Finite Group Databasebeta

← Group #11918902

Character table — Group #11918902

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11222222222444444444442244444444488888888888224444444448888888888822444444444888888888882244444444488888888888991818181818181818183636363636363636363636
order122224444882244444488836666121212122424661212121212122424249181818183636363672721818363636363636727272918181818363636367272181836363636363672727291818181836363636727218183636363636367272722222244448822444444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111
χ3111111111-1-11-1111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-1-1
χ4111111111-1-1-11-1-1-1111-1-1-1111111111-1-1-11-1-1-1111-1-1-1111111111-1-1-11-1-1-1111-1-1-1111111111-1-1-11-1-1-1111-1-1-1111111111-1-1-11-1-1-1111-1-1-1111111111-1-1-11-1-1-1111-1-1-1
χ5111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1
χ6111-1-11-1-1111-1-1-111-1111-1-1111-1-11-1-1111-1-1-111-1111-1-1111-1-11-1-1111-1-1-111-1111-1-1111-1-11-1-1111-1-1-111-1111-1-1111-1-11-1-1111-1-1-111-1111-1-1111-1-11-1-1111-1-1-111-1111-1-1
χ7111-1-11-1-11-1-11-11-1-1-111-111111-1-11-1-11-1-11-11-1-1-111-111111-1-11-1-11-1-11-11-1-1-111-111111-1-11-1-11-1-11-11-1-1-111-111111-1-11-1-11-1-11-11-1-1-111-111111-1-11-1-11-1-11-11-1-1-111-111
χ8111-1-11-1-11-1-1-11-1111-1-1-111111-1-11-1-11-1-1-11-1111-1-1-111111-1-11-1-11-1-1-11-1111-1-1-111111-1-11-1-11-1-1-11-1111-1-1-111111-1-11-1-11-1-1-11-1111-1-1-111111-1-11-1-11-1-1-11-1111-1-1-111
χ911-11-1-11-111111-11-1-11-1-11-111-11-1-11-111111-11-1-11-1-11-111-11-1-11-111111-11-1-11-1-11-111-11-1-11-111111-11-1-11-1-11-111-11-1-11-111111-11-1-11-1-11-111-11-1-11-111111-11-1-11-1-11-1
χ1011-11-1-11-1111-1-11-111-11-11-111-11-1-11-1111-1-11-111-11-11-111-11-1-11-1111-1-11-111-11-11-111-11-1-11-1111-1-11-111-11-11-111-11-1-11-1111-1-11-111-11-11-111-11-1-11-1111-1-11-111-11-11-1
χ1111-11-1-11-11-1-11-1-11-11-111-1111-11-1-11-11-1-11-1-11-11-111-1111-11-1-11-11-1-11-1-11-11-111-1111-11-1-11-11-1-11-1-11-11-111-1111-11-1-11-11-1-11-1-11-11-111-1111-11-1-11-11-1-11-1-11-11-111-11
χ1211-11-1-11-11-1-1-111-11-11-11-1111-11-1-11-11-1-1-111-11-11-11-1111-11-1-11-11-1-1-111-11-11-11-1111-11-1-11-11-1-1-111-11-11-11-1111-11-1-11-11-1-1-111-11-11-11-1111-11-1-11-11-1-1-111-11-11-11-11
χ1311-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-11
χ1411-1-11-1-11111-1-111-111-1-1-1111-1-11-1-11111-1-111-111-1-1-1111-1-11-1-11111-1-111-111-1-1-1111-1-11-1-11111-1-111-111-1-1-1111-1-11-1-11111-1-111-111-1-1-1111-1-11-1-11111-1-111-111-1-1-11
χ1511-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-1
χ1611-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-1
χ172222-2-2-22-200000000000002222-2-2-22-200000000000002222-2-2-22-200000000000002222-2-2-22-200000000000002222-2-2-22-200000000000002222-2-2-22-20000000000000
χ18222-22-22-2-20000000000000222-22-22-2-20000000000000222-22-22-2-20000000000000222-22-22-2-20000000000000222-22-22-2-20000000000000222-22-22-2-20000000000000
χ1922-2222-2-2-2000000000000022-2222-2-2-2000000000000022-2222-2-2-2000000000000022-2222-2-2-2000000000000022-2222-2-2-2000000000000022-2222-2-2-20000000000000
χ2022-2-2-2222-2000000000000022-2-2-2222-2000000000000022-2-2-2222-2000000000000022-2-2-2222-2000000000000022-2-2-2222-2000000000000022-2-2-2222-20000000000000
χ214-4000000022−22000000000004-4000000022−22000000000004-4000000022−22000000000004-4000000022−22000000000004-4000000022−22000000000004-4000000022−2200000000000
χ224-40000000−2222000000000004-40000000−2222000000000004-40000000−2222000000000004-40000000−2222000000000004-40000000−2222000000000004-40000000−222200000000000
χ2311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2411111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ25111111111-1-11-1111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-1-1111111111-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1111111
χ26111111111-1-1-11-1-1-1111-1-1-1111111111-1-1-11-1-1-1111-1-1-1111111111-1-1-11-1-1-1111-1-1-1111111111-1-1-11-1-1-1111-1-1-1111111111-1-1-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-1111
χ27111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1-1-1-111-111-1-1-1-1-1-111-111-111
χ28111-1-11-1-1111-1-1-111-1111-1-1111-1-11-1-1111-1-1-111-1111-1-1111-1-11-1-1111-1-1-111-1111-1-1111-1-11-1-1111-1-1-111-1111-1-1111-1-11-1-1111-1-1-111-1111-1-1-1-1-111-111-1-1-1111-1-11-1-1-111
χ29111-1-11-1-11-1-11-11-1-1-111-111111-1-11-1-11-1-11-11-1-1-111-111111-1-11-1-11-1-11-11-1-1-111-111111-1-11-1-11-1-11-11-1-1-111-111111-1-11-1-11-1-11-11-1-1-111-111-1-1-111-111-111-11-1111-1-11-1-1
χ30111-1-11-1-11-1-1-11-1111-1-1-111111-1-11-1-11-1-1-11-1111-1-1-111111-1-11-1-11-1-1-11-1111-1-1-111111-1-11-1-11-1-1-11-1111-1-1-111111-1-11-1-11-1-1-11-1111-1-1-111-1-1-111-111-1111-11-1-1-1111-1-1
χ3111-11-1-11-111111-11-1-11-1-11-111-11-1-11-111111-11-1-11-1-11-111-11-1-11-111111-11-1-11-1-11-111-11-1-11-111111-11-1-11-1-11-111-11-1-11-111111-11-1-11-1-11-1-1-11-111-11-1-1-1-1-11-111-111-11
χ3211-11-1-11-1111-1-11-111-11-11-111-11-1-11-1111-1-11-111-11-11-111-11-1-11-1111-1-11-111-11-11-111-11-1-11-1111-1-11-111-11-11-111-11-1-11-1111-1-11-111-11-11-1-1-11-111-11-1-1-111-11-1-11-11-11
χ3311-11-1-11-11-1-11-1-11-11-111-1111-11-1-11-11-1-11-1-11-11-111-1111-11-1-11-11-1-11-1-11-11-111-1111-11-1-11-11-1-11-1-11-11-111-1111-11-1-11-11-1-11-1-11-11-111-11-1-11-111-11-111-111-11-11-1-11-1
χ3411-11-1-11-11-1-1-111-11-11-11-1111-11-1-11-11-1-1-111-11-11-11-1111-11-1-11-11-1-1-111-11-11-11-1111-11-1-11-11-1-1-111-11-11-11-1111-11-1-11-11-1-1-111-11-11-11-11-1-11-111-11-1111-1-11-11-11-11-1
χ3511-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-1111-1-11-1-1111111-1-11-1-11-1-11-1-111-111-1-1-1-1-1-111-111-111-1
χ3611-1-11-1-11111-1-111-111-1-1-1111-1-11-1-11111-1-111-111-1-1-1111-1-11-1-11111-1-111-111-1-1-1111-1-11-1-11111-1-111-111-1-1-1111-1-11-1-11111-1-111-111-1-1-11-1-111-111-1-1-1-111-1-11-1-1111-1
χ3711-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-111-1-11-1-111-1-11-1-1-1111-111-1-1-111-111-1-111-1111-1-1-11-1-11
χ3811-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-111-1-11-1-111-1-1-1111-1-1-1111-1-1-111-111-1-1111-1-1-1111-1-1-11
χ392222-2-2-22-200000000000002222-2-2-22-200000000000002222-2-2-22-200000000000002222-2-2-22-200000000000002222-2-2-22-20000000000000-2-2-2-2222-220000000000000
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χ434-4000000022−22000000000004-4000000022−22000000000004-4000000022−22000000000004-4000000022−22000000000004-4000000022−2200000000000-440000000−222200000000000
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χ50222-2-22-2-2222-2-2-222-2222-2-2222-2-22-2-2222-2-2-222-2222-2-2-1-1-111-111-1-1-1111-1-11-1-1-111-1-1-111-111-1-1-1111-1-11-1-1-111-1-1-111-111-1-1-1111-1-11-1-1-1110000000000000000000000
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χ5922-2-22-2-222-2-22-2-2-2222-222-222-2-22-2-222-2-22-2-2-2222-222-2-1-111-111-1-111-1111-1-1-11-1-11-1-111-111-1-111-1111-1-1-11-1-11-1-111-111-1-111-1111-1-1-11-1-110000000000000000000000
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χ12622-2-22-2-222-2-2-2222-2-2-2222-2-1-111-111-1-1111-1-1-1111-1-1-11−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4+ζ68ζ4+ζ68−ζ4−ζ68−ζ4−ζ68−ζ4−ζ68ζ4+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52−ζ4+ζ44−ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4+ζ44−ζ52ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68−ζ44+ζ52−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68−ζ44+ζ52−ζ680000000000000000000000
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χ128444-44-44-4-40000000000000-2-2-22-22-2220000000000000−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ6800000000000002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5200000000000002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6800000000000000000000000000000000000
χ12944-4444-4-4-40000000000000-2-22-2-2-22220000000000000−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ682ζ4+2ζ6800000000000002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ5200000000000002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ6800000000000000000000000000000000000
χ13044-4-4-4444-40000000000000-2-2222-2-2-220000000000000−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ682ζ4+2ζ682ζ4+2ζ68−2ζ4−2ζ68−2ζ4−2ζ68−2ζ4−2ζ682ζ4+2ζ6800000000000002ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ52−2ζ4+2ζ44−2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ522ζ4−2ζ44+2ζ52−2ζ4+2ζ44−2ζ5200000000000002ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ68−2ζ44+2ζ52−2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ682ζ44−2ζ52+2ζ68−2ζ44+2ζ52−2ζ6800000000000000000000000000000000000
χ1318-8000000042−4200000000000-440000000−222200000000000−4ζ4−4ζ684ζ4+4ζ680000000−2ζ5−2ζ13+2ζ23+2ζ312ζ5+2ζ13−2ζ23−2ζ31000000000004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ520000000−2ζ7+2ζ13−2ζ31−2ζ53+2ζ61+2ζ712ζ7−2ζ13+2ζ31+2ζ53−2ζ61−2ζ71000000000004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ6800000002ζ5+2ζ7−2ζ23+2ζ53−2ζ61−2ζ71−2ζ5−2ζ7+2ζ23−2ζ53+2ζ61+2ζ71000000000000000000000000000000000
χ1328-80000000−424200000000000-44000000022−2200000000000−4ζ4−4ζ684ζ4+4ζ6800000002ζ5+2ζ13−2ζ23−2ζ31−2ζ5−2ζ13+2ζ23+2ζ31000000000004ζ4−4ζ44+4ζ52−4ζ4+4ζ44−4ζ5200000002ζ7−2ζ13+2ζ31+2ζ53−2ζ61−2ζ71−2ζ7+2ζ13−2ζ31−2ζ53+2ζ61+2ζ71000000000004ζ44−4ζ52+4ζ68−4ζ44+4ζ52−4ζ680000000−2ζ5−2ζ7+2ζ23−2ζ53+2ζ61+2ζ712ζ5+2ζ7−2ζ23+2ζ53−2ζ61−2ζ71000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1).