Finite Group Databasebeta

← Group #11786699

Character table — Group #11786699

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121212121212121212122424242424242424242424242424363636367272
order1222223344446666661212121236666666121212121212121212126688121224242424242424242424242424242424444444444444121212121212121288121212121212121224242424224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91-11-1-11111-1-11-111-1-1-111-1-111-1-1-1-11111-1-111-1-1-111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−ii−ii−iii−i−i11-1-11111-1-1-1-11-1ii−i−iii−i−i11-1-11-11-1i−i
χ101-11-1-11111-1-11-111-1-1-111-1-111-1-1-1-11111-1-111-1-1-111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−ii−ii−i−i−iii11-1-11111-1-1-1-1-11ii−i−i−i−iii-1-111-11-11−ii
χ111-11-1-11111-1-11-111-1-1-111-1-111-1-1-1-11111-1-111-1-1-111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−ii−iiii−i−i-1-111-1-1-1-111111-1−i−iiiii−i−i11-1-1-11-11−ii
χ121-11-1-11111-1-11-111-1-1-111-1-111-1-1-1-11111-1-111-1-1-111-1i−i1-1ii−i−iiiiiii−i−i−i−i−i−i−ii−ii−i−iii-1-111-1-1-1-11111-11−i−iii−i−iii-1-1111-11-1i−i
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χ944-4-44004-20000-4-422-2423−23−2323-20002-220000023−230−23230000000000000000000000000000000-222-21+3−1−31−3−1+3−1−31+3−1+31−300000000000000000000
χ954-4-44004-20000-4-422-24−232323−23-20002-2200000−2323023−2300000000000000000000000000000002-2-22−1+31−3−1−31+31−3−1+31+3−1−300000000000000000000
χ964-4-44004-20000-4-422-24−232323−23-20002-2200000−2323023−230000000000000000000000000000000-222-21−3−1+31+3−1−3−1+31−3−1−31+300000000000000000000
χ9788-8-800-480000-44-88-840000-4000-4440000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-444-44443−4343−4320002-2-200000−23230−2323000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444-444−4343−434320002-2-20000023−23023−23000000000000000000000000000000000000000000000000000000000000000
χ1008-8-8800-48000044-8-88-40000-40004-440000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-8800-4-400004444-4-443−43−43432000-22-200000−2323023−23000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8800-4-400004444-4-4−434343−432000-22-20000023−230−2323000000000000000000000000000000000000000000000000000000000000000

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