Finite Group Databasebeta

← Group #72269015

Character table — Group #72269015

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size14466912121814466912121814466912121814466912121828812121824243628812121824243628812121824243628812121824243628812121824243628812121824243641616242436484872416162424364848724161624243648487241616242436484872
order1332226642662226642662226642662226644121244412124412124441212482424888242488242488824248824248882424882424888242484121244412124412124441212441212444121244121244412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-1
χ3111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1
χ4111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11
χ522200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-2000
χ641-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-10
χ741-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-20010
χ84-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-100
χ94-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-200100
χ10111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-111
χ12111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11
χ13111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1
χ1422200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-200022200-2000-2-2-2002000-2-2-2002000-2-2-2002000-2-2-2002000
χ1541-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-10-4-120-20010-4-120-20010-4-120-20010-4-120-20010
χ1641-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-20010-4-120200-10-4-120200-10-4-120200-10-4-120200-10
χ174-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-100-42-1-200100-42-1-200100-42-1-200100-42-1-200100
χ184-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-200100-42-1200-100-42-1200-100-42-1200-100-42-1200-100
χ19111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ201111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111
χ21111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11
χ22111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1
χ2322200-200022200-200022200-200022200-200022200-200022200-2000-2-2-2002000-2-2-2002000-2-2-2002000-2-2-200200022200-200022200-2000-2-2-2002000-2-2-2002000
χ2441-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-10-4-120-20010-4-120-20010-4-120-20010-4-120-2001041-20200-1041-20200-10-4-120-20010-4-120-20010
χ2541-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-20010-4-120200-10-4-120200-10-4-120200-10-4-120200-1041-20-2001041-20-20010-4-120200-10-4-120200-10
χ264-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-100-42-1-200100-42-1-200100-42-1-200100-42-1-2001004-21200-1004-21200-100-42-1-200100-42-1-200100
χ274-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-200100-42-1200-100-42-1200-100-42-1200-100-42-1200-1004-21-2001004-21-200100-42-1200-100-42-1200-100
χ28111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ291111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-11111-111-1-1
χ30111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1111-111-11-1
χ31111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1111-1-11-1-11111-1-11-1-11
χ3222200-200022200-200022200-200022200-200022200-200022200-2000-2-2-2002000-2-2-2002000-2-2-2002000-2-2-2002000-2-2-2002000-2-2-200200022200-200022200-2000
χ3341-20200-1041-20200-1041-20200-1041-20200-1041-20200-1041-20200-10-4-120-20010-4-120-20010-4-120-20010-4-120-20010-4-120-20010-4-120-2001041-20200-1041-20200-10
χ3441-20-2001041-20-2001041-20-2001041-20-2001041-20-2001041-20-20010-4-120200-10-4-120200-10-4-120200-10-4-120200-10-4-120200-10-4-120200-1041-20-2001041-20-20010
χ354-21200-1004-21200-1004-21200-1004-21200-1004-21200-1004-21200-100-42-1-200100-42-1-200100-42-1-200100-42-1-200100-42-1-200100-42-1-2001004-21200-1004-21200-100
χ364-21-2001004-21-2001004-21-2001004-21-2001004-21-2001004-21-200100-42-1200-100-42-1200-100-42-1200-100-42-1200-100-42-1200-100-42-1200-1004-21-2001004-21-200100
χ37111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiii−i−i−i−i−i−i−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−i
χ381111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-11111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111iiii−iii−i−i−i−i−i−ii−i−iiiiiii−iii−i−i−i−i−i−ii−i−iii
χ39111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11iii−iii−ii−i−i−i−ii−i−ii−iiiii−iii−ii−i−i−i−ii−i−ii−ii
χ40111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1111-1-11-1-11111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1iii−i−ii−i−ii−i−i−iii−iii−iiii−i−ii−i−ii−i−i−iii−iii−i
χ4122200-200022200-2000-2-2-2002000-2-2-2002000-2-2-200200022200-200022200-200022200-2000-2-2-2002000-2-2-20020002i2i2i00−2i000−2i−2i−2i002i0002i2i2i00−2i000−2i−2i−2i002i000
χ4241-20200-1041-20200-10-4-120-20010-4-120-20010-4-120-2001041-20200-1041-20200-1041-20200-10-4-120-20010-4-120-200104ii−2i02i00−i0−4i−i2i0−2i00i04ii−2i02i00−i0−4i−i2i0−2i00i0
χ4341-20-2001041-20-20010-4-120200-10-4-120200-10-4-120200-1041-20-2001041-20-2001041-20-20010-4-120200-10-4-120200-104ii−2i0−2i00i0−4i−i2i02i00−i04ii−2i0−2i00i0−4i−i2i02i00−i0
χ444-21200-1004-21200-100-42-1-200100-42-1-200100-42-1-2001004-21200-1004-21200-1004-21200-100-42-1-200100-42-1-2001004i−2ii2i00−i00−4i2i−i−2i00i004i−2ii2i00−i00−4i2i−i−2i00i00
χ454-21-2001004-21-200100-42-1200-100-42-1200-100-42-1200-1004-21-2001004-21-2001004-21-200100-42-1200-100-42-1200-1004i−2ii−2i00i00−4i2i−i2i00−i004i−2ii−2i00i00−4i2i−i2i00−i00
χ46111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−iiiiiiiiii−i−i−i−i−i−i−i−i−iiiiiiiiii
χ471111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-11111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111−i−i−i−ii−i−iiiiiii−iii−i−i−i−i−i−ii−i−iiiiiii−iii−i−i
χ48111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11−i−i−ii−i−ii−iiiii−iii−ii−i−i−i−ii−i−ii−iiiii−iii−ii−i
χ49111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1111-1-11-1-11111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1−i−i−iii−iii−iiii−i−ii−i−ii−i−i−iii−iii−iiii−i−ii−i−ii
χ5022200-200022200-2000-2-2-2002000-2-2-2002000-2-2-200200022200-200022200-200022200-2000-2-2-2002000-2-2-2002000−2i−2i−2i002i0002i2i2i00−2i000−2i−2i−2i002i0002i2i2i00−2i000
χ5141-20200-1041-20200-10-4-120-20010-4-120-20010-4-120-2001041-20200-1041-20200-1041-20200-10-4-120-20010-4-120-20010−4i−i2i0−2i00i04ii−2i02i00−i0−4i−i2i0−2i00i04ii−2i02i00−i0
χ5241-20-2001041-20-20010-4-120200-10-4-120200-10-4-120200-1041-20-2001041-20-2001041-20-20010-4-120200-10-4-120200-10−4i−i2i02i00−i04ii−2i0−2i00i0−4i−i2i02i00−i04ii−2i0−2i00i0
χ534-21200-1004-21200-100-42-1-200100-42-1-200100-42-1-2001004-21200-1004-21200-1004-21200-100-42-1-200100-42-1-200100−4i2i−i−2i00i004i−2ii2i00−i00−4i2i−i−2i00i004i−2ii2i00−i00
χ544-21-2001004-21-200100-42-1200-100-42-1200-100-42-1200-1004-21-2001004-21-2001004-21-200100-42-1200-100-42-1200-100−4i2i−i2i00−i004i−2ii−2i00i00−4i2i−i2i00−i004i−2ii−2i00i00
χ55111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii
χ561111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-11111-111-1-1iiii−iii−i−i−i−i−i−ii−i−iii−i−i−i−ii−i−iiiiiii−iii−i−i
χ57111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1111-111-11-1iii−iii−ii−i−i−i−ii−i−ii−ii−i−i−ii−i−ii−iiiii−iii−ii−i
χ58111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1111-1-11-1-11-1-1-111-111-1-1-1-111-111-1111-1-11-1-11111-1-11-1-11iii−i−ii−i−ii−i−i−iii−iii−i−i−i−iii−iii−iiii−i−ii−i−ii
χ5922200-200022200-2000-2-2-2002000-2-2-2002000-2-2-200200022200-2000-2-2-2002000-2-2-200200022200-200022200-20002i2i2i00−2i000−2i−2i−2i002i000−2i−2i−2i002i0002i2i2i00−2i000
χ6041-20200-1041-20200-10-4-120-20010-4-120-20010-4-120-2001041-20200-10-4-120-20010-4-120-2001041-20200-1041-20200-104ii−2i02i00−i0−4i−i2i0−2i00i0−4i−i2i0−2i00i04ii−2i02i00−i0
χ6141-20-2001041-20-20010-4-120200-10-4-120200-10-4-120200-1041-20-20010-4-120200-10-4-120200-1041-20-2001041-20-200104ii−2i0−2i00i0−4i−i2i02i00−i0−4i−i2i02i00−i04ii−2i0−2i00i0
χ624-21200-1004-21200-100-42-1-200100-42-1-200100-42-1-2001004-21200-100-42-1-200100-42-1-2001004-21200-1004-21200-1004i−2ii2i00−i00−4i2i−i−2i00i00−4i2i−i−2i00i004i−2ii2i00−i00
χ634-21-2001004-21-200100-42-1200-100-42-1200-100-42-1200-1004-21-200100-42-1200-100-42-1200-1004-21-2001004-21-2001004i−2ii−2i00i00−4i2i−i2i00−i00−4i2i−i2i00−i004i−2ii−2i00i00
χ64111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i
χ651111-111-1-11111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-1-1-1-1-11-1-111-1-1-1-11-1-1111111-111-1-11111-111-1-1−i−i−i−ii−i−iiiiiii−iii−i−iiiii−iii−i−i−i−i−i−ii−i−iii
χ66111-111-11-1111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1-1-1-11-1-11-11-1-1-11-1-11-11111-111-11-1111-111-11-1−i−i−ii−i−ii−iiiii−iii−ii−iiii−iii−ii−i−i−i−ii−i−ii−ii
χ67111-1-11-1-11111-1-11-1-11-1-1-111-111-1-1-1-111-111-1-1-1-111-111-1111-1-11-1-11-1-1-111-111-1-1-1-111-111-1111-1-11-1-11111-1-11-1-11−i−i−iii−iii−iiii−i−ii−i−iiiii−i−ii−i−ii−i−i−iii−iii−i
χ6822200-200022200-2000-2-2-2002000-2-2-2002000-2-2-200200022200-2000-2-2-2002000-2-2-200200022200-200022200-2000−2i−2i−2i002i0002i2i2i00−2i0002i2i2i00−2i000−2i−2i−2i002i000
χ6941-20200-1041-20200-10-4-120-20010-4-120-20010-4-120-2001041-20200-10-4-120-20010-4-120-2001041-20200-1041-20200-10−4i−i2i0−2i00i04ii−2i02i00−i04ii−2i02i00−i0−4i−i2i0−2i00i0
χ7041-20-2001041-20-20010-4-120200-10-4-120200-10-4-120200-1041-20-20010-4-120200-10-4-120200-1041-20-2001041-20-20010−4i−i2i02i00−i04ii−2i0−2i00i04ii−2i0−2i00i0−4i−i2i02i00−i0
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Here i is the imaginary unit (i² = −1).