Finite Group Databasebeta

← Group #72245787

Character table — Group #72245787

Order 10368.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133
size112222233336666661212121218181818181818181818181818182424242424242424242424242424242424242424242424243232323232323232323232323636363636369696969696969696969696969696969696969696144144144144144144144144144144144144216216216216216216216216216216216216216216216216216216216216216216216216
order122366633664444661212121222666612121212121212129999991818181818181818181818181818181818183336666666666666663366666699918181818181818181836363636363636363636363624446688881212121212122424242424242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ41111111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211111111111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321+i32-1-1-1-11−i321+i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ51111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ61111111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321−i32-1-1-1-11+i321−i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ711-11-1-111111-1-111-1-111-1-1-11-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-11-11-1111-1-11-1-11111-1-11-1-11-1-111-1-111-1-111-1-11-11-11111-1-1-1-11-11-111-1-111-1-1
χ811-11-1-111111-1-111-1-111-1-1-11-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-11-11-1111-1-11-1-11111-1-11-1-11-1-111-1-111-1-111-1-1-11-11-1-1-1-11111-11-11-1-111-1-111
χ911-11-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i3211-1-1-111−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32111111-1-1-1-1-1-11-1−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-1−1+i32−1−i3211-1-11−i321+i32−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32
χ1011-11-1-11−1+i32−1−i32−1+i32−1−i32-1-1111−i321+i3211-1-1-111−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32111111-1-1-1-1-1-11-1−1+i321−i32−1−i321+i32−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−1+i32−1−i321-1-1−1+i321−i321−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11-111−i321+i32-1-111−1+i32−1−i321−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32
χ1111-11-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i3211-1-1-111+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32111111-1-1-1-1-1-11-1−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-1−1−i32−1+i3211-1-11+i321−i32−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32
χ1211-11-1-11−1−i32−1+i32−1−i32−1+i32-1-1111+i321−i3211-1-1-111+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32111111-1-1-1-1-1-11-1−1−i321+i32−1+i321−i32−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321−1−i32−1+i321-1-1−1−i321+i321+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11-111+i321−i32-1-111−1−i32−1+i321+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32
χ13222222222222222222222222222222222222-12-12-122-1-122-1-122-1-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-12-12-1000000000000000000000000
χ1422222222222222222222222222222222222-12-12-12-1-122-1-122-1-122-12-12-12-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-12-12-12-12-12000000000000000000000000
χ1522222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ1622222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ172222222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i32-1−1+i31−i32−1−i31+i3222-1-1−1+i3−1+i31−i321−i32−1−i3−1−i31+i321+i322-1−1+i31−i32−1−i31+i32-1-1-1-1-1-1-1-1-1-1-1-122−1+i3−1+i3−1−i3−1−i31−i321+i321−i321−i321−i321+i321+i321+i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i322-12-1−1+i31−i32−1+i31−i32−1−i31+i32−1−i31+i32000000000000000000000000
χ182222222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-121−i32−1+i31+i32−1−i3-1-1221−i321−i32−1+i3−1+i31+i321+i32−1−i3−1−i3-121−i32−1+i31+i32−1−i3-1-1-1-1-1-1-1-1-1-1-1-122−1+i3−1+i3−1−i3−1−i31−i321+i321−i321−i321−i321+i321+i321+i32-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-12-121−i32−1+i31−i32−1+i31+i32−1−i31+i32−1−i3000000000000000000000000
χ192222222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i3222222222222222−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-11−i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000
χ202222222−1+i3−1−i3−1+i3−1−i32222−1+i3−1−i3222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-1-1-1-1-1-1-1-1-1-1-122−1+i3−1+i3−1−i3−1−i31−i321+i321−i321−i321−i321+i321+i321+i322−1+i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000000000
χ212222222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i32-1−1−i31+i32−1+i31−i3222-1-1−1−i3−1−i31+i321+i32−1+i3−1+i31−i321−i322-1−1−i31+i32−1+i31−i32-1-1-1-1-1-1-1-1-1-1-1-122−1−i3−1−i3−1+i3−1+i31+i321−i321+i321+i321+i321−i321−i321−i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i322-12-1−1−i31+i32−1−i31+i32−1+i31−i32−1+i31−i32000000000000000000000000
χ222222222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-121+i32−1−i31−i32−1+i3-1-1221+i321+i32−1−i3−1−i31−i321−i32−1+i3−1+i3-121+i32−1−i31−i32−1+i3-1-1-1-1-1-1-1-1-1-1-1-122−1−i3−1−i3−1+i3−1+i31+i321−i321+i321+i321+i321−i321−i321−i32-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-12-121+i32−1−i31+i32−1−i31−i32−1+i31−i32−1+i3000000000000000000000000
χ232222222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i3222222222222222−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-11+i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000
χ242222222−1−i3−1+i3−1−i3−1+i32222−1−i3−1+i3222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-122−1−i3−1−i3−1+i3−1+i31+i321−i321+i321+i321+i321−i321−i321−i322−1−i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000000000
χ2522-22-2-222222-2-222-2-222-2-2-22-2-222-2-2-2-222222-12-12-1-2-211-2-211-2-2112-12-12-1-1-1-1-1-1-11111112-22-22-2-1-1-111-111-1-1-1-111-111-1112-1-212-1-212-1-21000000000000000000000000
χ2622-22-2-222222-2-222-2-222-2-2-22-2-222-2-2-2-22222-12-12-1211-2-211-2-211-2-2-12-12-12-1-1-1-1-1-11111112-22-22-2-1-1-111-111-1-1-1-111-111-111-121-2-121-2-121-2000000000000000000000000
χ2722-22-2-222222-2-222-2-222-2-2-22-2-222-2-2-2-22222-1-1-1-1-1-1111111111111-1-1-1-1-1-1222222-2-2-2-2-2-22-22-22-2222-2-22-2-2-1-1-1-111-111-111-1-111-1-111-1-111000000000000000000000000
χ2822-22-2-222222-2-222-2-222-2-2-22-2-222-2-2-2-22222-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111112-22-22-2-1-1-111-1112222-2-22-2-22-2-2-1-111-1-111-1-111000000000000000000000000
χ2922-22-2-22−1+i3−1−i3−1+i3−1−i3-2-2221−i31+i322-2-2-221−i31+i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i32-1−1+i31−i32−1−i31+i32-2-2111−i31−i3−1+i32−1+i321+i31+i3−1−i32−1−i322-1−1+i31−i32−1−i31+i32-1-1-1-1-1-11111112-2−1+i31−i3−1−i31+i31−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i322-1-21−1+i31−i321−i3−1+i32−1−i31+i321+i3−1−i32000000000000000000000000
χ3022-22-2-22−1+i3−1−i3−1+i3−1−i3-2-2221−i31+i322-2-2-221−i31+i3−1+i3−1−i31−i31−i31+i31+i3−1+i3−1+i3−1−i3−1−i3-121−i32−1+i31+i32−1−i311-2-2−1+i32−1+i321−i31−i3−1−i32−1−i321+i31+i3-121−i32−1+i31+i32−1−i3-1-1-1-1-1-11111112-2−1+i31−i3−1−i31+i31−i321+i321−i32−1+i32−1+i321+i32−1−i32−1−i32-11−i321+i32-1111−i32−1+i32−1+i321+i32−1−i32−1−i32-121-21−i32−1+i3−1+i321−i31+i32−1−i3−1−i321+i3000000000000000000000000
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χ120181818-9-9-9-90000-6-6-6-600333322888800000000000000000000000000000000000000000000-1-1-4-4-4-400000000000000000000000000000000000000000000000000000000
χ121181818-9-9-9-90000-6-6-6-600333322−4+4i3−4−4i3−4+4i3−4−4i300000000000000000000000000000000000000000000-1-12−2i32−2i32+2i32+2i300000000000000000000000000000000000000000000000000000000
χ122181818-9-9-9-90000-6-6-6-600333322−4−4i3−4+4i3−4−4i3−4+4i300000000000000000000000000000000000000000000-1-12+2i32+2i32−2i32−2i300000000000000000000000000000000000000000000000000000000
χ1231818-18-999-9000066-6-60033-3-3-22-8-88800000000000000000000000000000000000000000000-11-44-4400000000000000000000000000000000000000000000000000000000
χ1241818-18-999-9000066-6-60033-3-3-224−4i34+4i3−4+4i3−4−4i300000000000000000000000000000000000000000000-112−2i3−2+2i32+2i3−2−2i300000000000000000000000000000000000000000000000000000000
χ1251818-18-999-9000066-6-60033-3-3-224+4i34−4i3−4−4i3−4+4i300000000000000000000000000000000000000000000-112+2i3−2−2i32−2i3−2+2i300000000000000000000000000000000000000000000000000000000
χ1261818-18-999-900006-18-618003-9-396-60000000000000000000000000000000000000000000000003-3000000000000000000000000000000000000000000000000000000000000
χ1271818-18-999-90000-18618-600-939-36-60000000000000000000000000000000000000000000000003-3000000000000000000000000000000000000000000000000000000000000
χ12824-240-1212i3−12i31200000000000000000000000000000000000000000000000000006-3-3-633003i3−3i3−3i33i300000000000000000000000000000000000000000000000000000000000000
χ12924-240-1212i3−12i3120000000000000000000000000000000000000000000000000000-36-33-63−3i33i3003i3−3i300000000000000000000000000000000000000000000000000000000000000
χ13024-240-1212i3−12i3120000000000000000000000000000000000000000000000000000-3-3633-63i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000000000000
χ13124-240-12−12i312i31200000000000000000000000000000000000000000000000000006-3-3-63300−3i33i33i3−3i300000000000000000000000000000000000000000000000000000000000000
χ13224-240-12−12i312i3120000000000000000000000000000000000000000000000000000-36-33-633i3−3i300−3i33i300000000000000000000000000000000000000000000000000000000000000
χ13324-240-12−12i312i3120000000000000000000000000000000000000000000000000000-3-3633-6−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000000000000

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