Finite Group Databasebeta

← Group #11787879

Character table — Group #11787879

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1222223344446666666666222236666666661212121212121212666666666666666612121212444412121212121212122266668888242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1
χ911-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ1011-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11-111-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ1111-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11-1-111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ1211-1-1-111111-1-1-1-1-1-1-1-1111111-1-111-111-1-1-1-111111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-11-1-111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ1311-1-1-111111-1-1-1-1-1-1-1-11111-1-11111-111-1-1-1-111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-111i−i−iiii−i−i−i−iiiii−i−i−i−iii
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χ944-4-44004-20000-442-2−2i32i3-422i3−2i30000-2002i3−2i32-2−2i32i320000000000000000000000000000-222-21−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i300000000000000000000000000
χ954-4-44004-20000-442-22i3−2i3-42−2i32i30000-200−2i32i32-22i3−2i3200000000000000000000000000002-2-22−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i300000000000000000000000000
χ964-4-44004-20000-442-22i3−2i3-42−2i32i30000-200−2i32i32-22i3−2i320000000000000000000000000000-222-21+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i300000000000000000000000000
χ978-88-800-480000-448-8004-8000000-40000-44004000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-40000-44-44−4i34i344−4i34i300002002i3−2i32-22i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-40000-44-444i3−4i3444i3−4i30000200−2i32i32-2−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-4800004-4-88004-8000000-400004-4004000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004-44-4−4i34i3444i3−4i30000200−2i32i3-222i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004-44-44i3−4i344−4i34i300002002i3−2i3-22−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000

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