2−2i2−2i22i200002-22-22-2-440000000000000000000000000000−i2i2−i2i2−i2i22i2−2i2i2−i2i2−i2i2−i2−2i22i200000000000000000000000
χ874-4-444444004-44444-4-4-4-4-4-4-4-400000444400000000-4-4-4-4000000000000000000000000000000000000000000000000000000000000000
χ884-4-44444400-444444-4-4-4-4-4-4-4-400000-4-4-4-4000000004444000000000000000000000000000000000000000000000000000000000000000
χ894-4-444-2-2-2004-44-2-2-2-4222-4222000004-2-2-200000000-4222000000−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000
χ904-4-444-2-2-2004-44-2-2-2-4222-4222000004-2-2-200000000-42220000002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000
χ914-4-444-2-2-200-444-2-2-2-4222-422200000-4222000000004-2-2-20000000000000023−2323−2323−230000000000000000000000000000000000000000000
χ924-4-444-2-2-200-444-2-2-2-4222-422200000-4222000000004-2-2-200000000000000−2323−2323−23230000000000000000000000000000000000000000000
χ934-4-44-24-2-2004-4-24-2-22-4222-42200000-24-2-2000000002-4220000−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000
χ944-4-44-24-2-2004-4-24-2-22-4222-42200000-24-2-2000000002-42200002i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000
χ954-4-44-24-2-200-44-24-2-22-4222-422000002-42200000000-24-2-200000000000023−230023−23−23230000000000000000000000000000000000000000000
χ964-4-44-24-2-200-44-24-2-22-4222-422000002-42200000000-24-2-2000000000000−232300−232323−230000000000000000000000000000000000000000000
χ974-4-44-2-24-2004-4-2-24-222-4222-4200000-2-24-20000000022-420000−2i32i32i3−2i300−2i32i3000000000000000000000000000000000000000000000000000
χ984-4-44-2-24-2004-4-2-24-222-4222-4200000-2-24-20000000022-4200002i3−2i3−2i32i3002i3−2i3000000000000000000000000000000000000000000000000000
χ994-4-44-2-24-200-44-2-24-222-4222-420000022-4200000000-2-24-200000000000023−23−23230023−230000000000000000000000000000000000000000000
χ1004-4-44-2-24-200-44-2-24-222-4222-420000022-4200000000-2-24-2000000000000−232323−2300−23230000000000000000000000000000000000000000000
χ1014-4-44-2-2-24004-4-2-2-24222-4222-400000-2-2-2400000000222-40000−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000
χ1024-4-44-2-2-24004-4-2-2-24222-4222-400000-2-2-2400000000222-400002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000
χ1034-4-44-2-2-2400-44-2-2-24222-4222-400000222-400000000-2-2-2400000000000023−2323−23−2323000000000000000000000000000000000000000000000
χ1044-4-44-2-2-2400-44-2-2-24222-4222-400000222-400000000-2-2-24000000000000−2323−232323−23000000000000000000000000000000000000000000000
χ10588-8-88-4-4-40000-8444-84448-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-4-400004-8444-844-48-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-48-4000044-8444-84-4-48-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-480000444-8444-8-4-4-48000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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