Finite Group Databasebeta

← Group #13161011

Character table — Group #13161011

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size111122222222222222222222224444444444444444444444444444444488888888888888888888888888888888121212121212121212121212121212121212181818181818242424242424242424363636363636363636108108216
order12223333344666666666666666223333666666666666666612121212121212121212666666666666666666666666121212121212121288242424242424242424242424242424244412121212266666666444121212121212882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111111111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1
χ611111111111111111111111111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ711111111111111111111111111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11
χ811111111111111111111111111-1-11111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1111111-1
χ9222222222-2-22222222222222220022220000222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000222222000000000-200-2-20000000
χ10222222222-2-22222222222222220022220000222222222222-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2-2-2000000000200220000000
χ11222222-1-1-12222-1-1-1-1-1-122-1-1-122222-1-1-1222222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000222-1-1-1-1-1-1000000000000
χ12222222-1-1-12222-1-1-1-1-1-122-1-1-122222-1-1-1222222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000-2-2-2111111000000000000
χ13222222-1-1-12222-1-1-1-1-1-122-1-1-122-2-22-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-1-2-2111111-2-2-2-211111111111122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2111111000000000000
χ14222222-1-1-12222-1-1-1-1-1-122-1-1-122-2-22-1-1-1-2-2-2-222-1-1-1-1-1-12-1-1-1222-1-1-12-1-1-1-2-2111111-2-2-2-211111111111122-1-1-1-1-1-1-2-2-2-2-2-2111111111111000000222-1-1-1-1-1-1000000000000
χ1522222-12-1-122-1-122-1-1-1-12-12-1-12222-12-1-12222-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000002-1-122-1-1-1-1000000000000
χ1622222-12-1-122-1-122-1-1-1-12-12-1-12222-12-1-12222-1-122-1-1-1-1-12-1-122-12-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-2-2-211111111000000-211-2-21111000000000000
χ1722222-12-1-122-1-122-1-1-1-12-12-1-122-2-2-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-122-12-1-1-12-1-111-2-211111111-2-2-2-211111111-1-122-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000-211-2-21111000000000000
χ1822222-12-1-122-1-122-1-1-1-12-12-1-122-2-2-12-1-1-2-2-2-2-1-122-1-1-1-1-12-1-122-12-1-1-12-1-111-2-211111111-2-2-2-211111111-1-122-1-1-1-1-2-21111-2-2-2-2111111110000002-1-122-1-1-1-1000000000000
χ1922222-1-12-122-1-1-1-122-1-12-1-12-12222-1-12-12222-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-10000002-1-1-1-122-1-1000000000000
χ2022222-1-12-122-1-1-1-122-1-12-1-12-12222-1-12-12222-1-1-1-122-1-1-1-12-122-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-2-211111111-2-2-2-21111000000-21111-2-211000000000000
χ2122222-1-12-122-1-1-1-122-1-12-1-12-122-2-2-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-122-1-12-1-1-12-11111-2-21111111111-2-2-2-21111-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1000000-21111-2-211000000000000
χ2222222-1-12-122-1-1-1-122-1-12-1-12-122-2-2-1-12-1-2-2-2-2-1-1-1-122-1-1-1-12-122-1-12-1-1-12-11111-2-21111111111-2-2-2-21111-1-1-1-122-1-1-2-211111111-2-2-2-211110000002-1-1-1-122-1-1000000000000
χ2322222-1-1-1222-1-1-1-1-1-1222-1-1-122222-1-1-122222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000002-1-1-1-1-1-122000000000000
χ2422222-1-1-1222-1-1-1-1-1-1222-1-1-122222-1-1-122222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2111111111111-2-2-2-2000000-2111111-2-2000000000000
χ2522222-1-1-1222-1-1-1-1-1-1222-1-1-1222-2-2-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-12111111-2-2111111111111-2-2-2-2-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000-2111111-2-2000000000000
χ2622222-1-1-1222-1-1-1-1-1-1222-1-1-1222-2-2-1-1-12-2-2-2-2-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-12111111-2-2111111111111-2-2-2-2-1-1-1-1-1-122-2-2111111111111-2-2-2-20000002-1-1-1-1-1-122000000000000
χ272222-122222222222222-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022-1-1-1-1000000000222-1-1-1-1-1-1000
χ282222-122222222222222-12222-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-21111000000000-2-2-2111111000
χ292222-122222222222222-12222-1-1-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000000000000022-1-1-1-10000000002-2-2-1-11111000
χ302222-122222222222222-12222-1-1-2-2-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000000000000000-2-21111000000000-22211-1-1-1-1000
χ312222-12222-2-222222222-12222-1-100-1-1-1-1−i3−i3i3i3-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-200000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i31111111100000000000000000022-1-1-1-1000000000-20011−i3−i3i3i3000
χ322222-12222-2-222222222-12222-1-100-1-1-1-1−i3−i3i3i3-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-200000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i311111111000000000000000000-2-21111000000000200-1-1i3i3−i3−i3000
χ332222-12222-2-222222222-12222-1-100-1-1-1-1i3i3−i3−i3-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-200000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i31111111100000000000000000022-1-1-1-1000000000-20011i3i3−i3−i3000
χ342222-12222-2-222222222-12222-1-100-1-1-1-1i3i3−i3−i3-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-2-2-2-2-200000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i311111111000000000000000000-2-21111000000000200-1-1−i3−i3i3i3000
χ3522-2-2222222-2-2-2-2-2-2-2-2-222222-2-20022220000-2-2-2-2-2-2-2-222222-22222-2-2-2-20000000000000000000000002-22-22-22-200000000000000000000000000000000002i−2i002i−2i2i−2i000
χ3622-2-2222222-2-2-2-2-2-2-2-2-222222-2-20022220000-2-2-2-2-2-2-2-222222-22222-2-2-2-20000000000000000000000002-22-22-22-20000000000000000000000000000000000−2i2i00−2i2i−2i2i000
χ3722-2-222222-22-2-2-2-2-2-2-2-222222-2-22-222222-22-2-2-2-2-2-2-2-2-22222-22-2-2-2-222222-22-22-22-22-22-22-22-22-22-22-22-2-22-22-22-22000000000000000000000000000000000000000000000
χ3822-2-222222-22-2-2-2-2-2-2-2-222222-2-2-222222-22-22-2-2-2-2-2-2-2-22222-22-2-2-2-22222-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000000
χ3922-2-222-1-1-1-22-2-211111122-1-1-1-2-22-22-1-1-12-22-2-2-21111112-1-1-1-22-21112-1-1-12-2-11-11-112-22-2-11-11-11-11-11-11-221-11-11-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000−i3i3−i3i3−i3i3000000000000
χ4022-2-222-1-1-1-22-2-211111122-1-1-1-2-22-22-1-1-12-22-2-2-21111112-1-1-1-22-21112-1-1-12-2-11-11-112-22-2-11-11-11-11-11-11-221-11-11-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000i3−i3i3−i3i3−i3000000000000
χ4122-2-222-1-1-1-22-2-211111122-1-1-1-2-2-222-1-1-1-22-22-2-21111112-1-1-1-22-21112-1-1-1-221-11-11-1-22-221-11-11-11-11-11-1-221-11-11-1000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000i3−i3i3−i3i3−i3000000000000
χ4222-2-222-1-1-1-22-2-211111122-1-1-1-2-2-222-1-1-1-22-22-2-21111112-1-1-1-22-21112-1-1-1-221-11-11-1-22-221-11-11-11-11-11-1-221-11-11-1000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000−i3i3−i3i3−i3i3000000000000
χ4322-2-22-12-1-1-2211-2-211112-12-1-1-2-22-2-12-1-12-22-211-2-21111-12-1-1-221-211-12-1-1-112-2-11-11-11-112-22-2-11-11-11-111-1-221-11-100−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i30000000−i3i300−i3i3i3−i3000000000000
χ4422-2-22-12-1-1-2211-2-211112-12-1-1-2-22-2-12-1-12-22-211-2-21111-12-1-1-221-211-12-1-1-112-2-11-11-11-112-22-2-11-11-11-111-1-221-11-100i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i30000000i3−i300i3−i3−i3i3000000000000
χ4522-2-22-12-1-1-2211-2-211112-12-1-1-2-2-22-12-1-1-22-2211-2-21111-12-1-1-221-211-12-1-11-1-221-11-11-11-1-22-221-11-11-11-11-1-221-11-100−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i30000000i3−i300i3−i3−i3i3000000000000
χ4622-2-22-12-1-1-2211-2-211112-12-1-1-2-2-22-12-1-1-22-2211-2-21111-12-1-1-221-211-12-1-11-1-221-11-11-11-1-22-221-11-11-11-11-1-221-11-100i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i30000000−i3i300−i3i3i3−i3000000000000
χ4722-2-22-1-12-1-221111-2-2112-1-12-1-2-22-2-1-12-12-22-21111-2-211-1-12-1-2211-21-1-12-1-11-112-2-11-11-11-11-112-22-2-11-111-11-1-221-100−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i30000000−i3i3i3−i300−i3i3000000000000
χ4822-2-22-1-12-1-221111-2-2112-1-12-1-2-22-2-1-12-12-22-21111-2-211-1-12-1-2211-21-1-12-1-11-112-2-11-11-11-11-112-22-2-11-111-11-1-221-100i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i30000000i3−i3−i3i300i3−i3000000000000
χ4922-2-22-1-12-1-221111-2-2112-1-12-1-2-2-22-1-12-1-22-221111-2-211-1-12-1-2211-21-1-12-11-11-1-221-11-11-11-11-1-22-221-11-11-11-1-221-100−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i30000000i3−i3−i3i300i3−i3000000000000
χ5022-2-22-1-12-1-221111-2-2112-1-12-1-2-2-22-1-12-1-22-221111-2-211-1-12-1-2211-21-1-12-11-11-1-221-11-11-11-11-1-22-221-11-11-11-1-221-100i3i3−i3−i3−i3−i3i3i30000i3i3−i3−i30000000−i3i3i3−i300−i3i3000000000000
χ5122-2-22-1-1-12-22111111-2-22-1-1-12-2-22-2-1-1-122-22-2111111-2-2-1-1-12-22111-2-1-1-12-11-11-112-2-11-11-11-11-11-112-22-21-11-11-1-2200−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000−i3i3−i3i3i3−i300000000000000
χ5222-2-22-1-1-12-22111111-2-22-1-1-12-2-22-2-1-1-122-22-2111111-2-2-1-1-12-22111-2-1-1-12-11-11-112-2-11-11-11-11-11-112-22-21-11-11-1-2200i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000i3−i3i3−i3−i3i300000000000000
χ5322-2-22-1-1-12-22111111-2-22-1-1-12-2-2-22-1-1-12-22-22111111-2-2-1-1-12-22111-2-1-1-121-11-11-1-221-11-11-11-11-11-1-22-221-11-11-1-2200−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000i3−i3i3−i3−i3i300000000000000
χ5422-2-22-1-1-12-22111111-2-22-1-1-12-2-2-22-1-1-12-22-22111111-2-2-1-1-12-22111-2-1-1-121-11-11-1-221-11-11-11-11-11-1-22-221-11-11-1-2200i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000−i3i3−i3i3i3−i300000000000000
χ5522-2-2-122222-2-2-2-2-2-2-2-2-2-122221100-1-1-1-1−i3i3i3−i311111111-1-1-1-1-112222-2-2-2-200000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-11-11-11-110000000000000000000033−3−300000000002i−2i3−3−ii−ii000
χ5622-2-2-122222-2-2-2-2-2-2-2-2-2-122221100-1-1-1-1−i3i3i3−i311111111-1-1-1-1-112222-2-2-2-200000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3-11-11-11-1100000000000000000000−3−3330000000000−2i2i−33i−ii−i000
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Here i is the imaginary unit (i² = −1).