Finite Group Databasebeta

← Group #13049596

Character table — Group #13049596

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1122222222222222222444444444444444444444444444444444444444444444444444444444444444444444444991818181818181818181818181818181818162162162162
order122333366666666666633333333333333333366666666666666666666666666666666666666666666666666666622266666666666666664444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii
χ511-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-11-11-1
χ611-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-1-1-1-1-1-11-11
χ711-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111i−i−ii
χ811-111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111−iii−i
χ92222-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-10000
χ102222-1-1-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111-2-21111110000
χ11222-12-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-10000
χ12222-12-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2111111-2-211110000
χ13222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-10000
χ14222-1-12-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-21111-2-2111111-2-2110000
χ15222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-122-1-1-1-1-1-1220000
χ16222-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2111111-2-2111111-2-20000
χ1722-22-1-1-12-1-1-1-2-2111111222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111122-222-1-1-1-1-1-1-2-21111110000
χ1822-22-1-1-12-1-1-1-2-2111111222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-2-22-2-211111122-1-1-1-1-1-10000
χ1922-2-12-1-1-12-1-111-2-2111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2-2-2-2-2111111111111111122-2-1-122-1-1-1-111-2-211110000
χ2022-2-12-1-1-12-1-111-2-2111122-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2-2-2-2-21111111111111111-2-2211-2-21111-1-122-1-1-1-10000
χ2122-2-1-12-1-1-12-11111-2-21122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111111111111111-2-2-2-2-2-2-2-21111111122-2-1-1-1-122-1-11111-2-2110000
χ2222-2-1-12-1-1-12-11111-2-21122-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111111111111111-2-2-2-2-2-2-2-211111111-2-221111-2-211-1-1-1-122-1-10000
χ2322-2-1-1-12-1-1-12111111-2-222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-222-2-1-1-1-1-1-122111111-2-20000
χ2422-2-1-1-12-1-1-12111111-2-222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-2-22111111-2-2-1-1-1-1-1-1220000
χ252-202222-2-2-2-200000000222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000002-202-22-22-22-2000000000000
χ262-202222-2-2-2-200000000222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-220-22-22-22-22000000000000
χ272-202-1-1-1-211100−i3i3−i3i3−i3i3222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32-202-2-11-11-1100−i3i3−i3i3−i3i30000
χ282-202-1-1-1-211100−i3i3−i3i3−i3i3222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-220-221-11-11-100i3−i3i3−i3i3−i30000
χ292-202-1-1-1-211100i3−i3i3−i3i3−i3222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32-202-2-11-11-1100i3−i3i3−i3i3−i30000
χ302-202-1-1-1-211100i3−i3i3−i3i3−i3222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-220-221-11-11-100−i3i3−i3i3−i3i30000
χ312-20-12-1-11-211−i3i300−i3i3i3−i322-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-2111111110000−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32-20-112-2-11-11−i3i300−i3i3i3−i30000
χ322-20-12-1-11-211−i3i300−i3i3i3−i322-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-2111111110000−i3−i3−i3−i3i3i3i3i300000000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2201-1-221-11-1i3−i300i3−i3−i3i30000
χ332-20-12-1-11-211i3−i300i3−i3−i3i322-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-2111111110000i3i3i3i3−i3−i3−i3−i300000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32-20-112-2-11-11i3−i300i3−i3−i3i30000
χ342-20-12-1-11-211i3−i300i3−i3−i3i322-1-1-1-12222-1-1-1-1-1-1-1-1-2-21111-2-2-2-2111111110000i3i3i3i3−i3−i3−i3−i300000000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2201-1-221-11-1−i3i300−i3i3i3−i30000
χ352-20-1-12-111-21−i3i3i3−i300−i3i322-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-211110000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i300000000−i3−i3−i3−i3i3i3i3i32-20-11-112-2-11−i3i3i3−i300−i3i30000
χ362-20-1-12-111-21−i3i3i3−i300−i3i322-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-211110000−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i300000000−i3−i3−i3−i3i3i3i3i3-2201-11-1-221-1i3−i3−i3i300i3−i30000
χ372-20-1-12-111-21i3−i3−i3i300i3−i322-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-211110000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i300000000i3i3i3i3−i3−i3−i3−i32-20-11-112-2-11i3−i3−i3i300i3−i30000
χ382-20-1-12-111-21i3−i3−i3i300i3−i322-1-1-1-1-1-1-1-12222-1-1-1-1-2-211111111-2-2-2-211110000i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i300000000i3i3i3i3−i3−i3−i3−i3-2201-11-1-221-1−i3i3i3−i300−i3i30000
χ392-20-1-1-12111-2−i3i3−i3i3i3−i30022-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-20000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3000000002-20-11-11-112-2−i3i3−i3i3i3−i3000000
χ402-20-1-1-12111-2−i3i3−i3i3i3−i30022-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-20000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i300000000-2201-11-11-1-22i3−i3i3−i3−i3i3000000
χ412-20-1-1-12111-2i3−i3i3−i3−i3i30022-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-20000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3000000002-20-11-11-112-2i3−i3i3−i3−i3i3000000
χ422-20-1-1-12111-2i3−i3i3−i3−i3i30022-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111111111-2-2-2-20000i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i300000000-2201-11-11-1-22−i3i3−i3i3i3−i3000000
χ4344444444444444444441-211-2-211-2-211-2-211-2-21-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-200000000000000000000000
χ444444444444444444444-21-2-211-2-211-2-211-2-211-21-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-21100000000000000000000000
χ454444-2-2-24-2-2-244-2-2-2-2-2-21-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32111-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i321111-2-211-2-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i321100000000000000000000000
χ464444-2-2-24-2-2-244-2-2-2-2-2-21-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i32111-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i321111-2-211-2-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i321100000000000000000000000
χ474444-2-2-24-2-2-244-2-2-2-2-2-2-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32-21-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i32-2-211-2-211-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3211−1−3i32−1+3i3200000000000000000000000
χ484444-2-2-24-2-2-244-2-2-2-2-2-2-21-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i32-21-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i32-2-211-2-211-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3211−1+3i32−1−3i3200000000000000000000000
χ49444-24-2-2-24-2-2-2-244-2-2-2-21-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1+3i32−1−3i32111-2−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2−1−3i32−1+3i3211−1−3i32−1+3i321111-2-211-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i3211−1+3i32−1−3i321100000000000000000000000
χ50444-24-2-2-24-2-2-2-244-2-2-2-21-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i32111-2−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2−1+3i32−1−3i3211−1+3i32−1−3i321111-2-211-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i3211−1−3i32−1+3i321100000000000000000000000
χ51444-24-2-2-24-2-2-2-244-2-2-2-2-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32-2111−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1+3i32−1−3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i32-2-211-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i3211−1+3i32−1−3i3200000000000000000000000
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χ1114-40-2-2-24222-42i3−2i32i3−2i3−2i32i3001-2−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i321111-2-2-121+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i32-1-1-1-122-33003+i32−3+i32−i3−i3−3−i323−i32i3i33+i32−3+i32−i3−i3−3−i323−i32i3i33−i32−3−i32i3i3−3+i323+i32−i3−i3-33003-30000000000000000000000000
χ1124-40-2-2-24222-42i3−2i32i3−2i3−2i32i3001-2−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i321111-2-2-121−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i32-1-1-1-1223-300−3+i323+i32−i3−i33−i32−3−i32i3i3−3+i323+i32−i3−i33−i32−3−i32i3i3−3−i323−i32i3i33+i32−3+i32−i3−i33-300-330000000000000000000000000
χ1134-40-2-2-24222-42i3−2i32i3−2i3−2i32i300-2111−1−3i32−1+3i3211−1−3i32−1+3i3211−1+3i32−1−3i32-2-2112-1-1-11+3i321−3i32-1-11+3i321−3i32-1-11−3i321+3i3222-1-100-33−i3−i33+i32−3+i32i3i3−3−i323−i32−i3−i33+i32−3+i32i3i3−3−i323−i32i3i33−i32−3−i32−i3−i3−3+i323+i3200-33003-300000000000000000000000
χ1144-40-2-2-24222-42i3−2i32i3−2i3−2i32i300-2111−1+3i32−1−3i3211−1+3i32−1−3i3211−1−3i32−1+3i32-2-2112-1-1-11−3i321+3i32-1-11−3i321+3i32-1-11+3i321−3i3222-1-1003-3−i3−i3−3+i323+i32i3i33−i32−3−i32−i3−i3−3+i323+i32i3i33−i32−3−i32i3i3−3−i323−i32−i3−i33+i32−3+i32003-300-3300000000000000000000000

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