Finite Group Databasebeta

← Group #11918965

Character table — Group #11918965

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11222222222222222224444444444444444444444444444444444444444444444488888888888888888888888888888888888888888888991818181818181818183636363636363636363636
order1222234444688999181818222244446668881212121218181818181818181824243636363636363636363636367272727272726666121212121818181818181818181818182424243636363636363636363636367272727272727272724422224448822224444888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111
χ41111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1
χ511111111111-1-1111111111-11-1-1-1111-1-1-11111111111111-1-1111111111111-1-1-1-1-1-1111-11-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-11-1-1-1111-1-1-1-1
χ611111111111-1-1111111111-11-1-1-1111-1-1-11111111111111-1-1111111111111-1-1-1-1-1-1111-11-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1111-1-1-11111
χ711111111111-1-1111111-1-1-11-1111111-1-1-11111111111111-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1111-1-1-11-1-1-1
χ811111111111-1-1111111-1-1-11-1111111-1-1-11111111111111-1-1111111111111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1111-1111
χ9111-1-111-1-1111111111111-1-1-111-11-1-11-1-11-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111111111111-1-1-111-1111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-11111-1-11-1-111-111-111-1-11-1-1
χ10111-1-111-1-1111111111111-1-1-111-11-1-11-1-11-1-11111-1-1-1-1-1-111111-1-1-1-1-1-111111111111-1-1-111-1111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-1-1-1-1-111-111-1-11-1-11-1-111-111
χ11111-1-111-1-11111111111-1-1111-1-111-1-11-1-11-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-1111-1-11-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1111-1-11-1-1111-1-1
χ12111-1-111-1-11111111111-1-1111-1-111-1-11-1-11-1-11111-1-1-1-1-1-111111-1-1-1-1-1-1111111111-1-1111-1-11-1-1-1-1-1-11111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-111-1-1-111-111-1-1-111
χ13111-1-111-1-111-1-111111111-11-1-1-111-1-1-1111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111-11-1-1-11111111-1-1-1111-111-1-1-1-1-1-1-1-1-1111-1-1-11111111111-1-11-1-1-1-1-1-1-1111-11-111
χ14111-1-111-1-111-1-111111111-11-1-1-111-1-1-1111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-111-11-1-1-11111111-1-1-1111-111-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-111-11111111-1-1-11-11-1-1
χ15111-1-111-1-111-1-1111111-1-11-1111-11-1-1-1111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-11111111111-1-11-1-1-1-1111-1-1-11-1-111
χ16111-1-111-1-111-1-1111111-1-11-1111-11-1-1-1111-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1111111-1-1-1-111-11111-1-1-1111-111-1-1
χ1711-11-11-11-111111111111-11-1-11-11-11-1-11-1-11-11-1-1-1111-1-1-111-1-1-1111-1-1-11111111111-11-1-11-11111-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1111-1-1-1111-1-1-1111-11-1-11-111-11-111-11-1-11-1
χ1811-11-11-11-111111111111-11-1-11-11-11-1-11-1-11-11-1-1-1111-1-1-111-1-1-1111-1-1-11111111111-11-1-11-11111-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1111-1-1-1111-1-1-1-1-1-11-111-11-1-11-11-1-11-111-11
χ1911-11-11-11-11111111111-11-111-11-1-11-1-11-1-11-11-1-1-1111-1-1-111-1-1-1111-1-1-1111111111-11-111-11-1-1-1-1111-1-1-1111-11-1111-1-1-1111-1-1-1-1-1-1111-1-1-1111-11-1-11-1111-11-1-11-11-11-1
χ2011-11-11-11-11111111111-11-111-11-1-11-1-11-1-11-11-1-1-1111-1-1-111-1-1-1111-1-1-1111111111-11-111-11-1-1-1-1111-1-1-1111-11-1111-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-11-111-11-1-1-11-111-11-11-11
χ2111-11-11-11-111-1-11111111-111-1-11-1-11-11-11-11-11-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1-1-11-111-1-11-1111-1-1-11111111-11-1-1-1-1-1-1111-1-1-1111-1-1-1111111-11-1-11-1-1-1-1-11-11-1111-11
χ2211-11-11-11-111-1-11111111-111-1-11-1-11-11-11-11-11-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1-1-11-111-1-11-1111-1-1-11111111-11-1-1-1-1-1-1111-1-1-1111-1-1-1111-1-1-11-111-111111-11-11-1-1-11-1
χ2311-11-11-11-111-1-1111111-11-1-111-11-11-11-11-11-11-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1-1-1-11-1-111-11-1-1-1111-1-1-1-1-1-11-11111111-1-1-1111111-1-1-1111111-11-1-11-1-1-111-11-11-1-11-11
χ2411-11-11-11-111-1-1111111-11-1-111-11-11-11-11-11-11-1-1-1111-1-1-1-1-1-1-1-1111-1-1-1111-1-1-1-1-1-1-11-1-111-11-1-1-1111-1-1-1-1-1-11-11111111-1-1-1111111-1-1-1111-1-1-11-111-1111-1-11-11-111-11-1
χ2511-1-111-1-1111111111111-1-1111-1-1-1-11-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-11111111111111-1-1111-1-1111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111111-1-11-1-11-1-11
χ2611-1-111-1-1111111111111-1-1111-1-1-1-11-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-11111111111111-1-1111-1-1111-1-1-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-111-1-1-1-1-111-111-111-1
χ2711-1-111-1-111111111111-111-1-1-111-1-11-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-111-1-1-111-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11-1-1111-1-111-111-1-1-11
χ2811-1-111-1-111111111111-111-1-1-111-1-11-1-11-1-111-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-111-1-1-111-1-1-1111111-1-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1111-1-1-111-111-1-1-111-1-11-1-1111-1
χ2911-1-111-1-1111-1-11111111-1-1-11-111-1-1111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-111111-1-1-1-1-1-1-1-1-111-1111-1-1-1111111111111-1-1-1111-1-11-1-11-1-11-1111-1-1-111-1
χ3011-1-111-1-1111-1-11111111-1-1-11-111-1-1111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1-11-111111-1-1-1-1-1-1-1-1-111-1111-1-1-1111111111111-1-1-1-1-1-111-111-111-11-1-1-1111-1-11
χ3111-1-111-1-1111-1-1111111-1111-11-1-1-1-1111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-11-1-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1111-1-11-1-11-1-1-11-1-1-111111-1
χ3211-1-111-1-1111-1-1111111-1111-11-1-1-1-1111-1-1-111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-11-1-1-1-1-111111111111-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-1111-1111-1-1-1-1-11
χ332222222222222-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000
χ342222222222222-1-1-1-1-1-1-2-2-2-2-2-2-2-22222222222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111222111111111111-1-1-1-1-1-1-1-1-10000000000000000000000
χ3522222222222-2-2-1-1-1-1-1-1222-22-2-2-2222-2-2-22222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111222-22-2-2-2-1-1-1-1-1-1-1-1-1111-2-2-2-1-1-11111111111111111110000000000000000000000
χ3622222222222-2-2-1-1-1-1-1-1-2-2-22-2222222-2-2-22222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111-2-2-22-2222111111111-1-1-1-2-2-2111-1-1-1-1-1-1-1-1-11111111110000000000000000000000
χ3722222-12222-122ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ6822222222-1-1-1222-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52ζ4−ζ44+ζ52−ζ4−ζ68−ζ4−ζ68-1-1-1-1-1-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68-1-1-1ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ68ζ44−ζ52+ζ68ζ4−ζ44+ζ52−ζ4−ζ680000000000000000000000
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χ1224-400040000-4−2i22i2444-4-4-4000000000000000000000000000−2i22i2000000000000−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000000−4i4i0000000−222200000000000
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χ1244-400040000-42i2−2i2444-4-4-40000000000000000000000000002i2−2i20000000000002i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000000−4i4i000000022−2200000000000
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χ1278-8000-400004−4i24i24ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ680000000000000000000000000002i2−2i2000000000000−2ζ5+2ζ7−2ζ23−2ζ53+2ζ61−2ζ712ζ5−2ζ7+2ζ23+2ζ53−2ζ61+2ζ71−2ζ7−2ζ13−2ζ31+2ζ53−2ζ61+2ζ712ζ7+2ζ13+2ζ31−2ζ53+2ζ61−2ζ712ζ5+2ζ13+2ζ23+2ζ31−2ζ5−2ζ13−2ζ23−2ζ31000000000000000000000000000000000000000000000000000000000000000000
χ1288-8000-400004−4i24i24ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ680000000000000000000000000002i2−2i2000000000000−2ζ7−2ζ13−2ζ31+2ζ53−2ζ61+2ζ712ζ7+2ζ13+2ζ31−2ζ53+2ζ61−2ζ712ζ5+2ζ13+2ζ23+2ζ31−2ζ5−2ζ13−2ζ23−2ζ31−2ζ5+2ζ7−2ζ23−2ζ53+2ζ61−2ζ712ζ5−2ζ7+2ζ23+2ζ53−2ζ61+2ζ71000000000000000000000000000000000000000000000000000000000000000000
χ1298-8000-400004−4i24i2−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ520000000000000000000000000002i2−2i20000000000002ζ5+2ζ13+2ζ23+2ζ31−2ζ5−2ζ13−2ζ23−2ζ31−2ζ5+2ζ7−2ζ23−2ζ53+2ζ61−2ζ712ζ5−2ζ7+2ζ23+2ζ53−2ζ61+2ζ71−2ζ7−2ζ13−2ζ31+2ζ53−2ζ61+2ζ712ζ7+2ζ13+2ζ31−2ζ53+2ζ61−2ζ71000000000000000000000000000000000000000000000000000000000000000000
χ1308-8000-4000044i2−4i24ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ52−4ζ4−4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68000000000000000000000000000−2i22i20000000000002ζ5−2ζ7+2ζ23+2ζ53−2ζ61+2ζ71−2ζ5+2ζ7−2ζ23−2ζ53+2ζ61−2ζ712ζ7+2ζ13+2ζ31−2ζ53+2ζ61−2ζ71−2ζ7−2ζ13−2ζ31+2ζ53−2ζ61+2ζ71−2ζ5−2ζ13−2ζ23−2ζ312ζ5+2ζ13+2ζ23+2ζ31000000000000000000000000000000000000000000000000000000000000000000
χ1318-8000-4000044i2−4i24ζ4−4ζ44+4ζ52−4ζ4−4ζ684ζ44−4ζ52+4ζ68−4ζ4+4ζ44−4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68000000000000000000000000000−2i22i20000000000002ζ7+2ζ13+2ζ31−2ζ53+2ζ61−2ζ71−2ζ7−2ζ13−2ζ31+2ζ53−2ζ61+2ζ71−2ζ5−2ζ13−2ζ23−2ζ312ζ5+2ζ13+2ζ23+2ζ312ζ5−2ζ7+2ζ23+2ζ53−2ζ61+2ζ71−2ζ5+2ζ7−2ζ23−2ζ53+2ζ61−2ζ71000000000000000000000000000000000000000000000000000000000000000000
χ1328-8000-4000044i2−4i2−4ζ4−4ζ684ζ44−4ζ52+4ζ684ζ4−4ζ44+4ζ524ζ4+4ζ68−4ζ44+4ζ52−4ζ68−4ζ4+4ζ44−4ζ52000000000000000000000000000−2i22i2000000000000−2ζ5−2ζ13−2ζ23−2ζ312ζ5+2ζ13+2ζ23+2ζ312ζ5−2ζ7+2ζ23+2ζ53−2ζ61+2ζ71−2ζ5+2ζ7−2ζ23−2ζ53+2ζ61−2ζ712ζ7+2ζ13+2ζ31−2ζ53+2ζ61−2ζ71−2ζ7−2ζ13−2ζ31+2ζ53−2ζ61+2ζ71000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 72 (ζ72 = 1); i = ζ18.