Finite Group Databasebeta

← Group #72276131

Character table — Group #72276131

Order 2592.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size1233666181818272727123366618181827272724661212123636365454542466121212363636545454246612121236363654545412336661818182727271233666181818272727246612121236363654545424661212123636365454542466121212363636545454
order1333333399266266666661818266266666661818266266666661818266412121212121212363641212266666661818266266666661818266266666661818266266666661818266412121212121212363641212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-11111111111-1-1-1
χ32222222-1-1-10002222222-1-1-10002222222-1-1-10002222222-1-1-10002222222-1-1-10002222222-1-1-10002222222-1-1-10002222222-1-1-10002222222-1-1-10002222222-1-1-1000
χ42222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-1000
χ52222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-1000
χ62222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-12000
χ733−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i32
χ833−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i32
χ933−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i32
χ1033−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i32
χ116-30003-30000006-30003-30000006-30003-30000006-30003-30000006-30003-30000006-30003-30000006-30003-30000006-30003-30000006-30003-30000006-30003-3000000
χ126-3003-300000006-3003-300000006-3003-300000006-3003-300000006-3003-300000006-3003-300000006-3003-300000006-3003-300000006-3003-300000006-3003-30000000
χ136-300-3030000006-300-3030000006-300-3030000006-300-3030000006-300-3030000006-300-3030000006-300-3030000006-300-3030000006-300-3030000006-300-303000000
χ14111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ151111111111-1-1-11111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111
χ162222222-1-1-10002222222-1-1-10002222222-1-1-1000-2-2-2-2-2-2-2111000-2-2-2-2-2-2-21110002222222-1-1-10002222222-1-1-10002222222-1-1-1000-2-2-2-2-2-2-2111000-2-2-2-2-2-2-2111000
χ172222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-1000-2-2-2-2111-211000-2-2-2-2111-2110002222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-1000-2-2-2-2111-211000-2-2-2-2111-211000
χ182222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-1000-2-2-2-21111-21000-2-2-2-21111-210002222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-1000-2-2-2-21111-21000-2-2-2-21111-21000
χ192222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-12000-2-2-2-211111-2000-2-2-2-211111-20002222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-12000-2-2-2-211111-2000-2-2-2-211111-2000
χ2033−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i32-3-33−3i323+3i32000000-11−i321+i32-3-33−3i323+3i32000000-11−i321+i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i32-3-33−3i323+3i32000000-11−i321+i32-3-33−3i323+3i32000000-11−i321+i32
χ2133−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i32-3-33−3i323+3i320000001−1+i32−1−i32-3-33−3i323+3i320000001−1+i32−1−i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i32-3-33−3i323+3i320000001−1+i32−1−i32-3-33−3i323+3i320000001−1+i32−1−i32
χ2233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i32-3-33+3i323−3i32000000-11+i321−i32-3-33+3i323−3i32000000-11+i321−i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i32-3-33+3i323−3i32000000-11+i321−i32-3-33+3i323−3i32000000-11+i321−i32
χ2333−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i32-3-33+3i323−3i320000001−1−i32−1+i32-3-33+3i323−3i320000001−1−i32−1+i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i32-3-33+3i323−3i320000001−1−i32−1+i32-3-33+3i323−3i320000001−1−i32−1+i32
χ246-30003-30000006-30003-30000006-30003-3000000-63000-33000000-63000-330000006-30003-30000006-30003-30000006-30003-3000000-63000-33000000-63000-33000000
χ256-3003-300000006-3003-300000006-3003-30000000-6300-330000000-6300-3300000006-3003-300000006-3003-300000006-3003-30000000-6300-330000000-6300-330000000
χ266-300-3030000006-300-3030000006-300-303000000-630030-3000000-630030-30000006-300-3030000006-300-3030000006-300-303000000-630030-3000000-630030-3000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ292222222-1-1-10002222222-1-1-1000-2-2-2-2-2-2-21110002222222-1-1-1000-2-2-2-2-2-2-21110002222222-1-1-10002222222-1-1-1000-2-2-2-2-2-2-21110002222222-1-1-1000-2-2-2-2-2-2-2111000
χ302222-1-1-12-1-10002222-1-1-12-1-1000-2-2-2-2111-2110002222-1-1-12-1-1000-2-2-2-2111-2110002222-1-1-12-1-10002222-1-1-12-1-1000-2-2-2-2111-2110002222-1-1-12-1-1000-2-2-2-2111-211000
χ312222-1-1-1-12-10002222-1-1-1-12-1000-2-2-2-21111-210002222-1-1-1-12-1000-2-2-2-21111-210002222-1-1-1-12-10002222-1-1-1-12-1000-2-2-2-21111-210002222-1-1-1-12-1000-2-2-2-21111-21000
χ322222-1-1-1-1-120002222-1-1-1-1-12000-2-2-2-211111-20002222-1-1-1-1-12000-2-2-2-211111-20002222-1-1-1-1-120002222-1-1-1-1-12000-2-2-2-211111-20002222-1-1-1-1-12000-2-2-2-211111-2000
χ3333−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i32-3-33−3i323+3i32000000-11−i321+i3233−3+3i32−3−3i320000001−1+i32−1−i32-3-33−3i323+3i32000000-11−i321+i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i32-3-33−3i323+3i32000000-11−i321+i3233−3+3i32−3−3i320000001−1+i32−1−i32-3-33−3i323+3i32000000-11−i321+i32
χ3433−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i32-3-33−3i323+3i320000001−1+i32−1−i3233−3+3i32−3−3i32000000-11−i321+i32-3-33−3i323+3i320000001−1+i32−1−i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i32-3-33−3i323+3i320000001−1+i32−1−i3233−3+3i32−3−3i32000000-11−i321+i32-3-33−3i323+3i320000001−1+i32−1−i32
χ3533−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i32-3-33+3i323−3i32000000-11+i321−i3233−3−3i32−3+3i320000001−1−i32−1+i32-3-33+3i323−3i32000000-11+i321−i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i32-3-33+3i323−3i32000000-11+i321−i3233−3−3i32−3+3i320000001−1−i32−1+i32-3-33+3i323−3i32000000-11+i321−i32
χ3633−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i32-3-33+3i323−3i320000001−1−i32−1+i3233−3−3i32−3+3i32000000-11+i321−i32-3-33+3i323−3i320000001−1−i32−1+i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i32-3-33+3i323−3i320000001−1−i32−1+i3233−3−3i32−3+3i32000000-11+i321−i32-3-33+3i323−3i320000001−1−i32−1+i32
χ376-30003-30000006-30003-3000000-63000-330000006-30003-3000000-63000-330000006-30003-30000006-30003-3000000-63000-330000006-30003-3000000-63000-33000000
χ386-3003-300000006-3003-30000000-6300-3300000006-3003-30000000-6300-3300000006-3003-300000006-3003-30000000-6300-3300000006-3003-30000000-6300-330000000
χ396-300-3030000006-300-303000000-630030-30000006-300-303000000-630030-30000006-300-3030000006-300-303000000-630030-30000006-300-303000000-630030-3000000
χ4011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111
χ411111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-11111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1
χ422222222-1-1-10002222222-1-1-1000-2-2-2-2-2-2-2111000-2-2-2-2-2-2-21110002222222-1-1-10002222222-1-1-10002222222-1-1-1000-2-2-2-2-2-2-2111000-2-2-2-2-2-2-21110002222222-1-1-1000
χ432222-1-1-12-1-10002222-1-1-12-1-1000-2-2-2-2111-211000-2-2-2-2111-2110002222-1-1-12-1-10002222-1-1-12-1-10002222-1-1-12-1-1000-2-2-2-2111-211000-2-2-2-2111-2110002222-1-1-12-1-1000
χ442222-1-1-1-12-10002222-1-1-1-12-1000-2-2-2-21111-21000-2-2-2-21111-210002222-1-1-1-12-10002222-1-1-1-12-10002222-1-1-1-12-1000-2-2-2-21111-21000-2-2-2-21111-210002222-1-1-1-12-1000
χ452222-1-1-1-1-120002222-1-1-1-1-12000-2-2-2-211111-2000-2-2-2-211111-20002222-1-1-1-1-120002222-1-1-1-1-120002222-1-1-1-1-12000-2-2-2-211111-2000-2-2-2-211111-20002222-1-1-1-1-12000
χ4633−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i32-3-33−3i323+3i32000000-11−i321+i32-3-33−3i323+3i32000000-11−i321+i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i3233−3+3i32−3−3i320000001−1+i32−1−i32-3-33−3i323+3i32000000-11−i321+i32-3-33−3i323+3i32000000-11−i321+i3233−3+3i32−3−3i320000001−1+i32−1−i32
χ4733−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i32-3-33−3i323+3i320000001−1+i32−1−i32-3-33−3i323+3i320000001−1+i32−1−i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i3233−3+3i32−3−3i32000000-11−i321+i32-3-33−3i323+3i320000001−1+i32−1−i32-3-33−3i323+3i320000001−1+i32−1−i3233−3+3i32−3−3i32000000-11−i321+i32
χ4833−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i32-3-33+3i323−3i32000000-11+i321−i32-3-33+3i323−3i32000000-11+i321−i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i3233−3−3i32−3+3i320000001−1−i32−1+i32-3-33+3i323−3i32000000-11+i321−i32-3-33+3i323−3i32000000-11+i321−i3233−3−3i32−3+3i320000001−1−i32−1+i32
χ4933−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i32-3-33+3i323−3i320000001−1−i32−1+i32-3-33+3i323−3i320000001−1−i32−1+i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i3233−3−3i32−3+3i32000000-11+i321−i32-3-33+3i323−3i320000001−1−i32−1+i32-3-33+3i323−3i320000001−1−i32−1+i3233−3−3i32−3+3i32000000-11+i321−i32
χ506-30003-30000006-30003-3000000-63000-33000000-63000-330000006-30003-30000006-30003-30000006-30003-3000000-63000-33000000-63000-330000006-30003-3000000
χ516-3003-300000006-3003-30000000-6300-330000000-6300-3300000006-3003-300000006-3003-300000006-3003-30000000-6300-330000000-6300-3300000006-3003-30000000
χ526-300-3030000006-300-303000000-630030-3000000-630030-30000006-300-3030000006-300-3030000006-300-303000000-630030-3000000-630030-30000006-300-303000000
χ532222222222222-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000002222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000
χ542222222222-2-2-2-2-2-2-2-2-2-2-2-2-22220000000000000000000000000000000000000002222222222-2-2-2-2-2-2-2-2-2-2-2-2-2222000000000000000000000000000000000000000
χ554444444-2-2-2000-4-4-4-4-4-4-42220000000000000000000000000000000000000000004444444-2-2-2000-4-4-4-4-4-4-4222000000000000000000000000000000000000000000
χ564444-2-2-24-2-2000-4-4-4-4222-4220000000000000000000000000000000000000000004444-2-2-24-2-2000-4-4-4-4222-422000000000000000000000000000000000000000000
χ574444-2-2-2-24-2000-4-4-4-42222-420000000000000000000000000000000000000000004444-2-2-2-24-2000-4-4-4-42222-42000000000000000000000000000000000000000000
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χ1176-300-3030000006-300-303000000-630030-3000000-630030-30000006-300-303000000-630030-3000000-630030-30000006-300-3030000006-300-303000000-630030-3000000
χ1182222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222000000000000000000000000000000000000000
χ1192222222222-2-2-2-2-2-2-2-2-2-2-2-2-2222000000000000000000000000000000000000000-2-2-2-2-2-2-2-2-2-22222222222222-2-2-2000000000000000000000000000000000000000
χ1204444444-2-2-2000-4-4-4-4-4-4-4222000000000000000000000000000000000000000000-4-4-4-4-4-4-42220004444444-2-2-2000000000000000000000000000000000000000000
χ1214444-2-2-24-2-2000-4-4-4-4222-422000000000000000000000000000000000000000000-4-4-4-4222-4220004444-2-2-24-2-2000000000000000000000000000000000000000000
χ1224444-2-2-2-24-2000-4-4-4-42222-42000000000000000000000000000000000000000000-4-4-4-42222-420004444-2-2-2-24-2000000000000000000000000000000000000000000
χ1234444-2-2-2-2-24000-4-4-4-422222-4000000000000000000000000000000000000000000-4-4-4-422222-40004444-2-2-2-2-24000000000000000000000000000000000000000000
χ12466−3+3i3−3−3i30000002−1+i3−1−i3-6-63−3i33+3i3000000-21−i31+i3000000000000000000000000000000000000000-6-63−3i33+3i3000000-21−i31+i366−3+3i3−3−3i30000002−1+i3−1−i3000000000000000000000000000000000000000
χ12566−3+3i3−3−3i3000000-21−i31+i3-6-63−3i33+3i30000002−1+i3−1−i3000000000000000000000000000000000000000-6-63−3i33+3i30000002−1+i3−1−i366−3+3i3−3−3i3000000-21−i31+i3000000000000000000000000000000000000000
χ12666−3−3i3−3+3i30000002−1−i3−1+i3-6-63+3i33−3i3000000-21+i31−i3000000000000000000000000000000000000000-6-63+3i33−3i3000000-21+i31−i366−3−3i3−3+3i30000002−1−i3−1+i3000000000000000000000000000000000000000
χ12766−3−3i3−3+3i3000000-21+i31−i3-6-63+3i33−3i30000002−1−i3−1+i3000000000000000000000000000000000000000-6-63+3i33−3i30000002−1−i3−1+i366−3−3i3−3+3i3000000-21+i31−i3000000000000000000000000000000000000000
χ12812-60006-6000000-126000-66000000000000000000000000000000000000000000000-126000-6600000012-60006-6000000000000000000000000000000000000000000000
χ12912-6006-60000000-12600-660000000000000000000000000000000000000000000000-12600-66000000012-6006-60000000000000000000000000000000000000000000000
χ13012-600-606000000-1260060-6000000000000000000000000000000000000000000000-1260060-600000012-600-606000000000000000000000000000000000000000000000

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