Finite Group Databasebeta

← Group #11878824

Character table — Group #11878824

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11112222222222222222222244444444444444444444488888888888888888888888888888888888888881616161616161616181818181818363636363672727272
order122222333344666666666666466666666888812121212121212122244666666666666666612121212242424242424242424242424242424241212121212121212444444488882244
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
χ5111111111111111111111111111111111-1-1-1-11111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111-1-1
χ6111111111111111111111111111111111-1-1-1-11111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1111111-1-1
χ91111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1111111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-111-1-11-11-1
χ101111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-1111111111-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-111-11-11
χ111111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-111111111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-111-1-1-11-11
χ121111-1-1111111111111111111-1-1-1-1-1-1-1-1-111-1-111111111-11-11-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11-1-1111-11-1
χ131111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1111-1-11
χ141111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1111-1-1-111-1
χ151111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-1-111-111-1
χ161111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1111-1-11-1-11
χ172222222222-2-2222222222222-2222222220000-2-2-2-2-2-2-2-200000000000000000000-2-2-2-20000000000000000000000002222-2-2-200000000
χ182222222222-2-2222222222222-2222222220000-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2000000000000000000000000-2-2-2-222200000000
χ192222222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12-1-1-12-1-1-1000000000000000
χ202222222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1222222-1-1-1-1-1-1-2-2-2-2-2-2111111-2-21111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2111-2111000000000000000
χ212222222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-122-2-222-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2111-2111000000000000000
χ222222222-1-1-1222-1-1-12-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-1-2-222-2-2111111-2-21111112-1-1-1-2-2111111-2-21111112-1-1-12-1-1-1000000000000000
χ23222222-12-1-122-12-1-1-12-1-1-12-1-12-1-122-1-1-1-12222-1-122-1-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-12-1-1-12-1-1000000000000000
χ24222222-12-1-122-12-1-1-12-1-1-12-1-12-1-122-1-1-1-12222-1-122-1-1-1-1-2-2-2-211-2-2111111-2-21111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-11-2111-211000000000000000
χ25222222-12-1-122-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-122-2-2-1-122-1-1-1-1-1-122-1-1-1-1-12-1-111-2-2111111-2-211111-2111-211000000000000000
χ26222222-12-1-122-12-1-1-12-1-1-12-1-12-1-122-1-1-1-1-2-2-2-2-1-122-1-1-1-1-2-22211-2-2111111-2-21111-12-1-111-2-2111111-2-21111-12-1-1-12-1-1000000000000000
χ27222222-1-12-122-1-12-1-1-12-1-1-12-12-1-1-1-122-1-12222-1-1-1-122-1-12222-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12-1-1-12-1000000000000000
χ28222222-1-12-122-1-12-1-1-12-1-1-12-12-1-1-1-122-1-12222-1-1-1-122-1-1-2-2-2-21111-2-2111111-2-211-1-12-1-1-1-1-122-1-1-1-1-1-122-1-111-2111-21000000000000000
χ29222222-1-12-122-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-2-2-2-2-1-1-1-122-1-122-2-2-1-1-1-122-1-1-1-1-1-122-1-1-1-12-11111-2-2111111-2-21111-2111-21000000000000000
χ30222222-1-12-122-1-12-1-1-12-1-1-12-12-1-1-1-122-1-1-2-2-2-2-1-1-1-122-1-1-2-2221111-2-2111111-2-211-1-12-11111-2-2111111-2-211-1-12-1-1-12-1000000000000000
χ31222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12-1-1-12000000000000000
χ32222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-122-2-2-2-2111111-2-2111111-2-2-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122111-2111-2000000000000000
χ33222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-12222-2-2-1-1-1-1-1-122-1-1-1-1-1-122-1-1-12111111-2-2111111-2-2111-2111-2000000000000000
χ34222222-1-1-1222-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-122-2-222111111-2-2111111-2-2-1-1-12111111-2-2111111-2-2-1-1-12-1-1-12000000000000000
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χ362222-2-22222-2-22222222222222-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-2000000000000000000002222000000000000000000000000-2-22222-200000000
χ372222-2-22-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-211111122-2-222-1-1-1-1-1-12-22-222-1-1-1-1-1-1-2-2111111-211122-1-1-1-1-1-1-2-2111111-21112-1-1-1000000000000000
χ382222-2-22-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-211111122-2-222-1-1-1-1-1-1-22-22-2-211111122-1-1-1-1-1-1-211122-1-1-1-1-1-1-2-21111112-1-1-1-2111000000000000000
χ392222-2-22-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2111111-2-22222-1-1-1-1-1-12-2-2222-1-1-1-1-1-1-2-2111111-2111-2-211111122-1-1-1-1-1-12-1-1-1-2111000000000000000
χ402222-2-22-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2111111-2-22222-1-1-1-1-1-1-222-2-2-211111122-1-1-1-1-1-1-2111-2-211111122-1-1-1-1-1-1-21112-1-1-1000000000000000
χ412222-2-2-12-1-122-12-1-1-12-1-1-12-1-1-211-2-2111122-2-2-1-122-1-1-1-12-22-2-1-122-1-1-1-111-2-211111-211-1-122-1-1-1-111-2-211111-211-12-1-1000000000000000
χ422222-2-2-12-1-122-12-1-1-12-1-1-12-1-1-211-2-2111122-2-2-1-122-1-1-1-1-22-2211-2-21111-1-122-1-1-1-11-211-1-122-1-1-1-111-2-21111-12-1-11-211000000000000000
χ432222-2-2-12-1-122-12-1-1-12-1-1-12-1-1-211-2-21111-2-222-1-122-1-1-1-12-2-22-1-122-1-1-1-111-2-211111-21111-2-21111-1-122-1-1-1-1-12-1-11-211000000000000000
χ442222-2-2-12-1-122-12-1-1-12-1-1-12-1-1-211-2-21111-2-222-1-122-1-1-1-1-222-211-2-21111-1-122-1-1-1-11-21111-2-21111-1-122-1-1-1-11-211-12-1-1000000000000000
χ452222-2-2-1-12-122-1-12-1-1-12-1-1-12-1-21111-2-21122-2-2-1-1-1-122-1-12-22-2-1-1-1-122-1-11111-2-21111-21-1-1-1-122-1-11111-2-21111-21-1-12-1000000000000000
χ462222-2-2-1-12-122-1-12-1-1-12-1-1-12-1-21111-2-21122-2-2-1-1-1-122-1-1-22-221111-2-211-1-1-1-122-1-111-21-1-1-1-122-1-11111-2-211-1-12-111-21000000000000000
χ472222-2-2-1-12-122-1-12-1-1-12-1-1-12-1-21111-2-211-2-222-1-1-1-122-1-12-2-22-1-1-1-122-1-11111-2-21111-211111-2-211-1-1-1-122-1-1-1-12-111-21000000000000000
χ482222-2-2-1-12-122-1-12-1-1-12-1-1-12-1-21111-2-211-2-222-1-1-1-122-1-1-222-21111-2-211-1-1-1-122-1-111-211111-2-211-1-1-1-122-1-111-21-1-12-1000000000000000
χ492222-2-2-1-1-1222-1-1-12-1-1-12-1-1-12-2111111-2-222-2-2-1-1-1-1-1-1222-22-2-1-1-1-1-1-122111111-2-2111-2-1-1-1-1-1-122111111-2-2111-2-1-1-12000000000000000
χ502222-2-2-1-1-1222-1-1-12-1-1-12-1-1-12-2111111-2-222-2-2-1-1-1-1-1-122-22-22111111-2-2-1-1-1-1-1-122111-2-1-1-1-1-1-122111111-2-2-1-1-12111-2000000000000000
χ512222-2-2-1-1-1222-1-1-12-1-1-12-1-1-12-2111111-2-2-2-222-1-1-1-1-1-1222-2-22-1-1-1-1-1-122111111-2-2111-2111111-2-2-1-1-1-1-1-122-1-1-12111-2000000000000000
χ522222-2-2-1-1-1222-1-1-12-1-1-12-1-1-12-2111111-2-2-2-222-1-1-1-1-1-122-222-2111111-2-2-1-1-1-1-1-122111-2111111-2-2-1-1-1-1-1-122111-2-1-1-12000000000000000
χ5322-2-22-22222002222-2-2-2-2-2-2-2-202-22-22-22-2−i2i2−i2i200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000002-22-2000−i2i2−i2i20000
χ5422-2-22-22222002222-2-2-2-2-2-2-2-202-22-22-22-2−i2i2−i2i200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000-22-22000i2−i2i2−i20000
χ5522-2-22-22222002222-2-2-2-2-2-2-2-202-22-22-22-2i2−i2i2−i200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000002-22-2000i2−i2i2−i20000
χ5622-2-22-22222002222-2-2-2-2-2-2-2-202-22-22-22-2i2−i2i2−i200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000-22-22000−i2i2−i2i20000
χ5722-2-2-222222002222-2-2-2-2-2-2-2-20-22-22-22-22−i2i2i2−i200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000002-2-22000−i2i2i2−i20000
χ5822-2-2-222222002222-2-2-2-2-2-2-2-20-22-22-22-22−i2i2i2−i200000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000-222-2000i2−i2−i2i20000
χ5922-2-2-222222002222-2-2-2-2-2-2-2-20-22-22-22-22i2−i2−i2i200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000002-2-22000i2−i2−i2i20000
χ6022-2-2-222222002222-2-2-2-2-2-2-2-20-22-22-22-22i2−i2−i2i200000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000-222-2000−i2i2i2−i20000
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χ7444-4-44-4-2-24-200-2-24-222-4222-420-22-224-4-222i2−2i22i2−2i200000000000000000000000000000000−i2i2−i2i22i2−2i2−i2i2−i2i2−i2i22i2−2i2−i2i200000000000000000000000
χ7544-4-44-4-2-2-2400-2-2-24222-4222-40-22-22-224-4−2i22i2−2i22i200000000000000000000000000000000i2−i2i2−i2i2−i2−2i22i2i2−i2i2−i2i2−i2−2i22i200000000000000000000000
χ7644-4-44-4-2-2-2400-2-2-24222-4222-40-22-22-224-42i2−2i22i2−2i200000000000000000000000000000000−i2i2−i2i2−i2i22i2−2i2−i2i2−i2i2−i2i22i2−2i200000000000000000000000
χ7744-4-4-444-2-2-2004-2-2-2-4222-42220-442-22-22-2−2i22i22i2−2i200000000000000000000000000000000−2i22i2i2−i2i2−i2i2−i22i2−2i2−i2i2−i2i2−i2i200000000000000000000000
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χ7944-4-4-44-24-2-200-24-2-22-4222-42202-2-442-22-2−2i22i22i2−2i200000000000000000000000000000000i2−i2−2i22i2i2−i2i2−i2−i2i22i2−2i2−i2i2−i2i200000000000000000000000
χ8044-4-4-44-24-2-200-24-2-22-4222-42202-2-442-22-22i2−2i2−2i22i200000000000000000000000000000000−i2i22i2−2i2−i2i2−i2i2i2−i2−2i22i2i2−i2i2−i200000000000000000000000
χ8144-4-4-44-2-24-200-2-24-222-4222-4202-22-2-442-2−2i22i22i2−2i200000000000000000000000000000000i2−i2i2−i2−2i22i2i2−i2−i2i2−i2i22i2−2i2−i2i200000000000000000000000
χ8244-4-4-44-2-24-200-2-24-222-4222-4202-22-2-442-22i2−2i2−2i22i200000000000000000000000000000000−i2i2−i2i22i2−2i2−i2i2i2−i2i2−i2−2i22i2i2−i200000000000000000000000
χ8344-4-4-44-2-2-2400-2-2-24222-4222-402-22-22-2-44−2i22i22i2−2i200000000000000000000000000000000i2−i2i2−i2i2−i2−2i22i2−i2i2−i2i2−i2i22i2−2i200000000000000000000000
χ8444-4-4-44-2-2-2400-2-2-24222-4222-402-22-22-2-442i2−2i2−2i22i200000000000000000000000000000000−i2i2−i2i2−i2i22i2−2i2i2−i2i2−i2i2−i2−2i22i200000000000000000000000
χ854-44-40044444-4-4-4-4-4-4-4-4-4444400000000000004-44-44-44-4000000000000000000000000000000000000000000000000000000000000000
χ864-44-4004444-44-4-4-4-4-4-4-4-444440000000000000-44-44-44-44000000000000000000000000000000000000000000000000000000000000000
χ874-44-4004-2-2-24-4-4222-42224-2-2-200000000000004-4-22-22-22000000−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000000
χ884-44-4004-2-2-24-4-4222-42224-2-2-200000000000004-4-22-22-220000002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000000
χ894-44-4004-2-2-2-44-4222-42224-2-2-20000000000000-442-22-22-200000000000000−2i32i3−2i32i3−2i32i30000000000000000000000000000000000000000000
χ904-44-4004-2-2-2-44-4222-42224-2-2-20000000000000-442-22-22-2000000000000002i3−2i32i3−2i32i3−2i30000000000000000000000000000000000000000000
χ914-44-400-24-2-24-42-4222-422-24-2-20000000000000-224-4-22-220000−2i32i300−2i32i32i3−2i3000000000000000000000000000000000000000000000000000
χ924-44-400-24-2-24-42-4222-422-24-2-20000000000000-224-4-22-2200002i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000
χ934-44-400-24-2-2-442-4222-422-24-2-200000000000002-2-442-22-2000000000000−2i32i300−2i32i32i3−2i30000000000000000000000000000000000000000000
χ944-44-400-24-2-2-442-4222-422-24-2-200000000000002-2-442-22-20000000000002i3−2i3002i3−2i3−2i32i30000000000000000000000000000000000000000000
χ954-44-400-2-24-24-422-4222-42-2-24-20000000000000-22-224-4-220000−2i32i32i3−2i300−2i32i3000000000000000000000000000000000000000000000000000
χ964-44-400-2-24-24-422-4222-42-2-24-20000000000000-22-224-4-2200002i3−2i3−2i32i3002i3−2i3000000000000000000000000000000000000000000000000000
χ974-44-400-2-24-2-4422-4222-42-2-24-200000000000002-22-2-442-2000000000000−2i32i32i3−2i300−2i32i30000000000000000000000000000000000000000000
χ984-44-400-2-24-2-4422-4222-42-2-24-200000000000002-22-2-442-20000000000002i3−2i3−2i32i3002i3−2i30000000000000000000000000000000000000000000
χ994-44-400-2-2-244-4222-4222-4-2-2-240000000000000-22-22-224-40000−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000000
χ1004-44-400-2-2-244-4222-4222-4-2-2-240000000000000-22-22-224-400002i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000000
χ1014-44-400-2-2-24-44222-4222-4-2-2-2400000000000002-22-22-2-44000000000000−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000000
χ1024-44-400-2-2-24-44222-4222-4-2-2-2400000000000002-22-22-2-440000000000002i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000000
χ1034-4-4400444400-4-4-4-44444-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000004-4000000000
χ1044-4-4400444400-4-4-4-44444-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000-44000000000
χ1058-8-88008-4-4-400-84448-4-4-4-8444000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-8800-48-4-4004-844-48-4-44-844000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8800-4-48-40044-84-4-48-444-84000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8800-4-4-4800444-8-4-4-48444-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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