Finite Group Databasebeta

← Group #14518782

Character table — Group #14518782

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111222222222222333333444444666666666666666666666666666666121212121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818272727272727545454545454818181818181
order12336633333366666644121212123336663333333333336666666666661212121212123333333333336666666666661212121212121212121212121212121212121212121212124412121212121212121212226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51-111-1-1111111-1-1-1-1-1-1i−iii−i−i111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iii−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−ii−iii−i−iiii−i−i−i1-111-1-1
χ61-111-1-1111111-1-1-1-1-1-1i−iii−i−i111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iii−i−i−i111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−ii−i−iii−i−i−iiii-11-1-111
χ71-111-1-1111111-1-1-1-1-1-1−ii−i−iii111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−iiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiii−iii−i−iiii−i−i−i-11-1-111
χ81-111-1-1111111-1-1-1-1-1-1−ii−i−iii111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−iiii111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−ii−i−iii−i−i−iiii1-111-1-1
χ9222222222222222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1000000000000000000
χ10222222222222222222222222222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000000000000
χ11222222222222222222222222222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1000000000000000000
χ12222222222222222222222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222000000000000000000
χ13222222222222222222-2-2-2-2-2-2222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2111111111-2-2-2111111111000000000000000000
χ14222222222222222222-2-2-2-2-2-2222222-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1111-2-2-2111111111-2-2-2111111000000000000000000
χ15222222222222222222-2-2-2-2-2-2222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-1-1-1111111-2-2-2111111111-2-2-2111000000000000000000
χ16222222222222222222-2-2-2-2-2-2222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1222111111111-2-2-2111111111-2-2-2000000000000000000
χ17222222222-1-1-1222-1-1-1000000-1-1-1-1-1-1222222222222222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000222222-1-1-1-1-1-1000000
χ18222222222-1-1-1222-1-1-1000000-1-1-1-1-1-1222222222222222222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2-2-2111111000000
χ19222222-1-1-1222-1-1-1222222222-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000000000000
χ20222222-1-1-1222-1-1-1222222222-1-1-1-1-1-12-1-1-12-1-12-1-12-12-1-1-12-1-12-1-12-1-1-1-1-1-1-12-1-1-12-1-12-1-12-12-1-1-12-1-12-1-12-12-1-1-12-1-12-1-12-12-1-1-12-1-12-1-12-1000000000000000000
χ21222222-1-1-1222-1-1-1222222222-1-1-1-1-1-12-1-1-1-12-1-12-1-122-1-1-1-12-1-12-1-12-1-1-1-1-1-12-1-1-1-12-1-12-1-122-1-1-1-12-1-12-1-122-1-1-1-12-1-12-1-122-1-1-1-12-1-12-1-12000000000000000000
χ22222222-1-1-1222-1-1-1222222222-1-1-1-1-1-1-12-12-1-1-12-1-1-12-12-12-1-1-12-1-1-12-1-1-1-1-1-1-12-12-1-1-12-1-1-12-12-12-1-1-12-1-1-12-12-12-1-1-12-1-1-12-12-12-1-1-12-1-1-12000000000000000000
χ23222222-1-1-1222-1-1-1222222222-1-1-1-1-1-1-12-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1000000000000000000
χ24222222-1-1-1222-1-1-1222222222-1-1-1-1-1-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1-12-1-1-1-1-1-1-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1-12-1000000000000000000
χ25222222-1-1-1222-1-1-1222222222-1-1-1-1-1-1-1-122-1-1-1-12-12-1-1-122-1-1-1-12-12-1-1-1-1-1-1-1-1-122-1-1-1-12-12-1-1-122-1-1-1-12-12-1-1-122-1-1-1-12-12-1-1-122-1-1-1-12-12-1000000000000000000
χ26222222-1-1-1222-1-1-1222222222-1-1-1-1-1-1-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-12-1-1-1-1-1-1-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-12000000000000000000
χ27222222-1-1-1222-1-1-1222222222-1-1-1-1-1-1-1-12-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-1-1-1-1-1-1-12-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-12-1-12-12-12-1-1000000000000000000
χ28222222-1-1-1222-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-11111112-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1-211-211-211-211-211-211-211-211000000000000000000
χ29222222-1-1-1222-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-12-1-1-12-1-12-1-12-12-1-1-12-1-12-1-12-11111112-1-1-12-1-12-1-12-12-1-1-12-1-12-1-12-1-2111-211-211-21-2111-211-211-21000000000000000000
χ30222222-1-1-1222-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-12-1-1-1-12-1-12-1-122-1-1-1-12-1-12-1-121111112-1-1-1-12-1-12-1-122-1-1-1-12-1-12-1-12-21111-211-211-2-21111-211-211-2000000000000000000
χ31222222-1-1-1222-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-1-12-12-1-1-12-1-1-12-12-12-1-1-12-1-1-12111111-12-12-1-1-12-1-1-12-12-12-1-1-12-1-1-121-21-2111-2111-21-21-2111-2111-2000000000000000000
χ32222222-1-1-1222-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-1-12-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1111111-12-1-12-1-1-122-1-1-12-1-12-1-1-122-1-11-211-2111-2-2111-211-2111-2-211000000000000000000
χ33222222-1-1-1222-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-1-12-1-1-122-1-1-12-1-12-1-1-122-1-1-12-1111111-12-1-1-122-1-1-12-1-12-1-1-122-1-1-12-11-2111-2-2111-211-2111-2-2111-21000000000000000000
χ34222222-1-1-1222-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-12-12-1-1-122-1-1-1-12-12-1111111-1-122-1-1-1-12-12-1-1-122-1-1-1-12-12-111-2-21111-21-2111-2-21111-21-21000000000000000000
χ35222222-1-1-1222-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-1-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-12111111-1-12-12-12-1-1-1-12-1-12-12-12-1-1-1-1211-21-21-21111-211-21-21-21111-2000000000000000000
χ36222222-1-1-1222-1-1-1222-2-2-2-2-2-2-1-1-1-1-1-1-1-12-1-12-12-12-1-1-1-12-1-12-12-12-1-1111111-1-12-1-12-12-12-1-1-1-12-1-12-12-12-1-111-211-21-21-21111-211-21-21-211000000000000000000
χ372-222-2-2222222-2-2-2-2-2-22i−2i2i2i−2i−2i222-2-2-2222-1-1-1-1-1-1-1-1-1-2-2-21111111112i2i2i−2i−2i−2i222-1-1-1-1-1-1-1-1-1-2-2-21111111112i2i2i−i−i−i−i−i−i−i−i−i−2i−2i−2iiiiiiiiii000000000000000000
χ382-222-2-2222222-2-2-2-2-2-22i−2i2i2i−2i−2i222-2-2-2-1-1-1222-1-1-1-1-1-1111-2-2-21111112i2i2i−2i−2i−2i-1-1-1222-1-1-1-1-1-1111-2-2-2111111−i−i−i2i2i2i−i−i−i−i−i−iiii−2i−2i−2iiiiiii000000000000000000
χ392-222-2-2222222-2-2-2-2-2-22i−2i2i2i−2i−2i222-2-2-2-1-1-1-1-1-1222-1-1-1111111-2-2-21112i2i2i−2i−2i−2i-1-1-1-1-1-1222-1-1-1111111-2-2-2111−i−i−i−i−i−i2i2i2i−i−i−iiiiiii−2i−2i−2iiii000000000000000000
χ402-222-2-2222222-2-2-2-2-2-22i−2i2i2i−2i−2i222-2-2-2-1-1-1-1-1-1-1-1-1222111111111-2-2-22i2i2i−2i−2i−2i-1-1-1-1-1-1-1-1-1222111111111-2-2-2−i−i−i−i−i−i−i−i−i2i2i2iiiiiiiiii−2i−2i−2i000000000000000000
χ412-222-2-2222222-2-2-2-2-2-2−2i2i−2i−2i2i2i222-2-2-2222-1-1-1-1-1-1-1-1-1-2-2-2111111111−2i−2i−2i2i2i2i222-1-1-1-1-1-1-1-1-1-2-2-2111111111−2i−2i−2iiiiiiiiii2i2i2i−i−i−i−i−i−i−i−i−i000000000000000000
χ422-222-2-2222222-2-2-2-2-2-2−2i2i−2i−2i2i2i222-2-2-2-1-1-1222-1-1-1-1-1-1111-2-2-2111111−2i−2i−2i2i2i2i-1-1-1222-1-1-1-1-1-1111-2-2-2111111iii−2i−2i−2iiiiiii−i−i−i2i2i2i−i−i−i−i−i−i000000000000000000
χ432-222-2-2222222-2-2-2-2-2-2−2i2i−2i−2i2i2i222-2-2-2-1-1-1-1-1-1222-1-1-1111111-2-2-2111−2i−2i−2i2i2i2i-1-1-1-1-1-1222-1-1-1111111-2-2-2111iiiiii−2i−2i−2iiii−i−i−i−i−i−i2i2i2i−i−i−i000000000000000000
χ442-222-2-2222222-2-2-2-2-2-2−2i2i−2i−2i2i2i222-2-2-2-1-1-1-1-1-1-1-1-1222111111111-2-2-2−2i−2i−2i2i2i2i-1-1-1-1-1-1-1-1-1222111111111-2-2-2iiiiiiiii−2i−2i−2i−i−i−i−i−i−i−i−i−i2i2i2i000000000000000000
χ452-222-2-2222-1-1-1-2-2-2111000000-1-1-1111222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-11111111111110000000000000000000000002i−2i2i2i−2i−2i−i−i−iiii000000
χ462-222-2-2222-1-1-1-2-2-2111000000-1-1-1111222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000−2i2i−2i−2i2i2iiii−i−i−i000000
χ472-222-2-2-1-1-1222111-2-2-22i−2i2i2i−2i−2i-1-1-11112-1-12-1-12-1-12-1-1-211-211-211-211−i−i−iiii2-1-12-1-12-1-12-1-1-211-211-211-2112i−i−i2i−i−i2i−i−i2i−i−i−2iii−2iii−2iii−2iii000000000000000000
χ482-222-2-2-1-1-1222111-2-2-22i−2i2i2i−2i−2i-1-1-11112-1-1-12-1-12-1-12-1-2111-211-211-21−i−i−iiii2-1-1-12-1-12-1-12-1-2111-211-211-212i−i−i−i2i−i−i2i−i−i2i−i−2iiii−2iii−2iii−2ii000000000000000000
χ492-222-2-2-1-1-1222111-2-2-22i−2i2i2i−2i−2i-1-1-11112-1-1-1-12-1-12-1-12-21111-211-211-2−i−i−iiii2-1-1-1-12-1-12-1-12-21111-211-211-22i−i−i−i−i2i−i−i2i−i−i2i−2iiiii−2iii−2iii−2i000000000000000000
χ502-222-2-2-1-1-1222111-2-2-22i−2i2i2i−2i−2i-1-1-1111-12-12-1-1-12-1-1-121-21-2111-2111-2−i−i−iiii-12-12-1-1-12-1-1-121-21-2111-2111-2−i2i−i2i−i−i−i2i−i−i−i2ii−2ii−2iiii−2iiii−2i000000000000000000
χ512-222-2-2-1-1-1222111-2-2-22i−2i2i2i−2i−2i-1-1-1111-12-1-12-1-1-122-1-11-211-2111-2-211−i−i−iiii-12-1-12-1-1-122-1-11-211-2111-2-211−i2i−i−i2i−i−i−i2i2i−i−ii−2iii−2iiii−2i−2iii000000000000000000
χ522-222-2-2-1-1-1222111-2-2-22i−2i2i2i−2i−2i-1-1-1111-12-1-1-122-1-1-12-11-2111-2-2111-21−i−i−iiii-12-1-1-122-1-1-12-11-2111-2-2111-21−i2i−i−i−i2i2i−i−i−i2i−ii−2iiii−2i−2iiii−2ii000000000000000000
χ532-222-2-2-1-1-1222111-2-2-22i−2i2i2i−2i−2i-1-1-1111-1-122-1-1-1-12-12-111-2-21111-21-21−i−i−iiii-1-122-1-1-1-12-12-111-2-21111-21-21−i−i2i2i−i−i−i−i2i−i2i−iii−2i−2iiiii−2ii−2ii000000000000000000
χ542-222-2-2-1-1-1222111-2-2-22i−2i2i2i−2i−2i-1-1-1111-1-12-12-12-1-1-1-1211-21-21-21111-2−i−i−iiii-1-12-12-12-1-1-1-1211-21-21-21111-2−i−i2i−i2i−i2i−i−i−i−i2iii−2ii−2ii−2iiiii−2i000000000000000000
χ552-222-2-2-1-1-1222111-2-2-22i−2i2i2i−2i−2i-1-1-1111-1-12-1-12-12-12-1-111-211-21-21-211−i−i−iiii-1-12-1-12-12-12-1-111-211-21-21-211−i−i2i−i−i2i−i2i−i2i−i−iii−2iii−2ii−2ii−2iii000000000000000000
χ562-222-2-2-1-1-1222111-2-2-2−2i2i−2i−2i2i2i-1-1-11112-1-12-1-12-1-12-1-1-211-211-211-211iii−i−i−i2-1-12-1-12-1-12-1-1-211-211-211-211−2iii−2iii−2iii−2iii2i−i−i2i−i−i2i−i−i2i−i−i000000000000000000
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χ1196-6−3+3i3−3−3i33−3i33+3i36−3+3i3−3−3i3-33−3i323+3i32-63−3i33+3i33−3+3i32−3−3i32000000-33−3i323+3i323−3+3i32−3−3i320000000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2ζ72ζ11−2ζ7−2ζ11−i−ζ7−ζ11iζ7ζ11000000
χ1206-6−3+3i3−3−3i33−3i33+3i36−3+3i3−3−3i3-33−3i323+3i32-63−3i33+3i33−3+3i32−3−3i32000000-33−3i323+3i323−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2ζ7−2ζ112ζ72ζ11iζ7ζ11−i−ζ7−ζ11000000
χ1216-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i326−3+3i3−3−3i33−3+3i32−3−3i32-63−3i33+3i36i−6i6ζ76ζ11−6ζ7−6ζ11-33−3i323+3i323−3+3i32−3−3i32000000000000000000000000−3i−3ζ7−3ζ113i3ζ73ζ11000000000000000000000000000000000000000000000000000000000000000000
χ1226-6−3+3i3−3−3i33−3i33+3i3-33−3i323+3i326−3+3i3−3−3i33−3+3i32−3−3i32-63−3i33+3i3−6i6i−6ζ7−6ζ116ζ76ζ11-33−3i323+3i323−3+3i32−3−3i320000000000000000000000003i3ζ73ζ11−3i−3ζ7−3ζ11000000000000000000000000000000000000000000000000000000000000000000
χ1231212−6−6i3−6+6i3−6−6i3−6+6i3-63+3i33−3i3-63+3i33−3i3-63+3i33−3i3-63+3i33−3i30000003−3−3i32−3+3i323−3−3i32−3+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1241212−6+6i3−6−6i3−6+6i3−6−6i3-63−3i33+3i3-63−3i33+3i3-63−3i33+3i3-63−3i33+3i30000003−3+3i32−3−3i323−3+3i32−3−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12512-12−6−6i3−6+6i36+6i36−6i3-63+3i33−3i3-63+3i33−3i36−3−3i3−3+3i36−3−3i3−3+3i30000003−3−3i32−3+3i32-33+3i323−3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12612-12−6+6i3−6−6i36−6i36+6i3-63−3i33+3i3-63−3i33+3i36−3+3i3−3−3i36−3+3i3−3−3i30000003−3+3i32−3−3i32-33−3i323+3i32000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.